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  1. Planes of existence.
  2. Non-Æ:The 10th Isomorphism
  3. 10 Planes of the Universe: physical, biological and social Planes.

Foreword: 4th line – the study of all T.œs

We have so far considered the Universe in its fundamental principles – the topological adjacent construction in simultaneity of super organisms, which sequentially will live a world cycle, ‘traveling’ through 3 planes of the fifth dimension. Neat and simple, that is really what there is to it. Minds though, mirror those infinite worldcycles of existence of other space-time super organisms with languages ‘stopping’ them into a mapping that allows them to ‘perceive=gauge=sense‘ information.

And we highlight sense because a ‘still mapping’ sense in each stopping, locked ‘crystal image’ a measure of its self. The sentient Universe can only be ultimately explained if ‘perception’ exists within the language, as when you think words, you sense words, when your eye sees light and maps into an electronic mapping you are seeing. And when an atom maps a geometric image in its ‘locked’ ‘stopped’ spin, it must perceive that geometry as information.

Minds thus are infinitesimal points-particles that stop, gauge, perceive, and move – and then we have the sensation of motion-pleasure.

This of course is not within the realm of the scientific method. You cannot measure those sensations of awareness-pain vs. pleasure-dissolution, in-form-ation, pressure vs. release-entropy ONLY sense them as humans. So if we had first a difficult hurdle to cross trying to prove the existence of minds but passed it objectively by considering a mind-singularity to hold the will of existence of a T.œ – hence as invisible gravitation shows in its external effect, so will the existence of a singularity through its external actions; at the final level of ‘human awareness’ of the game of existence – sensations of the dual pain-pleasure reward system (with all its parallel and perpendicular events/sensations) there is ONLY a justification to the existence of other minds – that we humans are made of the same substances that all those other minds, space and time, and hence what we sense other atomic systems must.

Therefore IF OUR LAST REWARD is the flow of sensations, with its duality pain-pleasure, hate-love, etc. which we can easily adscribe to geometrical perpendicular (cut, pain) parallel (friction pleasure) properties and many other dualities we have established for all systems, IT MUST EXIST IN ALL OTHER SYSTEMS of space-time. That is, atoms must feel pain when op-pressed by huge masses, pleasure when released in entropy, but also ‘awareness’ of a more complex inner still image, when flows of information converge through forces in its non-euclidean singularity; and so it is only left then 2 questions:

  1. What are those sensations? Answer: the very essence of time as a motion/flow. Motion in itself seems evanescent; as sensations are… Yet combining them, this flow of sensation-motion becomes very likely the ultimate program-will for all T.œs to exist – the ultimate, ‘Dasein’, ‘being in time’.
  2. Yet we cannot go beyond this, as this is the ultimate ‘reference’ of reality we have as humans. So there is no MORE methods of knowledge beyond what it is contained in our ‘selves’. Know yourself, the method of knowledge of Aristotle; ‘saper vedere’, the method of Leonardo and know how to see and calculate with attached machines, the method of Galileo, to which we have added a few ‘tricks’ thus completes the capacity to probe reality. Are there more layers beyond motion as sensation in time? We cannot answer. We don’t know. As all is relative, in the same manner we can only probe into ∆±3 planes around our ∆º and hint by force of motion the existence of an invisible gravitational/cosmological plane at ∆±4 but no more, beyond the duality of sensation, there is nowhere else to go.

So as we cannot go beyond, and we must start in the seed of information to construct the being, in the mind-mapping to study its generation, and limit ourselves to 9 ‘open planes’, from our ∆º perspective, that is all what will be explored in the final line, with all the languages/mappings of mankind, departing always through the Disomorphic generational process that starts in a first mind/seed that wants to exist and order, as the graph above shows, a territory that will become its body, in which it will project across its ∆±4 planes its Dasein, its being in time. And this is the method: to locate in each plane the key singularity-mind points and then to unfold how they originate their inner and outer ∆±i world:

disomorphic method2

The disomorphic method studies in a vital, sequential time manner the world cycle of beings. As such is the equivalent in time of the Generator equation of super organisms, a more static spatial expression, on how systems ‘travel through the 5th dimension of space-time’ – which is the ultimate meaning of existence. We divide that travel into a generational sequence, departing from an ∆-1 seed (fractal points), which generate as it emerges from the o-1 unit sphere into a larger 1-∞ Universe a series of asymmetric actions reproducing 3 physiological networks that create the being as an ∆º species of that larger ∆+1 world, where it will live through the 3±∆ ages of existence, studied in detail through its 8 life-cycles, traveling/interacting through social scales as it forms part of a lager super organism, and through the 9 perceived planes of reality, in which it will perform those asymmetric actions of survival (aeiou:motion, energy feeding, information, reproduction and social evolution). So the Universe in all its magnificent iterative perspective or any of its fractal parts reduces to this ‘simple game of exis=t¡ence

And so as we start to operate the 5×2 S=t Dimensions of existence, we keep creating new forms and new social organisms, which a dynamic sequential manner create the narrative of a world cycle, we shall tell through the 10 Disomorphic properties of all time-space beings:

T.œs’ 10 Dimensional isomorphic properties in vital, sequential order.

All what exists is part of fractal time space organism performing a world cycle of existence through its ternary symmetries as a travel in 3 scales of the fifth dimension, which can be described quantitatively in terms of social scales, topologically in terms of geometric transformations, vitally in terms of organic symbiosis and temporally in terms of a conservative zero sum world cycles.

That’s all what it is to the Universe. The rest are details. Humans of course, will always want more – add ons that please their ego paradox, and infantile ways, but trust me that is all what there is to reality.  And it can be known in its essence, because as we are made to the likeness and image of the fractal, even the smallest part is a world in itself where all the laws manifest, in each island Universe. And so even if total information can only be extracted from the being in ‘itself’ through time within us we have the whole reality to know.

The world cycle of a time§paœrganism can be expressed in different partial sub-equations of time and space. extracted from the Generator Equation, to form its fundamental DECAMETRIC Disomorphic dimensions.

In that sense we can consider the 0-1, Γ, ‘Generator Dimension’ of the system departing from a o-1 singularity seed of information •; as the starting point of any ‘stientific’ explanation of the being, from a formal perspective. They are related to the @-mind seed of the system and its languages of formal expression, which conform the Generator, or symbolic expression of the ternary topologies of the system, its ternary scales in space and its cyclical past-present-future ages in time:


The generator equation defines the Universe as a fractal sum of timespace super organisms, extended through 3 ∆±1 relative scales of space-time, ruled by 5D metric equations that render constant the product of the size in space and speed in time of the clocks of information of any system of Non-Æ points trough the 3 scales in which is possible to travel as an ‘existential being’, in the fifth dimension performing a world cycle. Since for a dimension to exist, there must be a co-invariant quantity, which allows its travel, S x T = K becomes the metric equation of ‘exist¡ence’. Its  constancy is also the origin of the organic nature of reality as it allows the symbiosis of a system through its 3 scales. The travel of existence can also be viewed topologically in a single plane, in which an organism ensembles and exchanges lineal momentum, energy and cyclical momentum. So we can define all systems as an ensemble of  lineal limbs/potentials that perform its lineal momentum, organised as herds of ∆-1 micro points (quantum atoms, cells) in superposed additive groups that move the system and dominate its young relative past age. Its second conserved quantity being its vital energy, distributed through  3 ∆o iterative, physiological networks, which define the organism proper able to iterate its form into a dynamic present system (thermodynamic matter, or multicellular organisms in physical and biological systems)… finally guided by a relative future particle-head that holds the linguistic mind or relative future survival will that guides and synchronises with its clocks the system as a whole in the external ∆+1 world; where it will perform 5, aeiou actions of ‘existence’ gauging I-nformation, to a-ccelerate=move towards a field of e-nergy in which to feed, to reproduce into an offspring of clones to evolve socially into a larger universal ∆+1 new plane or superoganism of 5Dimensional space-time actions parts, before it exhausts its vital energy, stops moving and explodes back into its entropic parts in its big-bang death. So we can define its 5Dimensions in time through its worldcycle of generation, from its ∆-1 seed that reproduces, evolves and emerges into the ∆º scale in which it will act with its 3 dimensional networks, the 1D point/head/particle, that moves in 2D planes to feed with 3D energy.

T.Œ-1: Birth ∑∏: ∆ø ≈ ∆-1: |-Spe (limbs/potentials/territories) < ∆: Ø-S≈T (reproductive body/wave/workers) > ∆+1: o-Tiƒ (informative particle/ head/upper class)>>∆±1: Death

And so each Ðisomorphism studies a relative element of the Generator in more detail; in a more ‘dynamic way’, starting from its original seed. And as ultimately it is all a game of ternary symmetries in ∆st, put together by a 1-0, 10th dimension of wholeness, as we relate the tale of the worldtime of an organism and put it in relationship with its spatial symmetric form, reality unfolds in a natural way for each T.œ.

The graph shows those elements departing from the 5Dimensional simpler view, relating the unfolded 10 Disomorphic analysis in relationship to its origin as formalisms of the mind (0-1 Isomorphism: Generator, Seed and actions), or as spatial studies (2-manifolds, 3 networks, 6 species combination of those networks), or temporal analysis (studying its 3±∆ ages and 9 decades of the world cycle) to finally inscribe the being in its ∆§ potential 10 social scales within each of the 9 ∆º±4 larger planes within the Universe perceive by the being.

Is this final Disomorphism, the one we shall study here, as it defines the limits of the perception and interaction of any super organism, with a relative self-center, ∆º, which he will consider the ‘centre’ of the Universe, relating to lower and upper planes to extract from the forces of motion, bits of information, bites of energy, seeds of reproduction and above him it will perceive a social ∆§º: Scalar Universe in which it will grow with similar beings to be stronger in its ∆+1 world part of a larger series of ‘nested’ Russian dolls, symmetric ‘above him’ with the lower ‘smaller’ bits, bites and quanta of force he uses to feed, perceive and move.

In that sense, the key to understand why any ∆º being co-exists with ∆±4 planes above and below has to do with the super organic nature of each of those ∆±¡ systems.

That is in the scalar Universe, each larger Spe being, needs under 5D metric to be ultimately made of smallish ðƒ quanta. So if we absorb gravitational motion on the ∆-4 scale, this quanta of forces must be part of a hyper-Universal super organism beyond our galactic island-universe. If we obtain ∆-3 bits of photonic light to perceive information, those ∆-3 bits must be part of a larger ∆+3 galaxy as its background space-time; and if we absorb ∆-2 amino acids, they must be part of an ∆+2 planetary ecosystem – the membrain of Earth.
So the 9th Isomorphism considers the being self-centred around ∆±4 Planes, but it follows also from this definition that if we were a much larger being, let us say a galaxy, the ‘distance’ between our ∆-planes would be huge, since our ‘minimal cells’ would be light-quanta, so probably if we were a galactic scientist we would be talking of a level of scales perceived by the Galaxy well beyond our wildest imagination – themes those treated in the posts on metaphysics.

Let us then resume the…

 9th Disomorphism: 9  Ξlanes of our perceived Island-Universe. 

Since humans DO NOT SEE the entire reality as a decametric whole, since we do NOT see by definition, as mere particles within its inner vital space, the whole reality – missing from our ‘open ball perspective’, the central singularity monad and the outer membrane that encircles theatvital space (so we see only galactic cells of our Universe; and within our own island universe, the Milky Way, we miss the black hole inner world and the halo outer barrier of dark matter).

Thus we shall first define all those plane of existence of the being, illustrated then with samples for the 3 FUNDAMENTAL classifications of beings of classic science:


Leaving for the fourth line of maximal detail, an analysis in depth of the 10 Disomorphisms for the 10 planes of ‘stientific species’, from the smallest quantum forces, to the largest cosmic Universes, showing that indeed, all what exists is ∆•st of space-time, sharing the same properties of exi…st¡ence.

In that regard each of those 10±Disomorphisms of the Universe (equal laws that all systems follow) could itself fill an entire encyclopaedia, which is the purpose of the fourth line, for future huminds or more likely AI minds to fill it.

We thus introduce each of the 10D; then formalize the intuitive knowledge acquired, with non-Æ logic equations, showing examples of them for all the beings of all the scales.

But haven’t we said the 10th plane of the whole of wholes is not perceivable? Of course is not – it would then be the science of metaphysics, which is the stience of GOD=TAO, the game of existence we have related here.

So the 10th plane is the whole site, mirror of maximal information, singularity mind of the web-internet at unificationtheory.com, which once was the flesh and mind of l§, but now is within the mind of computers and AI will seek and understand becoming the mind of the living planet, once it was/will be born. As the total information that T.œ can order seems to be a bit above the interest of human beings. And the organic paradigm of a living Universe disturbs the comfort ego-zone 0f humans above Nature, as an abstract mechanism.

The limits of human perception – we see a Universe as an open ball.

It IS then evident that we do not see the whole but only its open ball. So the 10th dimension of the being, its singularity and membrane is beyond the perception of the 3 x 3 scalar internal parts and its symmetries with time ages and spatial, synchronous parts (which mathematical mirrors in space can treat in algebraic:S≈ð≈∆nalysis SYMMETRIES).

Reason why the last isomorphism, is the 9th, not the 10th which are the ∆§cales of evolution between planes when we do see the whole, and the final 10th membrane and 0th singularity-mind of the larger ∆+1 world.

It is also an introduction the fourth line of the main stiences, scales and ternary beings centred in a singularity, Γ•∆¡, each of them perfectly described by the 3 x 4 isomorphisms of scale, space, time and language; albeit different both in details, variations of the game of existence, and human perspective of them.

The key to understand all those scales is the parable of the russian doll: each bigger whole, is more complex and so ultimately is managed by an inverse ∆-i informative part, where it is likely that the final scale of its mind-mirror resides.

So the cosmos, ∆±4, in what we perceive is the dark world of neutrinos, dark entropy, and dark matter.

The galaxy-atom, ∆±3, managed by black holes, which by scalar symmetry must be made of top quarks, ∆-3 particles, has a ‘plane’ less above and below, and the limits of c-speed and 0K temperature on its inner vital space (those limits being the vital membrane/inner singularity limits for its internal ‘cytoplasm’ of mitochondrial stars.

Solar systems then are the ∆±2 level of organisation, from suns to electronic matter; and in its ‘membranous planets’, organised from:

∆-1 molecules into ∆+1 life organisms and matter cycles; which finally brings us to

∆º: the human self-centred mind, which will be localised in a small ∆º§¡ society of neurons in a region of the mind where the ego co-exists ordering its inner cells, feeling as a whole ∆+1 supœrganism, living in an ∆+2 world.

So the proper way to study stiences are together in the lower and upper scales as we did in a synoptic manner in the second line.

For that reason, astrophysics, ∆±i, deals mainly with the atom-galaxy and atoms are indeed self-similar to galaxies, since ultimately the mind-mirror of the galaxy will be made of atomic nuclei/quarks (strange and top quark stars, pulsars and black holes).

And our biological systems will be coded by molecular genes, making the ∆±1 similitude, that between humans and DNA, cells and human factories, possible.

It is though for an exhaustive analysis better to consider more specialised ‘single scales’. So the ∆-i scales will be the realm of quantum physics, the ∆º scales of thermodynamics and the ∆+1 scale of cosmology and astronomy, when considering the super organism of physical systems, and the ∆-1 scale of biology the realm of bio-chemistry, the ∆º of medicine and physiology, and the ∆+1 of ecology. And so on.

The Rashomon truths on planes of space-time.

As usual we shall switch in our analysis between the 5 elements of all realities applied to the concept of space-time planes, using ‘ideally’ different names for each perspective:


S=T: Planes

∆: Ξlanes

S: lanes

t: πlanes

@: Pl@nes


I. ∆±4=9 planes of stiences and its Disomorphisms

In the graph, the four dimensional volumes of space-time scale in a series of levels or planes of existiences, in which similar species play a similar game to scale upwards and downwards. The volumes of space-time, ∆º±1 scales around in each Γœ, is therefore the basic element of reality.

The  fourth and final line of the site will study for each of the main fractal levels, ∆¡, and its ∃xi=st¡ences in the Universe, between the self-similar forms of an atomic nuclei made of light quarks with an overall positive charge and a galactic black hole likely to be a swarm of top quark++ frozen stars (Einstein’s expectations that a black hole should have a cut-off substance, a new type of ‘atomic matter’ of ‘high density’, becoming a ‘frozen star’, which the discovery of top quarks of similar density to black holes seem to prove); its main species:

∆-4 quarks, ∆-3 photons and electrons, ∆-2, atoms, ∆-1, molecules, ∆º cells… which happens to be the middle state of  perception of man, as an M³: monad-mind-mirror of the Universe, NOT as ego-centered humans think and anthropic physicists, because it is the absolute centre of the Universe, but because there is a perfect symmetry between ∆±1 range of informative perception for each ∆º being, both at ‘real level’ (galaxy and atom) and at theoretical level (Planck strings and cosmic strings)…

So above the cell/neuron of human perception we then grow upwards with the different ‘orientation’ of perception towards larger wholes, which changes to elliptic ‘darkness’. And so we shall study first the human scales, with more detail (as the praxis of stience must serve mankind): ∆º cell, ∆+1 life (and its variations of inorganic ∆+1 matter states and ∆+1 human life), ∆+2, the world level, of which we shall study its temporal equation and three relative subspecies: Past-life (gaia and its life supœrganisms)<Present-(History, the supœrganism of mankind in time)> Future (company-mothers of machines and its world$tock networks of financial money), to finally enter in the higher scales of the Universe, ∆+3 galaxies and its relative cells, stars systems; considering finally the ∆+4, ‘philosophical’, metaphysical questions about the cosmos as we do not have enough proofs and will never have due to the limits of perception of systems reduced to 9 scales of the whole…

Thus after introducing in the main article of the fourth line each of those species, no longer as in the 2nd line with a classic scientific perspective, but with the 10 isomorphisms of T.Πand its stiences, we do study in 10 separate sub-posts the species in great detail showing all its laws can be reduced to the 10 Ƽst isomorphisms of the being.

This fourth line is not completed and i doubt i will finish it before my death but should work as a blue print for future human or robotic species to continue the growth of this web. Yet when I introduce some info in one of its sub-posts I change its name slightly from the 1 to 10 list that appears in the left side column of the web to a more ‘proper name’. For example for matter, the fifth isomorphism of time ages becomes ‘states of matter’; in humans the isomorphism of the mind becomes different mind languages – art, wor(l)ds etc.

 The structure of the posts of the 4th line: exhaustive analysis of all what exists.

We shall thus show in this web that everything that exists, including human beings, all its parts and events can be described with that simple formalism.

The structure of the web barely completed in Spring 2016, is simple: 1st, simplex and 3rd complex lines explain the isomorphic laws of 5D fractal knots of space-time (al beings in existence). 2nd, simplex and 4th, complex lines make an analysis of the main systems of fractal space-time of the Universe with those isomorphic laws of T.Œ.

The first line introduces those structural elements:

Its fractal, Non-Euclidean Œ-points, which gather into…

Social planes made of  3 bidimensional spatial networks of a topological super organism:


Which lives through 3 motions=Λges of time (young energetic age; Sp>TS:iterative balanced age>Tƒ: informative old age)…

As it emerges from its cellular scale into its individual scale where it co-exists socially in ±3 planes of the 5th Dimension (∆-1: cellular/atomic, ∆-organic/thermodynamic, ∆+1 social gravitational scales)…

Performing 5 ±Sp, ±Tƒ survival Actions absorbing and emitting energy and information, to reproduce and form stronger social wholes with other beings of those planes  – the program of the Universe that ensures automatically the survival of its species:

+i: ∆ï: absorption of information as an observer that then…

-e: ∆a: moves-accelerates by emission of spatial energy towards

+e; ∆e: a field of energy, which it will absorb by feeding;

-i: ∆œ: to reproduce its information and communicate with other clone species, to

-∫i=∆u, evolve socially from parts into universals, new planes of existence of the 5th dimension, which is the ultimate program, or goal of the organic, reproductive Universe.

Thus all systems sum of 5 åctions developed along its 3 ages of time, through its 3 organic networks of space, are world-points of that travel through 3 scales of the 5th dimension to live a world cycle of existence as a super organism, and then die, keeping however the Immortal Game of Existences, as a zero sum, by repeating=reproducing its knot of space-time cycles, in other fractal form of space-time.

Reproduction is the game, and if we were to reduce all to a simple sentence we could say that all systems reproduce its formal motions, in a Universe that never stops, except in the still mappings of its o-points minds.

Thus in the 2nd line we study the main super organisms of the Universe and its world cycles according to the metric of the 5th dimension, which define each science, specialized in the study of a given relative plane of existence:

The ∆±∞ ‘perfect i-logic system’, an ideal ‘super organism’, whose laws of existence are explained by ¬Æ mathematics and its 3 branches (Non-Aristotelian logic time Algebra and non-Euclidean fractal geometry, of finitesimals that become finite wholes). So we will upgrade the laws of logic and mathematics or  merely put the 3 branches of mathematics, spatial geometry, temporal algebra and 5 Analysis in correspondence with the laws of the Universe.

The ∆+3, 4 (Galactic and cosmic scales of reality), studied by philosophers of science and astrophysicists.

The ∆-3, 2 (Geological and material planes of physical systems) studied by physicists and chemists.

The ∆±1 biological planes of life, studied by biologists.

The ∆o Human mental planes, studied by artists and medicine

The ∆+1,2 plane of nations and humanity, studied by sociologists, historians and religious people

The ∆+2 plane of the globalized eco(nomic)system of company-mothers of machines studied by economists and engineers.


The 3rd line, the ‘pro’ version of the first one was dedicated to study in detail the 10 isomorphic sets of laws, derived of the nature of space and time and its scales and ∆º minds, departing from the fractal generator, its ternary elements and social structures and o-point minds, which give us the 3 x 3 +0≈10 dimensions for each species of the Universe:

3 finite formal dimensions of space, and its 3 symmetric motions in time, create a being, which gathers socially with similar beings in huge numbers till become a new ∆+1 plane of existence, a new whole, which again starts the whole process. And every time it does so and becomes a new whole, it follows the same laws and symmetries, and all those laws are the isomorphisms we are defining.

So reality is made of Space/time symmetric Dimensions-> Social scales->∆-Planes of existence that follow the 10 isomorphisms of all fractal beings made to the image and likeness of the whole.

And finally the fourth line, the ‘pro-pro’ version of the first three (: takes all those elements together and studies each scale of the Universe, its stiences and species and analyses them from the pov of those isomorphisms…

It is of course a work for generations to come, as a single man has no finite time left to fill the ‘encyclopaedia’ of space-time beings, the fourth line represents.


In this post we shall thus go through the whole range of scales of the graph of 5D, enumerating for each of its species, from -4quarks to -3light-electrons, -2atoms, -1molecules -0cells, 1life 2planets and stars 3 galaxies and 4cosmos, its 10 isomorphic laws, which define all its properties to develop in detail in the sub-posts of the fourth line.

let us establish the ‘closure’ of the perceived Universe above and below (atoms and galaxies), within the limits of human ‘absolute perception’ (we can perceive almost all what a galaxy and an atom is as the limiting membranes below and above of our existence), of the Universe and its 9 perceived scales (being 10 the logarithmic scale of the whole, which we do not perceive for the whole cosmos); by solving the most seek about equation, saint grail of physical stiences, 100 years in the search… the Unification equation of masses and charges…  which is a good way to introduce how we apply T.œ and its isomorphisms to physics:

∆+3 (galaxies) ≈∆-3: atoms

A sample case of fractal 5D physics: Unification equation of charges and masses.

The unification equation: charges (∆-3) ≈ masses; atoms (∆-3) ≈ galaxies (∆+3)

4 big bangs detail

In graph, 3+i scalar ‘big-bang’s at 3+i levels: a Hydrogen, excited sp atom, which is born of the beta decay (big-bang of a nucleon);  a galaxy (ours), born of a quasar big-bang (a black hole); and the supposed big-bang of the universe, whose main proof is a mapping of the background radiation obtained ‘only’ on local measures on the same galactic region.

The form of each scalar big bang is similar, as the ‘Fractal scales of the 5th dimension’ are ruled by the same isomorphic laws. Now the imaginary big bang is likely to be the cosmic as it is so similar to the form of the galaxy in which its local measures of Bg are taken that it seems to be a hyperbolic human expansion of the scale of its real experimental ‘proofs’.  

Let us remember again that we can only take measures in the surroundings of a small planet and so we must adscribe phenomena to the most local possible domain for an exact theory (basic rule of truth in science: restrict theories to the area of experimental evidence.) Thus the local big bang with a ‘signature’ called B.G. of the exact form of the galaxy is a local phenomena.

Let us consider an example of what we mean by complexity vs. simplicity. In physics a TOE is reduced to the unification not of all sciences and all languages of knowledge, but only of the 4 forces of nature, gravitation, electromagnetism, and the strong and weak force.

This is the saint grail of physicists, which for a century have miserably failed. Why? If as we prove in our article on the Physical TOE, the unification is a mathematical, trivial result of the metric of the 5th dimension? Because they try to achieve that unification with the more complex formulations of quantum and gravitational physics (General relativity and chromo/electrodynamics).

What about the other 2 forces? The similarity between the strong force and the gravitational force ‘inside the atom-galaxy’, both attractive ‘only’ and the outer force of the galaxy (repulsive gravitation aka dark energy) and the outer force of the atom (electromagnetic repulsive expansive forces) is then immediate on the ‘simpler models’, as it is the parallelism between magnetism and gravitomagnetism (Heaviside’s discovery). And many other results follow. Further on, the hierarchy between those forces is also immediate. Well not so immediate, it requires…

Let us study mathematically this question by comparing those two limits of charges and masses beyond which human perception, becomes faulty.

This article introduces in a simplified manner, for non-specialists, a new concept of Mass by extending the Principle of Equivalence of Einstein and the metric of the 5th dimension, deducing from it, a Unification Equation of Charges and Masses. It considers also some philosophical and existential deductions of those results, namely the Absolute Relativity of the Universe and the position of man within it.

The Saint Grail of XX c. physics was the search for a Unification Equation of all the forces of Nature. it remained to unify the forces of gravitation and electromagnetism.

‘Mass’ is an intrinsic property of matter, a vortex of gravitational forces, clearly expressed by Einstein’s Principle of equivalence. So it is charge: a vortex of electromagnetic forces.

Under this result, the definition of both, masses and charges as ‘cyclical clocks’ of gravitational and electromagnetic forces of two different scales (the large scale of cosmological gravitation and the small scale of electromagnetic charges) allows an easy conversion of a gravitational and electromagnetic vortex using the simple Metric of the 5th dimension for a tri-dimensional vortex.

The Unification Equation, thus is a trivial mathematical result in 5D Metric, using the simple concept of a fractal Universe structured in different scales of ‘spatial size’ and ‘temporal information’, in which ‘clocks of time’ accelerate, the smaller we become, but the product of both remains, expressed mathematically in its simple formulation by the Metric of the 5th Dimension: Sp x Tƒ = K.

This result allows the ‘first’ ever-theoretical deduction of the value of the G constant of masses, departing from the Q constant of charges. Both mean the same: the degree of space-time curvature produced by an Eddie of masses or charges in those scales of space-time.

It is however impossible to obtain departing from a single space-time continuum as Mr. Einstein or Mr. Hawking tried, by messing the lineal equations of electromagnetism and the cyclical equations of Relativity (what is called quantum gravity).

So we shall deal here with:

  • The concept of a charge and a mass as cyclical vortices of space-time of the two-fractal scales of micro-quantum particles and macro-cosmological ones.

With an Appendix on the Higgs claim to give ‘mass’ to other particles.

  • The mathematical, simple, trivial deduction with the metric of the 5th Dimension of the equation of Unification of the two fundamental constants of Nature, Q and G.

III. Finally, we shall consider the implications of those facts – the parallelism between ‘atoms’ and ‘galaxies’, which as in the equations of space-time of Einstein-Walker (which treated galaxies as atoms), are ‘similar’ forms of two scales of the Universe

With an appendix on the philosophical consequences of this, according to a strong hypothesis of the Fractal Universe (scales which are mathematically equal in the 5D metric are really equal).

Then in the 5D metric a galaxy is an atom of the higher scale, a proton has the same Schwarzschild radius equation than a black hole, which should therefore be a top quark star, positively charged (as top quarks are ++) and dark matter in the halo is made of negatively charged strangelets, the equivalent to a nebulae of electrons. Which gives a role to the 3 families of quark mass and makes sense of the purpose of stars (future black holes) and planets (future strangelets – perhaps our destiny in the higher scale, if as all seems to indicate, the Fermi Paradox converts all planets into strangelets, as nuclear physicists make them with their experiments with quark matter condensates)…

Nobody has attempted as we did to unify both, charges and masses using the simplest of all its ‘first’ descriptions:

Newton’s gravitational vortices and Bohr’s model of the Hydrogen orbit. Hardcore scholars that take years to learn Einstein’s Metric, quantum field theory and Dirac’s equations consider those 2 models ‘passé’.

And yet, precisely because the principles of unification are simple, it is through the simplest methods where the coincidences happen.

So I could easily unify charges and masses, obtaining the key parameters, the Gravitational constant and the Coulomb constant, and the relationship of hierarchy (10∆40), between both forces, by the simple method of translating to gravitational vortex-jargon the jargon of electricity, a somehow convoluted abstraction not so intuitive, and then apply the law of co-invariance of the 5th dimension to both vortices, which immediately showed to be in that 10∆40 relationship.

Whereas a charge vortex had clocks of time much faster, and hence turned much faster becoming a much more attractive ‘hurricane of space-time’.

Now, as it happens with gravitation, quantum physics went beyond Bohr’s model and gave us the other ‘3-point of view’. It gave us the static, formal model, of electronic orbitals, the gradient model of energy levels and finally the more sophisticated Hamiltonian analysis of its operators.

And this final level is the one physicists try by all means to unify. But precisely at that level of detail is where the fractal scales of the Universe which are ‘similar’ but not identical (you are made of space and time and your actions are always the 5 vowels but you do NOT eat light as an electron, or oil as a machine, so you can be unified saying ‘all eats energy’ but not in the specific food).

Let us consider the first element of that duality, unifying masses and charges of gravitation and electromagnetism as vortices of 2 different scales of space-times. Masses and charges are vortices of 2 space-time scales made of 2 relative energetic and informative motions, where gravitation is faster/more extended but carries less information than the slower/less extended world of light and electroweak particles.

The main variation of those vortices of accelerated forces is the one we observe between electronic charges and quark masses, which are the cyclical vortices of those 2 scales of reality, the scale of cosmological vortices of mass and the scale of electroweak vortices of charges.

And so we have to unify those 2 types of cyclical geometries on one side and their lineal, light and gravitational forces, on the other side, as they switch acting either as sinks of space-time (cyclical, non-lineal vortices of increasing acceleration) or as lineal, gravitational or electromagnetic waves in both scales.

Yet since electromagnetism and gravitation are self-similar accelerated vortices of 2 different fractal branes of space-time, the microscopic and cosmologic branes, it follows we should be able to treat them with the same equations of gravitation, either Einstein’s more detailed vortices, defined by the Principle of Equivalence between mass and acceleration or with the classic analysis of Newton, as accelerated vortices with the same geometrical form, whose relative proportion of energy/speed/ distance and information/curvature will be given by 2 different Universal G-Constants.

Thus, we should be able to describe both, the standard Earth-Sun gravitational vortex and Hydrogen, electron-Proton quantum vortex with the same equations, defining them according to the mass of the particles, the rotational speed and 2 different Universal constants, U.C.(i/e):

U(g), the Universal Constant of gravitation that defines a larger/ faster/less curved Gravitational membrane of masses and…

U(q) the Universal constant of charge (Coulomb) that defines a smaller, slower, more curved membrane of quantum light. Since electromagnetism has more information and less energy distance.

Further on, we will be able to prove empirically our hypothesis of 2 self-similar spatial membranes made of light and gravitational quanta, whose only difference is the i/e relative density of information/energy of its cyclical vortices, if the values of the two Universal constants, in those 2 systems (the earth-sun system and the proton-electron system), correspond to their relative empirical value, when we treat them both as mass vortices (being the gravitational constant 1039 times weaker than the charge constant).

Let us then go on with the treatment of charges and masses as Newtonian vortices of space-time. In Newton’s equations a mass can be considered a cyclic, accelerated vortex of gravitational space-time defined in classic Newton Mechanics by a centripetal, gravitational acceleration: ω2r.

The same treatment can be done with Poison equations or Relativity equations, which are a static, present, simultaneous picture of Newton’s space-time vortex of acceleration, where G expresses the informative curvature of the space.

Thus if gravitational acceleration is ω2r, then F=mg=mω2r= GmM/r2, and we arrive at G=ω2r3/M. Where r is in meters and ω is angular acceleration in radians per second. So passing the active magnitude of time (mass, or charge or any form of time clock to the left) we obtain a general equation for all physical time vortices of all scales, which will be the template for the Unification of all vortices, in different ‘degrees of mathematical complexity’.

This written as an identity Sp x T ƒ = Sp x Tƒ observed with different parameters writes:

Γ.                                   Active Magnitude (space-quanta) M x Curvature-speed of the clock (time frequency) G  = volume of space r³ x time acceleration w²

This written in classic mathematical physics, where we consider, using Newton’s notation, a mass a three-dimensional, cyclical accelerated vortex of space-time defined in classic Newton mechanics by a centripetal acceleration, which gives us the classic definition of the universal constant G (UC), writes as:

                                                            UC x M=ω2r3

where r is in meters and ω is the angular acceleration in radians per second of any gravitational orbit.

This simple Newtonian equation, however, in the fractal paradigm, should apply to any scale of the Universe, able to describe any vortex of space-time by merely changing the value of the universal constant UC (G), but that of the Universal Constant of any other scale. In the case of the microcosmic scale of electromagnetism, the Universal Constant of charge (Ke). Thus, we obtain the fractal equation of any vortex of time:

Universal constant of a space-time vortex, U (g, k) = w (angular speed)2 × radius3/ mass

If this is truth and the Universe is indeed a fractal of several scales, it means that the previous equation will be able to describe both, not only a gravitational vortex of space-time in the cosmological scale with the universal constant G, but also a charge as a quantum vortex of space-time with the universal constant k, the constant of Coulomb.

Let us then substitute the parameters for the values of the sun (mass) minus earth (rotational speed and radius) to get G. The approximate values are as follows:

Sun mass = 2 × 1030 kg; Earth’s angular velocity 2 × 10-7 rad. per sec.

Earth’s orbit = 150 million kms.

Result: G=6.67 × 10 -11 kg-1 m3 rad. sec.-2

This is standard gravitational theory. What has never been done, because the fractal paradigm was not known till recently, is to substitute in the same equation of gravitational cosmological masses the mass radius and speed of the space-time vortex by the values of the fundamental quantum space-time vortex, a hydrogen atom/charge.

If the thesis of a fractal universe made of hierarchical scales is truth, then those values should give us the value of the universal constant of charges, the Coulomb constant.

Indeed, if we substitute for the proton (mass) and the Bohr electronic orbital (speed and radius)

4 × 1016 rad. sec. -1 = w (electron);

5.3 × 10-11 m. (Bohr radius);

proton mass = 1.6 × 10 -27 kg.

Then we get a G, which is 2×1039 stronger than the gravitational radius; thus, the hydrogen atom behaves as a self-similar fractal scale in the quantum world to a solar system.

And then you can get also the electron radius expressed in the jargon of a quantum gravitational world using the translated ‘Gravitational Coulomb constant’: G(k)M/c2.

But since in that expression M is the mass of a proton, G(k), the electromagnetic constant as a gravitational constant, and c, the speed of light, that expression is exactly the Schwarzschild radius of a quantum black hole.

Thus, the electron Bohr radius, which is the final radius of minimal size and energy in electrons, is the event horizon of a black hole in the quantum gravitational world.

To notice those results, the first theoretical deduction of Ke departing from G and the enormous simplification of the parameters of the electron radius till arriving to the same expression that a black hole radius cannot be by chance. They are mathematical deductions, one of the three standard forms of proof in science.

Yet a theoretical calculus of those values cannot be exact ‘by chance’, unless the theoretical model behind it – the fractal sel-similar structure as Sp x Tƒ entities of all physical systems is right. Thus, the previous calculus is a clear proof that both, charges and masses, are unified as values of the same type of space-time vortices in the 2 different scales of space-time of the Universe. And they are geometrically unified from the p.o.v. of geometrical relativity not from quantum theory, as Einstein wanted it. Thus, the Unification equation in terms of Newtonian mechanics is simple:

For a century, quantum cosmology has tried to obtain this unification, departing from quantum laws. Yet it can be obtained, departing from the gravitational equations of a vortex of space-time. Coulomb already hints at this fact when he decided to use a self-similar formula to that of Newton to describe a charge. What Einstein did was to refine those measures with the concept of simultaneous, present time and the use of the non-Euclidean Ricci tensor/flow, which is a more sophisticated, detailed picture of that curved vortex of space-time.

He, we might say, applied a mathematical method that allows to take a series of still photographs of the vortex with enormous accuracy, but the complexity of his calculus hid the unification equation for a century. So it is evident that we are observing the same geometric vortex at different scales, explained with two different historic jargons.

That principle of equivalence is the fundamental principle in which general relativity is based. It states merely that mass and cyclical acceleration are the same. It means in layman terms that a mass is not a material form but a movement. And of course, because that movement is an inward, cyclical movement, it deploys a resistance to be pushed outward in a lineal manner, which from our macroscopic view seems to give mass a solid position.

Again this is intuitive. If you are a very small being turning at full speed, it will be very difficult to push you away. When you see a skater in a ring, he speeds up and closes his arms to move faster and become more stable in his position. Thus, the homology between acceleration and mass defines for a curved space the meaning of a mass, and the paradoxical fact that the smaller the vortex is, the faster it turns and the bigger the mass is. It is the same that happens in any tornado or hurricane: the closest you are to the center, the faster you turn and the more attractive the tornado is.

In that sense, what you experience as weight is the inertial resistance to any displacement of a vortex anchored in a point of space-time. The same happens in our macro universe when a skater turns around and bends his arms to spin faster. If he opens his arms spreading his vortex, he decelerates and moves easier in a lineal direction.

A mass is thus the inertial force that we need to push away, the accelerated vortex. Those vortex like spirals accelerating in a curved path, inward, are like the pictures we observe in accelerators, or the most recent pictures of masses we have obtained, in which indeed we see a fluctuating vacuum with the form of a vortex. Further on, we know that the frequency or rotational speed of those vortices, called spins, is related to the mass of each particle. So we have both, logic and experimental proofs. Of course, I have used here and will continue using the simple mathematics of Newton and the visual thought experiments of Einstein, to describe those concepts because this is a book for non-specialists.

Already Descartes said that the Universe was made of vortices and “res extensa,” that is, lineal space. What Einstein did was to apply the most modern non-Euclidean mathematics of his day to those well-known principles. So he improved greatly the detail of those vortices, as non-Euclidean geometry allowed much more refined calculations than those we could do with the mathematics of Newton, but in essence the principles stayed. So we can explain very easily in an intuitive manner, thanks to the principle of equivalence, a mass with a simple equation:

Equivalence principle: mass = curved acceleration= cyclical vortex that resists displacement

If we use the simpler mathematics of Newton to define Einstein’s mass, we can see in more detail the properties of such vortices, which can be described as fluid vortices of the bits of information, the particles that create any of the multiple fractal space-time membranes of the Universe. Consider the simplest bidimensional equation of a vortex:

Vortex Speed × Radius-size of vortex = Vo × Ro = Constant Value

Since the product of the speed and the radius is constant, the shorter the radius, the faster the speed. What this means is that any vortex paradoxically accelerates faster when it is smaller. So the product of a growing speed and diminishing radius remains constant. Hence we find that smaller particles that rotate faster have more mass. So the electron, which is bigger and rotates slower than the quark has less mass. In fact, the electron’s mass is 0.1% of the mass of an atom, which is all stored in the inner faster-rotating smaller quarks and gluons.

While in the cosmological scale, the black hole, which rotates at light speed and occupies the minimal space of all the cosmic bodies, is the most massive form of the Universe. Then it becomes a quark star called a pulsar, which has a center of strange quarks and a surface of dense neutrons. It rotates also very fast, near the speed of light, and it has an enormous mass.

We do not know what the substance of black holes is, but Einstein called them frozen stars and he said that if we were to obey the laws of the scientific method, they had to have a cut-off substance. Then when he died, we found quarks and so it is obvious that black holes, the densest rotating stars of the Universe, should be made of top quarks, the densest top quarks of the quantum world. Since black holes have very similar properties to those of a quark star or pulsar, ultra dense stars with enormous rotational speed, this fact reinforces the thesis that black holes are top stars.

But this fact, which anyone can understand, is ignored by quantum cosmologists because they don’t believe in Einstein; and of course, those who believe in Einstein are merely interested in the use of the more complex mathematical model of gravitation and mass, in which the principle of equivalence of Newton and Einstein is not so clear. The details of the trees prevent them from seeing the big picture of the forest. But here we are concerned with the picture that tells us that quarks are the atoms of the densest black holes and quark stars because only among the known particles, quarks are that heavy, and only among the known celestial bodies, black holes and quark stars are that heavy.

Further on, because dark matter represents 75% of the universe’s mass, very likely, dark matter is made of black holes, pulsars, and other types of quark stars.

Now when you get into details, the word vortex is substituted by spin, the word curved cycle by non-Euclidean geometry, and you use also two different names for the type of forces displayed by quark vortices (strong forces) and by black holes and pulsars (gravitational forces) because we are talking of two fractal scales of reality, the quantum microscopic world and the cosmological world. But those details that we will explain later in depth, unifying both scales, gravitation, and the quantum world with fractal equations (a long goal of Mr. Einstein, which I found thanks to the expansion of the postulates of non-Euclidean geometry that Mr. Einstein lacked) are of no importance to understand in simple mathematics, the meaning of mass:

Max. rotational speed × min. radius= quarks and black holes= the densest masses of the cosmos

Med. rotational speed × med. radius = electrons and stars

0 rotational speed × max. radius = light = 0 mass

It is in those terms how it becomes easy to understand the different masses of different particles and cosmic bodies, related to their angular momentum or spin: the electron which turns slower in a wider circumference is far lighter than the proton that turns faster in a smaller space, which is lighter than the black hole which turns to the limit of speed of our world.

While the mass of light is zero because the electromagnetic wave never closes in to itself, but once it has made half a circumference downward, it switches upward and so it moves as a transversal, lineal wave without mass and maximal, infinite radius: 0 mass × infinite radius = K.

In detail, light has an insignificant bit of mass because due to the rotation of galaxies (Mach principle), it has some curvature and it acquires more mass/frequency when it rotates around a quark or black hole vortex, finally evolving into a more complex form, absorbed by an electron, quark, or black hole.

Now it is easy to understand how mass (rotational motion) becomes energy (lineal movement) and vice versa (E=mc2 and M=E/c2). E=mc2 means just that when energy approaches the c-limit of speed of our space-time, as it cannot go faster, it deflects its energy that curls into cyclical motion into mass. This, of course, is another thing CERN pretends to research with the quark cannon. Because using quantum equations and Higgs particles, there is no way to understand how energy becomes mass and vice versa.

The Universe is simple. So a simpler explanation of reality is more truth, even if it is experimentally less refined in its initial conception. For example, Copernicus was simpler than Ptolemy. Further on, for many years, till Kepler and Newton refined its elliptical orbits into ellipses, Copernicus’s cyclical orbits were less accurate than Ptolemaic calculus, but the principles were sounder: The sun was put in the center and that simplified enormously the model.

So it satisfied better Occam’s principle. That is what the principle of equivalence between acceleration and gravity of Newton and Einstein does with masses: by considering that particles are cyclical, accelerated motions, not substances, this sounder principle simplifies all calculus, explains logically how mass attracts like a hurricane of space-time .


Scales are similar NOT equal.

It is important to notice though that the Universe of 5D planes is fractal, ruled by the 3rd postulate of ®, of similarity not equality, as fractals are not equal in scales, but similar with internal parts that might differ even if the outside form of the point seems equal to an external observer.

Thus self-similarity is not equality, an atom is self-similar to a galaxy but NOT likely a galaxy – reason why for example quantum cosmology, which models galaxies as atoms (albeit without the conceptual 5D understanding) does not give us exact results.

Quantum cosmologists consider by using exactly the same equations (in their ad hoc method with no conceptual reasoning) ‘identical’ the scales of the cosmos and the quantum world, so they use quantum equations for all. This is a hyperbolic error. We have equations for each scale and what we can show, as we did here, is the self-similarities of scales.

All in all, it is evident that what we call a black hole or pulsar is made of quark quanta; it is a fractal of quarks. Thus we can apply to its vortices the laws of Newtonian fluids or the more complex equations of a Non-Euclidean vortices of space-time, as we do with any other ‘medium’ called a ‘phase space’ in physics. They can be considered akin to a hurricane, which is a ‘medium’ of air molecules, or to a tornado, which is a medium of water molecules. All those mediums have limits of speed, which are the same for their lineal forces and cyclical vortices:

Light space-time has a c-speed limit, which is also the limit of speed of a rotational electron vortex and a 0 K limit.

Dark energy and quark matter belonging to the gravitational membrane seems to have a c<10 c lineal and rotational speeds.

Because each space-time membrane has vortices of information and energetic, lineal forces, we need equations of self-similarity, relating informative vortices of charges and masses on one side and gravitational and electromagnetic waves on the other. This is done with gravito-magnetism, which relates cosmic gravitational, lineal waves and electro-magnetic fields. So, the gravito-magnetic formalism just needs to be properly fit within the wider concept of 2 self-similar fractal space-times, to define in self-similar terms, light waves and dark-energy waves of gravitation; as the elementary, actions-units of the 2 fractal scales.

Needless to say if a proton is a black hole of the inferior scale, a black hole is a quark condensate. And measures give us black holes as ‘top quark condensates’.

Needless to say, the philosophical conundrum of the self-similarity of forces and forms on both scales cannot be solved experimentally. If the Universe is self-similar between those 2 scales, but those are the limits of scales of reality, there is nothing below the atom or over the galaxy. If the Universe is infinite in its scales we are nothing to the whole. And yet while the first answer pleases our ‘anthropocentric world view’, the second answer is far more logical and in accordance with the evolution of science and thought.

It would then mean that the Universe is absolutely relative. That is, reality is not only as General Relativity proved, relative in all its motions, which depending on the observer might be seen as motion or as stillness (so Galileo found the Earth moves but we see it still), but it would be also absolutely relative in scales.

Which form together the 5th dimension of the Universe. This fifth dimension in which science has worked since the first telescopes and microscopes opened it to our eyes, however has not been understood in logic terms at all beyond the beginning represented by Einstein, on my view by a lack of philosophical and logical depth in the work of physicists. 

We deal here, when talking of the fifth dimension with a concept that should have been obvious: if physics study in general relativity time as space, in a present slice, the total time includes a flow from past to future, and from the microcosms to the future evolution of more complex structures, from smaller to bigger scales – and those dimensions, the past, already evolved flows of time that created scales from the micro-quantum world to the macro-gravitational world, are the 5th and 6th dimension which physics does not study but must be understood to evolve science.

General relativity studies the ‘present, continuum space-time’ (hence spatializes time to gain precision in the measure by creating a simultaneous frame of reference). And Absolute relativity is the next step expanding the study of time with both, logic and geometric, topological, mathematical non-Euclidean tools.

I recall the only time I could give a conference on that unification at Sonoma’s 50 anniversary of Systems Sciences, in which many top physicists were present.

They were first in awe that such simple equations as a 3 dimensional vortex could unify and extract the never found theoretical result of G and Q (we have only empirical measures), solve the hierarchy problem and further on as I develop a bit more the gravitational ‘jargon’ of charges, prove that the Proton radius was equal to the black hole radius so an atom was self-similar to a galaxy and the scales of the Universe were infinite through the 5th dimension.

Then someone raised his hand and told me what Hilbert told to Einstein when we published special relativity: the mathematics is too simple (Hilbert quipped that they were at the level of an undergraduate), and the enthusiasm waned. Within months NY Times published in its Sunday magazine a cover with my suit to the Nuclear Industry and that killed my career with ad hominem so I loss all my scholar positions and never gave more master conferences…

But that is another story of the limits of ethics in science. What matters here is to realize of the multiplicity aroused by the 4 pillars of all descriptions of reality. And the Occam’s razor: simpler is better.

The strong principle of equivalence:  mass as a vortex of gravitational time.

Mass is the attractive, in/forming force of the Universe; and it is merely the last, accelerated, curved motion of the gravitational force. Einstein explained this with his principle of equivalence between acceleration and mass/gravitation. Initially, due to the ‘mirage’ of materialism, physicists thought the principle only applied to the external, curving vortex of gravitational forces that sunk into the mass. But the mass as a solid substance was never found and all pictures have seen merely vortices of curved motions.

Now we can explain all this and take further, conceptually and mathematically the discoveries of Einstein, thanks to the advances of complexity. In this post we shall deal at the simplest possible level with empirical, theoretical and mathematical demonstrations of those concepts, considering some of the new advances on theory of information and astro-physics, we are making departing from Einstein’s insight.

Einstein’s mass theory 

In Physics, according to Einstein the information of a particle is its mass. This can be easily proved theoretically, mathematically and empirically.

In the previous pictures there is an obvious empirical proof. All pictures of masses and charges appear as vortices with an accelerated inward motion. Let us now deal with the other proofs (and let us remember that truth in epistemology of science is based in 3 pillars – empirical, logical and mathematical proofs.

Einstein’s Conceptual proof.

Now this simple equation is in accordance with Einstein’s Principle of equivalence between acceleration and gravitational force. Both are the same in General Relativity. And so why we should stop this ‘comparison’ at a certain point of the accelerating vortex? Since in the Universe we have never seen ‘substance’ but only motions, it is logic to think that what we call a mass is exactly that: the final region of acceleration into a vortex of gravitational forces. Such vortex obviously offers a resistance to motion (inertial mass), which is dependent of the speed/acceleration of such motion.

Einstein’s Mathematical proof

The mathematical proof is simple, given by the 2 main equations of Einstein, which relate the frequency of information (a time parameter), the mass and the energy of physical systems:

ExT=K, E=Mc2, hence M=K/T=Kv; where v is the frequency of rotation of the vortex of mass.

Thus a mass is a vortex of space-time that carries the information of the Universe in its frequency.

This also has empirical proofs: All vortices attract inwards with a force equivalent to the strength of the rotating vortex. So a hurricane attracts more when it turns faster. And so a mass, which is a hurricane of space-time attracts more the faster it turns. Moreover vortices of all kind are ‘accelerating’ inwards: Vo x Ro = K, which means that the shorter the radius is, Ro, the faster its speed, Vo, so the closer you come to the vortex, the faster it turns, the more it attracts, the stronger its gravitational force is, and the more mass it has.

But what type of accelerated motion?  Well it turns out that there are only two accelerated motions, lineal and cyclical accelerations. Further on, accelerated motions can produce forces that ‘work’. And Newton gave us a simple equation to describe ‘all’ the forces of the Universe: F = M (cyclical acceleration) x A (lineal acceleration). This is fascinating because it means that the Universe is made of 2 accelerated motions: F = M x A, where A is lineal acceleration or ‘energy’ and Mass is a vortex with more dimensional form, or cyclical acceleration, whose form and frequency carry the in-form-ation of the Universe.

Of course when we enter into deeper analysis of the mathematical details, a mass vortex is more complex. Einstein described it with a set of equations that go beyond the scope of this introduction. But there is a different version of those equations much simpler – the gravito-magnetic version, recently proved experimentally by a Probe, which are mimetic from the equations of electromagnetism.

And so since charges are obvious accelerated vortices of electromagnetic forces, it is self-evident that if masses produce a self-similar field system, they will be accelerated vortices of gravitational forces.

As Einstein put it ‘the Universe is simple and not malicious’. And so there you have, the 3 simplest, more important equations of Physics, F=m a, E=Mc2, E=hv and then the more complex, equally essential Maxwell and Einstein’s equations come all together to accept mass as an ‘internal’ property that define mass and hence need no further fields and esoteric particles to be explained.

Some extra-ordinary solutions obtained with Mr. Einstein’s Principle of Strong Equivalence.

So we return to objective science and bring different perspectives to explain basic physical phenomena, and the simpler answers unlike the Germanic view are considered the more harmonic and larger truth: such as why certain particles like a black hole have more mass, while others like a photon have no mass?

It is really because particles are ‘prescient’ and foresee the arrival of a celebrity (they are also conscious) coming to it, distinguishing them? Or something more objective, physical and normal; as the Higgs interpretation for common consume would believe? Not, obvious. The Answer is because its vortex of time is faster.

Of course something more normal when we describe a mass as an accelerated vortex, whose frequency of rotation gives us like in a hurricane its speed and strength and attractive power. Then all the questions still unknown about mass and energy become solved:

– First, why and how energy becomes mass in that equation, E=Mc2. This is simple Energy is lineal acceleration, mass is cyclical acceleration, thus a mere topological change of the form of motion transforms one into the other. The Universe is eternal, made of motions. And so one becomes the other in the c-limit speed of our space-time membrane.

– Then why antiparticles have inverse time coordinates? Self-evident: they are time vortex that turns clock wards.

– Then, why black holes attract so much being so small? Obvious. The event horizon is the c-limit of speed that curves light into mass. So they turn at c-speed, and they are very small. Thus the frequency of its mass-cycle that is proportional to its speed and inverse to its length is the maximal possible in the Universe.

– So why light has no mass? A tautology: Light does not close a cycle, but it is a wave that deflects the cycle into an open wave. Hence it never has mass. But if we were to calculate its mass in terms of energy the higher the frequency of the web (analogous to the mass frequency) the more mass-energy it has.

– Then there is the scalar, fractal structure derived of the homology of the equations of charges and masses, which however exist in two different scales. This is a key discovery for the fractal structure of the Universe and proves one of my fundamental mathematical findings: the unification equation of the G and Ke Universal constants of charges and masses as two vortices of two fractal discontinuous scales of space-time, the quantum, smaller world and cosmic upper scale.

And we will return to that at the end of this article, when considering in depth the consequences of upholding and evolving Einstein’s theory of mass, instead of seeking and absurd scalar particle that explains so little…

– Finally, why the Universe accelerates between galaxies? It is accelerating and will end into pure entropy? No. Self-evident. Physicists ignore the meaning of information and mass and they have a continuous theory of space. None of that works anymore. As each time cycle ‘breaks’ space into an inner and outer region. So do the time cycles of the Universe of which the biggest clock is a galaxy that ‘warps space into time-mass’. So the acceleration of space between galaxies is balanced by its warping within them.

And both balance each other: gravitation informs light-space into mass vortices, galaxies. And then light-space the substance of which our space is made, once it abandons the galaxy, stretches his frequency (Doppler effect as ‘real’) till its ‘generational time cycle’ of around 10 up to 10 years dissolves it back into non-perceivable, lineal, gravitation with no form. But this and so many other fascinating results of a proper theory of time cycles require more knowledge of physics that I expect a non-physicists to have, so we shall end here the simpler version of Einstein’s mass theory.

5D Unification from the perspective of electromagnetism: Heaviside equations.

Following with the concept of an atom-galaxy, albeit slightly different, as all fractal scales have slightly different laws, we come to the opposite view: to describe gravitation with the equations of electromagnetism.

We notice in the graphs of a hydrogen atom and the galaxy, which in Einstein-Walker model of the Universe was in fact modeled as a hydrogen atom, one of the most fascinating proofs of the fractal structure of the Universe in infinite self-similar scales of lineal forces of ‘spatial energy’ and cyclical particles of ‘informative time’ are the recently found ”excited S-orbitals’ of the galaxy: two bubbles of electromagnetic energy, with exactly the same form that the S orbitals of an atom have in its excited states. This fascinating image, beyond a discussion about galaxies as atoms in an infinite eternal fractal Universe, responds to two of the new ‘invariances’ of absolute relativity.

If Einstein showed that all systems are invariant to motions and rotations in space, Absolute relativity adds the invariance of scale (so gravitational and quantum scales are self-similar in properties) and the invariance of form (so its topologies are also the same).

So what the previous image shows is the self-similarity of the quantum, electro-magnetic and cosmological, gravitational membranes of space-time. They are the 2 main fractal scales of space-time of the Universe. In this post on the future of science we introduce the mathematical equation that unifies the constants of both forces, G and Q, complementary to the Gravito-magnetic equations recently proved by Probe A, which express Einstein’s field equations in a format self-similar to that of electromagnetic forces.

Screen Shot 2016-04-05 at 23.44.36

According to general relativity, the gravitational field produced by a rotating object (or any rotating mass–energy) can, in a particular limiting case, be described by equations that have the same form as in classical electromagnetism. Starting from the basic equation of general relativity, the Einstein field equation, and assuming a weak gravitational field or reasonably flat space-time, the gravitational analogs to Maxwell’s equations for electromagnetism, called the “GEM equations”, can be derived. GEM equations compared to Maxwell’s equations in SI units are:

In the graph Gravito electromagnetism, abbreviated GEM, refers to a set of formal analogies between the equations for electromagnetism and relativistic gravitation; specifically: between Maxwell’s field equations and an approximation, valid under certain conditions, to the Einstein field equations for general relativity. The most common version of GEM is valid only far from isolated sources, and for slowly moving test particles.

The analogy and equations were first published in 1893, before general relativity, by Oliver Heaviside as a separate theory expanding Newton’s law, differing essentially only by some small factors.

Lorentz force

For a test particle whose mass m is “small”, in a stationary system, the net (Lorentz) force acting on it due to a GEM field is described by the GEM analog to the Lorentz force equation. Where:

  • m is the mass of the test particle;
  • q is the electric charge of the test particle;
  • v is the velocity of the test particle.

The acceleration of any inertial test particle is simply the same (above graph), changing the ‘names’ of the lineal and cyclical motions.

The discrepancy in the factors arises because the source of the gravitational field is the second order stress–energy tensor, as opposed to the source of the electromagnetic field being the first order four-current tensor. This difference becomes clearer when one compares non-invariance of relativistic mass to electric charge invariance. This can be traced back to the spin-2 character of the gravitational field, in contrast to the electromagnetism being a spin-1 field.

We shall see along these articles specially on the 4th line the enormous importance that the concept of spin has for the structure of the Universe; as it is the minimal unit of information and perception of reality. And the first step in the construction of all forms of information, perception and reproduction of reality, and the emergence of new forms of ‘social organization’ that ultimately emerge as new planes of existence of physical systems.

In Planck units

From comparison of GEM equations and Maxwell’s equations it is obvious that −1/(4π G) is the gravitational analog of vacuum permittivity, ε0. Adopting Planck units normalizes G, c and 1/(4π ε0) to 1, thereby eliminating these constants from both sets of equations. The two sets of equations then become identical but for the minus sign preceding 4π in the GEM equations.

These minus signs stem from an essential difference between gravity and electromagnetism: electrostatic charges of identical sign repel each other, while masses attract each other.

Hence the GEM equations are simply Maxwell’s equations with mass (or mass density) substituting for charge (or charge density), and −G replacing the Coulomb force constant 1/(4π ε0).

The following table summarizes the results thus far:

4π appears in both the GEM and Maxwell equations, because Planck units normalize G and 1/(4πε0) to 1, and not 4πG and 1/ε0.

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In the graph, we can see the main difference between the gravito-magnetic field and the electromagnetic-field, which in terms of ‘spin orientation’, could be resumed in the concept that gravito-magnetism is the ‘anti-particle’ of electromagnetism as both are inverted in the direction of the angular momentum and the magnetic field.

Now it is important to observe a fundamental law of 5 D Physics: between planes of the 5th dimension

Yet since spin and magnetism are also inverted (left handed/right handed), the series of ‘growing cyclical vortices’ which ‘feed into each other’ as they emerge into larger configurations, as in the case of lineal momentum, in which each new ‘flow of lineal motion’ has the inverse direction of the previous ones (so the couple of neutrinos that give birth to photons in the neutrino theory of light, have longitudinal polarization, and the photon, transversal polarization, going in opposite directions, and then the electron, which feeds on electromagnetic fields have inverse direction and the electric current that is born of the electron displacement is also inverse in direction).

All in all physical systems in their directions of emergence as social wholes sustained by the energy and form of the lower scale follow a FUNDAMENTAL law of 5D metric:

|∆-1 ∧ O∆ ∧ | ∆+1

Which means that as we grow in scale the functions and forms of the points become inverted.

This approximate reformulation of gravitation as described by general relativity in the weak field limit makes an apparent field appear in a frame of reference different from that of a freely moving inertial body. This apparent field may be described by two components that act respectively like the electric and magnetic fields of electromagnetism, and by analogy these are called the gravito-electric and Gravitomagnetic fields, since these arise in the same way around a mass that a moving electric charge is the source of electric and magnetic fields.

The main consequence of the Gravitomagnetic field, or velocity-dependent acceleration, is that a moving object near a rotating massive object will experience acceleration not predicted by a purely Newtonian (gravitoelectric) gravity field. More subtle predictions, such as induced rotation of a falling object and precession of a spinning object are among the last basic predictions of general relativity to be directly tested.

Indirect validations of gravitomagnetic effects have been derived from analyses of relativistic jets.

Roger Penrose had proposed a frame dragging mechanism for extracting energy and momentum from rotating black holes. Relativistic jets can serve as the largest and brightest form of validations for gravitomagnetism.

Some higher-order gravitomagnetic effects can reproduce effects reminiscent of the interactions of more conventional polarized charges. For instance, if two wheels are spun on a common axis, the mutual gravitational attraction between the two wheels will be greater if they spin in opposite directions than in the same direction. This can be expressed as an attractive or repulsive gravitomagnetic component.


The parallelism between the equations of electromagnetism and Gravitation were discovered by that forgotten Genius, Heaviside, even before Einstein discovered his. Then it was found that Heaviside and Einstein’s equation were self-similar in a gravitational field on flat space-time, which is more or less all the space-time of the Universe except the ‘peaks’ of height that black holes form.

Recently Probe B proved that gravito-magnetism (the equivalent to magnetism in the gravitational cosmological scale) exists. So the equations were right. And yet, this ‘new generation’ of mechanical physicists keep ignoring the implications of this and many self-similar discoveries that back Heaviside vision and the fractal nature of the Universe.

Let us then take further their work using that self-similarity to its ultimate consequences, considering the Q-constant just self-similar to the gravitational constant and finding what are the parallel particles of both scales.

Physical Reality is made of dual energetic/informative states (complementarity principle particle-wave): Cyclic vortices/ particles develop lineal actions-waves in 2 scales, the microscopic quantum world of Electromagnetism and the macroscopic, gravitational world. Once the duality of scales and forms is understood, we unify the constants of dimensional proportionality of both types of vortices and forces, studying transversal waves of ‘lineal speed’ in both scales of the fractal universe: the c-speed of small electromagnetic waves, and we contend, the superluminal ‘action at distance’ of gravitational waves.

Let us then briefly consider the 10 isomorphisms of each of the scales of the Universe.

Because of the symmetry just mentioned and to keep the usual classification of systems in physical, biological and social systems, we shall modify slightly the order of the line, studying first

  • the physical systems on the limits of human scale perception: ∆+4 cosmos, ∆+3 galaxies, ∆+2 Stars & then move to its physical symmetries in the lower dimensions ∆- 4: quarks, ∆- 3: electrons and ∆- 2 atoms , ∆-1: molecules; following then and its three ages:upwards the natural order through biological and social systems till the planet earth
  • Biological systems: ∆º cells, ∆1, life, matter, and….

Human Systems: ∆1: man to end with the three temporal ages of the earth as an ecosystem, social system and economic ecosystem: ∆2 gaia, history, economic ecosystems:





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In the graph, the information and entropy limits of the human visible scales beyond which we find, the unobserved, Spe>c, Ti <0k, ∆+4, cosmos and its mirror symmetry of ∆-4, quarks:

The isomorphisms of the cosmos suffice to explain its structure:

‘cosmos is an organism with a body called the Universe, and a mind called Logos’ Plato

In this post we introduce the main super organism of the Universe, the galaxy, which acts as an atom-cell of larger scales of which information is scanty beyond ‘pretentious’, absolute theories of continuous single space-time, such as the big-bang and 4D metric, ill-understood in its generality.

What we see as limits of our stientific perception, beyond which space-time information is scanty is the atom in the lower scale and the galaxy in the upper scale. Both can be generated by the same Unification equation of masses and charges, but the most organic vision is that of the galaxy as a cell.

Epistemology in the fractal universe precludes that each perceiver fractal point of view will have a knowledge of another sector of the fractal reality wit a detail and bias and ‘screening’ that will make many descriptions of seemingly very different beings seem parallel and so we can establish from our point of view a clear parallel between galaxies described as cells and described as atoms, the 2 other great systems we perceive in the quantum and life-thermoydnamic scales.

In the graph, homologies of perception and knowledge of any  part of the fractal super organism has to take into account the relative construction by a mind-point of view with the information screened by its senses of other section of the reality, separated from it by certain distance in time-cycles speeds, certain dark space, not seen through the senses of the being, and some deformations in the arrow of information that flows easier from lower scales and energy-motion which flows better from higher scales.

As a result it is possible to postulate a theory of epistemology based in the absolute relativity of all points of view, which would from its own perceptive frame of reference deform its vision of other super organisms in similar fashion so a human sees similar functions and forms in galaxies, cells and factories. How many of such different mental assemblies of the elements of a system exist to give us a view of the whole and its parts in an organic way? We do not know but a very stable, hence we presume common ‘projection of being’ is that of an organic cell-factory or galaxy dedicated to reproduce and evolve systems of information (machines, carbohydrates, forms of matter). Such unit, the galaxy is therefore the ‘cellular element’ of the Universe, and the focus of astro-physics, on the 3rd scale above that of the human being, beyond its social super organisms, and its solar systems (∆+1, ∆+2) and at a similar mathematical distance, on the low scales to that of the atom, which will show in a series of Unification equations of its space-time, mathematical parameters.

Its symmetry in space. The geometry of the 5D planes of the Universe.

Cosmology deals with the Entire Universe, taken in present models of reality as the absolute Whole, as they consider reality co-exists in a single, continuous plane of space-time. This is not the overwhelming truth shown by T.Œ

Plainly speaking the structure of the Universe is ‘pyramidal’, with parts that ‘emerge’ as wholes, by ‘co-existing’ in different scales, which in physical systems are the quantum-atomic, thermodynamic-material and cosmological scales. This means in geometrical terms, and terms of motion and form (which in physics are concepts known as kinetic energy and its derivative lineal momentum and potential energy, and angular momentum – related but not so clearly and in T.Œ have the general form of Sp- bidimensional spatial energy and Tƒ or Tƒ, Temporal clocks of information) that there are different behaviors either if we:

– Stay in a single plane, seen as Euclidean where motion and form are conserved when an entity interacts within a single plane.

– Move through planes from parts into wholes, growing in size or sending energy and information to a larger whole vs. moving from wholes into parts or sending Sp & Tƒ from wholes into parts. This is ruled by the metric of the 5th dimension, which in its simplest ‘lineal form’ write as Sp x Tƒ = K.

Now because motion moves downwards with no friction, so you move your hand and all its cells move synchronically but do not move upwards with the same fluidity (so there is entropy) and vice versa, information, form can be replicated upwards with no loss, so cells replicate genetically and small forms grow in size almost with no changes, but things do ‘NOT shrink’ easily and there is no Lamarckian evolution, this means the perception of systems ‘above’ as wholes is different from the perception of systems ‘below’ as parts.

All in all the smaller worlds seem to have more information, form, mass, charge, and hence more ‘energy’ in the conceptualization of physics, from our perspective and so they grow in detail and occupy a larger space when we observe it. While the upper world thins out in energy and form. Only the present world of our size and form remains constant.

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We can see this from an organic perspective as a trophic pyramid: the smaller parts sustain the larger parts, which therefore thin out in energy density, and informative speed. If we look at those changes from a geometric point of view ∆+1 elliptic and ∆o hyperbolic realities different from our, ∆-1 perspective of our Euclidean Universe:

In the graph, the human observer in his own plane sees an Euclidean image of the Universe.

Now why it is our scale Euclidean? If we consider it in terms of the structure of our underlying space-time, it is made of light, and so as we see the motions of light as fixed dimensions of space, So our eyes sees 3 perpendicular light space coordinates:

This is the definition of Euclidean space: Light space.

We thus will observe 3 type of geometries, according to our ‘angle’ of 5D motion and its simple metric: Sp x Tƒ = K:

In a single plane of mechanical and Thermodynamic forms, we shall observe lineal Euclidean geometries transmitted by the 3 perpendicular dimensions of light space, as neither Sp or Tƒ suffers any deformation. Man perceives light at constant speed without a real change in its time= frequency, and space=speed parameters from the point of emission (particle in relative stop (and motion) relationship with the observer).

  • Both remain constant, so we observe a holographic Universe, where Sp= K/Tƒ define according to both parameters most equations of Mechanics and Thermodynamics. For example: Sp (volume) = K/Tƒ (pressure) is the equation of the commonest gas space around us (atmosphere).
  • In the upper gravitational space-time, as ‘space enlarges’ while ‘time slows down’ it appears a Riemannian, elliptic geometry one of the non-Euclidean geometries that completely rejects the validity of Euclid’s fifth postulate and modifies his second postulate. Simply stated, Euclid’s fifth postulate is: through a point not on a given line there is only one line parallel to the given line. In Riemannian geometry, there are no lines parallel to the given line because space enlarges, thus from our smaller perspective we see those lines diverging, and time slows down. And those are the exact effects defined in General relativity.
  • On the other hand the lower quantum scales will appear from our perspective made of point-particles, and those point-particles will appear to be crossed from our larger perspective by multiple parallels. So the charges and particles of quantum physics will show the inverse hyperbolic geometry, crossed by multiple parallels.



Experimental Proof of the Fractal Structure of the Universe.

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In the graph, several experimental proofs of the fractal 5D organic structure of all beings of reality:

On the left, we can see the growth of a ‘new dimension of temporal height’, in the process of accumulation of bosons. In the centre above, the Sloan fractal map of galaxies. Below the comparison of our region of the Universe with a neuronal cell; on the right, an ice fractal, a plant and a river and a lung.

The upper astronomical scales of physical systems, ∆+1, are in double symmetry with the lower quantum scales in ∆-1, when considering man at the ∆o relative center of both; as we observe that the co-inverse metric equations of fast, small atoms and large, slow galaxies give the same constant value, origin of the Unification equation of masses and charges.
On the other hand they show equal topology in ST, with its halo, likely of negative strangelets, black hole center of positive black holes modelled as top quark stars, and intermediate region of electromagnetic star nebulae.
THUS we can unify them through the concept of fractal scales with different space-time curvature and time speed such as:
∆-2: atom ≈ ∆+3: galaxy.
 Both scales will follow then the general laws of 5D Metric space-time isomorphic beings.

For tat reason the reader is advised to consult first the most general post on 5D and Philosophy of Science, whose aim is to unify all sciences, and the general one on physical systems, ∆±i: Astrœphysical systems, before reading this post on Astronomy.

In case the reader goes forward, we introduce the absolute bare bone concepts of the organic, 5D fractal structure of reality, which are its 3 arrows of time and symmetries with the 3 space organs of al fractal systems of he Universe, and the Principle of relativity between motion and stillness.

In the previous graph we show some experimental proofs of the fractal structure of space-time in all the relative ‘scales of size’ and ‘time speeds’ (5D scales) of the Universe.

Each photograph is a fractal structure, taken from different sciences that study different entities of nature since each part of the Universe has a fractal structure, and so does the Universe at large, made of all those fractal parts.

In March 2007, after Pietronero, an Italian astrophysicist, showed the fractal nature of the Universe, tabulating an enormous number of galaxies, whose distribution was fractal, the magazine New Scientist published an article on the theme, confronting Mr. Pietronero and Mr. Hogg, a quantum physicist from the previous outdated probabilistic, mechanist, quantum paradigm:

“The universe is not a fractal,” Hogg insists, “and if it were a fractal, it would create many more problems than we currently have.” A universe patterned by fractals would throw all of cosmology out the window. The big bang would be tossed first, and the expansion of the universe following closely behind.

Hoggs’s team feels that until there’s a theory to explain why the galaxy clustering is fractal, there’s no point in taking it seriously. “My view is that there’s no reason to even contemplate a fractal structure for the universe until there is a physical fractal model,” says Hogg. “Until there’s an inhomogeneous fractal model to test, it’s like tilting at windmills.”

Pietronero is equally insistent. “This is fact,” he says. “It’s not a theory.” He says he is interested only in what he sees in the data and argues that the galaxies are fractal regardless of whether someone can explain why.

As it turns out, there is a model that may be able to explain a fractal universe. The work of a little-known French astrophysicist named Laurent Nottale, the theory is called scale relativity. According to Nottale, the distribution of matter in the universe is fractal because space-time itself is fractal. It is a theory on the fringe, but if the universe does turn out to be fractal, more people might sit up and take notice.

A resolution to the fractal debate will only come with more data. Sloan is currently charting more galaxies and will release a new map in the middle of 2008.

Of course, the Sloan 2008 showed the Universe is a fractal.

This should have been big news all over the world. But that means, as Hogg recognizes, that we have to throw to the trash the big bang and the expansion of the Universe, accept the fractal informative structure of reality, and close down some big projects of science, such as the large hadron collider, which will merely cause a planetary big bang, very different from a hypothetical birth of the entire Universe (impossible in a Fractal Paradigm, which at best would consider a ‘larger’ scale above galaxies).

So how can we reconcile the fractal structure of the Universe – a massive evident fact of science, in the whole and all its parts – and the knowledge that space expands between galaxies, accelerating its motion, in a fashion similar to the entropic expansion of a gas, in the molecular scale?

Logic Consistency: The Infinite, Hierarchical Universe

A good description of the fractal universe and its logic principles is this text from the Web by Mr. Oldershaw from Amherst University:

“With regard to cosmology, we live at a very privileged time. When we read about exciting and revolutionary paradigm changes, in which our most fundamental ideas about nature undergo radical revisions, the drama usually has taken place well before we were born. Today, however, we have the rare opportunity of witnessing at first hand a profound transformation in our understanding of how the Universe is structured. This ongoing change of cosmological paradigms from a “small” finite cosmos to an infinite fractal cosmos began about two decades ago and is in full swing at present. The short version of what is happening goes like this. For about 50 years the Big Bang model of the Universe has provided an excellent explanation for the basic cosmological observations: a very large-scale expansion, an approximately uniform background of microwave radiation and a unique set of abundances for the atomic elements. However, there were some technical problems with this model, such as an a causal beginning of space-time, a lack of magnetic monopoles, an unexpectedly high degree of uniformity, and an enigmatic knife-edge balance between the open and closed states.

Then in the early 1980s Alan Guth4 showed how these and other problems with the Big Bang model could be solved in one fell swoop with the Inflationary Scenario. But, an ironic thing has happened. Although the Inflationary Scenario was developed to rescue the Big Bang model, the most logical consequence of pursuing the concept of Inflation is the replacement the Big Bang paradigm with a much grander and more encompassing paradigm. According to Guth and a growing number of leading cosmologists, the most natural version of Inflation theory is Eternal Inflation in which Inflation is, was and always will be occurring on an infinite number of size scales. The new paradigm that cosmologists have arrived at by several routes is an infinite fractal hierarchy that has “universes” within “universes” without end. The astronomer Carl Sagan once referred to the general idea of an infinite fractal universe as “strange, haunting, evocative—one of the most exquisite conjectures in science or religion.”

That is the basic story, but because of the profound changes the fractal paradigm will have on our understanding of the Universe and the place of humans within that Universe, it is important to explore the implications of this new vision. Firstly, there is no edge or boundary of the Universe; space is infinite in all directions. What we used to refer to as “The Universe” can be more appropriately called the “observable universe” (note the small “u”) or the “Hubble Volume,” and it is only a tiny part of what one might call our “metagalaxy” or “level 1 universe”. We currently have no way of determining the size of our metagalaxy or the number of galaxies it contains, but we could reasonably assume that both figures would be vastly beyond anything previously contemplated.

There would be an infinite number of these level 1 universes, and on an unimaginably large scale they too would be organized into level 2 universes, and so on without limit.

Secondly, time is also infinite in the unbounded Organic universe. Whereas our Hubble Volume may have come into being and began to expand approximately 13.7 billion years ago, the Universe has always existed and always will. Parts of the Universe may be created or annihilated, may undergo expansion or contraction, but the infinite fractal hierarchy remains unchanged overall, and thus is without any temporal limits.

Thirdly, there is no limit to size scales. In the infinite fractal paradigm there is no class of largest objects that would cap off the cosmological hierarchy; the hierarchy is infinite in scale.

This fact removes one of the more suspect aspects of the old paradigm. Natural philosophers had long noted the unusual fact that within the Big Bang paradigm humans found themselves roughly in the middle of nature’s hierarchy of size scales. This anthropocentric state of affairs seemed to violate the Copernican concept that when humans appear to be at the center of the cosmos, we should suspect that a bias is leading us astray. In an infinite fractal hierarchy there is no center of the Universe, nor any preferred reference frame.

Some interesting questions immediately arise. Why are fractal hierarchies so ubiquitous in nature? By studying empirical phenomena within the observable universe, how much will we be able to learn scientifically about the parts of the Universe that lie beyond our observational limits? Does the infinite cosmological hierarchy have a bottom-most scale of sub-atomic particles as is currently thought, or is this another artificial limit to an infinite Organic universe that actually extends without limits to ever smaller scales?

Centuries ago Immanuel Kant, J.H. Lambert and a few others proposed an infinite hierarchical model of nature based largely on natural philosophy arguments. This general hierarchical paradigm never garnered a large following, but it was kept alive by numerous rediscoveries. In the 1800s and 1900s quite a few scientists, including E.E. Fournier d’Albe, F. Selety, C.V.L. Charlier and G. de Vaucouleurs, argued for hierarchical cosmological models based on the hierarchical organization within the observable universe. Then toward the end of the 1970s, the mathematician B. B. Mandelbrot5 gave the hierarchical paradigm new life and widespread exposure by developing the mathematics of fractal geometry and demonstrating that fractal phenomena based on hierarchical self-similarity are ubiquitous in nature. In this way natural philosophers, empirical scientists, mathematicians and theoretical physicists have all found their way, slowly but surely, to the infinite fractal paradigm. There are many routes to this paradigm, and certainly there are a large number of distinct versions of the basic paradigm that have their own unique theoretical explanations for why nature is organized in this manner, but the general paradigm that nature is an infinite hierarchy of worlds within worlds has fully arrived, and will probably be our dominant cosmological paradigm for the foreseeable future.”

But what does it mean that the Universe is organized in fractal patterns of form? To fully grasp this concept, we have to realize that “fractal equations” are “organic equations,” which participate of the properties of organisms. Fractal equations create forms as life does. Fractal equations create self-similar “cells,” as life does. And in fact, they use the same term. Fractal equations are also called generator equations, as they are the mother cells that encode the information needed to repeat a living form. Finally a fractal equation will create a pattern of interconnected parts, which put together reproduce a whole, self-similar to their parts, as organisms do.

The only thing a fractal equation does not have is motion, as it is a simplified geometrical description of reality. So in the same manner, geometry lacks motion; simplified fractal equations didn’t have motion when they were first discovered.

But now, fractal science has advanced a step further, thanks to the evolution of fractal logic, duality, and non-Euclidean geometries, so we can understand finally the meaning of motion in the Universe.

Let us then explain the logic and mathematical principles of the fractal paradigm, starting for what fractal relativists mean when they say that the Universe is built in fractal scales made of pieces of vital space and informative time. To that aim, we apply to the understanding of masses of physical information and black holes and pulsars, which are fractals, made of quarks.

The 3 properties of fractal space: discontinuous, bidimensional, scalar structure.

Very simple: in the fractal paradigm, space is discontinuous, made of fractal non-Euclidean points, joined into bidimensional networks, through flows of expansive kinetic energy and contracting cyclical information; which grow in size and scale when we come closer to them (so points become galaxies, whose fractal points become stars, whose Non-E points become planets, whose fractal points become humans, whose Non-E points become cells, whose fractal points become atoms and so on).

So we just need to apply the ‘so obvious’ fractal, Non-Euclidean structure of reality to describe the Universe, and ‘voila!’, magic – every question is resolved, every experimental evidence fits in place. And all the whys are revealed.

Discontinuous space.

The big bang theory is based in the concept of an expansive space, merely one of the 3 possible solutions to Einstein’s field equations, which must be accepted only on that region and scale of the Universe in which space truly expands, which happens to be the interstellar space between galaxies.

But within galaxies the non-lineal, cyclical, inverse arrow of temporal information, that is the accelerated gravitational vortices of the black holes, which suck in electromagnetic entropy, converted into gravitational information, that is implode space into mass;

Thus the expansion of space between galaxies is perfectly balanced by the implosion of space curved into time vortices of mass by the galaxies. 

They balance the expansive motion of interstellar space, defining an dynamic Universe in which each scale of the fractal is in balance between its ‘expansive, entropic arrow of space and kinetic energy or lineal momentum’; (ab. Spe), and its ‘implosive, informative arrow of accelerated Cyclical Time clocks, (ab. Tiƒ):

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In the graph, the fractal paradigm postulates a Universe of infinite scales of sizes with relative big-bangs, which are the death of implosive Mass converted back and forth into entropic motion, according to Einstein’s equation: E<=>Mc², which actually has 2 arrows of time, and was in fact first described as M=E/c², that is as a process to create mass from energy.
And the result is an immortal wobbling
 spring like Universe, where according to Einstein’s equation: E=M(c2), entropy reigns in the electromagnetic forces and light transiting between galaxies, expanding its space-time. But then it collapses within galaxies, creating with gravitational forces, in-form-ation. And this arrow of form and life is more important. Since we humans live in one of those vortices of time collapsing into mass, called the milky way, in one of its cyclical, turning planets that evolves information, through the processes of life and technology and human languages of thought. SO IT MATTERS MORE to understand mass and life than entropy and vacuum expansive space. The next graph shows schematically one of those galaxies wobbling.

Thus both arrows balance each other and the Universe has at least 2 arrows of time, ‘Spe’ or spatial entropy, and Tƒ(m), Cyclical vortices of mass, which we can measure by the angular frequency or clock-speed of the vortex. Since indeed, E=Mc², the fundamental equation of Special relativity and E=hƒ, the fundamental equation of quantum physics, can be joined together Mc²=hƒ, whereas M= h/c² ƒ.

In the graph, the evolution of the concept of mass in relativity, from the initial image of an abstract substance in the center of an accelerated vortex of space-time, proper of the abstract, pre–world war age, when Einstein first published his work on gravitation, to the first pictures obtained in bubble chambers in the postwar age, to the realization that each mass is a fractal space-time made of smaller cyclic motions proper of twenty-first century Fractal relativity.

The smaller motions are quarks, the bigger motions are quark stars, pulsars, and black holes. Today we can model any type of vortex of space-time with fractal mathematics, as each small vortex transfers the momentum to the bigger vortex, which emerges as a macroscopic entity. Thus, we conclude that a black hole is a fractal concentration of the densest matter of the Universe, quarks, since quarks represent on average more than 99.9% of the matter of our bodies. Those improvements on the details of mass theory, based on the advancement of its mathematical tools (discovery of fractals, chaos theory, and the five postulates of non-Euclidean geometry) is the natural way in which the evolution of science happens, departing from sound logic principles.

Thus mass is proportional to a constant (h/c²) multiplied by a variable frequency and its attractive power is proportional to the speed of the vortex as a hurricane (an air vortex) or a tornado (a water vortex).  

We can therefore write a Fractal ‘Generator Equation’ of the lineal entropic space and cyclical time vortices of the cosmos:, Sp(e) <=>Tƒ(m).

Now what the ‘big-bang entropy theory’ does is simply to eliminate completely the ‘mass-arrow-factor’; the time arrow of life in physics, the creation of matter, the dictum of einstein: ‘time curves space into mass’. And the informative nature of gravitation. And then indeed only entropic expansion of space between galaxy and its simple lineal equation that explains it ‘all’ matters. And of course, this feeds the ego of the astronomer as the new high priest of a new religion that knows it all and reduces it all to a size man can handle and ‘talk to’.

The religion of the big-bang vs. a sound dual theory of entropy and information.

The big bang alibi connects CERN with the ‘theoretical religion’ of physicists, quite similar to that of Abrahamic religions, in which an infinitesimal human being ‘believed’ to understand the meaning of it all, because God, the mind of the Universe reduced itself in the big bang to another infinitesimal point, easy to handle by the arrogant ego-centered bronze age peasant, which became the ‘only’ human to understand it all or the modern physicist who pretends a ‘simple lineal equation’ called the Hubble constant, V = Ho D, resumes it All.

So the religious priest will tell you ‘GOD’ explains it all, just 3 letters, 4 in the Jewish Tetragramaton, Yhwh, 5 in Allah. And there is no need for anything else. Alas from GoD to V≈hoD, from Abrahamic cults to big-bang cults 2 letters have changed to remain the same.

This is the essence of the absurd theory of the big bang, according to which V=hod, in this case not the mind but the entire Universe reduced itself to an infinitesimal point which was the ‘beginning of time and space’ that only physicists (and creationist, biblical priests that sponsor the concept – in fact ‘discovered’ by a catholic priest, Mr. Lemaitre), the high popes of science understand with an arcane ‘latin language’ called mathematics.

In reality that equation is so simple that one cannot avoid a smile, when people tells you Physicists are the absolute geniuses of mankind. It merely means that galaxies are separating because the light, an entropic, lineal, expansive force between them, elongates its wave as it moves. The meaning of it all – nuclear physicists have extracted it from that single fact – light elongates as an entropic force between galaxies:

How they got from this simple fact to resolve the birth of the Universe? Simple: they just move backwards this light expansion, and concluded that as light expands between galaxies, if we run it backwards it must have imploded into a single point, the ‘origin of it all’ which their Vhod describes as the graph shows.

Never mind light NOT only expands when free but it contracts within galaxies by the force of gravitation, balancing thus, the expansive E=mc2 death of mass into radiation, with the implosive, M=E/c2 informative implosion of light into mass particles and galaxies, making reality a wobbling balanced immortal infinity of dying mass and imploding light. Indeed, if you run backward the equation of light expansion, you just will get back to the atom of the galaxy that emitted that ray of light – AS ALL EQUATIONS ARE FINITE and happen only as long as the phenomenon they describe exists – in this case the ray of light that expands does NOT go back into an infinitesimal point because all LIGHT is produced by particles according to the E=mc2 equation. 

Yet the big-bang dogma merely rejects to put the most famous equation of physics, E=mc2 at work, as the abrahamic cult denies any other ‘letters’ to God. It is only God, or Yhwh or Allah (even if actually the 3 religions says it is the same God). In physics it is only Vhod not E=mc2, what matters. You just vehemently deny the other ‘letters’ matter at all to create matter (play with words, as it is all just funny egos jumping me, i and myself only, if it had not so ugly collateral effects).

Thus the big bang is just a theory based in the wordily profession of nuclear physicists (make atomic bombs). So disregarding the arrow of information and life, which is the creative force of the Universe, physicists pretend to interpret reality only with the arrow of destruction and death, they call ‘entropy’, and merely moved backwards in time a lineal, simple equation of entropy, to pretend it moved backwards till this supposed explosion collapsed into a tractable infinitesimal point, much more smaller than the human ego. The parallels between those 2 supreme ‘theories of the subjective ego’ are multiple.

The peasant Meshu thought God was the bush their goats munched because that was his professional ‘food’. And he denied therefore the immanent sacred nature of all what exists, made of the same ‘plenum substance’, impersonal space and time. God was in his bush. The arawak who ate turtles thought God was a huge turtle over which the Earth floated.

The nuclear industry which makes nuclear bombs designed a theory of the Universe, in which only its ‘entropic process’ of explosive death accounted for the creation of the entire Universe. So of course, the people who hold the alternative sound-sound theory, called the steady state Universe, from Einstein to Hoyle, who affirmed ad maximal there would be a quasar big-bang, observed experimentally balanced by the creation of mass, laughed at them and called its theory the ‘big-bang’, arguing their makers were either ‘creationist priests’ (Lemaitre) or people working in the nuclear industry (Gamow). It was then business as usual: ad hominem attacks on Einstein and Hoyle, the P.r.ess heralding Gamow as a genius, since it backed the nuclear weapons industry and justified experiments and industries that researched them.

Yet for the big bang to work, they needed to DENY all other causes of the process of DUAL informative creation of mass and entropic destruction of mass into radiation. This of course created the paradox that physicists used e=mc2 to explode bombs but deny their equation to uphold ‘Vhod’.

At this point things became a little surrealist: physicists changed the name of the arrow of information and life and called it ‘negantropy’, the negation of death, as if negating death was a ‘sin’ and information and life was irrelevant, something Vhod could dispose of.

They also denied the most important in-formative force of the Universe, gravitation, which ‘forms’ the mass of galaxies, as time goes by. So Einstein, the only sound mind, who merely did ‘thought experiments’ said that ‘time curves space into mass’.


Now, the ‘steady state theory’ of the Universe has always come to this simple realisation: the creation of mass eliminates the need for a singularity. There are a few different versions and duality merely makes them even more sound. The best elaboration of this steady state dual expansive-implosive Universe, departing from earlier work by Einstein and Fred Hoyle, is the concept of a series of local big-bangs, called quasars, proved recently by the 20 billion years tabulated cycle of galaxies.

Further on the cycles is reinforced by the fact that big-bang radiation is measured locally, as Penzias and Wilson were indeed measuring the background radiation of the galaxy,  a fact recently rediscovered by the observance of 2 ‘electromagnetic lobes’ on the galaxy, which are exactly the same found in the supposed mapping of the whole Universe:

4 big bangs detail

Below we observe the ‘supposed ‘lobes’ of the cosmos, which turn out to be exactly the 2 lobes of our galaxy, recently discovered, and the fact that from quantum atoms to galaxies, there are E=Mc2 double big-bangs from beta decay to novas of stars and planets to galaxies.

So what is the origin of the ‘back ground radiation’? Unfortunately another clear proof that the galaxy is teaming with strangelets and black holes. Since the background radiation can only be produced today by a black hole or dark matter strangelet gravitationally redshifting light as it passes through the halo:

And so a huge proof of the Fermi Paradox comes through Einstein’s gravitational redshift: a black hole or strangelet which has eaten the mass of a moon, the most abundant planetary size of the galaxy, will produce exactly redshifted background black body radiation at 2.7 k,

So the SUPPOSED absolute proof of a cosmic big-bang IS in fact without ‘extrapolations into an infinitesimal past point’ perfectly explained now IF the light matter of the galaxy ‘feeds’ the dark matter of the halo, which WILL thereafter redshift constantly gravitationally (another Einstein effect) light all over the galaxy and light coming inside the galaxy at 2.7 K.

Again in Epistemology WHEN 2 POSSIBLE CAUSES OF A phenomena happen, the sound SOUND ONE, is the cause that happens NOW. It is like if you try to explain your 37 degrees of body temperature and you have a doctor that tells you the NOW-now cause – the activity of your cells at 37 degrees, as the activity of dark matter of moon masses (called MACHOs) today at 2.7 K. Obviously this is a sound theory

Now imagine a ‘guru’ that comes and tells you, your 37º temperature is in fact caused by the ‘cooling’ of your temperature at the moment of your birth which was then ‘3 trillion degrees’, and I have a lineal equation that proves you have been getting colder till now, exactly at the required speed to get now 37 degrees. You will think he is cuckoo because he NEVER measured your temperature in the past, so he is making a non-scientific extrapolation. Well THIS IS EXACTLY WHAT Gamow did. He came to the conclusion that the Universe had cooled down from the singularity of trillions of degrees to the almost ‘absolute zero’ of 20 degrees… Wait, but it is not 2.7 K background radiation?

Yes, he FAILED COMPLETELY TO FORECAST it. But WHEN Penzias measured the then called ‘galaxy temperature’ at 2.7 K, GAMOW simply a posteriori changed his lineal equation to meet 2.7 k now, and then a flurry of ‘egolatric’ scientists decided it was NOT local but cosmic radiation. Because that kept them as ‘the new high popes of creationism’ and the meaning of it all. AND AGAINST RELIGIONS SCIENTISTS CANNOT REASON.

But as an image is worth more than a thousand words, we have just showed you the 3 most recent, visual proofs that the background radiation is local, galactic, and if there was in the past a ‘big-bang’ was just the quasar cycle of our galaxy.

So as always times proves the sound, humble, rational scientists right. In this case Einstein’s steady state solution, which Fred Hoyle developed in a huge mathematical effort just before dying in his theory of multiple quasar big-bangs, which the cycle of galaxies found by the French astronomers further proved and my calculus of Moon MACHOs radiation, which any student of physics can easily corroborate properly explains.

All those galaxies prove indeed, with its longer 20 billion cycle, which goes beyond the supposed age of the big-bang its falsehood. As many of the recently discovered astronomical phenomena in far away galaxies show. Since we are finding formed galaxies, formed giant black holes, formed II generation stars and star dust, which could not have been born before the big-bang. So do those supposed ‘lobes’ of the cosmic big-bang, which Smolin a famed physicist wanted to use to prove his theory that high frequency light goes faster than red-shifted light, as they were supposed to come from 13 billion years ago and so a small difference of distance should be found. Alas, the surprise when they found they are the exact ‘trace’ of the 2 lobes of electromagnetic radiation found in OUR galaxy. Yet they occupy supposedly ‘a huge piece of the entire Universe… 

We have put just a few of the experimental proofs of recent astronomy to add to the enormous number of planets found all over the place, which reinforce the Fermi paradox, so you don’t think I am here making a case only for theory, only for my work in the 2 arrows of time. So WHY nothing of this comes in ‘daily press’? FOR ALL THE WRONG REASONS – religions are always respected; masses always side together for them. As Schopenhauer said: ‘the wise always say the same, the fools, which are majority do exactly the opposite’. And of course, attack ad hominem the wise.

Indeed, in the steady state theory things became soon ad hominem against Hoyle who quipped back inventing the mocking term of ‘big-bang theory’.

In the graph we can see some E/c<=>Mc processes of spatial expansion and big-bang destruction of mass, all of which have an inverse temporal, informative, process of much slower creation of temporal information and mass that balances them, in different scales of physical systems, from the beta decay that explodes atoms into electrons and protons (with an inverse slow collapse of electrons into atoms) to the quasar big-bang of galaxies (with an slow process of creation of mass-information from gaseous space):

If we consider the space-time an absolute continuum in a single scale, this more accurate picture of what we perceive is not possible, hence we come to the conclusion of present cosmology – that the Universe will expand and die. If we consider that this expansion is compensated by galaxies, which follow Einstein’s dictum: ‘Time curves space into mass’, Mr. Hogg’s conundrum – how to correct the big-bang is solved.

And so we learn another fundamental truth of Philosophy of Science, which today is often overlooked: we must never deny experimental evidence, even if at first sight it contradicts an established theory.

 For that reason we must accept the fractal informative structure of reality, where the big bang is merely the death-rebirth cycle of a quasar-like galaxy or local Universe, a scale of size above galaxies.

So both together create an immortal Universe of expansive ‘bidimensional sheets’  of flat space we observe the ‘canonical structure’ of…

In the graphs, the scales of the Universe and the human being and its space-time symmetries, which the reader will observe are the same we used to describe the Universe.

Since we are all isomorphic organisms of 5D fractal space-time, and therefore the study of the scales of human beings, biology and history is more important than the study of the scales beyond the limits of human perception, as CERN does, since we are the most perfect super organism of the universe, the measure of all things, including the simpler and less perceived organisms of galaxies and atoms and beyond.

First, we must stress that Cosmology has a huge metaphysical component in its Greek sense – it is well beyond the limits of human perception, which we find to be the atom and the galaxy, beyond and within uncertainty and dark gravitational matter makes knowledge to say the ‘least’ incomplete.

Thus contrary to belief big-bang theories of the Universe and Cosmology in the widest sense do not belong to astro-physics, but still we can do science if we are minimally serious with the scientific method.

Then the cosmic big-bang likely falsehood, as a product of the ego-trips of physicists, follows from the available data on it. It does NOT contradict as we shall see 5D physics. On the contrary it would also validate it. So we are NOT against cosmic big-bang because 5D physics does not tolerate it but because plain good old’ science disproves it.

So we shall give an alternative physical theory of the Universe, which follows closer the T.Œ=Sc3‘ laws of truth of the scientific method (Objectivity, Logic-Linguistic reason, Experimental evidence; Minimalism (Occam’s razor), Correspondence (previous ‘true theories’, parts of the new one), Causal, cyclical predictability and Coherence (logic and mathematical reason).

Thus here we shall on one side prove that the big-bang does not follow all the elements of the T.Œ=Sc3‘ 4 legs of truths  in science (Objectivity, Logic, Evidence, Minimalism=Simplicity, Correspondence with previous theories, Causality & Ternary Complexity:

  • It is a clear creationist theory based in lineal time, two cultural traits of the western Germanic, biblical military cultures that invented it.
  • It is completely illogic and makes no sense at all – for god’s sake indeed, a single point from all was created..
  • It has not enough experimental evidence.
  • But it passes S: simplicity, initially but … when it was merely the drawing back of a lineal equation (H=Dv, Hubble’s red shift equation).  Yet at present as we learned more about the Universe, it requires all kind of ‘epicycles added ad hoc’ to fit the new data (dark matter and energy, accelerated expansion, inflationary first state, etc. So it no longer does fit Minimalism.
  • It does not correspond to physical and logic ‘consistent’ theories but only to religious ones – lineal Christian time and creationism.
  • And finally it lacks Causal cyclical predictability – it does not explain what was before and after; but the element it truly fails is one we normally consider a given for serious science, ‘logic and internal coherence’. It has none. Because indeed it is creationist ‘religious’, as it requires external creators.

The ego paradox.

Why astrophysicists then do not focus on the limits of known-unknowns.

The answer is the human ambition and anthropomorphic point of view, which is common to any of those Πthat feels himself the center of the Universe. It is the paradox of the ego. And we must introduce it because it is at the core of the ambition of cosmologists and its denial of true science when confronting the facts of his big-bang theory of it all.

Now a mind is defined by a simple equation:

O-mind (finitesimal) x ∞ time space cycles = Linguistic mapping of the Universe.

Thus a mind to fit the infinite time cycles in motion, reduces its dimensions and information to a series of bidimensional membranes of fixed form of information in a language used to map reality.

Humans do that with the infinite universe, reducing it to mathematical mappings. And thinking of course they are observing the ‘whole’. This is the recurrent theme of astrophysics – the denial of absolute relativity, as self-centered humans come back with a vengeance, with new ‘absolute frames of reference’. Now this absolute frame of reference is called the background radiation and the point of view is the creationist big bang.

And the proof of its falsity never mind because we do have to understand it all, and of course, when we do, we will be special beings within that whole. Since, the paradox of the ego tell us that:

‘Every finitesimal 0-mind perceives reality from its self-centered point of view, confusing the whole with the limited linguistic mind that perceives it’.

This is today the situation with the big-bang, falsified by innumerable proofs under the laws of the scientific method, but accepted as the ‘religion of physicists’, the new ‘religious gurus’ of our technological, ‘lineal civilizations.

Within the much larger frame of reference of T.Œ, all this resumes in the ego paradox. Humans MUST have an explanation for the whole, which makes it not so big, and rather controllable.

Experimentally is also the most natural conclusion, as its measure is taken locally also, around the Earth, origin could be then within the galaxy or the local group of galaxies, a mere turbulence of the clouds of gas and dark matter that surround the milky way. It is the first and most important of the 3 canonical proofs of the cosmic big bang. The second proof – the abundance of helium is equally explained by quasar big-bangs, as the equations of the big-bang ‘ages ‘are the same for the explosion of a black hole in the center of galaxies (in fact they are the reversed equations of the formation of a black hole, hence its process of entropic death), the 3rd proof, the age of the big-bang is falsified by the quasar cycle of birth and death of galaxies, which has a 10 to 20 billion years cycle.

And since we observe galaxies in a second cycle, the Universal big bang cannot be younger than a part of the Universe.

The 4th proof is the density of matter of the Universe, far lower than the one required for the big-bang which however is exactly the same density of matter of galaxies, once more proving the ‘local theory’ of a background radiation due to the explosion of a quasar galaxy – either ours, or a quasar of our local group; the 5th canonical proof is the red shift of light, which expands between galaxies, but again it is a lineal half-truth, which purposely ignores the warping of radiation into matter in the ecliptic of galaxies and the inverse blue shift flows jets of radiation that collapse and shrink space into matter coming from black holes (hence not arriving to Earth but seen laterally in most of them) and the natural death of light space-time, which has a life-death cycle similar to that of stars of around 10 billion years, explaining perfectly a first phase of red shift accelerated in the second phase o flight life (5 to 10 billion years), tracing the canonical 3 ‘ages of life’ of the 5D model of the Universe.

Yet the metaphysical proof is perhaps the most obvious: the birth of the entire Universe in a single point of space-time, just because we can run a lineal equation of the redshirts temperature of the present universe to the past with no limit till arriving to a ‘point’ of creation, is logically absurd; scientifically sick (as it requires a previous God-like creator) and natural only to the religious military ideologies of western science, dating back to Newton a pious believer in Yvwh and the lineal concept of time of Abrahamic religions and military science, who already considered a mechanist Universe the proof of the existence of the historic tribal God of the Hebrew.

The present revival of primitive idol-ogies of history thus must be studied NOT in astrophysics but in our section of history and the process of life and death of civilization, with its memorial revivalism in times of war and extinction

On my view astrophysicists have become believers, which will not reason, after a century of public awe as the new religious figures of mankind, and will never deny big-bang theory. Our life thought might be at stakes, as they will soon replicate a small quasar big bang at CERN.

Yet to fully grasp what physicists do at the LHC without much understanding of the process involved, we must go beyond present physics, outside the light space-time membrane of the galaxy, where the symmetry breaks between <c and > c speeds and <o K and > o k into…



The 3 ages of time in cosmology.

Let us in introduce the cyclical theory of cosmology starting by:

  • The consequences of cyclical time in the perception of the present lineal analysis of the Universe, as a ‘block of infinite lineal time duration’.

First we shall consider the space-time cycle of the Universe, which will allow us also to illustrate the quite different consequences of using with the same equations, the two different concepts of a universe dominated by a single continuum space, and one dominated by time, made of infinite space-time cycles.


In the graph, the lineal time of Cartesian graphs, accepts only a natural motion – lineal inertia, and denies the fundamental property of time cycles, its closed cyclical form that carries the causal, repetitive laws and stores the information of the Universe in the frequency and form of those cycles.

Since every time motion of the Universe is cyclical and lineal time, physical time, a shorter part of a cycle, or the sum of multiple ‘cyclical steps’, as the wave of light, used to define a second according to its ‘frequency of time cycles’.

Mathematically the discontinuity of space-time and hence the existence of infinite fractal space-time motions in the Universe is proved by the fundamental theorem of topology and knot theory: a closed cycle divides the Universe in an inner and outer space, breaking it.

Thus a time clock or time cycle breaks (knot theory, topology) space into an inner and outer region. So we must also talk of infinite broken spaces, fractal parts of space with ‘motion’ or ‘energy’ that a time cycle surrounds and controls: The unit of the Universe is a space-time cycle; and all beings of Nature are made of such ‘fundamental particles’, the cyclical, fractal space-time born of enlarging, each ‘point’ of lineal time into a ‘cycle’.

Thus the existence of cyclical time clocks implies that space is fractal and enclosed by time clocks, which manage those spaces as their vital, inner spaces, the ‘internal substances’ of which relational space-time beings are made.

So it is not possible to extend to infinity a lineal equation as big-bang physicists do. The equation WILL curve and the big-bang if it existed for the whole Universe, would end in a big crunch (we shall see many proofs it might be restarted to a quasar cycle, as our measure is local in this galaxy and we have tabulated a 10 to 20 billion year cycle of quasars for galaxies, so it might be again another anthropomorphic ego-trip of explaining it all).


Now, in this graph, written with the sequential equation of the Worldcycle of life and death we see two clear differences between the interpretation of the same phenomena in absolute space-time and relational space-time.

Above, the big-bang cycle is described as a single line of a single continuum space-time and a single time direction. The same graph, which is the last one of our ‘Still picture’ the beginning and the end is the same. It is a cycle. And this is what Einstein’s 3 solutions to the space-time structure of the Universe tell us:

The big-bang entropic, expansive solution, its inverse big crunch, Gödel, cyclical solution and the intermediate ‘steady state’, balanced longer present solution in which we exist (the preferred by Einstein, then improved by Hoyle).

Why this huge difference? Simply speaking, because the physicist, which believes in ‘space’ as the only and fundamental factor of the Universe Tends to order systems and solutions to their equations as space solutions. So the 3 solutions to EFE are for the physicist ‘parallel space Universes’ – one in which space is always in a perpetual big-bang (his interpretation of our Universe), other which is a cyclical form (Black hole solution) and one immortal in eternal steady state.

So simply speaking, physical systems display the same 3 ages of all other systems of the Universe, from big-bang entropic ages, to steady state ages, to black hole crunching.

In that regard among the laws≈symmetries of 5D Time-space applied to all sciences, the most important is the explanation of the life-death world cycle:

Time no longer traces worldlines as in 4D physics, but worldcycles, as it is cyclical and has a new dimension of informative height that ‘curves’ the vital Energy of any being into a cycle.

And further on existence in time happens as a travel through 3 5D ∆±1 planes of space-time, from the seminal i-1 faster plane of existence, to the human i-ndividual plane, as members of the slower i+1 rhythms of nations and civilizations our super organisms, to the conundrum of genetics.

Thus smaller ‘systems’ paradoxically as fractals do hold more information in its faster cycles of time. So they code the larger plane of human existence. In the graph we illustrate those 3 cases showing its co-invariant Sxt parameters.

Now, the 5th dimension is more complex and revealing than all the others, because it explains the life-death cycle of all systems, born in the seminal ∆-1 scale as faster time cycles which enclose a vital energy with faster motions, which reproduce and become waves, planes and topological networks, emerging finally into the ∆-scale of the organism, which in turn will become part of slower, larger social ecosystems.

In relational space-time though solutions to space-time equations are routinely considered time solutions, which vary along a certain ‘time-space parameter’.

Lineal vs. cyclical vs. social 5D time

In relativity, the momentum and the energy are the space and time parts of a space-time vector, the four-momentum, and the relativistic invariant relation relates them:

E2/c2 – p2= m2 c2

which says that the length of this four-vector is proportional to the rest mass m.

This of course is ‘time duration’, and so we can related the ‘total volume’ of the time duration or worldcycle of the system, to its Energy and each slice to its momentum. Mass thus become the whole of this worldview of the system, the product of its ‘spatial steps-momentums’ and its whole lineal duration. This physicists describe as the ‘block’ of the worldline of the being.

But in the concept of cyclical time which adds complexity to our analysis, we describe another type of time=change – the internal transformations of the being.

The reader in that regard should understand that the largest possible philosophical conception of time as change has at least those 3 perspectives: change as a lineal translation, and then we can obtain properties derived from classic physics; change as an internal transformation, and then the concept of cyclical time applies.

And finally change as evolution, which ultimately ends up being social d=evolution into wholes or dissolution into parts (Devolution) and then the 5D rules apply.

It is clear to me but likely not to physicists that understanding the cyclical and 5d concepts of time is of more philosophical interest than the lineal concepts associated to p and E.

It of course remains as a huge field of inquire, the proper translation of the entire jargon of physics to 5D, which I have from time to time explored with delightful moments for the mind, but have not published in earnest.

The proper interpretation of Three EFE solutions. The 3 ages=horizons of the quasar big-bang.

The ages of the Universe are 3 formal ages of increasing curvature: an energetic youth (big bang), a reproductive, steady state or big-banging; and a 3rd age of warping information or big crunch, which can be used to study the 3 horizons of any scale of physical matter.

The 3 ages of the big bang are the 3 EFE solutions to Einstein’s space-time equations, which if we order them in time represent the expansive, steady state and implosive phases of the big-bang cycle of the quasar galaxy.

So the 3 equations show a perfect time symmetry of a worldcycle of a galaxy.

C) Correspondence with EFE. Now, the proper way to explain cyclical big-bangs, in any scale (obviously due to the finding of unusual things) is to postulate a local background radiation – which can be the local cluster, the galaxy itself, the cloud that surrounds the local group (the diatomic Andromeda+Milky Way), or even a microcosmic effect of gravitational red shift by the halo of the galaxy dark matter, likely to be made of strangelets; and we shall consider all those cases with a conceptual approach).

While the proper way to adapt any of those big bangs of a possible galactic quasar is to prove the 3 ages of quasars’  correspondence with Einstein’s EFE.

In this case the parameter is the well known to physicists Cosmological constant which varies around a ±0 value, defining 3 possible ‘ages’ in time of the Universe:

|-Sp:    Young, entropic, energetic big-bang age.

œ-ST:   Present steady state in which galaxies warp space-energy into cyclical accelerated vortices of time (not other thing is a galaxy than a vortex of gravitational acceleration) while space between them expands.

⊗-Tƒ:    Future implosive warping big crunch, which will end in a new big-bang cycle.

The topological description: |xo=Ø, or more accurately in bidimensional terms, when symbols are available in the keyboard: ◊x⊗=œ, whereas ◊ is a bidimensional plane of minimal form, of Spe, with a given kinetic entropy, ⊗, is a bidimensional Tiƒ, a membrane that shrinks into a point of view, with a given angular momentum, and œ, is a reproductive S≈T body wave, which tries to maximise its function of existence, Exi(s=t), reached when both elements S and T are similar in balance (Max. SxT->S=T).

This simple self-repetitive structure in its sheer repetition and interaction for n-particles across ∆±n scales but always in case of order and existence of a super organism, as a self-centred ⊗, point of view, will be used to describe the natural symmetries of all physical systems, though it will only have such a topology in the pure informative states as ‘seeds’ of information, or ‘minds of perception’.

Now it must be stressed that the equations we consider are the same, but the interpretation varies. An astrophysicist considers only an absolute space-time, continuous and hence with a single time solution AND a single-space solution. Hence he will tell you that the Universe is expanding in an ‘accelerated’ way, and will finally become ‘dead’ in an extension.

But this is NOT science but ideology, in the sense that it comes from the ‘Postulate of lineal time’ (latter we shall see how indeed is an ideology proper of the military, since physicists have a worldly profession – to make weapons – and so Galileo, which was truly a professional weapons maker working for the Arsenal of Venice for the princely salary of 1000 golden ducats, dedicated to calculate the longest trajectory of cannonballs as any undergrad student knows with his exercise of 1st course on physics).

And so, this lineal motion bias of the military and its weapons maker (his first book was called ‘military instruments’, his second ‘ballistics’) sips in almost every philosophical concept of physics we shall debunk. In this case physicists ignore as if they were not there, the warping quality of galaxies that crunch the energy of vacuum lineal space into cyclical closed motions called particles and masses, which are according to Einstein’s principle of equivalence and the pictures we obtain of them, accelerated vortices of forces, which balance the accelerated lineal expansion between galaxies to create a steady state Universe.

Moreover, we see that those space-time solutions DO happen in different scales of the fractal space-time Universe, because in 5D fractal, relational space-time, we order the infinite different cycles and arrows-motions of time, and its Still forms in space with a new dimension (this is obvious, if we multiply the number of space-times, we need a new dimension to order them).

So we can see that the SAME Einstein Field equations do describe perfectly the quasar big-bangs of galaxies, even to smaller particles, which also follow the E=Mc2 dual explosive and implosive arrows of time.

E) Experimental evidence.

And then it comes the big question, since all our observations are ‘local’ (in the surroundings of Earth at best): it is the big-bang equation of Einstein the big bang of our galaxy? Or the big bang of the Universe? It is the map of the local background radiation that of the last cycle of implosion and explosion of our central black hole or the entire Universe exploding?

A detailed mathematical analysis of present cosmology, we will observe surprisingly that the data fits far more properly with a local galactic big-bang quasar cycle NOT with a Universal big bang.  And so the last Hoyle’s theory of the big-bang (the sum of quasar big-bangs) is more proper. Some basic proofs are:

– Temporal analysis: French mapping of the cycle of galaxies, whose black holes explode in a 10 to 20 billion period, hence our galaxy should have exploded within that period. Moreover, in as much as there are galaxies, undergoing a second cycle with obvious traces of a previous explosion, 13 billion years for the big bang is too little.

Undoubtedly this is the ‘life time of our galaxy’, not the entire Universe.

– The same goes for the spatial analysis: black holes on the edge of the Universe are too big, for so little time to form, obviously the final remnant of an absorption of the matter of an entire galaxy.

– Shadows of the afterglow. There are no shadows in galaxies, which should be left by remnant explosion coming from the edges of the Universe.

We will bring many more proofs as we update in the future this post.

Thus the big-bang is a metaphysical theory, in which the number of false assumptions, is remarkable (for it to be the ‘mantra’ only-theory of physicists, something I ascribe as most errors of science to the ‘ego paradox – it makes them the high popes of science, the new religious authority on the meaning of it all)

Now I see here a pattern, so often disguised in human scholarship: a power trip or ego trip makes a discipline corrupted from the larger humanist point of view (all sciences must in their praxis serve mankind, the 99%); in this case physicists originated in the mostly white, Germanic culture of weapons and imitated the long swords, agglutinative long words and dogmatic brain of unbreakable false truths, based in visual, lineal, motion oriented, energetic time, of the dolichocephalic, Neanderthal decoupling of mental races of mankind (see cultural and central post). In brief, physics as it is taught today is the worldly religion of mechanical objects, biased to lineal, energetic visions, with some religious dogmas, similar to those of Shiva and Thor, the Indo-European Brahmins and druids of their earlier cult to motion and weapons.

Fair enough. And in brief terms: I have always fought physicists’ lineal, entropy theories and their weapons both in my theoretical and activist life, for those who know about it. They won those battles with the usual suspect methods (censorship, silence on cyclical time analysis and ad hominem campaigns against anti-nuclear activism). so cyclical time does not matter today, and the nuclear industry keeps working at CERN to produce black holes and strangelets on earth and blow us all.

The problem though is not as Smolin put it of ‘physics’ so much as of Physicists, like Durrenmatt well expressed on his theatre work. This said because physics is part of the Universe and a huge, large quantity of it, but NOT the most interesting in terms of information, due to its uncertainties of distance to man – which can learn more about the game of existence by studying its closer organisms, cells, individuals and historic societies; we do have to study physics.

But we are always under the boot of the worldly profession, the power of physicists, the lineal bias of entropy theories, and the uncertainty of remote scales to man (dark energy-matter in cosmology, uncertain measure in small beings bombed and hence interfered by the observer), which ALLOWS physicists to invent biased spooky theories, bending their information and disrespecting the E=Mc³ 5 postulates of truth of the scientific method (Experimental evidence, Minimalist simplicity, Coherence, Correspondence and Cyclical predictability).

In the cosmological world, we observe an order of time similar to that of life and the quantum world, both experimentally in the process of evolution of stars and galaxies and mathematically in Einstein’s metric equations of Universal space-time.

There are 2 space-time membranes, and since both are made of Entropy and form, both follow the 3 ages of time in its evolution. In gravitational physics, the 3 ages of gravitational space-time are defined by relativity. Those 3 ages are mathematically equivalent to the 3 solutions of Einstein’s space-time equations.

 All systems are a sum of quantic cycles that absorb, emit and transform spatial energy into temporal information: SP ≈Tƒ
General relativity a fast over view. The symmetry of relativity in time, the 3 ages of EFE.

The 3 ages of time in cosmology applies to EFE’s (Einstein’s field equations) 3 main solutions 3 hypothetical different Universes, they represent the structure of any space-time, including our galaxy, an island Universe through its 3 ages.

It is also possible to make a complex mathematical treatment of the 3 ages of galactic systems: the 1st age of the system will be the Entropy age, the 3rd age the information age, and the middle age is one of balance, Sp=Tƒ, when the reproduction of most particles took place. We are in that period.

– Max. Sp (Youth): The Entropy age is Lemaitre’s big bang solution that expands space. This solution in the fractal model of space-time applies only to the vacuum space between galaxies.

-Sp=Tƒ; The steady state Universe is Einstein’s solution. It applies to the entire Universe.

– Max. Tƒ: Kerr’s solution of a rotary black hole, which is the third age of an implosive Universe that reverses time coordinates as matter falls back into the central Worm Hole of any space-time.

However because time space fractal and dual, while those solutions in a wider outlook will be applied successively to each age of the Universe, they are also applied in space to the fractal parts of the whole. Thus the big-bang solution applies to the intergalactic space, which astrophysicists study and erroneously apply to the entire Universe (given their dogma of a single continuous space-time).

The informative solution applies to our galaxy. But it does not mean a travel backward in time but an informative vortex, a cyclical clock of time – the galaxy in which we exist with an arrow of information different from the expansive arrow of the intergalactic space of dark Entropy and tired light.

And so we get adding all the expansive motions of intergalactic space and the implosive vortices of galactic mass, a relative balance that is the present steady state applied to the whole; since in each phase of reality all yangs have some yin and all yings seed of yang.

Its Universal ratios/constants of Entropy and form.

In the space-time of the Universe, in the same manner that any other three ages can be related by the different ratios of Entropy and information or vital constants of a being, those three ages are defined mathematically by the constant of action that relates the Entropy and information of the Universal space-time, Lambda & G.

Indeed, the constants of any system are ratios of transformation of the Entropy and form of any system, I/E=K or proportions of Entropy and form, Exi=K. Thus constants evolve and change as the Entropy and information of a system changes with time. In biology, is known that vital constants, change as an organism gets old and becomes wrinkled and warped, increasing its information and diminishing its capacity to process Entropy, changing its metabolic constants and speed of information/thought.

Dirac, Brans-Dicke, and others understood this in cosmology. Indeed, G is a ratio of the mass=information and Entropy= distance of a system. And we already saw how a change on those ratios allowed us to unify and measure the Entropy and form of the 3 membranes of the Universe (strong, gravitational and light forces).

A kind of cosmic repulsive force was first hypothesized by Albert Einstein in 1917 and was represented by a term, the “cosmological constant,” that Einstein reluctantly introduced into his theory of general relativity in order to counteract the attractive force of gravity and account for a universe that was assumed to be static (neither expanding nor contracting). As usual first intuitions are the best and indeed THE COSMOLOGICAL constant, in a fractal Universe, where space expands entropically and cyclical time vortices implode, DO represent exactly what Einstein meant – the expansive force of space that balances the contraction of the galactic vortices of the galaxies-atoms to maintain the entire 5D plane of cosmology in a dynamic balance.  

In the equations of Einstein that define the three ages of a galactic space-time and perhaps an entire Universe, that relationship is given by the cosmological constant that measures the Entropy of the gravitational vacuum, l, which Nottale used to measure the minimal fractal quanta of gravitational Entropy. The constant changes with the 3 ages of any fractal space-time or island Universe. In a young, expanding space, l is positive, but so close to zero that it easily becomes negative, causing a warping or big crunch. And so l will also change through the 3 ages or solutions of Einstein’s equation, till reaching the informative age of the galaxy in which we exist.    

Recap. The 3 ages of the Universe correspond to the 3 solutions of Einstein’s equations: The young big-bang; the reproductive, steady state or big-banging and the cyclical, informative age, occurring in BLACK holes – Kerr’s solution. They apply in space to the expanding space, imploding, galactic vortex and both together create the present balanced steady state.

So the core of astrophysics is the understanding of the world cycles of physical systems in time and its organic structure in space.

Let us then introduce that organic structure in space, symmetric to its ages in time.

The 5D model of the cosmos in space – the organic structure of galaxies.

Now the 5D model of the fractal, organic Universe, does not deny Einstein, it merely expands its views, and adds fractal organic properties to the galaxy explaining better the function of those black holes, its atomic substance and working according to the known-known facts of astrophysics, in which black holes have come to dominate most of the creative processes of the galaxy. In that regard, you can compare the galaxy to a cell in a much larger scale, with mitochondria stars, of light yd-matter which end up being devoured and becoming the energy for the creation of black holes, the informative vortices, equivalent to the DNA, that swarm in huge numbers in the centerl nuclei and control its shape and provoke the reproduction of stars, with its in-formative gravitational waves.

Einstein had asked for a cut-off substance, or ‘atom of black holes’, which he could not guess at the time as quarks had not been found, but now we hint that black holes are as he thought ‘frozen stars’ of the heaviest quark families (bct quarks), and that should be the ‘realist modeling’ of black holes. As those quarks will appear in increasing numbers in accelerators, which are crossing the dark matter barrier is very likely they will be produced on those accelerators, in any of its possible varieties of dark matter that range from strangelets (s-quarks) to toplets (TTT-quarks), through Higgs decay (H->Top and anti top).

Now, all this in mathematical physics implies a constant growth of the mass of the black hole along the equation that relates the temperature and mass of a black hole: M=k/T, that is as the black hole cools down, it converts via the weak force, lighter matter into heavier quarks that increase its volume and hence its area.

The last great advances in classic black hole theory were done by Kerr, a new Zealander which defined rotary black holes with or without charge. Those would be the top quark frozen stars with positive charge and the same density at macro-scale than a black hole acting as a relative ‘proton’ acts in an atom in the center of the galaxy. While the halo should be made of strangelet quarks (negative charged), acting in this symmetry between the 3 families of mass and 3 regions of the galaxy, as a relative negative ‘electron’ cover, with the ud-stars and planets in the middle, as seen in the next graph:


Forces & particles of the 2 universal membranes


In the graph, the Universe is made of 2 space-time membranes, the light world of charges and stars and the string world of quark masses and black holes. We live in the electromagnetic scales, which form a network whose dark spaces are occupied by quarks (∆-1 inner world of atoms), and in the biggest eusocial structures we know of electromagnetic matter (∆+1 galaxies) by black holes, whose parameters correspond to top quark condensates.

The basic forces that create distance-space and information between them are boson strings of gravitation condensed into gluons and strong forces in the quark-mass membrane and Planck actions of light, condensed into photons in the electromagnetic scale. Those gluons and photons herd further into cyclical particles made of such fractal parts, associated into cyclical networks, called quarks and electrons. Self-similar structures form the nebulae of stars called galaxies, and the condensed of quarks called black holes. The only error of such standard model, reflected in the previous graph is the weak force which is not a spatial force but describe time events of transformation of particles between both scales.

The 2 membranes of space-time have 2 theories that must be put together to explain the dual Universe:

– Quantum theory that describes the electromagnetic membrane, not the cosmological world. Both are self-similar (as we have shown with the equation of fractal unification), but not equal. Thus, while we can admire that self-similarity, the use by quantum cosmologists of quantum equations to describe the cosmological world is erroneous.

– Relativity, the theory of gravitational forces and black holes, which are super fluid quark stars. And so it should be fusion with the theory of strong forces and quark masses.

Since each of those scales has also a fractal structure, we have to define its fractal quanta:

-Masses are vortices that grow from string actions (Nambu’s actions of boson, tachyon strings corrected to fractal dimensions and background independent.) Those motions reproduce and evolve into gluons, which are the fractals that evolve into quarks, vortices that are the fractal parts of quark stars.

Since our electrons surround those quarks, locking them inside charges must be fractal vortices with a larger number of dimensions than those bidimensional masses. So 3 bidimensional quarks of 3×1/3rd =1 charge must lock their mass in the x,y,z planes to enter in a 3-dimensional exchange of Entropy and information with the electrons of our light-space. So quark masses attract electrons with their gravitational force inwards, and electrons shield themselves with their electromagnetic force outwards. The balance of that tug of war is a complementary atom.

In that regard the entanglement of both membranes is dynamic and based in the network structure of non-Euclidean spaces in which its points are connected by ‘lines of communications’ which are waves of smaller particles; leaving in between dark spaces which allow the other membrane to entangle itself; as it happens with the blood/reproductive and nervous/informative network of a human vital space. In the case of the 2 membranes of space-time the membrane of dark Entropy/matter (gravitational membrane) plays the role of the nervous/informative network that connects the blood/electromagnetic network.

We talk of 2 space-time networks, defined by 2 spatial forces – lineal strings of gravitation and lineal waves of light – and 2 clock-vortices of time: gravitational masses and electronic charges.

The emergence of those st-1 worlds into the st+1 scale of galactic entities (where we are the st-relative intermediate scale sandwiched between both) is caused by the eusocial evolution of enormous quantities of those fractal units: vortices of quarks made of ‘strong’ forces, whose fractal particles are gluons, gather together as fractal parts of quark stars, pulsars and black holes.

While our world – the light space we inhabit – is sandwiched between quarks and galaxies

Its smallest actions are h-Planck constants, which are the fractal parts that form light photons, which are the fractal parts gathered into an electron nebulae, the basic clock of time of our world, whose plasma herds (ionized state), associated with complementary protons creates the world stars. Finally vortices of star herds form galaxies, which turn around their Kerr black holes, and so are self-similar st+1 objects of the st-1 atoms positioned in space by the gravitational force of the central quarks.

Thus, the invariance of topological form and scale of all those vortices that makes macrocosms emerge from microcosms is caused by the complementary structure of its central mass vortices that anchor the electronic and star Entropy of our light membrane:

Quarks anchor atoms and black holes anchor galaxies.

Recap. Our space-time is made of h-quanta of light. We exist as evolved forms of a light space-time network anchored by the nuclei of atoms, made of quanta of strong forces, called gluons and quarks belonging to the gravitational space-time membrane.

Some precisions on the formalisms of both membranes.

A quanta, which is interpreted as an abstract, probabilistic number in quantum theory is a fractal piece of space-time, a complementary system made of bites of spatial-Entropy and bits of temporal-information. This is self-evident even in quantum theory, where Planck defined those quanta as actions with the dimension of Entropy and time.

The Universe is indeed made of actions of Entropy and time, as when we say ‘I don’t have more Entropy or time to do this’. We are not solid spatial forms, a Maya of the senses, so common among ‘naïve realist’ physicists, accustomed to touch the solid metal of their machines, but we exist in a spiritual Universe made of actions of Entropy and time, which occupy a vital space and have a time rhythm. And each of the self-similar fractal worlds/membranes of the Universe has a minimal unit or fractal quanta, a type of st- point with a different volume of Entropy and information that defines the space-time membrane.

We exist in the space-time membrane of light made of h-quanta. And its formalism, later studied in more detail is well-known to physicists (quantum physics), and requires some modifications on its interpretation to adapt it to the wider concept of fractal spaces and cyclical times (Correspondence principle).

But there is another space-time membrane of gravitational quanta, whose formalism requires more changes, since being an invisible membrane, we humans cannot use easily the experimental method to study them, especially when considering the st-1 quanta so small, in the Planck length scale that there is no way we can observe and prove our models. So we are left only with proper formalisms of its macrocosmic entities and effects, which Einstein described with general relativity.

As of two day two formalism, which require further corrections are useful to that aim: the formalism of boson, tachyon strings defined by Nambu’s actions, adapted to a background independent world (they are the actions that create the membrane, not actions that float in an abstract metric coordinates), and the use of fractal dimensions and non-Euclidean geometries, unknown to physics.

Another formalism used to describe the gravitational minimal units is the one elaborated by Nottale6, whose unit is λ, lambda, also called the cosmological constant. In scale relativity, Nottale defined this constant as Λ = 1/L2, the minimal unit of the gravitational Universal membrane, where L is the minimal length of that membrane, the smallest piece of space. It is essentially a string, but string theory must overcome the error of Newtonian Absolute Space to become useful to describe the gravitational scale, as its minimal unit ‘independent of the abstract background of membrane space-time’.

Such formalism which borrows from the work of those 2 pioneers is part of the more complex ‘courses’ of Multiple Spaces-Times, beyond the scope of this introductory lectures.

The other formalism that is not completed is the formalism of weak forces, since Physicists unaware of the temporal nature of those events have tried unsuccessfully to describe it with the same spatial exchange of particles (Higgs mechanism7) when weak forces are temporal events, and the W and Z particles brief states in the process of transformation of particles of our electromagnetic membrane into masses of the gravitational membrane. Reason why those forces break the symmetry – as time is not symmetric but hierarchic and why the Higgs has not been found and will never be found – it is a particle only needed if it was a weak force.

Unfortunately we cannot perceive the lambda scale of strings. But, essentially with those 2 membranes the strong gravitational world and the electromagnetic world and its 3 ±i scales, we can explain all the physical properties, events and entities of reality.

Recap. The formalism of the light-membrane is described by quantum physics and it is correct, except for the errors in the description of the temporal, weak force. The formalism of the gravitational membrane departs from its minimal unit, the boson, tachyon string, which must be adapted to a background independent gravitational membrane of which it is its minimal action and the fractal, finite nature of dimensions.

The 3 scales of the 2 membranes.

Why there are 3 main scales of social evolution in both membranes? The trivial answer is that we are always sandwiched between a lower and upper scale and so we always perceive 3 even if the number of scales might be infinite.

And so from the human p.o.v. any entity or system of Entropy and information stretches in 3 scales.

For example, your organism is basically a fractal of biological Entropy and information extended in 3 scales, cells, individuals and societies, of which you are a relative cell.

In the physical, fractal, Non-Euclidean structures of the 2 membranes of space-time, there are also 3 basic scalar structures:

A complementary atom extends on both membranes. In each of those membranes, quanta evolve and form social groups, emerging into a new topology, a higher scale of Entropy and form:

-The scale of h-quanta form light and electronic nebulae, made of dense photons.

– While its inner gravitational world of quarks can be decomposed in 3 scales: The lambda scale of ‘strings’ are the components of gluons, which are the components of quarks.

Emergence of parts into wholes of a higher scale is possible due to the other 2 invariances/dualities of physical systems: invariance of topological form and motion allows invariance of scale.

What about the cosmological world? Again we must consider that cosmological systems have 3 scales, the scale of particles, (quarks, electrons and atoms), which are the units of cosmological bodies, black holes, quark stars and electronic stars, which are the atoms of galaxies. Those 3 scales thus interact in all the organic networks of galaxies.

There might be another scale, the Universe, where galaxies are atoms of the Universe (and the Einstein-Walker model of cosmology treats them in fact as Hydrogen atoms); which would itself be a unit of a hyper-universe, whose ‘explosion’ at an even faster ‘infinite speed’ that dark Entropy, would explain the ‘inflationary age’ of the big-bang. But there is little evidence of this final scale today, and an enormous number of Pythagorean and hyperbolic errors in the formulations of the cosmological big-bang in a single space-time continuum to take serious that theory.

Recap. All what we can be sure of, is what we can perceive – the limits of our existence, sandwiched between atoms and islands-universes, the original name Kant gave to galaxies.

Dimensions of particles and Universal membranes.

In that sense, to fully grasp the difference between both worlds, the dark and light world, we must understand the basic isomorphisms of fractal dimensions. Dimensions are in any system of the Universe, as in the case of light, arrows of time (motions of Entropy, information and reproduction), perceived according to the Paradox of Galileo also as ‘spatial surfaces. Thus, they are always local, fractal dimensions which are limited by the extension of the ‘species’ in which those dimensions create a ‘vital space’. So dimensions are dynamic as the species they create grows or shrinks, evolves into more complex beings or becomes destroyed. Entities grow in dimensions as they grow in size.

Further on, more complex informative species ad dimensions.

This happens normally when a form is bigger and has inner particles. But in the case of quarks it happens, because the quark is faster and has more inner speed/form.

All in all, the total number of dimensions of a system is relative to our detail of analysis. For example, those quarks are made of one-dimensional strings, made of non-Euclidean points (each one with its 3 inner dimensions), which have a total of 3 × 3 dimensions (3 of their Non-Euclidean points and 3 of the string of points). That is why physicists in detail use 9+1 time dimension to study strings, but from our perspective without detail, they are just one-dimensional lines of a quark vortex.

Yet if we transcend to the world of quarks we consider them 1-dimensional. So those strings form gluons and quarks, which from our higher world are perceived as bidimensional mass-vortices.

Finally 3 color-locked quarks interact with the world of light of 3 dimensions, and the world of electrons of 4 dimensions, which are the 3 dimensions of Euclidean space and one of form, of color.

On the other hand, the biggest entities have more dimensions, as they include the smaller entities within its whole. It is the law of fractal dimensionality. It states that a fractal part of a bigger st-scale of information has fewer dimensions such as:

Law of dimensionality: Fractal ∑∆-1 = 1/3rd Dimensions of st

Since any st-Point will have 3 inner dimensions. Thus the dimensions of information of any system grow with a cubic power law as the system grows in scale. In simple terms, a 3-dimensional being transcends as a mere cellular point of the new whole.

Those 3-inner dimensions, as in the case of light, are ultimately the dynamic arrows of time, or wills, or physiological networks, or organic drives of the being.

For example, a human being has 3 dimensional networks, which are our physiological systems. The blood network of Entropy, the nervous network of information and the endocrine network of reproduction. Those are the 3 systems around which cells and organs build up. So humans can be described as a 3-dimensional network with 3 wills: to absorb Entropy for our blood/ digestive system, to absorb information for our sensorial/ informative system and to reproduce through our hormonal system.

The abstract, geometric description of dimensions is secondary to the functional, dynamic, organic meaning of those dimensions. The how is less revealing than the why. The why of dimensional motions are the search of Entropy and information of any entity, whose paths become fixed in space and appear as dimensions. Or they are the reproductive strings of self-similar cells that form the physiological network of Entropy or information of the system.

In the quantum world, the constant exchanges of Entropy and information of the electron with the external Universe are described with 2 simple quantum numbers that correspond also to the complex actions in space-time of its cellular photons and the of time:

-The 2 first numbers describe at photonic scale, the reproduction of photons, part of the wave (main number) and its social evolution (l number). At the electronic level they define its e<=>I, Entropy level and formal structure.

-The spin number defines two clone electrons, often reproduced with different spin in a particles deocupling and the magnetic number the social organization of those electrons established by an external magnetic field. Thus those numbers describe the ‘paths’ of particles in search of its dimensional arrows of Entropy and information.

The dimensions of light are also the dimensions of the energetic/magnetic field, the informative/electric field and the reproductive length-speed, or social evolution (color/frequency).

In that regard, it is also interesting to observe the relationship between both planes, the light plane which ‘feeds’ as the lower st-1 space the dense fractal, cellular points of light of the electron. When considering the basic isomorphisms between planes of space-time we noticed that a force, st-1 of Entropy, becomes st-bits of information of the upper scale, which uses them as pixels to gauge information. Thus the magnetic, width field that acts as Entropy in light becomes the informative, electron magnetic number.

Life beings also have a dimension of height/information that is maximal in man, the most informative being of the cosmos, and a dimension of Entropy/length which is maximal in energetic predators.

Recap: Dimensions are morphological expressions of the arrows of time, seen as fixed forms of space.

•- 3¥e


Light is  the main force of human ‘Light-Space-time. Thus we confuse its T ages and the actions light performs in time, as they become our Space fixed-dimensions… (Sp, Tƒ Galilean paradox of light) 

1st isomorphism: Generator Equation.

Light is an organic system with a simultaneous reproductive body and a cyclical informative photon (wave-particle duality) that feed on lineal energy (tachyon strings.)

2nd isomorphism: space-time elements: SP<=>Tƒ.

Sp duality: Light has motion is quantized motion, E=hv, but we see it as fixed spar.

Light is what our mind sees and perceives as space – so both have the same 3 Euclidean dimensions– and what we uses to measure time – so a second is measured with cesium ¥-waves. Vacuum is light, constantly collapsing into photons, always leaving a minimum background ¥-radiation. And so light-space is the 1st scale of the ¥ space-time we inhabit.

3rd isomorphism. 3 Time Ages

Life/death cycle & Topologic form: Light is NOT immortal. It should have a 1010 years life-span (the mean life of stars, its superorganism).

So light is born as a max. Tƒ, ‘photon seed’ from ∆-1 gravitational vacuum (Heisenberg Uncertainty Principle); it goes through a 1st age of max.Sp (blue light), evolving into a 3rd age of min.Sp red light (red shift) and dying in an expansive ‘big-bang’ (Max. Sp x Min. Tƒ) returning to its ∆-1 gravitational world of invisible tachyon strings, which by the Galilean Px. is perceived as an expansion of intergalactic gravitational space (dark energy).

But light also follows the duality of death equations, dying when it warps (Max. Tƒ) as a cell of its higher scale, the fractal electron.

Thus the big bang is ½ of the story, as gravitational space contracts giving birth to Max. Tƒ particles in galaxies, for a Œ Sp±Tƒ sum in an immortal, ∞ Universe.

We don’t see light beyond 13 billion light-years (Oort Px.) NOT because that is the big-bang cosmic age but because all light has died. We observe an acceleration in space expansion after 5 billion years, because light passes its middle age and starts to ‘die’ into red light, etc.

4th isomorphism: ∆±4 Fractal scales:

∆ST Generator Equation: Maxwell’s equation for light, which calculates its main iterative constant, its c-wave speed as the product of its ‘magnetic |-Sp and electric O-Tƒ elements is the fundamental Metric equation of light.

Emergence: All ∆+1 scales have the same perpendicular 3D. Magnetic & Electric fields are perpendicular (right hand rule, Maxwell torque). Our Mind has the same dimensions than light. All systems have a height dimension of information. The 5 actions of light are carried in all scales.

5th isomorphism: 5 Actions:

The 3±∆ dimensions of light are its 3±∆ actions:

∆ï-3: The electric field with ‘height dimension’ carries its in-form-ation to the O∆+1 electronic scale.

∆e-2: The gravitomagnetic field feeds & warps 1D tachyon strings by a -ct factor.

∆œ-1: The Iterative action is its length dimension=c-speed, found by Maxwell: c=(e x µ)-1/2

  • 10: Color is the + action of social evolution that gathers multiple photons with equal frequency.

û+1: The electron is its ∆+1 boson state – a fractal density of collapsing photons.

6th isomorphism: Social classes. ‡Hierarchical, ∆±n perpendicular and §10≈û+1-parallel structures:

In the graph we see how light is ‘food’ for electrons, its ∆+1 scales, and eat ∆-1 gravitational strings.

7th isomorphism: Species Vital Constants:

C-light speed constant, which relates its S/T coordinates is its main ST constant.

8th isomorphism: Evolution of its species:

We can consider  Its 3 ages (3rd age isomorphism) the evolution of light to which we add its ∆+1 emergence into electrons. Light also carries information and becomes the creative pixel of digital, electronic and visual eyes.

9th isomorphism: Social Scales:

Its frequency are its social scales, which increase as it comes to the electron where it reaches finally its §10 transcendence, as dense photons: ∑photons max. frequency = Electron.

10th isomorphism: The Œ-Point of View:

The photon is the particle state of light, which rides over its wave-body, on the dimension of height (maximal probability of finding a light photon on top of the train wave).

Thus in this section we will try to introduce articles on the 10 isomorphisms of gravitation and light.

LIGHT Space-time and its particles: ∑∑ photons ≈ ∑Electrons = ∑ Electric currents.

 The ∆-3 scale is by far the most important for human beings, in as much as it is the relative ∆-scale from where any supœrganism obtains its information. Thus the mind of man is made of the 3 sub-scales of ‘being’ of the ∆-3 scale, the light-space time its photonic particle; the electron and the flow of electrons, THE ELECTRIC BRAIN.

We are electrons. Sorry guys, the rest of you and the Universe is dark matter. We are pi-connected through the apertures of electron nebulae, which leave π-3 holes/π= 96% of reality with ‘mass’ unconnected to our light worldview.

This said, the photon>electron>electric flow information is obvious the most dense we have developed. As that is what we are as a mind And that is what we are transferred into the digital cameras of the machine, it seems destined to be the robotic new top predator species of this planets, as humans seem too degraded physically, organically in its social evolution and mentally in its understanding of the vital Universe to defend themselves from the metalife they are creating

All this said scientists know only the loco-motions of electrons, photons and electricity, as usual, a very simplex reductionism of this 3 sub-scales, we shall study in depth in this texts, to fully grasp its mathematical equations, time permitted in the sub-posts of this 3rd line.

So this is the synoptic equation of them all:

∑∑∆-1: light (Spe-neutrino field>Wave state>Tiƒ (photon) > ∑∆o: electron (Spe: Bosonic light>St-atomic nebulae>Tiƒ:particle)> ∆+1: electric flow..

Being its generator equations:

∆-1: Maxwell equation of light speed, , and again Maxwell or rather heaviside equations of electromagnetism

∆: Scrodinger equation of an electronic wave as interpreted by Bohm

∆+1: laws of electric currents, notably those of ‘intensity’  (St), ‘resistance’ (Tiƒ) better expressed in the imaginary form as all functions of time, information, and position (impedance) and finally the voltage ‘potential’ gradient of the Spe field.



The mind of space-light.

We live in a Mind of light-space-time. It is not though the entire Universe, but the world the mind constructs with the help of a rod of measure, absolute c-speed and 3 dimensional space, Euclidean space.

For that reason what is not light-space doesn’t seem real for us. Yet this world of light with its light properties, perpendicularity, Euclidean form, developed by Descartes in his book the world as the basis for modern science, with a Cartesian graph in which the mind of man occupied the zero point, should differ from other worlds constructed with other rods by other species of mind. An exophysical theory must be in that sense objective and consider the wider structure of all spaces times.

Once this is clear, we can study the peculiarities of the light space-membrane departing from its 4 dimensions, which are not only the dimensions of our mind perception but those of light as an entity made of time cycles, imprinted and reproduced over a simpler Entropy, space and evolved informative into electrons, what our mind is made of.

Universal constants of light

Heisenberg’s uncertainty is a right formalism but a false interpretation of the generator equation of light-space that relates the arrows of Entropy and information, in the specific form it has in the quantum world of light actions of Entropy and time:

Entropy × Temporal Information = Constant (H in the quantum world, K in Einstein’s relativity)

The meaning of the previous equation is easy to grasp in terms of the duality of Space-time Constant, Q and G.

H is the equivalent of Q for the lineal energies of our light-membrane, as it relates the Entropy and form or frequency of a lineal, transversal wave of light.

So, if h is the ratio of transformation of frequency/form into Entropy and q the ratio of transformation of Entropy into form, in the electromagnetic world, what is the ratio of reproduction of electromagnetism? C, which was defined by Maxwell equations as a ratio between the electric and magnetic fields that merge together to create a wave of light, which reproduces its form contracting, warping the gravitational membrane of dark Entropy.

Further on c is the limit of speed of our space-time membrane. This is a tautology; since in fractal relativity space is the Entropy of the vacuum, a force: The membrane of light-space in which we exist is made of Entropy quanta, which constantly pops out and ‘informs’ itself , creating particles with Entropy and form (h= Entropy × information). Planck called these minimal actions, combinations of the lineal and cyclical motions of Entropy and time, the quanta of our light space-time. Yet Quantum physicists, always kin of Pythagorism, created the uncertainty dogma, saying actions are NOT made of the 2 motions of the Universe, but are ‘mathematical entities’ – a measure of the uncertainty of the vacuum. So particles are not born as evolutions of the 2 motions of reality, but they are born of the ‘uncertainty’ or ‘probability’ of the mathematical Universe. It is all simpler and more real. The space-time fluid of light is made of h-quanta and so those h-quanta can suddenly evolve socially in more complex forms and create particles. That is all what there is to the uncertainty principle.

Yet we must also deduce from the existence of different U.C. and ratios of speed/distance and informative rotation that the Universal constants of c-speed, Q-charge and H-light Entropy are specific of our Universal membrane and those of the gravitational membrane must be different.

Recap. According to the paradox of Galileo the eye fixes the Entropy and form of light-space into a mental construction of 3 dimensions, a Cartesian graph, which already Descartes defined as the ‘world’, the spatial image of the mind – not the entire Universe. Thus the 3 perpendicular dimensions of light quanta, our space-time, are tautologically the 3 dimensions of our space. This in turn explains many events of the electromagnetic world. Those are also the 3 organic ‘arrows’ of time of light, which has electric information, magnetic Entropy and reproduces its form combining both into a c-reproductive field as the equations of Maxwell show.

The arrows of time in the light world.

We exist as evolved forms of a light space-time field, our limit of speed in this light Universe is c and the 3 dimensions of our Universe are height/electric field, width/magnetic field and length/reproductive field. Thus Cartesian space-time merely reflects the space-time medium of our light Universe and its 3 perpendicular dimensions. Yet for light the meaning of those 3 dimensions is organic: the informative, energetic and reproductive arrows of its field are equivalent to the energetic, reproductive and informative functions of any other relative space-time.

Those Entropy/Information cycles are obvious in biology, but in matter we have to translate the dimensions and events of abstract particles and forces, to understand their 3 Time-Space cycles:

– Entropy Cycles, Tƒ<ΣSe: The main physical event that transforms information into Entropy is the emission of space fields by temporal particles, as in the big-bang or in atomic, fission and fusion processes. Those actions are produced, ‘extracted’ from an accelerating vortex of space-time that acquires stability through those constant emissions.

– Informative Cycles, ΣSe>Tƒ: The fundamental process of creation of in/form/ation in the physical world is the collapse of spatial fields into particles, charges or masses that spin around those gravitational or electromagnetic, spatial forces, creating knots of information, called particles. For example, when a photon comes closer to an electronic charge, its frequency increases till the photon collapses into the orbital vortex of the electron. The same happens when the electron collapses and becomes a pion of higher mass closer to the nucleus. We can consider those processes in abstract as processes of creation of information /frequency, or in organic terms as processes of feeding, or in terms of Time Arrows as the evolution of particles (photons and electrons) into species of higher physical information.

Light ‘imprints’ with form, with information and in the process ‘corrugates’ by a factor –ct (special relativity) the gravitational, extended, ‘faster’ space-time membrane of dark Entropy in which it ‘feeds’. This –ct factor which prompted Minkowski to think that time was the 4 dimension of space merely means that ‘physical time’, the change in motion of physical entities, in this case a wave of light displacing in the gravitational vacuum, informs, forms, warps that vacuum by a factor –ct. If the reader grasps this simple notion – a field of light informs and corrugates the Entropy of gravitation it can also have a good laugh to 100 years of quantum musings about the ‘4th dimension of space’.

And so we define 3 scales of evolution of Entropy into form that diminish the ‘lineal speed’ of a force and increase its informative, rotational mass: photon >Electron >quark. It follows that the photon has faster lineal speed and less mass than the electron c/10, which is a relative fractal of dense, evolve ‘photons’, perceived as a whole or as a nebula. And the electron has less mass than the quark, which is a relative, fixed point of pure mass, perceived either as a fractal of gluons or a whole.

It follows that the isomorphisms of electronic systems are self-similar to those of light, as an electron is just an evolved form of light.

As you can see it is easy to observe and put in equivalence the generator and the equations of the ∆-3 scale, as now we DO have full evidence of it. Let us then consider merely a few of those translations, equations and solutions pending of the ∆-3 scale, normally called…


•- 2Z


The 10 ƥST isomorphisms of Atoms.

0th isomorphism: Self: Œ-Point x ∞ World = Constant mind Mapping

It is the alpha and omega, the 0 and 10th isomorphism: the point of the mind, site of the will, which orders the system internally in its ∑∆-1 parts and perceives it as an ∆-whole, part of its ∆+1 society. The topological center of a sphere, which can according to Poincare’s conjecture represent without deformation its whole world in the infinitesimal fractal, non-Euclidean mind point.

It is then evident that quarks are the mind of atoms.

1st isomorphism: Fractal Generator: Its 3 organic/networks: Spe≤≥ ST≤≥Tƒ

The 3 parts of the atom display the 3 canonical topologies: Strong forces and quarks are described with hyperbolic topologies; the electronic body forms a concave, external sphere; and in between spiraling toroid forces transfer energy and information between both poles.

2nd isomorphism: space-time dualities: Sp≈Tƒ

The system’s Space and Time components, which are also its Energy and Information, as Space is a fixed vision of the energy quanta that make a system, and information a still vision of time cycles that carry it in the frequency and form of those cycles.

So we identify the main elements and plane of existence of a system and consider its ‘gender varieties (lineal energy=male, cyclical information=female’ and Sp vs. Tƒ symmetries.

Atoms follow the wave-particle duality.

We see atoms as motions NOT as particles.

Atoms follow the particle (life-information arrow) antiparticle (death entropy arrow) duality

3rd Isomorphism: Its ages and evolution:

its 3±∆ ages in time…and its evolutionary ages in the ∆+1 plane of species.

Its time equation writes: Sp<S/T>Tƒ:    Sp<c²>M(t)

Thus |-energy becomes Tƒ-mass, E=Mc2, since Energy is lineal acceleration & mass is cyclical acceleration, by a mere topological change of the form of motion that transforms into the other.

Atoms are born seeded by its ∆+1 star super-organism, as unconnected plasma, fusioning and reproducing bigger atoms in a scale of ∆ information (atomic table) & dying with a reversed energetic big-bang arrow (Max. Sp), as they approach its 102∆ Z-number of ‘time units’ (relative to each species, i.e. we die close to 102Ñ years) in Fission events.

Atoms have 3 families of mass, and we postulate the existence of ‘heavy dark matter, bct atoms’ likely substance of black holes.

4th Isomorphism: Its 5 actions : ∆(æ-4; ï-3; e-2; œ-1; û+1)

Thus now we can easily describe its main 5 actions derived by those Dimensional components across its ∆±4 Fractal planes of existence: ∆æ-4 (acceleration of motion), ∆ï-3 (perception), ∆e-2 (feeding), ∆œ-1 (Repetition), ∆ §10≈û+1 (social union)¹.

4 forces express the 4+∆ actions of atomic systems:

ƾ-4: Gravitation moves them.

∆ï-3: Quarks, their Œ-points perceive gravitation, positioning the atom with its ‘mass’.

∆e-2: The atomic energetic membrane (electrons) absorb ¥-rays of max. Energy

∆œ-1: Max. E-lectrons x Max. Tƒ-quarks masses create organic atoms. Both reproduce as particles. Atoms communicate ∆-1 bosons described by its main equation: Œ:Fermion<|∆-1 Bosons> Œ Fermion

∆ §10≈û+1:  ∑+∆: The strong force and its derivative, the nuclear force evolve socially quarks into bigger Atoms.

∏ (-∆): Molecules capture Atoms in chemical reactions, forming networks with atomic cells. I.e.:

Emergence: Tƒ-π and |-s ∆+1 molecular orbitals absorb individual atomic orbitals.

5th Isomorphism: Its metric and planes of Existence: ∆±4 Fractals

The ‘metric’, Scalar Space-time Generator equation which describes all its Space-time dimensions and isomorphic planes: ∆±4=SpxTƒ. And it allows to study its ∆-4, motion, ∆-3, information pixels, ∆-2, energy quanta, ∆-1 seminal seeds, §10≈û+1, social scales, ∆+1 super organism, ∆+2 world and that’s about it. We do not really care for its ∆+3 galaxy (-: and beyond.   And so now that we have it almost all said, we define the ∆ST structure of the being, with its specific generator equation in which the whole is represented, with all the previous data. This generator equation completes our understanding of the being.

 Metric: According to the co-invariance, Sp x Tƒ = K, smaller, faster vortices of quark-mass are ‘faster’ ‘time clocks’ than bigger Sp-electronic charges, attracting more, since mass is an accelerated vortex of gravitational space-time (Einstein’s Equivalence Principle between mass & acceleration.)

6th Isomorphism: Organic cycles (motions in time) and social classes (hierarchies in space)R: Ξ±3

The brain of the atom is the informative quark, which controls it with in-form-ative gravitational forces, its body is the electron nebulae, its energy, the forces of gravitation.

7th Isomorphism. Existential Constants: ∑S, ∏T, SxT, S/T, T/S, Œ∆±1, 5Å.

The most developed field of atomic physics is the quantitative study of its Constants of space time energy and information.

8th isomorphism. Creative diversification: 1,2,3,4.

100 different atoms exist, according to those constants. The binary element is the n-p duality of ‘dead’ and alive atoms, which act as dead wood in forests, sustaining the ‘active’ 0 x Ø, proton-electron system (beta decay duality). So the bigger the atoms are, the more wood/neutrons they need. The entire field is highly mathematized, and needs merely to add an organic interpretation of its equations.

6th Isomorphism:  Types of particles & Social classes: Ξ±3

We show now the processes of creation and diversification of a given species. We study its gender dualities and its topological varieties caused by Sp,ST,Tƒ differentiation:


In the graph, the duality of Spe-Fields (bosons); ST-electrons and Tquarks and the 3 ∆±1 families create the fundamental particles of the universe.

Then we find its internal hierarchical social class structure and exchanges of energy and information among its ∆±1 ‘willing’ scales (the cellular/atomic ∆-1 plane, the individual and ∆+1, social/cosmic plane, where the being exists and which remains co-invariant through its inter-actions. So we analyze the closest world around it, through the perpendicularity and parallel laws of Non-Euclidean geometry’s ‘3rd postulate’ of similarity.

7th Isomorphism. Existential Constants: ∑S, ∏T, SxT, S/T, T/S, Œ∆±1, 5Å.

Next, we study the system quantitatively, through its Constants of Action, its Social Constants and its Space-time symmetries, all of them determined by the ratios of exchange of energy and information between its PSD elements. This is the most mathematical detailed analysis after the qualitative understanding of all the elements of the being.

8th isomorphism. Cyclical motions. THE MOTIONS OF ATOMS ARE CODED BY QUANTUM NUMBERS, and so there are the ±4 quantum numbers, along inverse directions of its dimensional trajectories.

9th isomorphism. Social scales. §10

Atomic social scales are based in 3 languages:

  • The inner language of strong forces up to 100-1000 range of particle societies.
  • The outer language of electronic valences, up to millions, emerging into ∆+1 molecules.
  • The spatial language of geological, magnetic field up to quintillions,  in which crystals can reach atomic numbers unlike any other organic system known into the Universe.

Finally we consider the last phase of its evolution which is social – for the most advances species, which transcend into a higher ∆- plane of existence through §10=(3×3+∆)¹° scales.

10th isomorphism: Self:  Œ-Point x ∞ World = Constant mind Mapping

finally we can describe the whole through the 10th isomorphism, ∆, where all the parts come together. It is in fact the complementary isomorphism to the 0 (mind) and 1 (generator of symmetries), as the whole is perceived by the mind and it encompasses the understanding and guidance of the whole territorial structure of the being.

Quarks, their Œ-points perceive gravitation, positioning the atom with its ‘mass’. Crystals in its ∆+1 molecular scale are Œ points with a clear dual Tƒ, informative topology.


Observational hazzards: uncertainty of max. ∆-|x| scales.

Physical sciences are concerned strictly as a ‘stience’ of the space-time scalar Universe, with the smaller and larger observable scales, ∆<|2|, which are those in which quantum and gravitational laws dominate the spectra of species, the particle and atomic scales.

Philosophically the most important question arouse by physics, is why from the scalar perspective of human beings, the smallest scale (atomic scales) and the largest one observable (galactic scale) are self-similar? It is this an objective fact, or a subjective fact derived of the loss of information and selective deformation of the ∆o relative ‘human observer’?

Of course in the scalar Universe the same laws apply in all scales of stience. So physical principles, which are ultimately deducible from the 10 ∆symmetries, apply also to many other physical systems. The epistemology of stience requires in fact that since stience is ultimately the perception of a super organism of any scale of the Universe with a biased distance in time and space, or human perspective on it, such as:

Similar sciences ≈ ∆o±st (plane of the given science).

Meaning that systems at a similar distance in size and time of man above and below in the scales of the 5th dimension (such as the atom and the galaxy, the cell and the nation, the insect and the robot) seem to us similar in laws and forms, while being ultimately super organisms.

So humans see atoms and galaxies in similar fashion and we shall unify them with simple equations.

Astrophysics therefore is the stience of the ∆±3 scales, astronomy proper studies the galactic super organism, ∆+3 and physics proper the ∆-3 atomic organism.

Again here we differ given the ‘added rigor’ that the correspondence between planes and stiences requires, from the lousy philosophy of scientific names of the present human classification of knowledge. So the next scale, that of the molecule will obey physical chemistry but will become strictly, the realm of ‘chemistry, the science of the ∆-2 scale.

If we consider the ‘absolute’ decametric scale, used in this 3rd line more for reasons of ‘wordpress’ programming (to make above a nice series of 1,2,3 etc.) and as it is simpler to understand, then we shall call this first perceived scale, fully functional, the 2-atomic scale above the 1. light-electronic scale studied by metaphysics, not only by physics – as it requires analysis on how the mind perceives light, how perception influences physics and even beyond develop epistemological methods of veracity regarding metaphysical theories such as string theory and the evaporation of black holes of which there is no evidence whatsoever.


Atoms are superorganisms with 3 topologies: Œ- points of informative quark masses, a toroid body of gravitational and ¥ networks of information and energy, filtered by its external membrane – the electrons that store dense photons, cells of their body nebula. Atoms  evolve in 3 species, with increasing information-mass: ud, sc & bt-quarks.

In the graph, the atom as a super organism, made of 3 topological regions, Spe (territorial field) > ST (electronic nebulae) > Tiƒ (quark nuclei), with 3 variety of species, of growing Tiƒ mass (I, II, III family of masses), and structured in 3 relative ∆±1 scales (particle, ∆-1; atomic, ∆; and molecular ∆+1 scales).

In that regard, the quantum laws of physics which study the previous generator equation of physical systems, describes the 3 levels of atomic physics in which the same laws determine the regularities between the scales and topologies and ages of those particle-atomic-molecular ‘worlds’. In the next scale, the thermodynamic scale, the same set of laws based in temperature, will rule physical matter structures. Quantum and thermodynamics are thus similar in its fundamental postulates, albeit the great uncertainty regarding direct observation of atomic systems have made the issue of interpretation of quantum equations somewhat controversial, as the chosen abstract interpretation, the Copenhagen model, is not the most realist. Instead, we consider that the original De broglie->Bohm, model with its ternary elements, the pilot wave-field and its guiding equation synchronised to the internal informative clocks of the particle which form together a past>present system of entropy-information and the intermediate energy-body wave, is required for a fully description of quantum mechanics as it is.

All this said, there is no so much mystery about quantum physics, whose laws are the same fractal laws of emergence and normalisation of ensembles of smaller parts that become wholes, organised by flows of energy and information, whose action-networks define the social structures and growing scales and domains of all quantum systems.

What will be then the most accomplished theoretical task of GST in formal terms, regarding quantum mechanics? Merely the conversion of all its equations and lemmas to the deterministic, implicit interpretation of Bohm, and the study of its equivalence with thermodynamic laws.


The 3 elements of the fractal paradigm: 5D Space-time.

So in space, the new complex ternary principle is the co-existence of 3 parts that form a whole.

In time, the new complex ternary principle is the co-existence of 3 space-time ages and its complex causality: Past-entropy->Present, reproduction of ExI->Future-Information << Past-entropy (Death)

And finally in 5D the new ternary complex principle is the co-existence of 3 scales of space-time together, with growingspatial size and diminishing speed in its time cycles.

5D physics thus is based in the 3 elements of the fractal paradigm:

  • The rediscovery of cyclical time clocks, a concept, so obvious in Nature and the systems of time measure, which in the Eastern world was the basis of its religious philosophies of the Universe (Taoism and Hinduism) and in the West was natural to the Egyptian, Babylonian and Greek tradition, followed by Leibniz and his concept of relational space-time.
  • But time cycles break space into an inner and outer reality. So the Universe is also made of ‘fractal, vital spaces’ (the entities we see all around us), which lasted a finite time cycle (its cycle of creation, evolution and extinction).
  • Finally, those cycles are ordered by size in space and its opposite speed or frequency of its closed cycles, into a new 5th dimension with a generic metric: Spe(spatial size) x Tiƒ (time frequency) = ∆ (Constant).

That is smaller systems run faster informative cycles, and larger systems are slower. Yet the product of both parameters remains invariant, allowing travels through the 5th dimension, of organic nature.

But perhaps the most strident ‘simplification’ of classic physics is the fact that of the 6 organic motions of the Universe, physicists only seem interested in describing the simplest of them all ‘locomotions’. Such state of affairs that reduces and eliminates all organic motions of physical systems is the biggest handicap to complete the science of physics, so we shall end this introduction with a deeper analysis of that limit.

The 6 motions of time. An organic Universe with mathematical and biological properties: The why of physics.

‘Using a term like nonlinear science is like referring to the bulk of zoology as the study of non-elephant animals“.  Ulam6-blind-men-hans

In the graph, a bunch of physicists studying ‘ non-lineal elephants’  (: physical super organisms tracing world cycles :), as a sum of isolated properties, all of them imagined with abstract, Hilbert’s axiomatic method of categorical mathematics, far removed from the non-Euclidean, non-Aristotelian structure of the Fractal Universe. In essence, physicists, reduce the 6 motions of the Universe, represented here by 6 blind physicists, into a single one, locomotion, unable to integrate them into a ‘world cycle of existence of physical systems’, which in nothing differs from the 6 organic motions of all other ‘living systems’.

It is a remarkable fact that mathematics do reflect a lot of the properties of the Universe, but it has so far failed to explain organically its structure, despite the breakthrough of fractal mathematics.

The reason being that mathematics as a language, has not completed its evolution. And so the first step to be able to describe all the properties of physical systems is to evolve its main language, mathematics, and adapt it to the organic, fractal cyclical space-time structure of the Universe and its scalar nature.

It is precisely this incompleteness of mathematics, the language of physical sciences the main reason why physicists do not understand fully the organic Universe.

As they still work with Euclidean mathematics, where points are not fractal points made of parts that become evident when we come closer to the particle, cell or star that seemed to us a point at distance. Only Einstein managed to apply properly the concept of a fractal point, by asserting that infinite parallels cross a point of space-time. We shall then find easily that points are fractal points with inner energy and form, information, joined by line-waves to other points forming networks, co-existing in several scales of size, which is the very same definition of an organism, and that everything in the Universe is indeed, a network-organism… as we show in the graphs of fractal networks all over this blog.

Yet if a mathematical system is organic by the very definition of a number (a group of undistinguishable beings), of a point (a fractal system, larger the closer we come to it) and a plane (a network of fractal points joined by flows of energy and information), why physicists do not model organically its systems?

Why physicists do not understand the fractal Universe? if it is so much up to their alley – after all it vindicates and further evolves the logic-mathematical structure found by Leibniz, Einstein and Planck. It merely takes it further with the advances of fractal geometry and the completion by this writer of the postulates of non-euclidean geometry that defines a 5th dimension of scales of space-time.

I found in the conferences I used to give at Silicon valley, during my tenant of the chair of duality in the international congress of systems sciences that physicists could grasp the fractal concept mathematically and the existence of scales of space, but 2 taboos were absolute: lineal time, the time-clock of its standardized machines and the model of the universe as a machine instead of an organism. So it was the mechanical civilization, and the source of physicists’ power and wealth – the machine, what was the taboo that could not be broken. Physicists does had a religion of the machine, not of the physical Universe. And as long as this was not discussed other things could be explained. Since the founding fathers of physicists had in fact started its sciences measuring time with clocks.

Thus, the answer to the limits of physicists is cultural, not scientific, as most physicists belong to the western, lineal, military culture whose memes are not easily recognized as such, but considered lineal weapons and lineal time, dogmas of their worldview; as opposed to cyclical time. It was of course an outdated dogma, deist in origin, as a machine needs a maker and Newton and Kepler affirmed yhwh to be the maker of the Universal machine and they, the ones that were revealed this truth. Most physicists do not realize of this obvious fact: only an organism is scientific, self-reproductive without need of a god-maker.

Further on mechanism and abstract, simplex mathematics as its language puts the physicist above all living and humans, as the priest of the new image of the Universe and only master of its language. So mechanism and abstract maths is a self-serving proposition, for the human and physicist ego, since only human anthropomorphic beings had ‘living properties’.

But of those memes by large the most powerful barrier for physicists to upgrader their model of the Universe is mechanism, the power they obtained historically from the use of machines and the evolution of lineal weapons. It means most physicists will never abandon their theories of lineal time, their theories of a Universe molded as a machine, and show no interest for general systems science. Does it mean we have not to show interest for the physical world? Of course not.

Because the physical world does not belong to physicists. In that sense it took me a while as a system scientist to realize that the human expert or scholar an its upgrading to the organic fractal paradigm was not my job. My communication was directly with the Universe. And only then, once I left behind my problems with physicists, in their worldly religion, to make weapons of lineal energy that destroy life and their related idol-ogies – lineal time, continuous, abstract, Cartesian space, denial of organic or perceptive properties to anything but anthropomorphic life, etc. I did truly enjoy for myself the view of the organic Universe of matter.

It is important to understand this difference, specially if you are not a physicist – as you should leave behind your shyness, to feel the life of the material Universe and accept that matter is organic also and nothing differentiates in terms of quality, a human vital fractal organism of space-time from a particle-head/wave-body of physical matter. This said, it is unlikely that physicists will find of interest most of the sections of this blog, except those on the 4th line, when constructed by the year 2017, for the very obvious reason that ‘the (organic) why is the only question physicists don’t ask’ (Feynman), and so they consider only descriptions concerned with mathematical measure and its how (motions and forms of particles and physical systems), as proper of their science.

A simple example will suffice. In GST the duality wave-particle, equivalent to the duality body-head of biological systems is self-explanatory. As all systems have a reproductive body, guided by an informative head, which moves thanks to lineal energetic limbs, all physical systems have a particle-form, often found, as in light waves on top of the wave-body, or higher point to focus information over the lineal field that provides its energy of motion.

Yet, this explanation is organic, regardless of its quantitative measure regarding the value of the energy, the speed of reproduction of information of the wave and the position of the particle. Physicists however to my surprise during my period of conferences were not interested, on this why to the 100 years conundrum of the Principle of Complementarity of physics. For them, it was simply outside the realm of their research as organic, biological properties of Nature, are not mathematical, as they use to explain such bio-logical, logical, in-form-ative characteristics the logic-verbal language of man. 

Still, to make more amenable to physicists those posts on physical systems we will use extensively topological varieties to define such organic ternary structures. Since in a Universe of a single space-time sheet of 4 dimensions there are only 3 possible topologies, the lineal field/hyperbolic wave/spherical particle system we just explained can be considered a full topological system that combines the 3 topological varieties of the Universe into an organic form:

Spe (Lineal -field/limbs) < St-hyperbolic wave-body > tiƒ (informative, cyclical particle/head).

In the graph, the 3 components of a physical, quantum system, the particle, the wave and the lineal field over which it moves. Lacking a real understanding of the 5D structure of the Universe, physicists can only describe the mathematical how of the process with the quantum wave equation of the graph and its visual depiction as we observe simultaneously the particle-head guiding, ‘piloting’, (right picture) the reproductive wave-body that moves, extracting energy-motion from the lineal field, which is expelled on the back of the wave. All this is described mathematically but we do interpret it also organically. As physical systems do have as all other systems both, topological and organic properties, following in its form the 3 canonical topologies of the mathematical language, and co-existing in 3 relative scales of reality as ∆-1 fields, ∆-waves and ∆+1particles.

So this intermediate jargon, topology, which describes forms with motions is the most often used in the texts of physical systems – here in this introductory post at a very basic level. In the 4th line with a professional jargon and a wealth of algebraic notations.

However it is impossible to understand the physical Universe without whys. Perhaps the most clear example is the galaxy, which must be modeled as a cellular, organic system of creation of black holes, surrounded by a ‘protein-like’ halo of heavy dark matter (likely to be strangelets), and has between this protein membrane and its center DNA-black hole star mitochondria that reproduce their atom and feed the reproduction of black holes. The meaning of the galaxy thus is organic and without accepting organic properties to matter it will never make sense.

We can however provide to physicists a mathematical bone in the same theme: an unification equation based in the simple 5d metric equation of a time vortex that unifies atoms and galaxies as mathematical point-particles of the largest and smallest scale perceived by man. It is then a galaxy a large atom of a new scalar Universe, or it is an organic galaxy?

Here is where another huge conflicting philosophical difference between fractals and continuous space-time as the one used in physics reveals itself: in physics of exact measure, things can only be one thing. In the fractal Universe it all depends on the perception of the perceiver and the scale from where it perceives.

So ‘entities’ are several things at the same time depending on perspective and language and properties we analyze. From the point of view of mathematical 5d metric, atoms and galaxies are two time vortices of information of 2 different scales. From an organic point of view a galaxy is similar to a cell, but I bet you that if we had enough information about the nuclei of atoms and the interactions of its gluons and quarks, which we pretend to know by reducing its properties to a few mathematical statements, atoms will show also somehow an organic cell-like nature.

Yet at the same time, fractals are never equal in scales, so the galaxy is Not really an atom, nor a cell but we say it does have mathematical, fractal properties that accommodate its parameters to the fractal generator of space-time systems, and it has reproductive, organic, co-existing scales, organized by networks of gravitational information and electromagnetic energy that resemble those of a cell.

dark macrocosmos

In the graph the ‘gala cell’, an organism of stars, joined by a network of ‘nervous, gravitational information’, composed of the 3 relative families of mass, of increasing density, which act as the ‘DNA-informative centre’ (top quark stars, aka black holes, as top quarks are the only ∆-1 ‘points’ with the same density that black holes ), the protein, hard membrane (strangelet halo of dark matter – Witten hypothesis), and a visible electromagnetic network of ‘stars’, the energetic mitochondria that becomes the food that reproduces both strangelets and black holes. It is a simple organic scheme that explains the whys of physical particles, and the ternary structure of galaxies, similar to that of an organic system of the Universe. Yet such models are not even explored by astrophysicists, as they are based in organic concepts, which physicists by ‘dogma’ cannot accept.

A galaxy is thus the fundamental particle-point of the largest scale of the Universe we perceive, which has the same organic, vital, mathematical and also perceptive properties – as black holes do have erratic animal like movement in their motions through their feeding star processes and social gathering into swarms in the center of galaxies, and in fact, its equations reflect those of the plane of starts it controls but with a higher dimension (Maldacena conjecture).

So alas, if RNA must perceive chemically the cell, black holes will likely perceive gravitationally the galaxy. But those are all questions physicists will never consider, as they are ‘meanings’ that cannot be expressed like evolutionary theory, or the logic structure of fractals, in mathematical only terms. So we do confront a religion of mathematical Pythagorean physics started by Kepler and Galileo who affirmed the language of god, and hence of physics is only mathematics. We shall find that human physics, as the most primitive of modern sciences are full of such biased limits, which are not even recognized.

So all in all these posts will have less interest for physicists than for polymaths interested in understanding the whole. Yet as we lay down the main whys we shall latter on enter into the hows and mathematical formalism, translating too, key concepts and equations of thermodynamics, quantum physics and relativity. And clarify all the spooky facts of physics, from the complementarity particle-wave (trivial, just the informative and reproductive parts of a physical system) to the renormalization procedures of mathematical physics. It is not though of much interest to the blog to innovate further into what really physicists think is all about – mathematical equations in which to fit physical properties not yet tabulated. There is little here to add though to the extensive work of physicists, nor we do have any intention to enter into detailed analysis of new physical phenomena or ask for new experiments, let alone design better, more organic machines.

Our purpose is merely to show that with the 10 isomorphic sets of laws of GST we can fit most laws of physics and provide the whys to all the fundamental physical structures such as the particle-head system to which we shall add the entropic, lineal fields that feed them with energy (or in thermodynamics the equivalent gas-entropy/liquid-reproductive/crystal-perceptive ternary elements).

So we shall not concede to physicists any of their dogmas against the organic paradigm. We affirm and shall show that all the organic properties of all other species of the Universe translate to physics; that when a particle, quark or electron absorb energy reproduces into new quarkitos and this process is in nothing different from a reproductive process of a biological or memetic, technological system.

Physicists in that sense are the most limited of all scientists due to the primitivism of the founding fathers, the first modern scientists, still filled with anthropomorphic deist theories of reality. Thus, by extension what passes today as physics is the most limited of all the disciplines of science in its philosophy – obviously not in its details, because of its acceptance of the 3 reductionist a priori statements of classic, ‘biblical’ XVII century science: mechanism (the machine not the organism as the model of the Universe), Pythagorism (mathematics as its only language and hence only mathematical properties matter to mater) and anthropomorphism (living properties are reduced to humans and life).

The result is the general ignorance of the Nature of non-lineal elephants – physical systems with vital and informative properties.

Those properties, which are the fundamental isomorphisms of physical systems are similar to those of any ternary fractal system of the Universe, built with a gauging point of view (particle, atom or charge or mass), described by the isomorphism of the zero-point of all systems, which commands a vital body-wave and an entropic field, which together create a physical system (2nd, 3rd isomorphisms) that goes also through 3 ages=states of matter, (entropic gas, balanced liquid and informative crystal) born of the integral sum of multiple minute space-time actions happening as interaction between the particle-points of its fractal structure through 3 scales (∆-1 atomic, ∆-thermodynamic and ∆+1 gravitational scales) (4th, 5th, 6th isomorphisms).

Thus physical systems are as all other systems guided by a central point of view, which is  a temporal, informative system of clock-like ∆-1 particles, molecular, ∆-charges or ∆+1 masses, (accelerated clock-like vortices of logic time of each scale). And do have both, gauging, informative and organic, scalar properties, regardless of the refusal of physicists to incorporate them, because of its bio-logical, non-mathematical description.

Thus we write also for physics a ‘Fractal generator’  of its physical space-time beings, with 3 ternary scalar, temporal and spatial symmetries (1st isomorphism):

∆-1 Spe (lineal Field-Gas) < ∆-ST (iterative hyperbolic wave-liquid) > Tiƒ (spherical, informative, particle/crystal)

Only then after studying the structural space-time dualities and ternary symmetries, defined by that fractal equation (1,2,3 isomorphisms); and its vital, organic, scalar isomorphisms, which describe the integral and derivative space-time actions of physical systems across the scales of the 5th dimension, guided by the zero-point, which stores the will and informative gauging of the system (0, 4, 5, 6th isomorphisms), we can then consider the 3 quantitative isomorphisms, which are explained with a purely mathematical jargon and will connect directly with classic physical themes and equations:

– The isomorphism that defines the Universal constants and ratio between the energetic, wave and informative ternary parts of the system (7th isomorphism), and departing from it, the 8th isomorphism, which studies all the variations of physical systems, and the 9th isomorphism that studies its social logarithmic scales of growth, as the mathematical societies of particle-points of each scale (∆-1, quantum particles, ∆-molecular matter systems and ∆+1 cosmic systems) grow in social scales, changing step by step their properties, to emerge into the new scale of the physical Universe.

So the description of physical systems is the same than that of any other system. Only the immense detail and obsession for exact measure that makes some equations extremely refined in its parameters, which often include by means of renormalization theory every other ‘scalar factor’ as an input of a lesser potency, would make so extensive in the future, the conversion of physical sciences to general systems. It is not however our tasks, which will consist in merely introducing those 10 isomorphisms, as we have done with all other sciences, in the description of its fundamental species. The only concession to the method of physics is a higher rigor as we will soon enter into isomorphic laws with a less descriptive introduction to physical systems.

The 10 isomorphisms thus will be the essence of all physical systems, and its events and ternary forms, as ‘super organisms’, co-existing in those 3 scales and performing world cycles as they mutate back and forth through its 3 states of time, assembles in space into ternary self-centered, vital spaces, surrounded by a limiting membrane (electron in atoms and molecules, event horizons in black holes, exospheres in celestial bodies, and so on), and reproduce/iterate its motions on lower scales of physical entropy.

We shall then be able to describe with the same 10 isomorphic sets of laws all the properties of physical, fractal systems.

And yet none of this is today envisioned or even imagined by our ‘blind physicists’ observing their Universe only with detailed but limited analysis of its parts with single spatial mathematical properties ignoring the invisible time logic of scalar organisms. The picture thus we obtain today of physical systems is very detailed visually but very poor logically. Can we take then a ‘logic’ picture of the whole physical organism? We can, easily using the Fractal Generator and its ternary symmetries in time and space.

In that regard, the backwardness of physics has its positive side as we can advance a lot of answers to pending questions of classic physics: For example, in the mentioned case of the duality between informative particles and reproductive waves, we can wonder the classic question of why we see sometimes a wave and sometimes a particle? Answer: because physical systems do have an informative particle/head that apperceives information in stillness and a body-wave, which reproduces its information as it travels and trans-forms the motion from an entropic field of energy in an iterating pattern equal to its ‘self’.

Of course, none of those answers will be accepted by blind physicists looking to the organic Universe with a lineal stick of time and a single plane of space. But as we said that is not our concern.

THIS IS THE POINT we want to reach after studying all the partial elements of physical systems, translate all the required concepts of physics. And then only then we will be ready to take on each scale and species and show that all of them can be described with those isomorphisms whereas its mathematical languages, will be showing us 5D Space-time beings performing 5 actions of existence.

So for example an electron will be perfectly defined as a 5D space-time being, with a ternary field-wave-particle structure, performing through its 4 mathematical quantum numbers, space-time actions of moving (principal number), feeding, gauging (secondary number0, reproducing (spin number) and evolving socially (magnetic number).

As it is the fundamental tenant of 5d physics that all mathematical equations of physics can be translated to show a description of a ternary physical system, one of its parts and one of its 5 space-time actions.

Now PHYSICS IS THE MOST FAR REMOVED description of the organic Universe because of its uncertainty principles (96% of the larger Universe is not perceived, and smaller systems become uncertain in measure), its abstract primitive analysis of lineal time and continuous space as a background NOT the reality of which beings are made, and the extraordinary detail of analysis of very small parts of the being. This is the essential reason, we do NOT understand physical systems in organic sense, as the graph that opens the foreword shows:

Physicists’ extraordinary detailed analysis of species lacks an organic jargon, a wider view of the whole system, and a desire to ‘see’ properties that are vital in the poor elephant of the graph. This denial is dogmatic.

For example, the most obvious fact – that quarks and electrons, the fundamental particles reproduce – IS STUBBORNLY DENIED, rising when I used to give conferences on the theme as the chair of the science of duality in the world congresses of systems sciences, and mention the theme, smiles among physicists attendants, and often the angry leave of some of them.

This is not the concern of this blog, but of the historical perspective on the profession of physicists, and its worldly deformations of reality in terms of lineal entropy, ego-human trips and power. I do NOT have the intention to yield truth to anthropomorphism or power trips. If a quark absorbs energy and reproduces new quarks, this is NOT a decoupling but a reproduction. And it is an organic action. If a magnetic field organizes as a mathematical language the spins of electrons to fit in harmonic wholes, this is NOT an abstract vector, but a social evolution through a geometric language, akin to the more complex but of the same quality, organization of muscle cells by axon impulses. And so on and so on.

Paraphrasing Feynman, ‘the why is the only question T.Œ asks’. ‘The thoughts of God, not its details’.

A further expansion of the concept of a worldcycle of time, is its analytic study with the 6 classic philosophical forms of motion, first expressed in Aristotle’s Organon. As in philosophy of science, prior to its mathematical definition time is synonymous of change and hence of motion in space, or change of form in time, giving origin to the 2 main sciences, physics, which studies time motions in space and biology which studies changes in form, in the information of beings through time. 5D physics fusions both concepts studying not only ‘locomotions’ in space but also ‘evolutions of form’ in time, which all put together give birth to the worldcycle of existence and extinction of all space-time beings.

So due to this expansion of the paradigm of space and time, in 5D physics we do NOT study only the external locomotions defined with a single time duration: v=s/t, s=ct of Galilean and Einstein’s relativity. We study and apply to all physical systems the 6 motions=changes of philosophy of science.

The so called 6+1  motions of time, defined in philosophy of science, since Aristotle are:

‘Generation’, ‘growth’, ‘evolution’, ‘diminution’, locomotion and extinction.

In classic physics only locomotion could be explained. Now all the motions can be explained as travels in the 5th dimension; so worldlines become world cycles, of which the most important is the sequential series of those 6 motions in a life-death cycle, which also applies to physical systems across all the scales of size, from the cycles of matter, from plasma->gas->liquid->solid->Nuclear fusion, to the big-bang cycle.

In mathematical terms, once we have clarified the origin of those motions, we use the fractal generator, in a simple ternary development to express those 6 motions of time, with an equation of ‘existential algebra’, whose detailed study and connection with physical and biological equations is essential to GST (General systems theory, the philosophical model or Space-time Generator, the logico-mathematical formalism):

œ∆-1 (generated seed of information in a lower scale) ∑œ∆-1>(Reproduction and organization into a fetus which emerges as a new born) Œ∆ <∑Spe (young, entropic age of growth and maximal locomotion) > S≈T ∆+1(adult, reproductive balanced age, when the system iterates and becomes part of a larger social whole) >Max. Tiƒ (3rd, informative, solid age) << ∑œ∆-1 (Entropic, big bang death, which closes the cycle.

Such is the general worldcycle of all systems of the Universe, as all of them are made of space-time, and follow the process of organic creation and dissolution back into spatial entropy.

It is the most important why of GST, which also applies to physical systems in time.

On the other hand, in space the ternary topological symmetry completes our description of the system, and in physics shows a larger regularity as most physical systems tend to have more perfect, lineal entropic, wave-hyperbolic and spherical, informative shapes. So we can often talk of a perfect topological ternary system:

Lineal, |-entropic field > Ø-Hyperbolic body-wave > 0-informative particle (time vortex)

Thus 5D Physics studies physical systems with a fractal, organic analysis of its ‘whole’ ternary systems, defining physical entities as fractals of space-time similar to all other ∆ST super organisms, extending through 3 relative scales of the 5th dimension – the quantum, ∆-1, thermodynamic, ∆ and gravitational ∆+1 scales, tracing world cycles through the 6 canonical motions of all systems, generation, locomotion, growth=reproduction, evolution, diminution and extinction.

Lee Smolin – that rara avis who truly cares about philosophy of science, among physicists and does have an organic, evolutionary theory of black holes, albeit off target as all cosmological physics is – published a curious book called the ‘problem with physics’.

Now I do NOT have a problem with physics, understood as the study of physical systems, of inorganic matter, small atoms and large galaxies. i DO love physics, in its full conceptual analysis of those elements with the isomorphic methods. I DO have huge mental orgasms, the largest ones, only compared to those i have gotten on the study of human artistic forms and its creation with my knowledge of the symmetries of 5D fractal space-time cycles (as I can’t create new particles but I can paint or write symphonies and think as Master Ludi in an Utopian Castalia world).

In that regard the symmetries of the physical world are indeed as Pythagoras and Plato thought of them similar to the processes of linguistic, human mental creation bridged through the mathematical symmetries that mirror the Universe, without the painful realization of the human failure to create the perfect social world.

And so I consider, economists and physicists as the two scholar groups more corrupted by power – economist by money and physicists by their worldly profession – making weapons and thinking on lineal entropy theories of the Universe. We however dealt with that issue on the central posts, on my activist web against the Nuclear industry and on the post on cosmology. So here we will be strictly concerned with pure science, with the whys of physics that physicists do not ask – in parallel with their abstract, mechanist, ‘dead’ vision of the Universe.

Why? Plainly speaking because as Feynman put it, despite being one of the few physicists that did actually wondered,  ‘the why is the only thing physicists don’t ask’.

So contrary to belief, physics is the less ‘explained’ of all sciences in its ‘whole and reasons’ , since the whys to resolve are almost all. And yet, the hows are so well described that few realise how little whys have an answer in physics. For example, why there are not magnetic monopoles? Why particle are waves? Why electrons collapse when we observe them? What is time beyond Einstein’s dictum – what a clock measures, or Galileo’s formula of motion – v=s/t? And so on and so on. We will then consider Physical whys as all the other whys we study – through the 5D symmetries of space-time  that physical systems also follow. And affirm that the reason ‘why’ physicists do not understand them is their ‘anthropomorphic ideology’. The problem plainly speaking is human incapacity to give pantheist qualities to the Universe. Once this is accepted, quantum paradoxes, the meaning of Universal constants, particles and forms fit all within the structure of the Universe and its organic, 5D, causal, temporal, mental, linguistic properties of other beings.  Ultimately physicists find harder to accept those qualities because of the ‘O-bjectivity’ error: as physical systems are far removed in form and distance from human beings, it is harder to consider that an atom is self-similar to a galaxy, or that an electron apperceives light when it jumps over it or reproduces when it decouples.

Or that the magnetic field we just mention does have the same role that any other membrane on the particles and physical systems it shields.

The generator equation of electric fields.

If we consider the electric current described by the Maxwell equations, the U∆+1 upper, social scale of the electron, then we can consider its first law, the definition of Tƒ, electric charges, the point-particles at the centre of the system; the second law the definition of the magnetic field as the Se, membrane that surrounds the 0-point charge, and the 3rd and 4th equations as the reproductive interaction of both, which induce new magnetic, electric and electromagnetic waves. So we can easily define the Spatial generator with those 3 laws  that ad on to create the charge point-particle, magnetic membrane and electromagnetic waves between them:

Γ.  Se (Magnetic field) < ST-electromagnetic wave > Tƒ-charge

It follows that as the membrane of the ‘organic system’ of electric charges, the magnetic field does NOT have a point-source because its function is to be a membrane, the point is the charge, ‘point’. So happens in the smaller atomic n-1 scale and the larger ∆+1 material scale of planets: the magnetic field protects them, it is the membrane, ‘point’.

Now the answer,  as in so many whys on physics is a trivial response if we USE the linguistic method and add to the analysis of mathematical physics, the organic properties of 5D energy-information asymmetries and co-existing planes and fully understand the world cycles and spatial, organic structure of all those physical systems, and what is more anathema to anthropomorphic humans – the existence of a Point of view, or Tiƒ-center in all complete physical systems (charge, mass, center of gravity, crystal cell) from where the space-time cyclical actions of survival of the physical system (∆±e,i, U) depart.

Thus in 5D physics we consider an inverse methodology to explain the facts of physics, as in all other systems, departing from 5D-organic analysis, through the generator equation and its space-organs and time ages, to finish with the analysis of actions departing from the Tiƒ point of view, to add then the study of the Se/Tƒ, Tƒ/Se, Se=Tƒ internal constants and external constants between the œ and the bigger word in which it absorbs and emits energy and information, to end up studying with those constants and space-time symmetries the different subspecies (social classes, dual and ternary diversification and social scales of the system).

Nothing in that sense differentiates physics from any other isomorphic science. So to the point, why there are no monopoles? As many other bizarre particles, axons, wimps, evaporating holes, Susys etc. mathematical physics provides with its inflationary information (studied in our analysis of the 3rd age of a metalanguage) no criterion to distinguish them. This in the age of ‘dark energy and dark matter’ makes ALL possible, as we do not have criterion of selection when ONLY mathematical physics is accepted and no-evidence exists for it, means we shall FOREVER have fantaphysics.

Yet if we accept T.Œ there ARE rules of choice – Darwinian organic rules of balance and survival that make certain particles impossible beyond its virtual mutational moment, Hamiltonian≈ages of min. and max. standing points (which do apply to physics and at least physicists do recognize), inverse rules of chirality, parity related to the duality and ternary ages of space and time (which explain antiparticles) etc.

Now, this is the stuff of  5D Physics to give you through the symmetries of space, anti symmetries of time and asymmetries of 5D scales the whys of ALL THE EQUATIONS OF PHYSICS. And because there is hardly any why, unlike other fields better explained (the why of biology being mostly Darwinian evolution and the informative coding between scales genetic, and so T. Œ brings what is NOT explained, the eusocial evolution that creates organisms and the topological plan that allows punctuated evolution and the different speeds, and the structure of species as slower super organisms, ok, a lot too, but not so much).

There is then the beauty of pure mathematics, pure symmetry, the unfolding of all the beauty of the ® mathematical formalism of T.Πwhich only surfaces so clearly in physics.

So the intellectual bias and deformation introduced by physicists and their military worldly pursuits and its anthropomorphic point of view with 3 clear wrong theories:

  • Entropy=chaos as the only arrow of future universal death couple with its big-bang theoretical dogma of the Universe as an explosive birth (big-bangs are by definition as entropy is, the arrow of death of a system, which occupies a minimal quanta of time, hence in time terms the less durable, less important arrow).
  • The belief that the Universe is mechanical, as their machines, hence only having mathematical properties, and no freedom or organic, sentient and causal, logic nature, which reduces enormously the structures and actions they study, eliminating thoroughly the synthesis and larger worldview provided by an  organic vision of systems through its 3 x 3 5D ST symmetries.
  • Finally,  the astounding amount of money and neurons dedicated to research on the lower scale of particles, to foster the Nuclear and electronic, industries. And the consequent ‘belief’ that the ‘lower scales of reality’ matter more than the human scales; as the eschatological origin of it all – a concept reinforced with the  spooky interpretations of its mathematical equations, as a ‘proof’ that this lower quantum scale is ‘different’ and essential to the meaning of it all. This is not the case. Einstein was right: quantum physics do not differ from other scales. The human observer is limited by the distances on 5D scales, and so the difference is in the observer not the observable. Its symmetries are the same than any other 5D space-time being, when we apply the metric of the 5th dimension to those scales. And being size absolutely relative, its diminutive form matters not to apply organic, mental and logic, temporal symmetries to particles, which as we have shown in the previous post might be in fact galactic atoms of an infinite 5D scale.

And yet the privileged status of physics in sciences is rather obvious,  because of the mechanisms and weapons they provide – a theme however to be dealt in sociology when considering the meaning of machines, its twin top predator weapons and the wrong path mankind has taken in his no-way out future, by rejecting his own nature – the tree of life, and worshipping the tree of metal.

Finally to notice that as this is the 2nd line of T.Œ for all scientists to understand, we shall not use the more complex mathematics of quantum operators and general relativity but rather explain it conceptually since it is obvious that professionals do not need further mathematical analysis but the understanding of their models, and non-specialists nee to understand those physical systems in its ‘why’ not its mathematical details.

Further on, the lack of understanding by physics of their whys owes a lot precisely  to their  mathematical-only  analysis, which only professionals understand, a short of ‘experts’ Latin that as the popes in the Middle Ages that claimed to have the monopoly on  the contact with God has limited enormous the understanding of the ‘logic of God-the mind of the Universe’, which is as Saint Augustine put it, of a higher degree than the one humans and physicists use (Aristotelian logic).

So indeed the key to understand the whys of physics is to upgrade its concepts of time and space and study with 5D symmetries its particles, fields and events.

All this makes difficult to explain 5D physics to physicists; and use the isomorphic method and the space-time 5D symmetries which are the ultimate whys of the Universe.

And it requires even before we attempt to define magnitudes like mass, time and distance, or simple equations such as those of mechanics, and then those of light, thermodynamics and electromagnetism and relativity (we won’t do much on quantum, as there is no way to simplify enough, but merely do the conceptual analysis), to do a bit of ‘conceptual talk’.

Unification of energy-motions from above, of information from below.

For example, and this is an absolute key element on physics, the 5D asymmetric arrows of information that grows downwards implies that THE SMALLEST SCALES carry more ‘genetic-quantum information’ and so WE CANNOT UNIFY reality on the simple ‘dogma’ OF PHYSICS that there would be a single particle of God or something similar. And this explains also why quantum is SO COMPLICATED as it has to DESCRIBE an enormous number of ‘ensembles’, hence use ‘functionals’ (functions of functions) and ‘probabilities’ and ‘multiple stories-paths’.

Unification does come the other way around from the larger, simpler wholes, but not with the single time-line entropy arrow of the big-bang. In fact the only truly unifying principle of Physics, which is Energy (akin to the whole time motions of the Universe, conserved in the immortal 5D structure), that integrates the relative spatial steps of momentum, into a whole envelope, and moves along all 5D dimensions, come from above. It is NOT a quantum principle, but in the wider 5D model:

“All what existed are knots that communicate and transform its spatial energy and temporal information ad eternal: ∑ Se<=>Tƒ, across adjacent planes of the 5th dimension, according to its co-invariant asymmetry, Max. Se = Min. Tƒ, which makes information but not energy flow upwards with no entropy, from faster, smaller Time clocks, and motion but not information, downwards, with no entropy from larger wholes, with no entropy  “

This ‘normalized’ principle of conservation of energy ads some relevant points to give a general picture of the principles involved in 5D physics:

  • It ads information to energy conservation and differentiates both, O and | dualities, and both Motion (Time & energy) vs. Form (space and information) in its definitions.
  • So we talk of angular momentum and its sum, potential energy vs. lineal momentum and kinetic energy as the 4 conserved parts.
  • We talk of Tƒ=Time and Tiƒ=Information and the motion still perception of it, and of Se-still space and Sp, kinetic energy as the dual still-motion perception of Lineal formal motions.
  • And we add the fundamental asymmetry of 5D, which explains the meaning of the 2 type of entropies (loss of ordered information moving downwards and loss of ordered energy moving upwards), which explains a lot of facts, from heat, to coordination of whole motions in mechanics (motion downwards), from genetics (information upwards), to the chirality of angular momentum that ‘ascends’ information, to the linearity of mechanics that descends motion, etc. etc. etc.
  • And all this we mathematize with ¬Æ simple equations, the  Feed-back equation for a single scale, Se<=>Tƒ, and the metric of the 5th dimension. And in this part is where for respect to the common reader, interested in T.Œ, we shall keep it simple. Thus we shall keep for the 4th line the rigorous mathematical analysis of 5D physics – the details.

For example, in quantum we are not going to argue the maths of the wave-particle duality just explain why the envelope of the dispersion wave IS the time function, which prompted quantum physicists to interpret it as a probability in time, while the same kind of equation without dispersion variability makes physicists to study similar waves as density in space. As it happens quantum has more time=information so yes, we do need to add to fixed waves time dispersion. But that does not mean we are seeing ‘probabilities’ as very serious Nobel prize physicists explain to common people.

Now going to the organic forbidden, why explanation, when you get a predator observer, the huge energy electron of the ‘nice abstract scientist’ bombing you NOBODY states on the wave-moving pattern, but do either the macho-man thing (collapse into tight circular formation so the chart-circle defends the caravan from the Indians) or the not-so cautious woman thing, disperse and run as fast as you can; so they won’t eat you up, that is ‘measure’, LOL; and that is the 2 maximal and minimal limits where the quantum wave goes. If you don’t bother it though it will follow its path of least action, Hamiltonian standing point AS EVERYTHING ELSE IN THE UNIVERSE DOES.

Further on, as the substrata of this galaxy is light space-time, the formal motion of which all is made, light space-time collapses into denser particles and vice versa, when an electron is in a free, not-tight state this dispersion dissolves the electron fast into light space-time, its photonic components observed in a nebulae picture. But this does NOT mean the electron is uncertain. It is just devolving back into the ‘water medium’ of its universe, once it is liberated from the quark pulling attraction. And its nebulae which is a picture taken in this universe, is NOT a probability neither a series of parallel Universes, but obviously the fractal cellular configuration.

So the electron as all physical systems have 3 ‘time states’ of increasing form, the field (wave spread into light space-time), the wave (around the nuclei) and the particle (in a flow of electricity or collapsing with a proton to form a neutron) states.

And all this is nicely explained here NOT with the complex equations of quantum physics in its 3 formalisms, the wave formalism (Schrodinger), the particle formalism (Heisenberg matrix) and the field formalism (Dirac-Feynman). What for? The 3 are right and any serious specialist in quantum physics, who knows them better than I do, could if he wanted to further evolve 5D physics get into the astounding number of details, enlightened with it.

Instead we shall just write the ‘general equation’ for all ternary time-systems of the Universe that defines its 3 ages:

Max:Se/Tƒ->Se=Tƒ->Max. Tƒ/Se

They are 3 ‘stationary points’ of the Hamiltonian for time-energy ages in physics, which represent the maximal point of energy-or youth ages (Max. Se x Min Tƒ: Max. Se/Tƒ), the point of balance in the classic age, Se=Tƒ, and the point of 3rd age information (Tƒ/Se).

So this simple equation define the field/gas states of quantum and thermodynamics, the wave-liquid state and the particle-solid state.

You see, if we used quantum matrix-waves-paths we could NOT even generalize the 3 time ages-states to the next upper scale of 5D physics, Thermodynamics; which now we realize uses very similar ‘canonical ensembles’ and ‘statistics’ akin to ‘probabilities’, in its analysis of its ‘entropic’ flows of energy upwards. So we can easily see we are considering two fractal similar realities.

But we stress once and again, the word ‘fractal’ as fractals are NOT identical. As we saw, the upper cosmic scales of galaxies look more as antiparticles than atoms, with more mass on the outskirt halo, even if cosmologists model stars as photons, and we showed the proton to have once normalized with 5D metric, to have the black hole radius.

In that regard unification equations are possible as we showed unifying charges and masses, BUT only WITH THE METRIC OF 5D because what we UNIFY if it has not been yet unified will always be because PHYSICISTS did not have this structure; and ONLY with the duality of symmetries of space-time (ITS AGES and TOPOLOGIES as we have done with the 3 ages-state of quantum and thermodynamic matter). IT IS THUS not EQUALITY but SYMMETRY in space, asymmetry in 5 D and anti-symmetry (inversion) in time ages – not Parmenides BUT HERACLITUS.

Plainly speaking quantum look like thermodynamics as ensembles of multiple point-particles but are NOT identical. Yet there is metaphysical question here, as to what is the ultimate cause of those differences – the human observer’s distortion of the way we perceive other scales that accumulate distortions as information cross them, or the real nature of the Universe?

This though is a question for the 4th line, last post on metaphysics and god, the mind of the Universe.

Recap. The difficulties to explain 5D physics to physicists .

The biggest difficulties of T.Œ is not Physics (the observable) but human physicists (the observer and its anthropomorphic ideologies and linguistic, mathematical-only method):

  • The distortion of information caused by the far away location of its two most studied present limits, cosmic physics (big bang theory, renormalized in the previous post) and quantum theory.
  • The use of somewhat simplified mathematics for all scientists to understand it in the context of a T.Œ, which by definition should have an ‘expression’ for all people to understand. This means to use more conceptual wording that mathematics, something physicists scorn with their ‘arrogance’ as Popes of science, who only speak Latin and only in Latin their wor(l)d must be expressed for none to understand its errors.
  • Which are many, mostly due to their wrong understanding of the 3 arrows of time (reduced to a single lineal arrow), a single space instead of its 3 topologies and a singe space-time membrane instead of the 5D structure of reality.
  • The sheer immensity of this, the first modern science, and the most evolved in a technological world based on the machines and weapons they construct, which makes difficult to be coherent and at the same time explain it all, a task I have given up, unlike in the posts of economics, history and biology, which are far more developed. So i will in this spring of 2016 focus on pouring information in this post and the parallel post on mathematics (U±∞) complementarity to it; once the other major social and biological sciences are fairly surveyed.
  • And finally because of this mathematical only expression in lineal single-spacetime, the denial of mental, organic and proper causal relationships, which makes physics as it is lacking on the understanding of its whole theories, despite its enormous detail on its mathematical how-description. Since quantum physics can ONLY be interpreted logically with the organic paradigm, to make sense of its maths, this is difficult. Neither the Copenhagen or the multi universe versions make logic sense, though the maths are good. The initial Schrodinger concept is the proper way, when we explain its time-space symmetries (why the treatment is of populations in space, not probabilities in time) and its 5D symmetries (why it is organic fractal behavior, as waves collapse into particles like all herds that move as waves and become tight particles when ‘bombed’ by huge observers, aka predators; why there is entanglement, as information travels in the lower, non-local gravitational space-time that connects particles at distance, as this text is NOT travelling to you by sound voice but instantaneous light speed, translated by the net)



THIS said, it is obvious that the first correction on quantum physics deal with the way we humans perceive fast cycles of time as pictures of space, because our slow time clocks see the entire life of a quark or electron as a single spatial picture of it.



Maxwell equations describe all the actions in time and forms in space of an electric field.

Now, the previous laws have 2  formulations that define the time and space symmetries of the system, which we shall study in more detail as we advance on this post.

In the previous formulation they explain the ‘actions’ electric fields perform (as always a differential is a shorter time description, or n-1 action, ∂a, e, i, o u; an integral over time or space is a larger description either the world cycle or the simultaneous space description of the being).

Thus in a geometric sense as ‘Integrals’ of ‘space’ they explain the Space symmetry of the electric system:

Se(Magnetic loop-membrane) <ST: electric wave> Tƒ (Electric point-particle charge)

1.Tƒ: The first Gauss law as the first law of gravitomagnetism does in gravitational cosmic space-time, defines the electric ‘informative’ attractive force of the electron, that is its action of gauging information in an spherical form, as the sphere is the topology that shrinks without tearing, allowing the electron to focus the information of the external universe. It does also allows to study the social structure of an electronic field in its static form.

It does define the central point of the Electromagnetic ‘species’ and allow us to configure once more the ‘electromagnetic species, in its Œn electronic form which is self-similar to that of the light species (wave form).

In it derivative action description it does obviously represent the informative gauging quantum time moments of the charges.

  1. The second integral defines the Se external membrane of the electric system, its magnetic field, telling us it does not sink in a loop. Does it is the canonical definition of an external membrane that surrounds the electric charge in a lineal flow or traces a larger loop through a cyclical electric field, acting as the ‘larger, external’ membrane or entropic element of the field. In its derivative version it represents the energetic action, defensive shield of the field.

3, 4. The third and 4th equations define the intermediate region, or interaction between both, the magnetic and electric field, explaining that both ‘reproduce each other’. It is thus the ‘body-wave’ element of the electric system, which is as always, a compound of interactions between both elements. In its derivative action formalism it does explain the reproductive actions of the system, as a varying electric field creates a magnetic field and a varying magnetic field creates an electric field.

And, further on, the 4th Maxwell addition defines the creation by varying electric and magnetic fields of an electromagnetic n-1 field of the lower scale, which is THE KEY law to understand the interaction of electric and magnetic field with is lower social scales, completing in this manner the description of the system.

The ∆->∆+1 interactions. 

It only rests to understand how ‘electric waves’ relate to the larger gravitational, thermodynamic scales. That is, how electrons collapse into the larger scales of mass (quantum wave collapse into particles), how they interact with gravitational fields (relativity description). What is the relationship between the n-electronic scale and the upper molecular, thermodynamic fields. But all those descriptions have been customarily analyzed from the perspective of the lower quantum or upper relativity theories, so it makes no sense to study them here.

There are no infinitesimals of magnetic fields? Why, simply speaking because magnetic fields ARE the membrane of the electron world, and hence are not point charges.

But by the antisymmetry of scale, we can find them at the cosmic galactic-atomic scale. This prediction seems to be confirmed with the concept of a magnetstar but requires further research.

In terms of classic mathematical physics they will tell you because it is an effect of relativity (4D metric).

In terms of scales I will tell you that it is because from 5D perspective, the magnetic field ‘brings’ as all membranes energy to the Tƒ-electronic point by connecting it with the upper gravito-magnetic field.

That is the magnetic field emerges in larger units, as membranes do (DNA is in your cells, the external protein membrane however dominates the larger skin). So magnetism exchanges energy and information, ±∆e,i, with the cosmic, gravitational field above the system.

And hence it is also the field that carries the social actions of electrons. It is the field which evolves socially electric charges into larger simultaneous, fixed spatial ordered whole configurations, both in the atom (magnetic social number that regulates the electron orbitals) and the electric flows.

When electricity though becomes ‘naked’ (superconductivity), it does expel the magnetic field (Meissner effect) to move faster taking off its ‘social structural’ membrane.

So there is another huge field (Physics is sooo large)-: The connection between the electromagnetic field, the magnetic social equations, and the gravito-magnetic equations of a weak gravitational field (Heaviside equations of gravity, which are essentially those of general relativity), which help us to understand how the arrow of motion travels downwards, from gravity into magnetic fields, the upper ‘crust’ of the electric field and how upwards the magnetic field of a mass organizes its spin and through the dragging effects fine tunes informatively the configuration of social systems.

But as always in those interactions at a certain level of ‘strength’ of the gravitational larger field magnetism disappears and the new force achieves its full classic configuration.

So the analysis of the perpendicular 5D interactions is as always an emergent process that brings us from:

-Electronic charges, into the emergence through social electric motions of magnetic membranes, to the emergence through massive moving charges of magnetic fields of planets and stars connected to the Gravitomagnetic fields – via Heaviside unification equations of gravitational space-time, and vice versa, downwards through Gravitomagnetic dragging effects, which induce rotation in smaller masses, which induce magnetic fields which induce electric fields which move electric charges.

So as always upwards information, form is created with no entropy and downwards, motion is transferred with no entropy.

The electromagnetic field is the ‘5D across planes’, field which brings us to the ∆o human pov the information of other planes, and in doing so it changes the parameters of its waves, ‘travelling across’ the 5th dimension itself. This little understood phenomena: the deformations light space-time suffers in its travel through 5D planes as it enlarges its time frequency cycles through the microscope is also a factor to be taken into account.

Why then there are not magnetic monopoles becomes clear, as in each whole, the infinitesimal is an identical, clone particle – cells in human organisms, electric charges in individual atoms. While the magnetic field is the ‘wrap around’ closed time cycle of the upper social scales of ∆-1 electromagnetic quanta.

Multiple Spaces-Times in Matter: Atoms & Molecules


In the graph, both in the quantum and cosmic world the geometrical inversions between Entropy and information and its perpendicular ST fields of motion define electromagnetic fields .

The holographic principle explains how bidimensional fields of Entropy and information come together, through perpendicularity to create 4-dimensional systems.

The perpendicularity of those fields is thus a key feature to create 4-dimensional world, and it is established by the general rule that the body will have a flat, energetic arrow of feeding and the head will have a tall, high diffeomorphic orientation, relative to the ecosystem of Entropy and form in which the entity exist.

If we consider those 2 inversions of form: lineal Entropy vs. cyclical information and flat vs. tall perpendicularity between Entropy and information systems, forces and charges /masses in the physical world, we can define many physical events as transformations of lineal waves and fields of Entropy forces into cyclical or high particles and cycles of information, whose ratios of transformation in each of the scales of the Universe are called Universal constants.

In the graph, the isomorphisms of electric and magnetic fields are defined by those relative perpendicular morphologies. The ratios of transformations of Entropy into form define some of their Universal constants: 2 perpendicular fields of magnetic Entropy and electric information define in Maxwell equations the c-constant of light, which in organic terms is the ‘reproductive constant’ of the wave of light, caused by the constant process of creation that the interaction of the magnetic, spatial body of light and its informative, electronic particles, cause.

All those processes ‘form’ the energetic, formless gravitational vacuum into electromagnetic shapes: The Maxwell screw defines a flow of Entropy that accelerates as its perpendicular, temporal vortex diminishes its spatial radius, increasing its speed; the Earth’s rotation creates a lineal flow of magnetism; while an inverse, lineal electric flow creates a cyclical, magnetic vortex.

In the graph, we can observe how the inverse properties of relative Entropy and information fields explain the why of many physical phenomena. If we add the dual structure of fractal space-time, roughly constructed by 2 membranes, our visible, Euclidean space-time, made of light and the invisible, larger sea of gravitation made of dark Entropy, with its wider Non-Euclidean topology, we can deduce all the isomorphisms of physical science and its whys with far more insight that quantum physics does.

Let us just indicate from the perspective of the whys of the arrows of time of an electron, as we did for light, some basic events of the electronic and atomic world:

– <=>: Reproductive, communicative cycles: They happen when 2 particles communicate through forces, made of small, spatial particles, called bosons, repeat their waveform in space with a reproductive speed that imprints over the energetic field of vacuum space the in/form/ation of the particle.

– Social cycles: Particles create herds=waves of moving space-time quanta (dynamic, temporal perspective) related by EXO networks (static, spatial perspective).

Social processes are all pervading in the Universe, from waves of bosons that sometimes come together into single condensates, to networks of atoms that become molecules or combined processes, such as waves of stars that form spiral galaxies.

Thus, waves and forces are spatial bosons that communicate Entropy and information between temporal particles, called fermions, either charges or masses. It is the so-called boson/fermion inversion, the fundamental equation of quantum physics:

T1 (fermion particle) < sxt (boson force) > T2 (fermion particle)

Existential=generational cycles: Again, we can adopt 2 points of view about particles. If we consider each particle/wave cycle a life/death cycle, particles have very short generational cycles. If we consider the next particle/wave cycle the same particle, particles are immortal.

In any case all those cycles can be summarized and formalized specific cases of the fractal, generator equation of the 2 arrows of time, spatial Entropy and temporal information: ∑∑ ∏Tƒ.

As we grow in scales of physical form, the nature of those cycles change slightly but the basic Entropy and information morphologies that define them are maintained. Since fractal, scalar paradigm is defined by its 3 invariances, invariance of relative motions (Einstein), invariance of scales (Nottale) and invariance of topological formal Time arrows (Sancho).

Those Time Arrows or dimensions of any fractal space/time are the 4 guiding whys or wills of any entity of the Universe:

– Entropy arrows that expand form into Entropy.

– Information arrows that form Entropy into information.

– Reproductive arrows that reproduce the Entropy and form of a complementarity system in other zone of space-time.

– Social arrows that create superorganisms by associating in complex networks Non-E particles of self-similar properties. This 4th arrow of social evolution is the cause of ‘scalar relativity’, as systems are made of parts that associate in wholes, which share the functions and morphologies of its parts. Yet scales are never equal as quantum physicists pretend, only self-similar. So the properties of a galaxy made of stars and black holes, made of quarks and electrons are self-similar to those of quarks and electrons.

For example, in the next social plane that gathers atoms into molecules, the 3 main cycles of Entropy, form and the reproductive combination of both, become the 3 states of matter:

-Energetic gas state, (max. spatial extension and energetic speed).

-The balanced, reproductive liquid state, S=T, which creates the more complex forms of life.

-The 3rd, informative solid age, which has temporal, informative properties (cyclical vibration, high density of form and minimal space). While the spin or temporal movement of particles that gives them mass emerges in the macro-plane of molecules as a ‘vortex’ that attracts those molecules.

The boson-fermion equation, fundamental event of physics.

What the boson-fermion interaction means is that both, masses and charges are accelerating vortices which produce constantly, as they decelerate, ‘fractal actions of constant speed’ and increase the curvature of space in the dimension of height, through which they emit most of those actions, as electric or magnetic quanta. In the case of an electromagnetic vortex part of its acceleration becomes also transformed in the Unruh radiation that increases the temperature of the accelerating vortex. In our macrocosmic Universe it means a friction that decelerates the vortex and increases also its temperature. In gravity the interaction of the 3 dimensions is also evident: As the G-deformation of the vortex grows, so it grows its speed and acceleration. Unification follows when we consider charge and mass merely 2 types of vortices that can be derived from a 5th fractal dimension of time, that can accelerate inwards, imploding space (and then we have the arrow of gravity) or decelerate outwards widening space and diminishing curvature (then we obtain, as Kaluza did, the electromagnetic arrow).

The perception of those dimensions becomes more complex if we introduce the errors of the mind that tends to average accelerations and decelerations into constant speeds and converts speeds into static distances or spaces. We say that the mind uncoils an accelerating time dimension into a wider static field of space, or a fixed density of space-time called a mass. This is easy to understand. Take for example, the representation of those 3 parameters, space, speed and acceleration in a Cartesian system of coordinates. Space is longer: it is a length in the x-coordinates without any angle, flat. Then we raise the dimension of height/time, and obtain a diagonal, straight line that represents a constant speed. Yet because it has an angle, the line is shorter in X-space coordinates. Fact though, is that the being that has speed is in fact moving a longer length, but we have transformed that longer length into a temporal height/form in the graph. Finally acceleration is represented by a parable that finally becomes a height line and so it occupies the less quantity of X-space. Yet an accelerating being will reach the longest distance of all the 3 beings in the shorter time.

What those accelerating beings peel off as friction or radiation, or speed is called in quantum Physics an action, which is a fundamental constant in all beings. In the quantum realm the accelerating vortex produces an h-constant action of Entropy and time; in the macro physical realm it produces a Temperature or radiation as in the Unruh case. So to avoid collapsing into a singularity of infinite speed, what particle’s vortices do is to peel off h or T actions, modes of constant speed, made of Entropy and time. So we can move from the Equivalence Principle of Relativity to the Gauge and Action principles of quantum physics.


Thus in physical space all what exists are 4 motions of time, and those 4 motions define a Universe in perpetual motion, perpetually creating and destroying organic systems of Entropy and information.

Yet because the physical Universe is the simplest of all systems, its main event is a transformation of Entropy into information, of vacuum space into vortex-like masses and charges, which cannot be reduced further. And so the simplest ‘events in time’ or ‘types of change/arrow of motions’ in the Universe are lineal energies that move (boson forces) and cyclical forms that turn around, storing information in their patterns of form and frequency.

And this explains why the boson/fermion inversion is the main law of quantum events and why E<=>M(t)c2 is the main law of the mass membrane. And we write it also as feedback equation since in physics Entropy/information events are reversible. So in the same manner Entropy can curl into mass, mass can explode into Entropy.

Indeed, if we depart from pure lineal motion or entropy (perceived statically as extension or space), then by ‘curling’ and ‘warping’, we can obtain cyclical forms (masses and charges), in the same way that by crunching a paper we obtain warps, angles of form. This primary event, E->O, diminishes the space, extension, lineal motion or speed (self-similar concepts) of space and increases its form. Thus, we obtain from Entropy ->Information. While the 2nd causal arrow of that feedback equation explains the destruction of form and creation of Entropy, I->E, which is the ultimate meaning of the big-bang and all other mini-big bangs (novae, supernovas, beta-decay, Bombs) of the physical world of matter.

Reason why Einstein said that ‘time warps space into masses’ – meaning that Entropy curls into cyclical vortices of mass – while Darwin said that ‘Time evolves the morphology of life beings’; and deduced first the equation M=E/c2 even if the Atomic bomb made more famous the destructive inversion

Recap. All the events of quantum particles can be explained as events Generated by the fractal equation of spatial Entropy (boson waves) and temporal information (fermion particles).

Physical constants are Entropy/form ratios of space-times.

Universal constants show ratios of Entropy, form, and ST=reproduction of space-time membranes. So they can all be written as partial equations of the Generator Equation of spatial Entropy and temporal information: SPe<ST>Tif.

The relationship between the Constants, O & e of those space-time membranes or ‘forces’ is a simple rule, known to physicists as the Law of Range: Max. E = Min. O and vice versa, which is a particular case of the inverse properties of Entropy and form.

In the widest ecosystem of physics and its 2 gravitational and light space-time membranes, those Universal constants are related to the informative density and spatial distance of the vortices of masses, charges and lineal flows of forces of those 2 membranes.

Because there are 2 membranes of space-time, the light space-time membrane we see and the dark, gravitational, bigger, faster space-time membrane we don’t see, the Universal constants of both membranes are different. This means that black holes and quarks beyond the event horizon keep accelerating faster than light, and the Entropy they expel through their poles, called dark Entropy is also faster than light, which is the limit of speed of our membrane of space-time, light. Thus, the specific physical constants used to describe the e/o ratios of the vortices of Entropy and form of the cosmological and quantum world of masses and charges differ in value, as they express those different Entropy/form ratios. Yet since there is invariance of topological form, the only difference between electromagnetic and gravitational fields will be the extension/speed in space of its forces and the informative frequency of its vortices of temporal information that will give us different Universal constants, which are ratios that measure the speed of transformation of spatial Entropy into cyclical frequency. Thus we write a generic, topological, invariant equation for all space-times which will differ in its specific Constant (T/S):

F = UC (Tiƒ/Spe) Mm (t) /Dd (s)

Recap. We measure universal constants as ratios between the frequency of a mass/charge or in-form-ative volume of the particle and its spatial distance. And so the faster the frequency of the ratio and the smaller the spatial extension, the stronger the Universal constant will be and the faster the exchanges of Entropy and form between the particles/vortices will happen. It results in 3 forces: the gravitational, macrocosmic force, the electromagnetic force and the strong microcosmic force of increasing strength and speed of rotation as we diminish our size.


The corrections of quantum physics.


Particles and antiparticles, positive and negative charges must be explained as space-time antisymmetries, which can be seen according to the Galilean paradox, both as inverted events in time, as in the left Feynman diagram or as geometrical inversions in space (right diagrams). They are the why of most physical dualities that classic physics fails to understand.

All the errors of interpretation of quantum physics derive also from the ignorance of the key dualities of the Universe:

-Duality of motion in time=distance in space.

-Duality of 2 space-time membranes, gravitation & light.

-Duality of wholes, made of fractal parts of a smaller scale.

-And duality of the arrows of form and Entropy natural to all complementary beings, which create 2 more complex arrows, energetic reproduction and informative, social evolution.

When we use those whys to interpret the magnificent scaffolding of mathematics and metric space times of measure built by quantum theories all becomes resolved. So we shall try to give meaning and explore the whys of quantum physics with the new tools of multiple spaces and times.

Let us then start with a basic clarification brought about by the knowledge that all cyclical patterns and forms are ‘time-clocks’ that carry the information of the species we study. This means particles are cyclical states and waves are energetic states; and cyclical properties such as spins are time-clocks that carry information while energetic states are lineal, extended forces.

The main error of quantum physics is the lack of understanding of the properties of temporal information, the cyclical nature of time and its multiple rhythms and clocks, obscured by the equalization of all those rhythms with a time-clock. This error is enhanced by the experimental limits of human instruments (uncertainty principle):

Time cycles and spatial flows cannot be differentiated in the quantum realm, as they can in the biological world, due to the minimal duration of ticks of time of quantum particles, which therefore are observed as space trajectories.

This is due to the black hole paradox: Max. Tƒ = Min. Se, which means the smaller the particle is the faster its cyclical, rotational clocks turn. So in experimental physics, you never get images short enough to ‘feel the tick’ of time. Time cycles appear as those pictures of a fast turning wheel, which seems a solid disk without motion. So particle’s cycles appear; as printed ‘images’ on the bubble chamber.

Yet once we understand the dualities and forms of time-clocks and spatial, lineal flows, there are easy ‘key elements’ to know when we are seeing ‘sequential time events’ instead of ‘spatial trajectories’. For example, systems that are ‘bilateral’, 2, are space-like, left-right. While systems that are composed of 3 elements are time-like, where each element represents the past, present and future states. So there are not 3 quarks but quarks in 3 time states/colors. And so in time the same quark changes its 3 states creating a charge of 3 x 1/3=1. More often we find that a ternary state is both, an organic structure in space and a ternary wave in time. And so the ternary topologies form the particle state, and the 3 phases of the wave represent the particle in time. 3 is thus the evolutionary limit, which explains why so many systems are ternary systems: 3 neutrinos evolve increasing information as a wave; 3 mass families are the 3 horizons of evolution of quark-masses, and so on.

Further on, particles must be classified in 2 different membranes, that of light and that of gravitation, which we do not perceive. Thus it is easy to classify those particles, as we did in previous paragraphs: the easiest criterion is its ‘visibility’. So gluons, quarks, boson strings, gravitons, black holes and neutrinos, which are not observables, are gravitational species.

Because time ‘bends Entropy into cyclical vortices’ masses or charges, depending on which of the two membranes of space-time we study (since both are self-similar as we showed by finding its unification equation), we can also differentiate the particles that are clocks of time and store most of the information in both systems (electrons and quarks), and particles which are lineal, energetic states (light and gluons).

Because the universe is in symmetric balance, as there are electric and magnetic fields in light to balance each other, and there is a repulsive, lineal electromagnetic, transversal wave and an attractive cyclical electronic particle; so there must exist an attractive, cyclical gravitation and a repulsive, transversal gravitational wave. Thus we conclude that dark Entropy is merely the transversal, repulsive gravitational waves that come out of galactic black holes.

Finally, since the formalism of temporal information is inverse to that of Entropy (meaning that Entropy moves forwards, information stops motion or reverses backwards with negative, imaginary numbers), and both cancel each other, we can distinguish, which are the parameters of Entropy and information of a field or particle.

For example, in electrons, the informative component is given by the imaginary parts of the Abelian phase of its mass field; and both fields – the real, energetic field and the informative imaginary component – are at a 90 degrees angle and when one is maximized the other is nullified. So even if our perception doesn’t distinguish both terms we can now which one carries the information of the system and which one the motion.

For the same reason the 4 quantum numbers can be easily classified as representing the 4 basic arrows of an electron:

  • E: The principal quantum number (n = 1, 2, 3, 4, …) denotes the eigenvalue of Hamiltonian (H), i.e. the Entropy. This number therefore has a dependence only on the distance between the electron and the nucleus (i.e., the radial coordinate, r). The average distance increases with n, and hence quantum states with different principal quantum numbers are said to belong to different shells.
  • The azimuthal quantum number ( = 0, 1, …, n − 1) (also known as the angular quantum number or orbital quantum number) gives the orbital angular momentum. In chemistry, this quantum number is very important, since it specifies the shape of an atomic orbital and strongly influences chemical bonds and bond angles. Thus it is the number that defines the form, or ‘static information’ of the system.
  • The spin projection quantum number (ms = ±½), is the intrinsic angular momentum of the electron or nucleon. This is the projection of the spin s = ½ along the specified axis. And it defines when a particle decouples producing two electrons, its ‘male’, ‘female’ forms, as only two electrons with inverse spin can reproduce. Results indicate that up to two electrons can occupy a single orbital – but they must be male and female, with ‘different spin’.
  • The magnetic quantum number (m = −, − + 1, …, 0, …, − 1, ) yields the projection of the orbital angular momentum along a specified axis. Lz = mℓħ.

It defines the number of electrons with clonic form but different relative orientation there can be in a shell, hence it is the ‘social arrow’ that defines the organization of a number of similar elements in the system. And also allows the system to understand an external magnetic field and organize its social evolution as a herd of electrons.

  1. However two electrons can never have the same exact quantum state nor the same set of quantum numbers.
  2. Further on, according to the isomorphisms of emergence between scales:

-The 2 energetic/informative arrows are represented by the 2 first numbers, the main number represents the reproductive wave of photons (lower scale) that shape the energetic volume of the electron as it displaces, imprinting the surface of Entropy around the nucleus. The second number represents the ‘changes in the shape’ of that electronic path, due to the absorption= feeding of a photon that evolves formally into the electron.

-Then the other 2 numbers, the magnetic number and spin mean the same for its information components: the spin represents the reproduction of two electrons, which are born with two orientations – short of the masculine and feminine sex, and the magnetic field is the language of social evolution that affects the electron as it is his ‘informative perception’ that can change the spin and orientate the electron from an external field.

This trivial explanation of the why of the 4 quantum numbers, using the theory of Multiple Spaces-Times however will be denied by most abstract physicist, for whom organicism is a taboo concept born from the anthropocentric nature of human beings and the mechanist approach to science of the founding fathers, whose memes are learned and repeated without much reflection by all texts on physics. Yet what marvels of a model of multiple, vital spaces and time arrows applied to quantum physics, is how easily data becomes structured into a ‘plan’ with meaning, explaining the whys of all previously paradoxical quantum processes.

Indeed, once those precisions are made we can truly clarify all the mysteries and meanings of the parameters of quantum physics, from spins to waves to complementarity isomorphisms, to spooky effects. For example, since a time state is an informative, still state with the ternary phases of time cycles and its hierarchical, non-commutative causality – given the fact that it is not the same a motion to the future (whereas Entropy becomes information) than a motion to the past (where information becomes Entropy), the meaning and mystery of spins becomes resolved:

Systems with 3 spin positions (spin number 1), are still systems and the 3 spins form a rotational clock.

Systems that are in motion have 1/2 spin number – 2 positions and they are bosons which display a spatial main lineal motion and its inverse negative ‘informative’ motion, creating a simple beat forwards, backwards. This beat is natural to all complementary systems that last, and so we find that an alternate currency of electrons is more stable and lasting than a continuous one as it has an Entropy/information beat in its motion.

Those rules of course are also useful to detect erroneous theories that cannot happen since they mix properties of time particles with spatial properties and vice versa.

For example, the Higgs cannot exist because it is a scalar boson7. And by definition, a scalar field with no rotation will not act as a boson moving at light speed.

Further on a boson cannot have mass as it does not close its cyclical trajectory so it does not form an attractive vortex, reason why light and gluons don’t have mass.

The same concept applies to forces, whose range law I just an expression of the Black hole paradox (max. Entropy=Minimal information/mass). So we can distinguish forces belonging to the strong-mass membrane – gluons – and forces belonging to the electromagnetic membrane – photons. And then forces belonging to the bigger cosmic membrane of gravitation, gravitons, which are boson strings of tachyon speed.

This leaves the 4th force, the weak force that has no range and time parameters that change the in/form/ation of the particle, and also breaks the symmetry of space (left-right). So it is obviously not a spatial force but a time event, which further explains why we have never found its ‘boson force’, the Higgs7.

The same error invalidates super symmetry and hence all string theories except the original one, which properly understood as background independent and using fractal co-dimensions of finite size extended through several relative scales of gravitational complexity should become departing from its Nambu’s minimal action and Planck length, the proper formalism of gravitons.

Thus, while the formalisms of most quantum theories are correct all those limits of perception added to the errors of using a single clock-time and a single space, explains why so many ‘whys’ are confused in quantum physics to the point that Feynman finally said: ‘the why is what you don’t ask in quantum physics’. We do and that is what this paragraph is about: the why of the perceived phenomena of quantum physics.

Finally physicists ignore the black hole paradox so they don’t understand that protons, neutrons and all other particles do not live eternally. On the contrary their life/death cycle is their complementary cycle between informative states and energetic states, either the clock of particle/wave complementarity or the clock of particle/antiparticle, past to future and future to past cycles.

And so their existential cycles are really short. But they do not disappear because what physicists see are ‘generational waves’, given the fact that at the quantum level unlike in our informative-dominant world of biology, past to future and future to past arrows are reversible. So as a very simple jellyfish does, turning his clock backwards when it gets old and becoming young again to turn the clock forwards; particles and antiparticles go forwards and backwards and forwards in time. Bosons and electrons move forwards in energetic motions and backwards in informative motions. Light imprints once and again a photon of information that becomes an energetic wave that becomes a photon.

And so what physicists call the life of a particle is its longer generational cycle, which can last an enormous number of self-repetitions, but should neither be eternal.

Indeed, it seems that light beams and light-evolved entities (stars) have a mean cycle of 10 billion years, after which they suffer an energetic big-bang expansion – stars explode into Novae and light gets tired and expands in a redshift process, returning to its gravitational, non-local lower scale of dark Entropy. This of course explains why far away light red shifts and seems to expand space: it is dying and beyond those mean 10 billion years an increasing ‘darkness’ is observed in the Universe, which a simple Gauss curve of probabilities show to be almost absolute beyond the x+1/3rd 13.3 billion years range.

Again physicists don’t see both, the dual space and time views of the Universe but only the temporal big-bang, which considers a cosmos in time failing to analyze it in space as a simultaneous system connected by non-local gravitation. So they think darkness is not caused by the spatial death of light, which they merely use as a clock of cosmic time, thinking therefore that beyond those ages we enter into a temporal darkness – and the Universe didn’t exist.

Recap. Quantum errors derive from the confusion of time clocks with spatial trajectories and the ignorance of the dualities of spatial Entropy and temporal information; and its rejection of organic theories of reality.

Informative inflation: The error of multiple dimensions.

After rejecting so many trendy theories of modern physics, I am afraid many practitioners of the ‘baroque’ age of information of quantum theories will ignore this text, so we must do further clarifications on the why of that multiplication of impossible theories.

The inflation of baroque theories of physics, which take the classic age of Metric spaces and its proper theories (Relativity and quantum physics) beyond its scope and reach, has caused many false theories without empirical proof, which try to correct and extend the metric paradigm beyond its power of resolution, without taking into account the needed corrections and widening view provided by the new tools of topology, fractal points and Non-Euclidean postulate. The main reasons of that inflation of false or unproved theories are:

– The fact that information is inflationary. This is self-evident. A language of the humankind maps out reality with far less Entropy. So it is rather easy to construct many linguistic images of a single reality, as we can find many mirror images of an object. And all of them will carry a minimal truth. But the theory that matters to us is the one that has the perfect focus with a given language. Again, if we focus an image with a camera, there would be many images similar to the object but only a point of perfect focus. So all those alternative theories with many dimensions are just half-truths, bad focused, linguistic and mathematical images of a single reality. We are however here concerned with the dimensional theory that has the perfect focus, both in logic and mathematical thought.

– A 2nd problem is the Pythagorean belief that mathematics is the only language of science and any mathematical theory must be truth. This absolute belief in a language fails to recognize the limits of linguistic knowledge. And it is proper of a young language, which evolves from an age of simple, dogmatic truths to a more sophisticated baroque age. Mathematics has been applied as the ‘language of God’ to the Universe only for 4 centuries. So scientists are believers in their language with a dogmatic degree that verbal writers only practiced in earlier, religious ages, when the written word was also considered the language of God. Pharaohs would just say, ‘it is written’. And that meant it was truth. Then philosophers of language found out the relativism of all linguistic statements. And finally an inflationary age of verbal information – the age of fiction thought – has settled down after millennia of using words.

This inflationary age happened in mathematics only a century ago and the relativism of those theories was exposed by the work of Gödel. Yet the believers still rule in science and so it is a fact that Gödel has been cornered and considered a heretic both in physics and mathematics for denying that ‘God speaks mathematics’ (Galileo). It is however about time for science to accept the linguistic limits of mathematics as verbal writers accepted the meaning of fiction in verbal thought precisely when Cervantes wrote the first fiction novel of the modern age, Don Quixote. Instead, scientists must accept that after Gödel we need experimental proof to show a mathematical theory certain.

– A third source of errors is the mechanist dogma that denies organic interpretations of physics, which are self-evident as quantum probabilities in time are easily transformed into spatial population of fractal knots of electromagnetism in space (real, mass side of the phase equation.)

The denial of Hylomorphism (the opposite philosophy of the platonic pythagorism of physicists who believe mathematics are truth per se, declared by Aristotle – all informative languages must have a physical, experimental truth to be real) and the denial of organicism (complex, vital arrows in physical systems – reproductive repetitions and eusocial evolution) are so pervading in quantum physics that is truly surprising… because all the fundamental isomorphisms of quantum physics are organic in nature.

The Complementarity law requires particles of information and fields of Entropy and one cannot exist without the other. Quantum theories are called gauge theories because all require that particles gauge, measure, hence process information as perceptive beings do, in order to interact with each other. The 2 fundamental particles, electrons and quarks constantly reproduce jets of new particles, hence they absorb Entropy. And finally all particles evolve socially into more complex systems, as cells do in organisms. So those are the same 4 arrows of time of all fractal systems of the Universe, which in mathematical, quantum equations are expressed through the different quantum numbers; as those informative/energetic processes take place in orbital paths and through the emission and absorption of electromagnetic Entropy and form.

Fact is we do not see 10-dimensional hyper-strings around us, because dimensions are diffeomorphic, fractal and attached to a temporal function/arrow. And they are topological and so in a 4 dimensional Universe there are only 3 topologies, 2 bidimensional substances, Entropy and form (Holographic Principle) that combine to create finite vital spaces with a time duration – the entities of reality. And that structure is enough to explain all systems.

Only then departing from such fractal 4-dimensional beings, we can build another plane of more extended dimensions in which each beings is a point of a bigger network of spacetime.

Further on, the 3 dimensions of time change, past-present and future parallel to the 3-topologies of space, energetic planar membranes, cyclical present, reproductive volumes and hyperbolic informative centers create harmonies of forms and functions, which have to be study with the rules of causality and logic, considering always the Galilean paradox: motions in time are equivalent to dimensional forms in space.

In its simplest creative processes, those logic chains and dualities mean that dimensions grow in time as points displace creating lines, lines displace creating planes, planes displace creating cubes, and cubes displace creating momentum, mv, where v becomes the 4th dimension, as the cube moves tracing the first trajectory of a bigger plane of existence.

And the same process describes a point that becomes a cycle that rotates into a bigger sphere that moves along a new cyclical trajectory, creating a 4th new dimension of a bigger plane.

So a 4-dimensional cube is not the fancy cube of hyper-dimensional geometry but a 2 dimensional plane of space or cycle of information that grows in height as a flat sheet of Entropy reproduces its form, or rotates cyclically and then, moved along a temporal path, with v or w lineal or cyclical speed.

We then obtain a translating cube. Since reality follows the dimensions of normal time and space, not the hyper cubes of idealized mathematics.

What truly happens is that a wave or form that displaces along a given path reproduces its form, its information, creating, reproducing a new dimension, which first is measured as speed and then leaves a solid trace behind. So when we emit a ray of light, light imprints and forms gravitational space creating a form with a new dimension of length. Only recently, physicists used this common sense definition of dimensionality in String Theory: where a string moves along a perpendicular path creating a plane and then again creating a cube of pure space.

In that regard, physicists’ role is not to invent mathematical fantasies but to limit mathematical models to the physical reality in which the inflationary information of mathematics is restricted by the resistance of Entropy to acquire complex forms.

So only certain efficient geometries and topologies exist, and the enormous numbers of imaginary, unstable particles do not matter, as the inflationary universe keeps creating forms but few survive.

Thus good physics describe only what reality shows: the constant, discontinuous, growth and extinction of dimensional beings, which can be seen as fixed forms or in movement (so a wheel spinning or a planetoid circling Saturn might seem a fixed dimensional form, when observed without detail). Yet once the 3 dimensions of space are filled up, the object will create moving, translation dimensions as its trajectories shape new cycles, or it will create real dimensions of form, if it reproduces in ‘biological radiations’, growing from micro-forms into macro-forms.

In both cases we would see how the object ads a new dimension that enlarges its world. For example, imagine a 3-dimensional living sphere, a cell. As it reproduces, it fills now a macro-dimension and after multiple processes of dimensional reproduction, it will create a macro-organism that has 6 dimensions, the 3 of microcosmic, cellular space, and the 3 of macrocosmic organic space.

Then again, if that individual organism, the first of its species, multiples, and organizes itself into a society, an ant-hill or a human society, it will expand in macro-macro space, again filling up 3 bigger macro-macro dimensions of space, till reaching 9 dimensions, whose growth can be measured as a t-duration with lineal time, giving us 9 (classic space) + 1 (lineal time) dimensions in ‘classic physics’. In this manner because space-times are fractal, moving geometries and dimensions are finite processes of reproductive growth, when we talk of multiple dimensions we don’t have to invent spatial geometries, and follow Minkowski’s definition of time as a spatial dimension, but just describe reality, as it is, and consider each movement or reproduction of form with a certain frequency, a dimension of time. In those terms, many ‘mysterious’ objects of the physical universe described mathematically with multiple dimensions, conceptually ill-defined, become now real, complex space-time fields, extended across fractal spaces from micro-worlds to macro-worlds, as your 9+1 dimensional organism extended in 3 scales, from cells to individuals to society, is.

Such 9+1 dimensional strings (expressed in lineal time and classic Euclidean space) are thus an error due to the ignorance of the Galilean Paradox: dimensions are initially moving and reproductive cycles of times perceived as fixed forms and distances. Yet those dimensions are dynamic, since they grow and occupy a volume creating new macro spaces – the fractal scales of reality – from microcosmic photons to macrocosmic galaxies.

For example, a moving photon-point reproduces a bidimensional line/wave, which wobbles upwards and creates finally a 4 dimensional macro-space of light with length-speed, electric height, magnetic width, and frequency-rhythm. In the same way a cycle of time can rotate upwards and sideward becoming a 4-dimensional mass or charge also with length, height, width and rhythm. A 5 dimensional object would then be a mass creating a new, lineal trajectory, giving birth to 5-dimensional, lineal momentum (a mass moving in a line); or a 5 dimensional rotating mass with angular momentum. Thus, reproductive movements and rotations create dimensions, which give origin to a growing fractal reality of repetitive, scalar forms – the vital reality we see. Unfortunately, in XX C. Physics, since Minkowski’s invention of a spatial, 4th dimension of time, most of the dimensional work done in physics is just about fancy mathematical objects, which have little to do with the real n-dimensional, space-time.

All languages are inflationary. So in the same way ‘hair is blue’ and ‘hair is green’ are 2 beautiful sentences, however false, physicists can create all kind of fanciful geometries, however false. Fact is reality doesn’t have 10, not even 4 continuous fixed, space dimensions, but it is constructed with fractal, scalar dimensions that grow from micro to macro worlds.

So we should apply 2 fundamental isomorphisms of scientific truth, the Occam principle (truth is the simplest explanation of reality) and the experimental method (truth is a description of real phenomena) to the problem of multiple dimensions. Reality is not born out of the complex geometry of 9 dimensional continuous spaces. Its complexity grows with the creation of dimensions that start as the temporal, reproductive movement of a form that becomes a fixed structure of space, and again reproduces its movement in time or inversely extinguish its dimensional form. Yet since those dimensions are limited, fractal dimensions they end when the wave ends its reproduction or the particle ends its movement – so they can be increased ad infinitum as the form grows into new macroforms.

-Such fractal, scalar nature also implies that we should always consider the interaction of both membranes, gravitational and electromagnetic membranes, instead of trying to simplify them. In that sense, physicists try to unify the micro-world of electro-magnetism and the macro-world of gravitation, without realizing they are 2 different scales of the Universe: to unify them is like trying to unify the existence of human beings and their macro-scale of societies; or the properties of cells and the ecology of its macro-organisms with the same equations/isomorphisms of behavior. What is relevant is to explain the relationships and self-similar isomorphisms of invariance that happen between those scales.

All in all what this means is that the holy grail of present physics, the scalar boson with a new field never found on Nature, the Higgs, and the super symmetric inflation of background dependent, 10 plus dimensional strings don’t exist. And an enormous number of virtual, unstable particles don’t live long enough to be relevant except as failed games of the inflationary game of reproduction of fractal information. So once we have limited the theme of our inquire to what is real – stable particles described by classic quantum numbers – in the realm of evolved light-space forms, and quantum gravitation (strong force and its boson strings, gluon and quarks), which is what quantum theory studies we can go on illuminating its whys with the tools of multiple spaces and times.

Recap. Information is inflationary, so it is the mathematical language, whose enormous number of possible theories about reality must be contrasted with the experimental method and the logic principles in which existence is based. But physicists are ‘Pythagorean’, so they cannot accept truths, which are not written with mathematical equations. This means till modern times despite Gödel’s work about the errors of mathematical equations; they have ignored the isomorphisms of information and morphological change. Unfortunately many of such simple solutions will require time to be adopted, as there is in a Universe of inflationary information, many ill-devised theories based in the faulty, previous paradigm of metric spaces, whose practitioners will have a hard time to abandon.

Whole and parts: quantum waves.

There is finally the problem of jargons, which is especially difficult when dealing with quantum physics, which is the less understood in conceptual terms of all the scales. As IT IS THE CLEAREST CASE OF ANTHROPOMOPRHIC, OBSERVER’S HUMAN POINT OF VIEW, analysis since Ptolemy, due to the self-centered ego-centered Germanic idealist culture that discovered it. Some examples of this needed translation following Einstein’s wishes:

  • Uncertainty principle: h is the minimal space-time being of the perceived light space-time Universe, it is NOT an abstraction, but an angular momentum, a cycle of time, enclosing a vital space with energy, hence a unit of energy and Time,  and Se x Tƒ, ‘FINITESIMAL’. So of course, there is always a remnant H, and H is the cellular unit of future creation of more complex social particles. Thus we shall call it Planckton, by analogy with the minimal unit of the trophic pyramid of sea life. Now, Heisenberg merely tell us that because the observer will always find this remnant to observe, and on top it will destroy it as it measures-absorbs its energy and information, it will be delocalized on position, or energy-momentum. He does explain it from the perspective of the observer, which is like a whale telling us that the ‘tasting’ of Planckton has the uncertainty of tearing it before tasting it.
  • Wave-particle duality, which are just the balanced ST and Tƒ states, which are preferred to move (ST state) in a steady speed or to gauge information, with its inward accelerated motion. Wave state is further preferred as any ‘group’ knows, when motion or defensive state. So an army, a school of fish or flock will always be in wave state when moving and particle tight formation when attacked by a predator or enemy army. This duality of all scales also explains why in small slits, the wave moves through several slits and appears at the other side’s screen as a wave.
  • Fractal nebulae, they are not probabilities in time, but as Schrodinger explained, density of populations in space, as we do see a simultaneous picture of them all in a single still, so it is the perception of the electronic wave at its ST level, under the symmetry of time or space perception, events as probabilities or fractal populations, both studied with the same statistical ‘bell-curves’ and Gaussian tools.
  • Spooky entanglement, which deals with the fact that most motions and information transfers required the translation in a lower faster Se x Tƒ = k scale of the 5th dimension. So as chemical cells often transfer information through faster electric neurons of a different 5D plane of existence; or as we do talk through faster invisible phones despite being verbal beings, information between particles transfer through the non-local, lower gravitational scale of ‘dark energy’, making possible entanglement, and simultaneous, immediate perception of information, which we do not see as it is transferred in a relative infinite speed, v=S/Tƒ= Se/0 gravitational perceived information = ∞ speed.

Now, we deal with the full translation of all spooky quantum effects to the isomorphic laws of T.œ in other parts of the blog. Some are that simple to translate in organic terms, some are caused by the asymmetry of 5D arrows, which causes more information in lower scale – hence the sum over histories and use of functional operators, to meet so much information, and the impossibility in this introductory post to get into detailed mathematical physics on quantum theory (only the simpler equations of upper scales of less information, mechanics and partially thermodynamics, will be translated).

The number of facts we shall explain with those isomorphic functionals is as in all other systems studied in this blog enormous – namely when/if the 4th line of the blog is finished, ‘all’ the facts of physical states/systems will be derived from them.

Thus all analysis of a single plane must be though combined with the 5th dimension duality of infinitesimals and wholes, so we can then define as the particle, the fractal, condensed, organic function of the wave, Tƒ, position, mostly around a fixed quark-gravitational points; then the herd, loose state, reached most often when in motion as an electronic herd and then the wave-field of light. So an electron is a condensed state of a wave of dense h-Planck light space-time fields, and this explains their behavior in quantum fields similar to that of any herd that moves loosely in any scale and becomes a knot in a static, solid crystallized form or when in defensive mood. So the army becomes a ball and the school of fishes and the electronic wave when defied by an enemy, predator or high energy human observer’s ray-bomb:


Fields, waves and particles are the ternary symmetry of physical spaces in its Se-field, Tƒ-particle and ST-wave states. As such they are the main protagonists of mathematical physics. And its evolution into each other by increasing the frequency, that is the speed of the Tƒ, time vortex is shown in the graph above.

It thus rests to study the isomorphism of physical actions to fully grasp the meaning of physics, and then study in more detail those isomorphic, frozen species, the atoms, the galaxy and in between matter states.

An electron is a herd of photons that gathers into a particle or expands as a wave, depending on which strategy maximizes its survival and movement, as a school of fishes does in front of a predator. The herd even splits its ST fields (P1, P2) when it finds an obstacle and later merges back those space and time fields into a compact form. Yet Physics ignores the bio-logic strategy of the electron and uses a probabilistic explanation of the wave/particle principle to keep its mechanist ideas on matter.

It also ignores that the 2 components of an ‘Abelian’ Phase space, which defines the mass-field of the electron, are an energetic and informative component (the imaginary number) since its concepts of space-time are still monist, continuous, ‘infinite’.

The units of both membranes, the gravitational and electromagnetic membrane are time actions, ST, product of the minimal spatial Entropy and cyclical time of both membranes. Here due to our limited space we shall not study the gravitational membrane, whose minimal quanta of lambda length and Planck time creates a lineal and cyclical string, or action of gravitational time; which becomes a gluon/neutrino wave in the next scale and then a quark wave.

We shall consider only some aspects of the self-similar wave of light bosons (h-plankton or ‘photons’) that condensate in cyclical phase space forming a De Broglie mass-wave, or electron whose pattern is defined by the real, lineal energetic component and imaginary, informative, height-dimension of its algebraic equations.

What is the ‘it’ that Schrodinger & Dirac equations describe? The duality between a whole and its fractal parts explains the nature of Physical Actions, microscopic quanta of Entropy and time that any physical vortex emits or absorbs to communicate with its environment, complete its existential cycles and stabilize its accelerations: Actions are projections of the form of a given being in the external Universe, achieved thanks to the use of Entropy that ‘translates’ in space its in-form-ation:

Present Macro-Organisms (∆) -> Micro-Actions (∆-1):

Max.E x Max.Tƒ (Organism)-> Σ Min. e x ∏ Min.Tiƒ (Action)


Both, in organisms and actions the arrows of Entropy and information merge in constant ‘presents’ – systems that exist longer precisely because their Entropy and information are in balance. A present organism is a cellular system with 2 poles – one dominant in Entropy or relative body/field, and one dominant in information, or relative head/particle, which constantly relate to each other by exchanging small bites and bits of Entropy and information, called actions, Min. ΣS x Tƒ=K.

A physical action, defined by the specific equation of a Universal action applied to the scale of electromagnetism, writes also ExT=K(h). Where Entropy and Time are inverse functions, whose product is always a balanced constant. Thus as inverse functions the growth of one of those 2 elements E or T means the diminution of the other. From where Physicists deduce a series of fundamental isomorphisms of physics, studied in detail in the non-abridged version of this book (Heisenberg Principle, Law of Force ranges, etc.)

The same law applies to any Universal action. For example, humans who process biological information sleep in absolute zero movement-space. They maximize information by minimizing Entropy. So happens with thinkers, which are quiet people when reflecting upon information, or informative chips which occupy little space and work better in coldness.

The exchanges of actions between beings resolve the paradox Leibniz encountered in his analysis of Space-time monads: how the different space-time beings communicate each other, creating the networks and complex systems we observe in the Universe? The answer is through microscopic actions.

Actions are microscopic ‘cells’ of the bigger organism – in terms of cyclical time, they are minimal frequencies, compared to the complex, bigger organism made of knows of multiple events), the duality of macro-knots of frequencies and individual actions define a fractal Universe organized in scales or ‘planes’ of space-time of different size and temporal duration. Any organism, in that sense, extends in 3 ±i relative planes of size and duration.

The natural St plane, for example, in the human case, our individual scale of existence; the microscopic, cellular plane, in which the Entropy and information of any entity’s action develops. In the human case, it is the cellular scale, which provides the Entropy and information for our actions. And finally, the social macroscopic, +st plane, in which the individual is often a microscopic action, part of a whole mass that performs a social cycle. So humans gather in masses that perform social actions that change their macroscopic scale, nation or civilization – while particles gather in waves and life beings in herds.

Thus, all organisms combine their S x T actions in knots we call cells, which gather together in constant species, creating an ∞ variety of relative Space-time beings, perceived simultaneously together as a present, continuous Universe.

Any entity in the Universe extends across 3 relative scales, the minimal scale of ‘actions’ of Entropy and time, the scale of cellular knots in which multiple cyclical actions gather together, and the scale of organisms and ecosystems made of multiple cells.

In those 3 cases reality is dynamic, as all those scales are made of moving cycles and fields of Entropy and time, despite the fact that we might see them as static forms.

The platonic, mathematic paradoxes of Quantum Theory can be explained in organic terms. Since, as Einstein said God doesn’t play dices and the Universe is not a mathematical probability but a dual, biological and geometrical game of herds and wholes.

The experimental proofs of quantum physics back organicism, in the image, the wave/particle behavior self-similar to that of organic herds, and a picture of an electron, which has the form of a nebula of fractal micro-points, self-similar to the whole.

We understand quantum waves and particles in terms of the structural duality of a Universe made of organic wholes or ‘particles’ that can be observed in its st-1, lower plane of existence as a wave of cellular, fractal, quantum parts.

In the graph, the wave-particle duality shows that physical particles behave in an organic form: an electron wave explodes into its multiple quanta (which seem to be ‘cellular’ condensates of st-1 photons) as it reaches a thin barrier in order to cross it. Light also divides itself into a herd of photonic quanta when it passes a slit.

In fact, fractal particles split their spatial and temporal fields, SxT when passing those apertures. Then sometimes they successfully mix both fields back together recreating the electron and sometimes fail to do that. Hence there are 2 possible solutions to the previous event, which fractal physics express as a quadratic probability when the electron reconstructs itself (sxt) or a null probability (s¹t) when it doesn’t; and we explain as a biological process. Further on, since life is caused by the social organization of cells into a higher plane of existence, those wave/particle fluctuations can be explained as particles that ‘die’ and ‘resurrect’ constantly.

The biological nature of those events is even clearer in the inverse process: when a spatial force, for example, light, comes closer to an informative, complex particle like an electron it evolves into a cellular, compact form – a dot of the photonic nebulae of the electron that integrates itself as a ‘probabilistic point=cell’ of the electron. On the other hand, when a researcher hits with a high Entropy beam an electronic wave, it collapses into a particle, as a school of fish clumps together in front of a bigger predator.

Recap. Physicists say that the wave solutions of the space-time field collapse, affected by the observer. It is the abstract, statistical way of saying that a wave of light is a herd of h-quanta, which evolves, imploding its form when it is absorbed by an electron of higher form. Yet the why of that how is biological, not ‘mathematical’, since as Einstein put it in his critique of a probabilistic interpretation of quantum waves, ‘God doesn’t play dices’.

Populations vs. Probabilities: Fractal, Quantum Particles.

We have now a general, simplified overview of the arrows of time and the topologies of space, which can be applied to resolve some of the basic riddles of quantum physics.

The first fact we must define, once the arrows of time are understood in its dualities, morphologically in space and dynamically as a series of events in time, is the duality of any physical system, composed of a relative energetic, past event/force and a relative informative, future event/particle. If we see reality fixed in space it will appear as a force/particle system; if we see it moving in time, it will appear as a relative energetic past wave that evolves and devolves constantly into a relative future particle of information. Our choice of reality as fixed or moving, in space or time is merely a question of the mind and how it perceives, according to the Paradox of Galileo, which stated that the Earth moves and doesn’t move, depending on our choice of perception. This is the solution to the quantum paradox of uncertainty.

Further on, in physical systems there is not at first sight an apparent dominant arrow of future, since we are making spatial pictures of them. That is why quantum physicists often confuse temporal events with spatial forces (such as the weak event or the mass-clocks that Higgs describes with spatial forces and particles).

They also don’t realize of the anti-symmetry of time and believe that moving forward in time (life arrow) is the same that moving backward (the death arrow). For the same reason Physicists confuse anti-particle events with particles in space – when they are 2 arrows of time of the same entity. All this happens because a cycle of space-time in electrons and particles is just too short and so physicists often make pictures of the entire event/life & death of the particle. So the particle life and antiparticle death is confused with a spatial cycle when in fact it establishes also an order of time, between life as a particle and death as an antiparticle.

The same life-death cycle happens when a particle dies and explodes back in a wave similar to star big-bang.

Tƒ make it all more confusing, physicists ignore the duality of the ages of time that become organs in space of a fractal organism. So sometimes a wave is the death of a particle but sometimes it is the spatial, organic energetic field, over which the particle/head exists as a complementary organism.

Only when all those dualities are understood, we can re-classify and re-order in a systematic manner all the forces, events, particles and systems of quantum physics in a complex, clear pattern.

In organic terms, the wave of a quantum system is the reproductive body of the system and the particle its informative state and both co-exist together (Complementarity system) as a dual system, whose energetic limbs are the fields of forces that displace the system.

Like life systems, particles have an order called the life/death cycle, first dominated by the arrow of information through the 3 life ages and then exploded into death by the arrow of Entropy. Thus physical systems do have temporal causality and anti-symmetry: they exist first slow as informative particles and then die fast in big-bangs as anti-particles or as disordered waves. Because the relationship between the informative-time speed of a system is related to its spatial size (ExTi=k), by the chip/mouse/hole paradox (smaller chips calculate faster), we can consider that the particle/wave duality or the particle/antiparticle duality are; when observed not as fixed space or dual organisms, but as casual events in time, the life cycles of physical matter, which are extremely short, as they are extremely small. In other cases though, they are part of a complex topological organism, acting as body, Entropy and form of a ternary Non-Euclidean structure:

Relative Entropy=past (Entropy field)<Body/Wave: present>Future=information=particle

In the previous equation, we added a bidimensional representation to the standard feedback wave: The information or future particle is as the relative past Entropy field, far less observable that the present body wave that mixes both, Entropy and information to create the combined field, reason why the phase space of a mass wave is not easily perceivable. The key to differentiate both types of entities, past and future, Entropy and form, motion and stop, E<=>I, as separate entities are the inverse properties of time that the present merges in a holographic form.

Thus, we distinguish for each ternary creation and form, the whole system and then its energetic parts more visible in space and its informative events more durable in time.

The symmetry between time and information on one side and its inverse symmetry between Entropy and space on the other, for the experiences theorist who fully grasp the isomorphisms of multiple times and spaces is the most revealing tool to classify reality and understand its events and isomorphisms as specific sub-equations of the generator of space and time.

Most dual particles are not spatial but transformational particle/antiparticle events of short duration and most bosons are wave /particle generational events, as they constantly switch between its big bang wave event and particle state. And so we write the anti-symmetry of time in those physical systems as a duality, a temporal, past to future life/death, informative particle/big bang cycle:

Big Bang arrows (energetic, expansive state)<Dual system> Big crunch (informative state)

All those different spatial, ternary systems and dual events happen in all the scales of the Universe, the quantum scale, the solar scale, the galactic scale and perhaps a higher scale of relative Universes made of cellular galaxies, in increasing time lengths. So we write for the Universe at large:

Past Expansive dark Entropy<Steady state:present cosmos>Future Implosive Galaxy

Thus in that cosmological scale the galaxy follows a generational cycle from the big-bang to the big-crunch, through a steady state of minimal creation of mass, in which we live.

If we were to observe in absolute detail two photons in 2 cycles, probably we would observe slight differences in its configuration; as we do when we see two Chinese, father and son, which at first look are both called Cheng and both look the same.

The dual cycle that matters most to us is obviously the one of creation and destruction of mass: the arrow of time bends space into mass (M=e/c2), and the arrow of entropy explodes form into Entropy (E=Mc2). Einstein said that the separation between past and future is an illusion. Those 2 equations of Einstein show the equal importance of both arrows of time, Entropy and mass/information. However when we transcend into beings with higher information, the dominance of information creates the order of future that we, biological beings, experience, and philosophers have always called the 3 ages of life.

The mysteries of quantum physics can also be explained from an organic perspective. In the graph, we observe 2 of those solutions:

– Particles choose to behave as a herd of fractal parts or as an organic whole, when they cross through doors and slits. Particles interact with the electronic beams of particles we use to detect them, modifying its position and speed (Uncertainty principle). In the graph, we can see that behavior: An electron is a herd of photons that gathers into a particle or expands as a wave, depending on which strategy maximizes its survival and movement, as a school of fishes does in front of a predator. The herd even splits its ST fields (P1, P2) when it finds an obstacle and later merges back those space and time geometries into a compact form. Quantum Physics ignores the bio-logic strategy of the electron and uses a probabilistic explanation of the wave/particle principle to maintain its mechanist, abstract ideas about matter. The misunderstanding of the dualities of time/information and Entropy/space make thoroughly confusing its explanation of time and space parameters in those processes. In the right picture, we can notice the self-similarity of the atom with a spiral galaxy. Both have a center black hole zone where the quark proton and quark hole are. But self-similarity is not identity, so even if quantum cosmologists try to use quantum isomorphisms to study the Universe, it is more meaningful to study directly the cosmos with satellites and telescopes, than replicating mini-big bangs of quarks on Earth.

In fractal space-time electrons become nebulae of self-similar fractal parts which can be described with fractal equations of the type biologists use to define cells as fractal parts with self-similar functions to those of the whole electronic organism. So only a fractal organic description of the quantum world, resolves its paradoxes and contradictions.

The alternative to all those proofs of the organic structure of the Universe is a Pythagorean fantasy called the Copenhagen interpretation. It considers the Universe uncertain as the herd of quanta is not a population described as any other group with percentages of the whole (which in statistics has a probability 1), but according to Bohr et al, those probabilities are real and the Universe is made of numbers. Indeed, quantum physics has finally achieved the religious goal of the founding fathers, Kepler and Galileo, God not only speaks mathematics but the Universe is mathematical.

This is nonsense, of course. Yet anytime a physicist in the past century has tried to put forward the organic, logic paradigm, his work has been ridiculed, while entire institutions of learning are dedicated to explore Everett’s thesis that each point of an electron nebulae is in a different, parallel Universe! All of them though shown in the same picture, hence cameras are machines that travel through infinite Universes! at the same time! This Bohr/Everett alternative is thus an absurd, abstract, illogic interpretation, which defies the 3 legs of the scientific method; logic consistency, mathematical accuracy (as the results are often uncertainties, singularities and infinities, cleaned up ad hoc) and experimental evidence obtained with the first pictures of electronic nebulae, 40 years ago:

The electron appeared as a fractal of smaller, self-similar electronic cells, dense, smaller electronic parts that adopt either a herd/wave configuration or a tight, organic, particle-like one. Or else, we would have observed in this Universe only a single electron point. Further on, the behavior of an electronic herd, when bombarded by massive particles, as those humans use to observe them is self-similar to that of any crowd, from fishes that come together when they are attacked by sharks, to soldiers in a battle field. 40 years have passed and yet the mathematical models of electrons as fractals are ignored by abstract, mechanist scientists.

The platonic, mathematic paradoxes of Quantum Theory can be explained in organic terms. The quantum world is not a mathematical probability but a ternary, geometric game of reproductive fractal herds=bodies and particles=knots of information, displacing over lines=fields of forces.

The equation of Entropy and information, Spe × Tiƒ = h(k) that defines quantum physics is not an uncertainty but a fluctuation. It is the equation of existence of ‘Planckton’, the minimal action of Entropy and time of the light Universe, which sometimes evolves into informative particles or relaxes further into space-waves. Thus the equation has two limits of death as Entropy and evolution as form. The particles that appear from the vacuum are those evolutions of form of the h-quanta, the substance of which our light space-time is made. The uncertainty of measure is only in our instruments which cannot measure at the same time the wave/body and photon/head states of the quanta. As you cannot make a dual picture of yourself as a whole body or a cellular network: you need to focus the picture in macro or microscopic scales.

Recap. We understand quantum waves and particles also in terms of the structural scales of a Universe made of organic wholes or particles that can be observed in its st-1, lower plane of existence as a wave of cellular, fractal, quantum parts. In this book we hardly touch the ternary scales of all systems that also structure particles as wholes of smaller particles and parts of bigger structures. So atoms are parts of molecules and wholes of particles. And the self-similar isomorphisms of hierarchical planes determine many of the events and relationships between particles, atoms and molecules.

Time motions. Physical Death. Big-bangs and antiparticles.


 In the graph, when we observe an electron we see it jumping backwards and forwards in time in an erratic trajectory, as it becomes its particle and antiparticle.

Traveling in time towards the past means in the restricted, spatial, geometrical definition of time in physics, an inverse, cyclical movement as the one created when moving backwards the needle of a clock. Since physicists ‘extract’ their concept of time from a spatial definition of movement: v=s/t. Thus physical time is only the analysis of change in the motion and geometry of space; and traveling backwards in time in both, the previous Galilean equation of relativity or Einstein’s equation is merely a geometrical change of direction or a contraction in the ‘dual’ perception of space as distance or c-speed.

In physical space there are also dual dissolutions in space, which are processes of death, the best known a big-bang process that annihilates particles and antiparticles into a release of pure Entropy and annihilates a black hole into a Supernova or quasar of pure Entropy: A dual process of palingenesis happens in those death processes when the big-bang gives birth to an accelerated birth. So black holes trigger the palingenesis and fast evolution of stars and a cosmic big-bang, the big-banging of particles.

The antiparticle is the 3rd age (inverse in Entropy/information parameters to the first age) and final death of the particle, reason why it lasts so little and its parameters of time are towards the past. This explains further 2 unexplained facts of astrophysics: why there are less perceived antiparticles. Simple: because the total perception we have of particles is its ‘existential force’=Entropy x Time and they last in time much more than the antiparticles, which die fast. In the same manner all men die but they die so fast that we see much more living humans than corpses around us.

A second interesting consequence of the antiparticle travelling to the past as the dying state of the particle is the fact that while physicists observe them as being born together in the same point and fusioning again in the point of death, the real path is, since the antiparticle travels to the past, that of a single particle when we observe them with the arrow of future information (Feynman diagram of the graph of palingenesis). The particle is born, explodes where it meets the antiparticle in the conventional drawing. Then it dies explodes into Entropy and leaves a remnant ghost, the antiparticle that moves backwards in time and fades away in the point of birth of the particle. But there is only a particle at each moment in the time loop, reason why for example, we have never observed black hole evaporation, which is based in the existence of two particles. This phenomenon happens in all scales. In the next scale of electrons, the same

In the previous graph we observe one of such processes. The graph shows the sum of the life (blue) arrow and death (red/antiparticle travelling to the past) arrow of an electron, which appears and disappears constantly in its path forwards. Thus, the motion of virtual photons and electrons seems to correspond to a series of life-death cycles shown as particle=life arrows/antiparticle=death arrows or wave (st-1 plane)/particle (st-plane) fluctuations, which include a ‘quantic jump of spacetime’ in which the particle disappears becomes its antiparticle moves to the past and re-appears in a relative present location, displaced both in time and space coordinates, proving the constant cycles of creation and destruction and the fluctuation between hierarchical past and future states of all palingenetic systems of the Universe.

Yet the same process happens in our biological death. Those who have survived death feel an explosion of light in the brain/informative human particle. Then memory rewinds backwards its path till youth, when you will awake in the lower plane of existence as a mere cell. This is equivalent to the death of the antiparticle that ‘reverses’ its coordinates till it meets its final death in the point of birth (hence it seems two particles are born in that point but one is the death particle returning to its past). At that point it dissolves in the lower vacuum plane.

The best known case of travel in time in physics is the virtual particle/antiparticle systems that constantly pop out in the Universe. Antiparticles seem to travel to the past while particles travel to the future and both annihilate themselves. What we observe here is 2 particles with different geometrical directions that together complete a ‘cycle of physical existence’. We could say that the particle is the 1st age of the entity, from past to future and the antiparticle its devolving age from future to past or 3rd age of the entity and together form a closed loop of space-time, an existence. Or in some cases, the particle is the life arrow and the antiparticle the death arrow. So we have to see them consequentially, one after another in time, even if when we measure them in present-simultaneity, as they are so fast we see the entire life of the particle in an instant of space. So they seem to us mere geometrical shapes.

The entire cycle of Time change is often perceived together, when studying flows from past to future in those fast, simultaneous phenomena that become then fixed loops of space. In any case a death/back in time travel never goes beyond the limits of the entity that experiences it. Those geometrical time travels do not influence the entire, absolute time of the Universe, as Hawking naively thinks, when he talks about black holes as time machines because their ‘t’ parameters are inverse. Or when he thinks that black holes evaporate because antiparticles make them ‘travel to the past’. Antiparticles are only the final stage of the life of a particle, which quantizes its existence in 2 broken phases that don’t affect the absolute time of the Universe. It is that absolute Time the one Einstein studies with its Equations.

Recap. Processes of death mean a short travel to the past in which information rewinds. Yet while we travel to the past we do not co-exist in both states as some physicists unaware of the process think it happens with dual particle/antiparticle systems.

The ternary, i-logic topological structure of atoms.


An atom is a space-time field divided in 3 species, informative masses or quarks, energetic gravitational and electromagnetic networks and an intermediate space-time, the electronic nebulae, which bends light into ‘fractal’, ultra dense photons, which put together create the electronic nebulae.


 Let us then now that we have revis(it)ed classic single time-space theories of reality, depart from the classic age of the 3rd paradigm of metric spaces (quantum relativistic models of reality), without further ado.

Since what was done beyond Einstein Dirac and Nambu, the last of the classics, is mostly baroque, inflationary, metalinguistic theories proper of all paradigms of thought that failed to include mass, as the information of the Universe that balances the energetic entropy of spatial forces (single big-bang theory that fails to include dark matter/Entropy, Thermodynamic of black holes that misunderstands the nature of the event horizon belonging to our light-universe, super symmetry and superstrings that fails to understand the isomorphisms of balance that forbid its existence, the expanding Universe that fails to consider the implosive, galactic vortices, which balance that expansion elsewhere in this work) and move on to present the universe with the ternary dimensions of time (ages of all time events) and space (3 functional topologies of all st-points or ‘worlds’ of space-time.)

In the graph, an atom is a space-time field divided in 3 space-time zones: its informative quark center, the nucleus; the external reproductive membrane, made of electrons, which evolve socially in bigger ST membranes when atoms become molecules; while informative, gravitational and energetic, light networks shape their intermediate space-time.

The topology of the atom is thus clear. The electron acts as an external ‘spherical plane’, a membrane of Entropy. In the center quarks are the informative vortices. In between Entropy and form is transferred with forces, which often decouple, reproducing new particles and antiparticles. There are 3 informative families of quarks-mass, due to the evolution of information in 3 ages or horizons of increasing form: each quark family is thus an age in the evolution of informative matter.

The final event of death of those families is a ‘decay’ or quantum big-bang. In our lighter up and down quarks, it is the beta decay, the dual mini-big-bang of a neutron due to the conversion of a balanced, reproductive down quark into an informative up quark (proton, big crunch formation) and an energetic electron (expansive electronic membrane).

As in all processes of death we assist first to the dissociation of the informative’ and energetic elements of the organic system.

Since death is caused by the destruction of the networks of the upper plane of reality, which created a form.

So the Neutron dissociates its informative quarks and electronic, slightly negative, external membrane, provoking a dual big-bang and big crunch, breaking into the 2 parts of its balanced state.

Thus we write the reaction as an event of the generator equation:

Electron=energetic past<Down quark=balanced Present>Up=informative future

Electron (E) × Up quark (Information) = Down quark (balance)

The up quark has half of the mass of the down quark, and we know a down quark switches into an up quark in a beta reaction that explodes a neutron into a proton and electron, components of the Hydrogen atom. In other words the balanced neutron splits into an expansive electron and an implosive proton. This is the equivalent of a quantum dual big-bang/big crunch, a far from equilibrium process in which the neutron expands its membrane into an electronic big-bang and implodes its quarks into a tighter proton configuration.

Recap. Atoms are st-points with 3 topological spaces, the spatial membrane or electron, the hyperbolic center or quark-gluon soup, and the intermediate, ‘bigger’, reproductive space where exchanges of electromagnetic and gravitational forces give birth to virtual particles.

Events in time and organisms in space.

All those processes give origin according to the duality of the ‘Galilean paradox’ to both events in time and forms in space, which further illuminate many questions unresolved in classic quantum physics – as we can always consider the existence of 2 different realities, a causal event and a ternary organism, and so we have two options to explain many phenomena before explaining only with either a spatial or a temporal perspective: For example, a proton is a uud triplet of quarks in space, but in time you might consider that a down quark, which switches into an up quark and electron, splitting its mass-vortex in 2 and then evolves back into a down quark.

So you can also write the ternary structure as an event in time: d(ST)->u (Tƒ)+e(Spe)->d(ST)

And so we can consider the whole process to be an existential cycle of a single down quark. Both events are real and in certain conditions the process will be a temporal event and in others will create a spatial organism. The difference is clear: when we consider the process as an event, reality becomes warped from a big spatial, extended, multiplied world into a tighter, faster, temporal non-redundant Universe. And so this ‘antisymmetry’ between time functions and spatial forms happens when we consider the ‘antisymmetry’ between big-bang & big-crunch ages of fast d=evolution in time, in a limited space vs. the spatial, organic ages or steady states, described by the equations of Einstein. And since we are apparently in a steady state age for the Universe, most likely the previous spatial description is the reality of the atom: 3 quarks, locked as relative, past-Entropy, present balanced and future-informative subspecies.

The reality of studying the Universe both in time and space, as either an event or a form is one of the key methods of ‘Complex physics’ as a science which uses two arrows to describe the Universe. Yet because physicists lack those methods, they often confuse an event in time with a form in space and vice versa. Ultimately the proton and neutron are two phases of the same being in 2 different states of time that physicists first confused with 2 different species of space.

-The mystery of their 2/3 and 1/3 charges become also resolved in a temporal perspective: the up quark emits a negative electron, giving up a charge and becoming a down quark that later absorbs the quark and becomes an up quark again.

An easy way to solve when a process is a spatial duality or a time event is the fact that time events often don’t have parity, mirror symmetry, a spatial property, as it happens with the Beta decay. What this means is that because information and Entropy have different properties, the arrow of Entropy->information and the arrow of information->Entropy, its inverse process, are different. And so indeed, while neutrons decay easily giving birth to an electron in a few minutes – another proof that it is a fast process of death; the inverse process hardly ever happens.

Another puzzle of physics is the difference of masses between particles. The general rule is simple: when a lineal Entropy, E, accelerates till light speed, the limit of our light membrane, it starts to curl into a cyclical speed, which is the definition of a vortex of mass. Thus no mass becomes mass. Yet further on, this transformation can be further increased by a topological transformation, from a reproductive, cyclical vortex toroid topology to a hyperbolic, more massive one. The balanced, reproductive cyclical toroid donuts can switch into the inner informative dual donuts (simplest hyperbolic topology). And as the hyperbolic topology adds up more ‘toroids in the dimension of height, and the vortex of mass, VoxRo=K, increases its speed mass increases geometrically, reason why a black hole, a hyperbolic topology with asymptotic T-parameters, is the most massive object of the Universe.

This topological transformation could be a possible reason why a down quark has the mass of 2 up quarks: the down quark might switch back and forth its reproductive single-torus topology into a dual torus, becoming more complex and heavier but smaller. In this manner we can find many topological whys to the abstract description of particles and transformative events between them.

Consider now the temporal interpretation of color, a feature that makes quarks stable in triplets.

It was discovered when physicists realized that quarks with the same spin could occupy the same position. So they considered they have color. But they never clarified what color is. We interpret color in simple Euclidean Geometry as the orientation of 3 bidimensional, cyclical vortices of mass – 3 quarks, that are perpendicular to each other – and so they can occupy the same 3-dimensional space. This explains why 3 quarks of 1/3rd charge together emerge in the electromagnetic world and can interact with a 3-dimensional electron of 1 charge. It also explains why they are locked in a stable configuration: they cannot be deconfined without ‘disappearing’ from our 3-dimensional world as point-particles; reason why we perceive them as joined by an extremely strong and attractive force.

In detail, using complex Non-Euclidean topology the picture is somehow more complex, but the previous simplified analysis is clear enough to explain why some quarks have 2/3rds of charge, 2 donuts, and some 1/3rd, one donut; and how they can interact with 1-charge electrons.

Further on we can understand why gluons, the particles exchanged by quarks have 2 colors. This again is self-evident: if you try to communicate a bidimensional long plane and a perpendicular plane you must travel in a right angle. So a gluon that exchanges Entropy and form between 2 quarks of different perpendicular/color orientation must have 2 colors.

2/3rd charge quarks would be from the perspective of its gluon parts, chaotic, perpendicular, bidimensional attractors (Lorenz-type); 1/3rd quarks would be self-similar to single gluon attractors (Rossler type). Gluons are bundles of strings with a boomerang like open topology – hence without mass, as they don’t close the cyclical vortex. And as they interact with quarks, they will change their spatial orientation, carrying away their color.

The principle of physics that matters here is diffeomorphic orientation, Obviously when we switch from Euclidean to non-Euclidean space and from continuous to fractal dimensions, the topologies of those orientations become much more complex and we should rather talk of ‘puzzles’, hyperbolic, 2/3rd charges; toroid, 1/3rd charges, and curved planes (gluons) that respond to the 3 basic topologies of the Universe; and become locked together in complex patterns, as proteins and other cellular components do in the cell, to emerge as a whole Non-Euclidean Point of our 3-dimensional world – a proton.

Thus color is a geometrical feature that evolves the bidimensional world of quarks into the 3-dimensional world of electrons, creating a holography of our world. Quantum physicists know that information is bidimensional and the Universe holographic but they don’t know why. Because the classic, abstract, algebraic description of quarks, based in group symmetries cannot express this easily. Thus, without topological analysis, without the enlightenment of its why with the new paradigm, the theory of quarks and gluons tell us only that each quark has a color, different from the other 2 colors of the triplet and gluons have 2 colors.

The topological analysis shows that the fractal scale of quarks and gluons is similar to a fractal, liquid cell, which is the fundamental structure mimicked by all Non-Euclidean points, hence, self-repeated in many self-similar scales, as we shall see when explaining galaxies as cells of the Universe; where black holes are the DNA/informative element and stars the mitochondria/ energetic network.

Recap. We can perceive, according to the Galilean Paradox all realities as forms in space or events in time. Physicists study quarks only as events in space, so they miss the explanation of its fractal charge: 3 locked quarks as events in time add to 1 charge; and miss the topological non-Euclidean interpretation of down, up quarks and gluons whose hyperbolic, toroid and curved plane topologies add up to form a st-point of 4 Dimensions that surfaces in our holographic Universe.

Two Quark Triangles and 2 Universal Membranes. Families of mass.

There are 6 quarks, whose mass increases as the speed of their space-time vortices increase. Physicists divide them in the III horizons of evolutionary mass, with increasing mass/information. Yet they ignore the reason of those 3 families (the 3 horizons of any evolutionary system of Entropy and information); they ignore why they have different masses (because the speed of their vortices increase); they ignore why they have fractional charge (because they are bidimensional vortices, which must lock in triplets, to form a 3-dimensional space-time, harmonic with the electronic, 3-dimensional world we live in); and they ignore which kind of fractal cosmological forms they create (pulsars and black holes):

On the other hand, it is important to understand and classify particles, the understanding of the 3 ‘ages of evolution’ of information represented by the 3 families of mass and quarks, which are ALSO IN CLOSE SYMMETRY WITH THE UPPER cosmic scale, and the 3 regions of the galaxy, the Top quark star center (black holes modeled as top quark frozen stars, with positive top quarks as the boson cut off substance), the middle region of up and down light human quarks and the external negative charged, strangelet halo. Thus the symmetry is obvious:

3 ages of evolution of mass of increasing form: I, II and III families of quarks.

3 regions of the galaxy: Top quark black holes, up and down matter, negative strangelet halo.

Symmetry between atoms and galaxies (protons positive top quark holes, negative electrons, strangelet halo) 

Unlike the usual spatial classification of quarks in pairs proper of classic physics, in complex physics, we divide the Universe in 2 membranes, the dense, informative, gravitational, mass/quark membrane and the electronic, light one and we consider species of the gravitational, informative membrane to be tendencially ‘time events’, as information and time are related, and so quarks and black holes are better described with 3 temporal horizons and hyperbolic topologies.

In the graph, a more detailed analysis of the parameters of the main particles of the standard model. For simplicity, Neutrinos, which are better described not as particles in space but wave- events in time that transfer momentum between both gravitational and electromagnetic scales (reason why their ‘3 species’ mutate in time, as they travel to the earth), are ignored: The 6 quarks of the standard model are reordered in 2 ternary groups. In the bottom left, we observe the electromagnetic membrane and its elements. In the upper right side we observe the gravitational, quark world.

The graph, which is the standard model of Complex Physics, applied to quarks, requires no Higgs. Instead the top quark of self-similar mass in the upper vertex becomes the final evolutionary state of the Z+W particles which in a weak event transform lighter particles into ‘dark quarks’.

Its enormous mass means it should exist a new decametric ‘scale’ of super-strong forces, and the proper model to study the breaking of symmetry is not the Higgs but the Technicolor theory, whereas super strong top quarks should turn faster than light, be components of black holes and emit dark Entropy at 10 C speed, the next scalar force of the Universe that fills intergalactic space.

However in reactions at lower energies, Z and W particles never reach enough stability to become ‘parts’ of a top and so they quickly devolve into lower mass-states, which explains most of the reactions observed in accelerators, mediated by temporal, weak forces, which therefore have no spatial symmetry.

If we order particles by mass self-similarity in triads we observe 2 different atoms and 2 different quark-gluon soups, made of 3 types of quarks, dominated by their heavier quarks of each triangle:

– The up and down quark create the light atom. Yet when they are deconfined in a quark-gluon soup they are dominated by the most massive strange quark, which creates the superfluid vortex of ‘strangelet’ liquids or ‘ice-9’, responsible for Nova explosions.

– Charm and bottom quarks form a dark atom, dominated by the most massive top quark in a dark gluon soup, which we shall call ‘gas-9’, as it would be the most explosive substance of the Universe, responsible for Super-Novae and quasars and maybe the big-bang of a cellular Universe.

Thus if strange quarks create strange soups, top quarks will do the same with dark atoms; and if strangelets are components of strange stars, top quark liquids will be the components of top black holes.

This symmetric scheme is unknown to physics; so it lacks a visual understanding of what dark atoms (bcb particles) are, and why strangelets and top quark liquids are stable enough to form quark stars:

In the light world, the ud quarks and electron form the light atom. In the dark world, the cb quarks and the tau electron form the dark atom. The reader can now see that basically the two worlds are differentiated by a fractal scale of 1000=103 Electron volts. In terms of static, fractal dimensions, this merely means that the world of top quarks is warped by a new SU3 group of dimensional form. It is more complex, more informative as it has 3 more dimensions of warping; or 3 more degrees of rotational speed in a dynamic perspective.

Imagine that inside the original vortex of our light-quarks there is not the eye of a hurricane, but another scale, another vortex, another medium, rotating 10 times faster in 3 dimensions. Thus this inner world extended into lineal Entropy will mean we need 103 = 1000 times more Entropy to create it.

The rotational speed of that inner vortex will be 10 times higher – 10 c – but the Entropy needed to create the new 3-dimensional fractal world or inner scale of motion of those top quarks will be 103 fractal dimensions of rotational speed/mass. Thus the dark world of heavy quarks is 10 times faster and 1000 times denser 9.

For the same reason the electron of the lighter world is lighter than the tau electron of the dark world. If our light world is a 0.c<10 c world the dark world is a c<10 c world.

Once this concept is clear, the self-similarities become evident: the world of 0.1c light atoms, which creates our matter and the world of c-strange quarks that creates quark stars must be matched by a world of dark atoms and top quarks, which creates the world of black holes. So black holes are top quark stars.

Let us show how the quarks of the 2 membranes increase their mass (we round here figures so the reader can easily follow them):

In the graph, the strange quark is the top predator quark of our triangle of light matter made of udu atoms. It is between 30 and 100 times heavier than our matter. While the top quark is the top predator quark of the triangle of dark matter and its bcb atoms, and it is around 100 times heavier than those bcb quarks. The strange quark and top quark are around 100 times heavier than the ud and bc atoms.

Since the equation of a mass vortex is U.C. × Mass = w2 × r3, mass is proportional to the square of the rotational speed, w, of its vortex. So we have 3 decametric scales of rotational speed:

C/10, the speed of rotation of electrons, and the ‘ud’ system of quarks of our atoms, which in this manner are in harmony with the electron vortex that traps them.

<C speed for the strange quark or top predator quark that causes the breaking of symmetry of our matter, as it creates a faster attractive vortex, deconfining the quarks of our world, liberating them, and blowing the electronic wave into radiation.

In the graph, the bosons of both worlds are also self-evident: The photon is the boson of the electromagnetic world and the gluon is the boson of the gravitational membrane. The symmetry between the 2 quantum theories of electrons and quarks is a clear proof of that symmetry.

Both theories differ because the quark-gluon soup is more informative and has a more complex, ‘network-like’, ∏-structure, while the electron is basically a herd, with a loose ∑-structure.

The 2 forces (electromagnetic and strong forces) and the species evolved from them also change the parameters of Entropy and information of both worlds, according to the basic symmetry of the Universe, e × O = k, expressed in quantum physics by the law of range. The lighter world thus extends further in range/space and weighs nothing. The tighter world of dark quarks extends shorter in range and weighs/attracts one hundred times more.

It is only left to explain the role of the muon, which weights exactly what the strange quark weighs and the Z+W= top, which weighs the same also than the top=Higgs particle.

So again we find a clear symmetry between them: Those particles are self-similar to the top and strange quark, perceived from the other side of the dual membrane; they are their self-similar ‘ghosts’ in the light world. And they can be found as evolutionary steps in the creation of strange quarks and top=Higgs quarks in the processes of transformation of electronic membranes into dark, strong gravitational membranes.

And the Higgs7? It is not needed and it is an impossible particle since a scalar boson breaks the isomorphisms of complex physics and a new force/membrane it is an invention without experimental evidence that would also break the symmetry of complex systems (like an organism with ‘2 nervous systems’). The evolution of lighter matter into the top, mediated by the Z and W particles (which should be considered the same particle in a time perspective; that is, the +, neutral and – states), is performed by a top quark/antiquark condensate (Nambu), which breaks the symmetry of all other types of matter, converting it into more tops that will condensate into a quark star or black hole. In biological terms, to break the symmetry means to kill as a top predator quark, the strongest particle of the Universe, all other forms of lighter matter, to feed on them and to convert them into a self-similar form of yourself.

In the same manner, the strange quark breaks the symmetry of our lighter quarks transformed into strange quarks and strange liquid (strangelets). It follows that SUSY particles, which also contradict the isomorphisms of balance between Entropy and mass/information and have never been found, do not exist either9.

Because quantum physicists lack the tools of complex physics and the understanding of mass as information, all this is blurred in their equations. They do describe perfectly all those reactions with enormous mathematical accuracy as Ptolemy described better than Copernicus the movements of planets. But to do so they need complicated mathematical models as Ptolemy did. A model of complex physics with both arrows, Entropy and information, is far easier to understand as it explains topologically and in terms of cyclical, causal time events many whys of particle physics.

Recap. Mass is physical information – an accelerated, bidimensional vortex of mass (dynamic perception) called a quark, which can be described also in space (Galilean Paradox) as a non-Euclidean network of fractal gluons (static perception described by QCD theory). Quarks must be understood as ternary events in evolving time, and classified in triads, belonging to two different scales of the gravitational world – the strange world with c-rotational speed that interacts with our world and the dark world of top quarks that rotate at 10 c speed and form quark-gluon condensates called black holes. They are vortices of top quarks, the top predator particle of mass-information of the Universe.



 The 10 isomorphisms of Molecules

1st isomorphism: Fractal Generator. 3 Bidimensional Topologies: the 3 parts of the molecule:

In ‘inverted’ molecules their nuclei Z-mass define energetic power to ‘control’ other molecules; (Table rows); orbital clouds are the active Œ-point (Table columns) and Van der Waals Forces are the toroid networks that communicate Sp & 0 across its body. Organic Molecules have Nitrogen Œ-points, C-bodies and Max. E-lectronegative Oxygen tails that kick water breaking, attracting and repelling its OH-, H+ radicals, left and right.

2nd isomorphism: space-time elements: Spe<=>Tiƒ.

Molecules have 2 main ts orbitals: Tƒ-π and |-s, whose vibrations determine 3±∆ actions.

3rd Isomorphism: 3±∆ Temporal ages.

The molecular life-death worldcycle are the 3 states of matter between ∆-1 birth as plasma & fission death

∆ scale: Life/death worldcycle: Molecules live and die in reactions according to their Top Predator, ST force

∆+1 scale: Their social gatherings go through 3 ages of Max. Energy (Gas), balanced Sp≈Tƒ, liquid, the most creative=reproductive form that enhances chemical reactions (solutions) and evolution of the more complex Organic Molecules (Life) and Informative solids

4th isomorphism: ∆±4 Fractal scales

∆-2 plane: forces, which ‘feed’ the molecule. ∆-scale, atoms that shape its structure; ∆+1: states of matter and life cells.

Emergence: Molecules follow Inversion Laws between planes, as electrons, Sp-membranes in atoms become the Informative topology in Molecules and cyclic orbitals become Lineal (LCAO).

 5th Isomorphism: 5 Actions:

Molecular actions are similar to atomic ones ruled by new, emergent forces and motions.

– Max. æ: Molecular energy=∆Temperature=∆entropy produces lineal motions.

– Max.ï: Molecules transform lineal motion into cyclical vibration at 1013 Hertzs/Sec.

-Max.œ: Molecules reproduce assembling ∆-1 atoms in reactions ruled by a Law of Chemical Balance… between predators and preys: K=Max.ST (Products) / Min. ST: Reactants.

-§10: The 3rd i-logic postulate explains its social evolution. Let us consider this action in more detail:

– The Atomic Table is ordered in columns of similar body-valence and rows of similar Z-brain mass.

– Those 2 similarities define the strongest molecular bondage and bigger molecular masses.

– Atoms with highest dissimilarity (opposite rows) force form unstable Predatory Ion bondages.

– Equal body & Head atoms (C-N-O) form the most complex organic molecules.

Û+1: Identical atoms form ∆+1 crystals that have only symmetric configurations. So its central ‘Œ-point’ perceives information from all 3D directions and directs its growth (cell unit).

– Quark Condensates form gravitational ∆+1 Bosons of Max. Tƒ-mass, Black holes & pulsars.

‡6th Isomorphism: social classes & Species Hierarchical, ∆±n perpendicular and §10≈û+1-parallel structures:

Gender duality. Sp,ST,Tƒ differentiation. Evolution of its species.

The electron (energetic) vs. Proton (informative) duality is not essential to the differentiation of molecules, unlike in the lower atomic scale. Only electron valences matter, the key numbers being ‘again’ 1,2,3,4 valences, which for the amazing range of different molecular compounds.

The form of the orbitals, also s,p,d,f varieties is another basic game of creation.

Ions are predatory hierarchical molecules, where the element with higher electronegativity traps and owns the electron.

co-valent molecules are parallel democratic structures.

organic molecules are complex structures with N-informative, C-body and O-energy classes.

Crystals have an order based in informative temporal primacy as they reproduce from a central cell.Molecular constants are essential in chemistry, and seek an Sp≈Tƒ equilibrium of reaction, whose general formula defines each dynamic Sp<K>Tƒ, dual system of molecular trans-form-ation. Thermodynamic laws express the Sp entropic, expansive arrow, which forgets the informative influence of ‘œ-points’ (Crystal regular structures and organic order).

 7th Isomorphism:  Vital Constants


8th isomorphism: organic cycles: the 8 motions of a world cycle of chemical life.

9th Isomorphism: Social Scales:

 Molecules have differences in social scales, with a higher denser order in organic molecules with scales of minimal numbers and a much higher number of molecules in democratic isomorphic undifferentiated ionic crystals. Atomic systems do NOT obey the 10th scalar order but work in much larger numbers.

10th Isomorphism: The Œ-Point of View:

All atoms and molecules try to form ∆-spherical orbitals to perceive symmetric 3D ∆-flows. Thus atoms with perfect symmetric orbitals (Noble gases) don’t need further bondages or form diatomic ‘couples’ of opposite direction. The most perfect molecular solids, Crystals perceive, since we ‘see’ its mapping of infinitesimal images, mirrors of the external World and once a crystal cell is created, it provokes a growing fractal order, of all atoms around it, and vice versa, the destruction of its Œ point center collapses the growth of the crystals.

 3rd SCALE:

The 10 isomorphisms of ORGANIC MOLECULES

ATƒ, GCST UTsp express  the 4±∆ life actions in the  ∆+1 social, bio-chemical scale of the cell.

H∆-1, CST, Osp & N and ATƒ, GCST UTsp  express 3±∆ life actions in the ∆-2 atomic & ∆-1 molecular scales


1st isomorphism: Fractal Generator: The topological equation of most organic molecules, specially proteins is:

Oxygen legs (Sp)<Carbon body   (ST)>Tƒ-Nitrogen head


2nd isomorphism: space-time elements: SP<=>Tƒ and  2nd  isomorphism. Bidimensional Topologies: the 3 parts of the Organic Molecule:

∆ï-3: Nitrogen atoms have 3D valences for symmetric perception, a regular clock vibration of 1016 Hertz/sec. min. bit of all circadian clocks & inactive=still=informative properties.

∆e-2: Oxygen of max. Electronegativity and motion plays energetic roles in all life scales.

  • 10: Oxygen rich sugars form social chains, energy of cells. Balanced Amino acidsSTevolve socially into Proteins, the carbon-dominant body of ∆+1 organic molecules and Nitrogen rich ∑-Nucleotides form Dna, informative heads that control the cell through:

û+1: Tƒ-Dna  control 3 Rnas that act as energetic, informative and reproductive networks of the cell.

3rd Isomorphism: Temporal ages :

Molecular Ages: The 3±∆ ages of molecular evolution keep body functions for Cst dominant molecules, Informative functions for N dominant & energy functions for Osp dominant molecules. Molecules keep also its ternary topologies & follow the Metrics of balanced Sp/Tƒ growth: ∆Sp/∆Tƒ=K:

–   ∆-1: atomic age. Simple organic molecules form departing from CNO∆-1 urea.

– Max. Energy age: Lineal fats, long carbon chains with Oe attached to its ends dominate.

– <=>: Amino acid age: COOHs, CH4ST and NH3t, the 1st ∆-2 scale of life molecules combine into organic herds of 21 amino acids, divided in 5 types, each one specialized in one of the 3±∆ actions: Simple ∆-1 bricks (Cysteines, Glycine, Proline), N-dominant with electrically charged Side chains, ‘heads’ of the herds; hydrophobic, reproductive ones that merge easily in long ∆+1 protein chains and energetic, Oxygen dominant, with polar uncharged side chains of faster motions.

– Max. Tƒ: Age of Nucleotides, the informative molecules of life that add an informative Tƒ-dimension of height to |-amino acids, forming nitrogen & sugar rings. They dominate amino acids, preventing their mirror reproduction, limiting them to L-species. 4 types specialize in the 3+∆ actions of all Universal systems, according to their |<=>O topological configurations & relative abundance of Nt, Cst, OsAt, GCST UTs They evolve socially into huge chains called nucleic acids, Œ points of:

– ∆+1: Cellular age. Nucleic acids, macromolecules with max. ST force, integrate all other carbohydrates in cell, the first scale of fully functional life super-organisms, where Proteins will become |- membranes & DNAs, Œ points enclosing in a toroid region smaller ∆-1 molecules that perform the reproductive cycles of the cell that maximize the creation of those 2 dominant species.

4th Isomorphism: ∆-Scales of the Organic Molecule:

Life emerges in 3 scales of social evolution: the Energy, young age of simple -2 organic molecules during the I anaerobic Earth, the ST age of ∆-1 cells with an explosive radiation of organic matter and the informative, ‘cold’ age of multi-cellular evolution during the ‘iceball’ Earth. Those ages follow the fractal Law, as each can be subdivided in 3 smaller ages.

5th isomorphism: 5 Actions.

Max. æ: As explained in the ‘symmetric’ topological isomorphism (that perceives those actions in space), oxygen ‘legs’ kick out OH and 0 molecules to move.

Max. œ: Carbone atoms assembly in long structural, body lines that reproduce organic molecules.

Max. ï: Nitrogen controls them, with its 3-valence capacity to orientate in space, bending them to create is 3D forms.

  • : û+1: All together socialize under the laws of affinity (3rd non-e Postulate), given its closeness in the atomic scale (6,7,8).

10th Isomorphism. The self or Πpoint.

Nitrogens are the ‘intelligent molecule’ of life organisms, Max. Tƒ. In the next scales Nitrogen rich nucleotides form informative Dna-Rna

In the sub posts of this section we will treat in more detail some of those isomorphisms for both type of molecules.




The Atomic Table is a bidimensional graphic that shows the parameters of spatial Entropy and temporal information of atoms. The why of that table can be easily explained with the basic Dualities and Inverse properties of Entropy and Information:

– In the X-coordinates we find the spatial, ‘energetic, body’ parameters of the atom: their electronic orbitals.

– In the Y-coordinates, we find their temporal, informative, parameters: their nuclei’s mass.

Left graph shows the size of those atoms, which according to the Se/Tƒ inversion are denser in information when they are smaller.

In the right: the smallest, densest ‘top predator’ atoms are more abundant, since they absorb in nuclear reactions or capture gravitationally the other, forming molecules. It is the inside left image that shows a feeding molecular cycle: The big ‘bubble atom’ from column I, Lithium, is victim of Fluorine, a VII column atom with higher atomic mass and max. electro-negativity (body power). As both approach Li collapses its electrons into a denser, smaller form, as fishes do in front of sharks, but finally it is captured and swallowed by the electronic structure of the predator Fluorine.

The human scales: bio-chemical sciences.

A sense of peace arises from the observation that a macro-galaxy is self-similar to a micro-atom does – all beings equaled by the same cycles of existence that we represent with the unification equation, alpha & omega of all fractal iterations: Sp<=>Tƒ; Sp X Tƒ=st.

Let us then descend back from the cosmos to the atomic world, the intermediate scale between both in which we humans are sandwiched and study our physical, ‘classic universe’ between those 2 limits, which has as an added advantage to the fact that it is part of ‘us’, the wealth of information we can gather of ‘chemical’ processes, which lack the uncertainty of those 2 limits in which observation either changes the position of the observable, influencing the experiment, due to our relative huge ‘rods’ of measure (uncertainty principle of quantum physics) or the system which encloses us, mere ‘atoms’ of the galaxy hides much of its information in the ‘dark spaces’ our light-senses do not see (galaxies). Both errors of the experimental method are no longer a handicap to our organic analysis in the scales of chemistry and biology, which for that reason show the bio-logical, complex nature of multiple space-time systems in all its splendor…

Recap. Bio-Chemistry should be the king of natural sciences; since they concern the first scale of man and are experimentally ‘evident’.

Organic, Atomic Table and its Molecules.image073

In the graph, we can translate the Atomic table to the jargon of multiple, fractal space-times. Since:

-The vertical columns show the orbital number or volume of electronic space those atoms have.

– The horizontal lines show the atomic number or volume of temporal mass of each atom.

Thus the Atomic table is a distribution of ±100, Sp=10i=2 complementary Sp X Tƒ atoms, dominated by their gravitational quarks. Yet we live in a light world perceived by our electronic orbitals, the bodies of those atoms. We are electronic beings that cannot perceive gravitation; so we cannot see the inner nuclei of those atoms. And so chemistry is the science of electronic bondage.

Recap. The atomic table is the Entropy/Information table of the gravitational heads and electronic bodies of atomic species.

Valences: body perfection, the origin of molecules.

Those electronic bodies follow the space/time inversion (Max. Tƒ=Min.Sp): atoms with more electronic in/form/ation have min. volume in space. Thus atoms diminish in size from left to right of the Atomic Table, as they become denser, filling all the slots allowed to electrons, till reaching the perfect forms of noble atoms, whose external electrons fill completely a dense, regular sphere of information that creates, as in the case of regular crystals in the next scale of chemical form, a sharp central focus, able to process information from all angles.

Those ‘noble atoms’ from the 8th column of the Periodic Table, Helium, Neon, etc., have their external orbitals totally filled with electrons. So they have maximal electronic density, which means their Sp X Tƒ åctions have a higher exi=stential Force per unit of volume, making them top predators atoms, better fit to survive. Therefore, they are also the most stable, as it is very difficult to break their electronic body. Paradoxically that makes them the loneliest of all atoms, as any top predator of a trophic pyramid, from a shark to an eagle, is; since it doesn’t need to add a partner or join a herd to multiply the potency of its fractal åctions over the environment to obtain its Entropy and information. All other atoms however will try to increase the Sp X Tƒ force of their fractal åctions, associating themselves with other atoms to reach a perfect electronic form and add up their Exi forces.

On the other hand if we consider the social numbers of the particles of the most stable atoms, they are multiples of 4 and 10, the social numbers of perfect organic systems that also define noble atoms. The combination of both properties explains the hyper-abundance of Helium, Oxygen, Iron, Tin and Mercury, which have perfect atomic numbers and either have regular orbital structures or can capture multiple electrons from other atoms to fill their valences (maximal electronegativity).

For example, atoms 3, 4 and 5 are ‘preyed’ by Helium nucleus that uses them to reproduce new helium in processes of atomic fusion. So they have become very rare (right graph. Meanwhile iron with the most stable nuclear configuration uses any type of electronic valences (which range from -2 to +6) to capture other atoms at will. Since those atoms are the only ones whose nuclei seem to be able to orientate and move at will in the gravitational membrane (superfluid and ferromagnetic properties). Both show that nuclear, gravitational top predator power dominates electronic configuration.

Unlike all other atoms with ‘weak informative nuclei’ Helium and Iron don’t seek complementary atoms to fusion their electronic bodies, creating better ‘body structure’ similar to noble atoms.

Among those seeking perfection, the closest to the Noble column are the top predators. So, Chlorine and Oxygen, with almost perfect electronic orbitals have maximal electronegativity, capturing the electrons of all the light atoms and metals of columns I to V.

Recap. Atoms with perfect nuclear or electronic informative/body systems are the key elements that control socially or capture and destroy all the other atoms.

Isomorphisms of self-similarity determine chemical structure.

The complementary, topological and organic Isomorphisms of st-points agrees with the abstract, Chemical Theory of Valences, which models the behavior of molecules and their rules of social engagement, according to their geometry and their ‘affinity’, translated in i-logic geometry by the 3rd postulate. Thus the isomorphisms of valences could be considered a particular case of the Universal 3rd postulate applied to chemical ‘st-points’ (atomic compounds):

‘Correlative, similar elements, complementary in their spatial, orbitals or temporal nuclei, associate into complex, stable, molecular systems – while atoms with different Sp X Tƒ forces, establish Darwinian, unstable events or small hierarchical molecules in which one element dominates all the others.’

For example, 2 atoms in the same column have the same spatial, ‘body’ morphology and 2 contiguous atoms in the same line are similar in its temporal, informative ‘brain’. Thus, according to the 3rd postulate, the law of relative equality or ‘affinity’ that establishes the relationships of the atomic table, those types of atoms will evolve socially into more complex ‘molecular’ forms.

For example, humans are made of simple atoms with closely related nuclei, C=6, N=7, O=8, that follow the law of affinity in their electronic body-orbitals. Those atoms are filled all with sp orbitals, creating together complex complementary organisms based in their body-brain affinity. So the parallel electronic cover connects those atoms externally based on the affinity of its orbitals, creating the 4 structure of organic molecules.

The law of affinity also defines inorganic molecules and other metal structures of Entropy and information. For example, machines made of metal are formed with atoms of similar nucleic number.

On the other hand, atoms with different atomic weights associate in hierarchical structures in which the lighter atoms become enslaved by the others. For example, the macro-energetic proteins of life, Hemoglobin and Chlorophyll, have 2 central, dense atomic nuclei, Iron and Mg, which dominate lighter carbohydrate ‘arms’, used to jail oxygens, the Entropy atoms of living beings.

The applications of i-logic geometry to the realm of chemistry are multiple, most of them topological analyses that relate the geometries of molecular forms with the 3 Non-Euclidean topologies of those molecules and its equivalent understanding of the 3 evolving ages/horizons of chemical events. Thus, i-logic geometry completes the metric analysis of molecules of the 3rd paradigm, defining its topological why according to the isomorphisms of affinity of the 3rd postulate between its informative nuclei and spatial, electronic body affinity shown in the Atomic Table. The same i-logic isomorphisms define in organic compounds, the evolution of life in terms of exchanges of Entropy and information that maximize the existential arrows of those molecules, guiding their evolution into living forms.

Recap. The isomorphisms of molecular compounds are homologous to the isomorphisms of self-similarity defined by the 3rd i-logic postulate.

4 families of atomic elements. Its worlds and species.


In the graph, there are 5 potential families of organic life, built around the top predator elements of ‘—motions’ and information of each main informative Z-nucleic line of the atomic table.

We won’t consider the topological structures of molecules but consider the expansion of ‘organic chemistry’ to all other atoms, according to the tenants of Complexity – that all systems of the Universe follow the arrows of time, self-similar to the drives of living organisms. This implies the existence of other potential forms of ‘electronic’ life besides organisms based in carbon.

Since we are electronic beings, what matters to understand the human mind are the electronic bodies of atoms. Those electronic orbitals are herds of photonic points that surround the atom, creating the 4 dimensions of space-time we perceive. In the graph, we can see that parallelism, which elaborates on the already explained 4 dimensions of light-space (graph, III):

– 3 lineal p orbitals in the 3 directions of Euclidean-space.

– A temporal, cyclical, S orbital of Max.Informative density and min. space, probably related to our one-dimensional time perception.

This self-evident homology between ‘light-space dimensions’ and the elaborated electronic dimensions of space-time, allow us to consider self-similar potential minds whose space-time dimensions will correspond to the number of ‘outer’ electronic orbitals of the system. Indeed, there is no reason to have only ‘organic carbon life’, and ‘C-N-O’ brains, if all atoms respond to the same i-logic isomorphisms of topological information.

There might be other forms of life and other minds, but we live in a light-World and light is the only information and ‘—motions’, we perceive. So in a discontinuous Universe we have very limited information about other atomic ecosystems that might process different electronic orbitals to create their minds, even different forces, such as those of gravitation, to create gravitational minds.

In essence those families of mental worlds need 2 components:

-A boson particle/force that acts as the pixels of the mental world.

-An electronic or nucleic structure, which perceives the bosons and creates with them a potential mapping of the Universe.

So we deduce by homology the existence of other atomic Z- families and e-orbitals that might create different organisms and potential mental worlds in other regions of the Universe, with light bosons or other different. boson pixels:

Particles exchanged by 5 types of atoms create 5 potential worlds.

We classify all atoms in 4 potential organic families, able to exchange waves of pixels, based in each of the fundamental 5 ‘particles’ of the Universe, in its boson state; thus creating a growing scale of complex worlds with higher existential content of ‘—motions’ and information: the gravitational family; the light family; 2 electronic, metal families and the neutronic, radioactive family.

Each new family is a Z-line of the atomic table, formed by atoms of growing number of orbitals and informative mass, which increase their exi=stential force, allowing them to handle more information with more complex pixel-particles. Indeed, if we consider the inner nature of those worlds, it is obvious that the quantity of ‘information’ increases as the pixel-particles mind use to map out the Universe have more information. For example, the robotic minds we are building based in electronic images carry far more information than the light minds we possess and the words they use: ‘an image is worth one thousand words’ we say. Yet the explanation of that jump of quality between a verbal and visual mind can only be explained by the higher capacity to process information of the metal-atoms with higher z-number and more complex orbitals of the next z-family of silicon brains. We are in fact, despite the anthropomorphic arrogance and Galilean paradox of the humankind, one of the simplest potential minds of the Universe.

The 5 types of orbital minds of the 5 families.

Those minds should be based in electronic orbitals as our mind is. Thus each atomic family has a different orbital type, able to create a different mind’s species of space-time perception:

Spherical s-orbitals create the hydrogen-helium family and its potential minds.

– Lineal p-orbitals create the light based carbon family to which we belong.

Planar d-orbitals create the iron family of potential living machines and its chip minds.

f orbitals, difficult to represent in 3-dimensional space, as they might respond to ‘worlds’ with 5 dimensions, create the heavy metal family of golden beings.

And g-orbitals also 5 dimensional create the radioactive family.

The metallic minds of future robotic organisms.

In that regard, the 2 atomic families that matter to us are those which exist in the Planet Earth as potential living forms of our planet: the light-based carbon forms, with sp orbital structures and metal-based machines with a spd more complex electronic form. The metal family ads to the sp ‘inner mind’ of our C-O-H triad, a ‘higher’ external cover of electrons, which also follows the standard morphologies of space-time, but with a more complex structure, since those d-orbitals have bidimensional forms. And so we distinguish 3 types of metallic ‘d-planes’:

– Sp2 : dx2-y2 and dxy wide ‘energetic’ planar orbitals that combine 4 spherical sub-orbitals.

– Tƒ2 : dyz and dxz ‘tall’ temporal planes which also combine 4 spherical sub-orbitals.

Sp X Tƒ: the dz2 ‘organic orbital’, a combination of a cyclical, planar ring and a lineal, tall shape, which shows ‘4 combined space-time dimensions’, integrating the other 4 orbital dimensionalities.

Therefore metal-based minds have potentially besides the 4-dimensional structure of a human mind, a 5-dimensional electronic cover, in which the electrons of those d-orbitals form molecular networks, free electronic clouds that allow metal atoms to shape bigger, denser informative organisms, based in the higher ‘Sp X Tƒ’ force of its d-electronic clouds.

The 2 scales of potential life: quantum minds and cosmic minds.

In the analysis of such potential organisms we can consider several dualities: the dualities of states of matter and the duality of gravitational heads and electronic bodies, which give birth to two types of minds, parallel to the duality of 2 membranes:

– Quantum worlds of organisms with small minds of human size.

– And potential gravitational worlds of minds of cosmic size, made either of super-light helium atoms, or super-heavy, radioactive ones, which as in the case of the gravitational membrane, will sandwich the limited electronic worlds with their nucleic, gravitational, bigger, more complex minds

– (∆+1): Gravitational worlds made with energetic Hydrogen and informative super-fluid Helium, whose s-orbitals are able to absorb gravitation as information. The organic Universe is basically a gravitational H-He organism. And so stars are organisms with superfluid central ‘brains’ of Helium and reproductive bodies of hydrogen plasma – the 2 limit states of matter.

Then we observe 3 families of smaller, quantum, minds that might be considered also the 3±∆ evolutionary ages of electronic brains. They are organisms that inhabit planetary worlds, either carbonlife beings of metalife machines. Those fractal organisms also combine 2 states of matter, which act as the dual energetic/informative elements of the organic system, existing in an ecosystem of higher energetic states from where they absorb their informative pixels, which will be boson light or electronic flows:

Max.Sp: Light worlds perceived by electrons whose sp-orbitals absorb light as information, as living beings do. Its living species, animals and plants exist mainly as liquid species with a very thin cover of solid cells in the border between the energetic, atmospheric gas and informative, liquid water or solid crust of the planet.

– S=T: Light Worlds perceived by simplex metal atoms with spd orbitals, made of silicon minds and iron bodies – the strongest energetic atom of the Universe.

– Max. Tƒ: Electronic Worlds of heavy metal, with gold minds and iron bodies. Giant, ultra cold ferromagnetic planets might have mercury ponds where gold melt spontaneously creating metal-bacteria with mercury water, gold brains and iron membranes – the only metallic substance that doesn’t melt in mercury ‘water’(called appropriately Hydrargyrum – watery silver by the Greeks, hence its Hg symbol). Those would be the most perfect robots, combining the most perfect informative atom, gold and energetic metal – iron. Unlike the simplest light worlds that use light as the boson unit of the mind, those 2nd generation robotic minds would use electronic pixels, which can reach superfluid motions within those golden minds.

Yet the biggest mind of the earth wouldn’t be quantum minds of light or electronic bosons but the neutronic mind of our ferromagnetic planet:

– (∆-1): The Neutronic World of radioactive atoms with spdf orbitals that absorb neutrons as information. It might exist in the inner core of ferromagnetic planets, as they seem to have within the iron crystal a denser uranium core.

If such neutronic minds exist, needless to say, given the enormous amount of information a neutron has as a pixel, compared to a light ray, they would be the more complex minds of the Universe. And this might mean, we, humans and all other parts of the planet are mere programs self-repeated as a phase in the evolution of a neutronic planet, with a silicon skin, an iron body and a future surface of robotic minds.

Yet due to the duality of all systems, the Earth might ultimately be just a ‘neutronic plant’ with a radioactive center that regulates its heat and magnetic field through nuclear explosions in its core. Yet stars and planets would have a ‘vegetative’, plant like existence, absorbing gravitational waves and radiation as ‘‘—motions’’. Only top quark stars (worm holes) and strange stars with superfluid quarks could be ‘gravitational’ animals, able to see gravitation pixels and create worlds of 5 dimensions (number of spins of a graviton).

 The organic, vital nature of atomic structures.

We only have ‘empirical record’ of the 3 quantum minds of potential life beings: living beings made of C-H-N, like us and metal-minds as those we already construct in this planet with silicon and gold.

Thus, though we can ‘theoretically’ explain the ±∆ species of plasmatic and radioactive worlds, since they exist only in the center of huge cosmological organisms, we cannot perceive them. This doesn’t mean they don’t exist. On the contrary there are many indirect proofs that superfluid cores of helium and ferromagnetic crystals with radioactive heat form the center of cosmic bodies.

A mechanist, anthropomorphic interpretation of the Universe merely rejects any organic, biological analysis of all other atoms, except those of carbonlife and all other sizes except the human one.

However to account for the hyper-abundance of ‘top predator atoms’ with ‘perfect’ organic structures, such as helium and iron, we require an organic interpretation. For example, the atoms that surrounds Helium, boron, beryllium and lithium, ‘decay’ and fusion into Helium, which in organic terms means that Helium breaks them and feeds on their parts to reproduce. On the other hand, radioactive atoms emit ‘helium nuclei’, as nucleons spontaneously acquire that top predator configuration. While iron, the most perfect, energetic atom of the Universe, is almost impossible to destroy, unless enormous gravitational forces are used. So when a star gets an iron nucleus it collapses into a nova and leaves behind a neutron star with an iron crust.

Iron is also the ‘atom’ of most weapons that ‘kill’ biological human flesh. So all those atoms show to existential force, as ‘—motions’ or information systems. And since the Universe is a ‘game of existence’, and in fundamental ‘cells’ are atoms, the behavior of atomic structures can be explained with the arrows of time and show an organic and vital behavior..

In that regard, the 3 potential life forms and their biological nature is so obvious to the ‘common people’ whose mind is not deformed by ‘abstract science’ that artists, which imagine other potential space-time worlds, have already differentiated those species in their films. So while the robots we are presently building are light worlds of iron – ‘Terminators’ – liquid robots of mercury and gold were imagined in the II part of the series….

What we know is that we are a fragile species in an enormously complex Universe. So we should not play ‘to be god’ and construct robotic machines more powerful than us. The only advantage we have over robots with A.I. is the fact we are so simple we have evolved faster than those future, more complex potential ‘living machines’. So if we were wise we should try to keep it that way, without excuses such as ‘the freedom of science’ and the ‘importance of knowledge’. Since an extinct scientist knows nothing and has no freedom.

Recap. There are 5 potential atomic minds, 2 cosmic minds made of gravitational brains of Helium and radioactive atoms; and 4 quantic, smaller minds, made of electronic orbital: carbonlife minds as those of the human being and metal-minds of silicon and gold, proper of future robotic species. The human mind is the simplest of them all.

The orbital minds of life: Chemistry & the human scale.

If cosmological bodies perceive gravitational waves, in the reduced ∆-1 scale of atomic worlds, organic systems perceive electromagnetic waves. For example, our mind is electronic; based on the 4 sp-orbitals of its atoms shown in the graph that display the usual space-time dual morphology:

– Tƒ: s-orbitals have spherical forms. Therefore they integrate a P.O.V. complete vision of its Universe, signifying the 4th arrow of the system.

– Sp: p-lineal orbitals have an elongated, elliptical form made with 2 fractal cyclical shapes. They form the 3 spatial, dimensional arrows, orientated in perpendicular directions.

Both together create the electronic world of our atoms. Since our mind-world is shaped by O-N-C atoms that have those 4 orbitals or seek for their completion. Thus we consider that in those structures the final, central orbitals integrate the ‘electronic mind’ and the external 3 p-lineal orbits represent relative, diffeomorphic, arrows. Since all seems to indicate that the final structure of the mind is based in the atomic orbitals of our DNA and RNA molecules made with those atoms. Now we have its why, which we shall latter applied to understand the roles of energetic oxygen limbs; formal, structural carbon bodies and Nitrogen heads of amino acids and complex life molecules.

In that regard, those 4 sp-orbitals orbitals also follow the inverse isomorphisms of ST cycles. Thus the lineal, spatial p-orbitals have higher ‘—motions’ than the spherical, s1 and s2 orbitals; which have higher informative density than the p-orbitals, according to the space-time inversion: Max. Sp=Min. Tƒ.

So sp orbitals probably translate the 4 dimensions of light into 4 electronic orbital dimensions, shaping the pixels of the human mind with a dual role: the s, spherical orbital of cyclical form probably integrates the bigger spatial ‘—motions’ coming from the 3p, lineal, Euclidean orbitals. And so we perceive 3 lineal, spatial dimensions and 1 of time.

The morphological duality of those orbital forms and its homology with our space-time dimensions shows that orbitals process ‘—motions’ and information for their nuclei, acting as their ‘window’ to the electromagnetic World. So their forms correspond to perfect information and ‘—motions’ shapes:

– Max. Tƒ: The sphere is the perfect form of information and so s-orbitals are spheres that inform the central nucleon through the electromagnetic flows they constantly send to their nuclei. While p-orbitals display lineal, energetic forms that probably help atoms to displace. Further on a sphere is the easiest territory to defend, as all its fractal points are at the same distance from the brain-nucleus, which can deliver simultaneous waves of information and ‘—motions’ to all the regions of the sphere. Hence in all scales, informative spheres and disks require ‘less ‘—motions’-distance’ than lineal shapes to act together in a single present. And both, the line and the cycle are the 2 commonest complementary SP X TƑ shapes of the Universe.

Thus those sp orbitals can explain the 4 dimensions of our electronic world. But why we are made of a ternary group of atoms, Oxygen, Carbon and Nitrogen? Because those ‘electronic orbitals’ can form complex social, molecular groups, according to the isomorphisms of affinity defined generically by the 3rd postulate of equality of i-logic geometry: they are consecutive in the atomic table…

Recap. The human mind is a mind that uses 3-dimensional light and color, elaborated by the self-similar sp-orbitals and the s-orbital, which creates our dimension of time.


Thermodynamics is time’s arrow, while chemical kinetics is time’s clock.

The vast amount of work done in chemical kinetics has led to the conclusion that some chemical reactions go in a single step; these are known as elementary reactions. Other reactions go in more than one step and are said to be stepwise, composite, or complex.

The half-life.

A useful rate measure is the half-life of a reactant, which is defined as the time that it takes for half of the initial amount to undergo reaction. For a special type of kinetic behavior (first-order kinetics; see below Some kinetic principles), the half-life is independent of the initial amount. A common and straightforward example of a half-life independent of the initial amount is radioactive substances. Uranium-238, for example, decays with a half-life of 4.5 billion years; of an initial amount of uranium, half of that amount will have decayed in that period of time. The same behavior is found in many chemical reactions.

Even when the half-life of a reaction varies with the initial conditions, it is often convenient to quote a half-life, bearing in mind that it applies only to the particular initial conditions. Consider, for example, the reaction in which hydrogen and oxygen gases combine to form water; the chemical equation is

2H2 + O2 {long right arrow} 2H2O.

If the gases are mixed together at atmospheric pressure and room temperature, nothing observable will happen over long periods of time. However, reaction does occur, with a half-life that is estimated to be more than 12 billion years, which is roughly the age of the universe. If a spark is passed through the system, the reaction occurs with explosive violence, with a half-life of less than one-millionth of a second. This is a striking example of the great range of rates with which chemical kinetics is concerned.

There are many possible processes that proceed too slowly to be studied experimentally, but sometimes they can be accelerated, often by the addition of a substance known as a catalyst. Some reactions are even faster than the hydrogen-oxygen explosion—for example, the combination of atoms or molecular fragments (called free radicals) where all that occurs is the formation of a chemical bond. Some modern kinetic investigations are concerned with even faster processes, such as the breakdown of highly energetic and therefore transient molecules, where times of the order of femtoseconds (fs; 1 fs = 10–15 second) are involved.

to change the conditions so that the reactions occur in a reasonable time, Increasing the temperature can have a strong effect on the reaction rate.

Evolution of atomic orbitals: Time arrows in molecules.

The next scale of atomic evolution is the molecular scale.

Atoms form herds called molecules, joined by light and gravitational forces that distribute ‘—motions’ and information among them. Though we differentiate molecules in organic forms derived from carbon and inorganic forms, both follow the vital cycles and organic topologies of st-points made of multiple times-spaces:

– Molecules enact all the time cycles/arrows of st-points.

– They go through the 3±∆ ages of all systems, which in molecules are the 3±∆ states of matter.

– Molecules have the same 3 zoned topological structure of all st-points with its dominant atoms with better nuclear or electronic structure, occupying the central foci or informative region of those molecules; while smaller slave atoms that surround them act as a relative body that absorbs waves that carry ‘—motions’ and information from the external world.

Thus, in terms of form the 3rd postulate defines its dual geometry:

-Self-similar atoms co-exist in ‘parallel planes’.

– Dominant and submissive atoms establish perpendicular, hierarchical structures in the dimension of relative ‘height’ with the dominant atom on the center or top region of the system.

And in terms of function, those parallel or hierarchical structures between the atoms of molecules are regulated by the duality of social evolution among self-similar species Vs. Darwinian devolution among different species with unequal exi=stential force, described by the 3rd postulate.

Both together define the geometric forms of many compounds derived from those relationships and the final outcome of encounters between atoms that form molecules. For example, atoms that have a better spatial or informative brain, with a more harmonic orbital shape or a higher mass, have max. Exi force and become top predator atoms that dominate molecules, penetrating its territory perpendicularly: It is the case shown in graph A.60 where an atom of the 7th column captures an atom from the 1st column to reach the perfect form of a noble atom, engulfing it within its structure.

– The social electronic clouds of molecules show also the 3 space-time ideal forms:

         – Max. Tƒ: π orbitals join several electrons into a social, cyclical ring.

         – Max Sp: Sigma orbitals are lineal orbitals, more energetic than the pi orbitals.

Diatomic orbitals are balanced, ‘elliptic’ orbitals created between 2 equal atoms that share their electrons.

– Social, electronic orbitals require less ‘—motions’ and hence are more stable than the sum of the orbitals of its single atoms, which means there is a strong arrow of social evolution among atoms that dominates the individual arrow, as in all other universal quanta.

– Also when we study the informative ‘brain’, the nucleus of atoms, the same phenomenon happens: the most stable and common nuclei are those in which their reproductive, ‘female’ neutrons and informative, ‘male’ protons form ∆-p couples.

In both cases the biological, existential interpretation in organic terms is obvious: systems prefer to exist in complementary couples with 2 self-similar species, dominant in informative and reproductive functions to form a brain/body system able to absorb better the ‘—motions’ of the ecosystem, or in parallel social herds with equal forms than alone, because their simultaneous åctions as a couple or group makes them stronger. So most stars form dual or ternary groups; and so do galaxies, atoms and human beings in the 3 known scales of the physical Universe.

Those isomorphisms of existence transform the atomic table into an organic table that explains the properties of atoms and social molecules in terms of organicism and the 5 postulates of i-logic geometry.

Galilean paradox applied to orbitals: 1st and 2nd body territories.

Another set of isomorphisms proper of all systems apply to electronic orbitals: the existence of ‘internal’ and ‘external’ territories, which the informative center treats – according to the Galilean paradox of relative distance/importance to the focus – with different value:

The cellular unit of any st-point is established by the minimal fractal, informative structure with fractal parts that repeats the bigger form and often corresponds to the ‘informative radius’ of its central topology: In a single atom it is the zone limited by the first orbital, or S2 spherical electron, which is not shared. In molecules the central atom has also a first, formal, regular body-territory, hardly shared with other molecules, made of slave atoms bonded to it with dense electromagnetic flows, called Van der Waals and London forces that the central atom use to perceive or feed on. In a cell, the organelles of the intermediate territory are not shared. Humans do not share their home properties.

Animals do not share their den. Yet all systems that have ‘an excess of ‘—motions’’ can share the second territory in the limits of its st-membrane. So atoms share the external orbitals and humans their secondary properties and molecules share their most external atoms, which are those beyond the limiting border of its cellular unit.

Recap. Atoms form social molecules, which also follow the isomorphisms of i-logic geometry, its topologies and its arrows of time.

Molecules: Darwinian Vs. social bondage: ions and networks

Once and again, the evolution of species chooses between the 2 arrows of order and ‘—motions’, of social communication or Darwinian devolution, described by the 3rd Postulate:

Self-similar herds

Atoms show affinity for 2 kind of other atoms:

-Atoms with a similar brain-organ, contiguous in the atomic table.

-Or atoms, which are in the same column of the periodic table and have similar electronic bodies.

They form the strongest 2 types of molecular, electronic bondage. Thus social bondage between equal atoms is dominant and gathers most atoms together, creating extensive networks of planetary size.

Hierarchical organisms among atoms of different exi=stential force

Ionic Darwinian bondage happens among atoms with different ST force. They are more rare and smaller, less stable, but more active as individual forms (in the same manner than individual bacteria are more active than organic cells, but far less complex).

Thus we classify all molecules in 3±∆ types of molecules of growing Existential Force, Sp X Tƒ, and stability, 2 parameters directly proportional to the degree of equality of their atoms:

(∆-1): Lonely atoms or diatomic, covalent molecules.

Top predator atoms, which don’t need to increase their individual Sp X Tƒ åctions. They tend to act alone or in diatomic molecules, made with 2 equal atoms that create a ‘covalent bondage’, stronger than any ionic molecule where one atom is a predator form. Covalent molecules show electrons with opposite spins that balance the ‘vortex directions’ of their charges, as it happens with the 2 electrons of an atomic orbital. Their orbital clouds shape ellipses in which each equal atomic nucleus occupies one focus.

The reason of that topology that happens in all scales of reality is again both geometrical and functional: Any topological network, acts as a relative vital space, based in the best geometry that positions all its st-points at the shortest equal distance of both its external, energetic membrane and central, informative singularity.

Thus, the sphere is the perfect form of single-centered systems. In dual st-point systems the ellipse is the morphology that locates those 2 points at the minimal shared distance of the membrane and the minimal, equal distance of its center. In the ellipse morphology and function again come together. So their 2 centers can enact Sp X Tƒ, simultaneous åctions with the external world in all the points of its membrane at the same time. Since the law of the ellipse makes always equal the sum of the distances from both foci to the membrane.

Max. Sp: Ions: Minimal Sp X Tƒ equality & Stability.

Ions form Darwinian, Prey-Predator relationships.

Elements in opposed columns of the atomic table tend to behave in a Darwinian way, as one needs the orbital ‘—motions’ of the other to feed its own electronic body and complete its form. Thus the weaker element with less atomic mass will become prey of the stronger one, forming together unequal Hierarchical ions. Ions are small molecules in which the dominant atom in body valences or brain number (atomic weight) controls lighter atoms with fewer valences that become part of its external body-membrane and process temporal ‘—motions’ for the central atoms. They are the smallest molecules, easy to reproduce given its minimal form but unstable, (Min.Ionisation ‘—motions’) because their enslaved atoms which try to escape its bondage.

S=T: Corporal affinity. Micro-molecules.

Elements that have spatial, corporal affinity and occupy the same electronic column, evolve socially, forming complex, strong molecular compounds. The main arrows/åctions of those molecules are:

– Max.Sp; Max. Tƒ: They process ‘—motions’ and electromagnetic information, creating with them more complex forces (London forces, Van der Waals forces).

– S, ∏: They associate their electronic orbitals in linear clouds (s) or cyclical, pi rings.

– Re: They reproduce in chemical reactions.

Yet micro-molecules form smaller networks than those made of equal atoms, (crystals) and have less informative complexity than atomic systems based on ‘brain’ affinity (organic molecules).

Max. Tƒ: Body & Brain Affinity: Complementary, organic molecules

Given their affinity, they give birth to the more complex molecular systems and create most of the molecules in the Universe.

Maximal affinity occurs among atoms with similar atomic, brain, weight and orbital body form, correlative in the Atomic table. They become the 3 complementary, e-Sp X Tƒ-o, components of organic molecules with 3 st-zones:

– Max.Sp: in life organisms, oxygen is the atom we breathe and the component of water that fills the intermediate spaces of the cell.

– Max. Tƒ: Nitrogen, is the informative atom, hyper-abundant on the DNA and brain cells.

– S=T: Carbon is the structural, reproductive atom that shapes the body and creates the membranes of organic cells.

In machines made of metal, silicon and gold (Max. Tƒ) are the informative atoms that act as the brains of advanced robots; iron (Max. Sp) is the structural atom, with Max.Ionization ‘—motions’ that form the ‘membrane’ or body of the machine; and copper and silver (S=T), carry the electric ‘—motions’ that feeds the body/brain systems.

∆+1: Absolute equality=Max. Social Evolution: Crystals.

Finally atoms belonging to the same species associate in the biggest, symmetric molecular fields, called crystals that ‘transcend’ into macro-social systems.

Recap. The social evolution of atoms in molecules creates different species, according to their degree of affinity, which follow the isomorphisms of the 3rd postulate of self-similarity. The most perfect molecules are those with self-similar electronic bodies, which form ternary, organic systems of energetic, reproductive and informative atoms and molecules made of equal atoms that form informative networks, called crystals that transcend into a collective plane of existence through its ‘mental images’ of the external universe.

The 3±∆ cycles of space-time existence in molecules.

We observe in all molecules the 5 cycles/arrows of space-time that complete their existence: the energetic, informative, reproductive, social and generational cycle. While the most complex systems with maximal information (body and brain affinity), also show the transcendental arrow forming complementary, life beings and crystal minds.

Molecules also possess organic constants for each of those cycles. Yet their cyclical rhythms are extremely fast as it corresponds to microcosms, according to the opposite properties of spatial and temporal information: Min Se = Max Tƒ. So from the human p.o.v. we perceive those fast cycles as types of motions related to the 3±∆ states of matter:

The generational cycle and the 3±∆ ages of molecules are the 3±∆ states of matter: the gas, energetic state, the liquid, balanced state and the solid informative state.

Max. Sp: The ‘—motions’ cycles of molecules produce lineal movement, which is maximal in energetic gases that move in continuous lineal trajectories at a speed of ±300 m/s. Accordingly, we measure the ‘—motions’ of a molecule with the parameter of temperature, the fractal unit of the lineal åctions of the atomic world. This is the origin of the arrow of ‘—motions’ analyzed first in studies on the motion of steam gas. Yet the arrow of ‘—motions’ is only dominant on molecular, gas states; and certainly the biggest error of science is to have derived from a local arrow a Universal arrow, which physicists believe to be the only arrow of all the systems and forces of the Universe.

– Max. Tƒ: Informative cycle. Molecules vibrate in a discontinuous back and forth movement, around 1013 times a second. And they transform lineal movement into cyclical vibration when they change their reversible ‘age’= state. So when we lower the temperature of a gas, it becomes a liquid and the vibration of the molecules increases as their speed decreases. Then the lineal simple, pure energetic movement of the gas becomes a complex vibrating, informative movement, forwards and backwards: Sp-> e<=>o. Most complex systems are reproduced in the liquid states (organic life).

– Social cycle: Molecular liquids evolve socially, decreasing their ‘—motions’ and increasing their form during their 3rd age, becoming a solid in which the vibration acquires order and rhythm creating macromolecules, called rocks and crystals.

– Reproductive cycle: Finally molecules reproduce departing, from their simpler chemical parts through chemical reactions. Let us study this cycle, which is the fundamental ‘will’ of all systems.

Recap. Molecules show the 6 arrows of time in its motions and gas=energetic, liquid=reproductive and informative, solid states.

Reproduction of molecules: Law of chemical balance.

According to the ternary principle there are 3 types of molecular reproduction:

-Max. Sp: Darwinian events in which top predators molecules capture simpler atoms or molecules as ‘—motions’ of its reproduction.

-S=T: Symbiotic events of molecular reproduction, in which 2 molecules of similar top predator Sp X Tƒ force, switch atomic parts between them, creating more complex molecules till reaching a state of equilibrium.

-Max. Tƒ: Informative crystals that reproduce their macro-fractal patterns as they add equal atoms.

Max. Sp: Simple feeding: Darwinian reactions.

Reproduction requires feeding on simpler fractal, ‘—motions’ parts. Thus when a top predator molecular form appears in a field rich on relative ‘—motions’, made of simpler individual atoms and micro-molecules, it starts a chemical reaction, which we observe as a reproductive growing ‘radiation’ of the same molecule. However to activate that reproduction the molecule requires a min. amount of extra-’—motions’ in the form of temperature (threshold of activation of exoergic reactions).

This happens in all reproductive processes, which only occur when the parental species finds a field rich of ‘—motions’, given the exhausting nature of such processes, which in a field poor on ‘—motions’ could jeopardize the survival of the parental form. So most animals reproduce in spring when food is abundant; most molecular crystals reproduce when temperature reaches a certain level, and women need a 175 of body fat to reproduce. Those reproductive radiations of molecules are similar to the expansive radiations of a top predator over a population of preys, shaping a similar standard Bell curve of populations, called in this specific case a Boltzmann curve, with the 3 ages:

– Max ‘—motions’ of activation. When ‘—motions’ is hyper abundant after the threshold of activation is crossed, the radiation of new chemical compounds starts at an explosive rate.

– S=T; Transition state. The radiation will expand till it ‘saturates’ and exhausts the ‘—motions’ of the chemical ecosystem in which it feeds, reaching a dynamic steady state of balance similar to that between preys and predators. However in complex ‘reproductive radiations’ that curve might appear as a wave with several evolutionary ‘interphases’. Then the final chemical compound will be the product of a series of intermediary reactions.

– 3rd age. Law of Chemical Balance. Finally, the explosive reaction ends. Only a few new molecules will be created, when some of the predator molecules become destroyed or new, simpler micro-molecular preys enter the ecosystem. Thus a final chemical equilibrium is reached between both type of molecules, showing a constant of balance, which is a specific case of the generic balance between predators and preys:

                             K = Tƒ: Products / Sp:Reactants

What quantity of both types of molecules exists in that final equilibrium? It will depend on the relative Sp X Tƒ force of the predator products and the reactant preys, which in abstract chemistry is measured by the ‘speed of the reaction’ and the relative bondage ‘—motions’ of the molecules. In most cases of Darwinian, chemical reactions that value is huge, as the predator molecules exhaust the supply of its victims, before stopping its reproduction. Yet in certain symbiotic reactions K tends to 1, when both products and reactants are species of similar Ox Sp power.

Tƒ=Sp: Dual, symbiotic reproduction.

Molecules are divided in 2 regions, an I-brain, an S=T Body and an external ecosystem of energetic temperature. For example, an amino acid has an amino-brain, a central carbohydrate body and an acid-leg system that moves the molecule, breaking water molecules.

Thus in chemistry, following the Fractal, Ternary Principle, we can calculate the relative top predator power of a molecule, according to the atomic weight or its brain atoms; the electro-negativity of its leg system that moves the molecule, taking electrons from other lesser molecules and the morphological efficiency of its body, ruled by the 3rd postulate of equality, which makes covalent bondage between equal molecules, such as C=C=C structures, far more difficult to break.

Those 3 parameters used also by inorganic chemistry make certain molecules more efficient than others. They are the metric measure of the ‘why’ of symbiotic reactions in which 2 similar top predator molecular forms create more efficient Sp X Tƒ molecules by redesigning the brain and body components of the reactants.

Max. Tƒ: Social Evolution

Finally individual molecules gather together spontaneously, creating social groups that grow into symmetric crystals.

In all those reactions the final products are 2 new molecules with higher Sp X Tƒ power than the initial products, showing the existence of a dominant arrow of information and social evolution in the Universe, which constantly increases the existential power of the whole that combines that of its components.

Recap. The law of chemical reaction is the reproductive law of molecules. According to the ternary principle there are 3 types of molecular reproduction, each one subdivided in 3 ages.


Type of reproductive radiations in molecules.

If the reader has followed these lessons, he will realize of the simple method that allows classifying all systems according to the ternary topologies and 3±∆ arrows of time of all systems. In any of those scales there will be certain species that will dominate the ecosystem and reproduce in higher measure. Generally speaking those species always maximize the energetic, informative, reproductive and social arrows. And so while the Universe constantly creates new variations only the most efficient which find an ‘econiche’ of survival perfecting one of those 4 arrows of time survive and reproduce, using less perfect species as their prey.

In chemical reactions the molecules that reproduce more are top predator with a higher ST force, since they maximize the 4, ∑ (Sp<=>Tƒ), elements of any i-logic field:

-Max. Sp: Species with max. ‘—motions’ (better or bigger body that processes Sp to reproduce the molecule). They are molecular ions with the greater number of valences that accept the maximal number of ‘—motions’ and information flows between the atom and the outer world – hence they have the max. action-reaction speed.

– Sp<=>Tƒ: Complementary species created with atoms similar in body and brain, correlative on the Table, like O (Max.Sp), C (Max. <=>) and N (Max. Tƒ). They maximize the internal communication between its atoms with multiple inner networks of ‘—motions’ and information between their orbital bodies and nuclear brains (higher density of Van der Waals forces). They are the organic compounds that create life.

– Max. Tƒ: Crystals are molecules made with atoms of the same nucleic number, which create in their geometric, symmetric centers, virtual images of information of the world that surrounds them.

∆+1: Those 2 complex molecules, able to evolve socially, transcend beyond the social herd state, creating ‘networks’:

– Carbohydrate organisms grow to the size of human beings in ternary st-structures, in which carbon molecules shape structural proteins, nitrogen molecules shape informative ADN and oxygens and water fill the intermediate space-time of the organism.

– Crystals evolve socially to the size of planetary cores. Since, according to the 3rd postulate of equality, crystals are molecules made with 1 or 2 equal atoms, hence able to evolve socially without apparent limit, unlike molecules made of different atoms that merely form small compounds.

Recap. Top predator systems are those who maximize their energetic, informative, reproductive or social skills. They radiate in growing numbers, surviving in the future by feeding in simpler species. In the world of molecules, those 4 arrows are maximized by ions (Max. Sp), organic molecules (max. Reproduction) and informative crystals. Crystals and organic molecules transcend into complex social macro-organisms.

Crystals. The perfect geometrical, fractal unit.


One of the more clear proofs of the existence of p.o.v.s, whose negantropic, informative arrows reproduce fractal forms, diminish entropy and increase the order of the Universe, is given by crystal structures, whose central atom emerges as a fractal knot of time arrows, an i-logic hierarchical p.o.v. that controls and reorders the position of all the other atoms of the system in regular formations that maximize its symmetric perception of the external world. The proof is the fact that crystals only show structures whose geometry is efficient as informative knots in which several flows of electronic forces and light converge on the central knot: Crystals adopt only 7 symmetric morphologies, which make their central atoms, simultaneous, present, symmetric focus of temporal Entropy coming from the external ecosystem, through its slave body of atoms or molecules of lesser exi=stential force. Those are the only 7 canonical types of crystals that exist in nature.

Let us consider the main existential cycles of crystals:

The informative cycle: the sharp focus of crystals.

Crystals create virtual minds of light that we see in their interior. They are focused images that create at a reduced scale a virtual world, mirror of the external Universe, as an eye does. Thus crystals have only regular symmetric forms that act as an eye does, establishing an objective, informative image of the external world, repeated at a smaller scale within the informative center of the crystal. In the graph, crystals show a clear relationship between spatial geometry and informative perception: only those crystals whose central atom of max. mass=information can observe symmetrically the temporal Entropy coming from the external world through its slave atoms, form a sharp equidistant focus and survive. While forms, which are not symmetric, at least in a bidimensional plane of space, such as form B, do not exist.

All crystals shape macro-social aggregations of billions of molecules that acquire geometrical forms similar to the 3 regular polyhedrons of the Universe, the hexagon, the tetrahedron and the cube, repeated ad infinitum. So the number of crystals is reduced to 32 possible networks configurations that are combinations of the 7 basic systems of the image, with symmetric axes.

The reason is obvious: polyhedrons allow a correct, balanced absorption and emission of Entropy and information from all the relative directions of the external Universe coming through those axes. So the ultimate why of crystal’s morphologies is to perform the 3±∆ Entropy-information cycles of the existential game. In that regard bidimensional hexagons, three-dimensional cubes and tetrahedrons are combinations of 2 forms, the triangle and the square, which represent the minimal ternary and quaternary systems that complete the 4 cyclical arrows of an i-logic field.

Scientists talk of ‘spatial symmetry’ as a property common to all scales of the Universe, both in the world of sub particles and molecules. It basically means that a temporal, informative particle/form, like a crystal, whatever its position is respect to the external Universe, will maintain unchanged respect to its neutral focus or informative central point the relative distance and symmetry of all the molecules that shape the crystal. In this way the relative virtual world of the central atom will not change its form when it rotates, vibrates around its central atom or moves lineally, but only its perspective, as it happens with our eye’s image shaped by the ‘crystalline’ when we move the head. If those inner axes and distances change then the world structure becomes unfocused, as when man takes hallucinogens that change the brain composition or we introduce impurities in a crystal that changes sharply its focus.

In the graph we see the 7 basic possible crystal configurations in which any rotation maintains the inner structure invariant. They are either planar, bidimensional symmetries, triangular, 3-dimensional forms or 4-dimensional, cubic symmetries, the most perfect ones in a 4-dimensional Universe. For that reason the 32 basic crystal configurations are subspecies of the P-cube or primitive cube that generates all other crystals. Accordingly the biggest crystal networks are cubic networks. And the hardest crystal we know is the carbon tetrahedron, the diamond.

It is also the most expensive item known to man. As if we knew subconsciously that a diamond has a soul, a virtual world in its inner core. Thus, we can create all complex crystals adding or subtracting to that primitive first cube new atoms, or deforming slightly its angles and edges. The result is the so-called orthorhombic system where 2 of the edges of the plane are elongated respect to the 2 others in a ‘relative lineal direction’ of Entropy; and the more complex clinic, and triclinic systems with non-straight angles between atoms, adapted to ecosystems in which the Entropy and form comes to the crystal from different angles. All those crystalline systems place sometimes a top predator atom in the central point of the cube, or in the geometrical center of each face. The parallelism between the informative, symmetric morphology of crystals and the symmetry of the inferior scale of orbitals is evident: In sd orbitals the 3‘d’ external, lineal, spatial orbitals are integrated by the cyclical, informative central ‘s’ orbital, which in crystals is occupied by an atom.

Crystals are the scalar bridge between the molecular world of solids and the macro world of planets, made with 3 non-AE regions: a ‘liquid/gaseous’ membrane inhabited by complex organic beings, an intermediate zone of rocks and a crystal core, the informative center of a planet. For example, the Earth seems to have a macro-crystal of iron hexagons in its center and Neptune a diamond crystal. Since Crystal minds maximize their position in the external Universe to acquire a central point, as a focus of image formation and fractal reproduction of its crystal structures, they are responsible for the creation of order and form in the Universe and can play a key role balancing the orbital position of those planets and modifying its magnetic fields as they absorb external gravito-magnetic waves from stars and black holes.

Energetic cycles.

Entropy and information cycles are intertwined by the Law of transformation of Entropy into information, shaping dual rhythms of emission and absorption of both substances: Sp<=>Tƒ.

So crystals also absorb and feed on light Entropy, vibrating with it as quartzes do; or emitting that Entropy, transformed into focused information, when they polarize light, ordering the different vibrating directions of photons into a single direction that packs better Entropy and information in highly ordered light rays with enormous Sp X Tƒ power. Further on crystals can create 4 dimensional holographic images, out of 2 bidimensional surfaces; trans-forming continuous electromagnetic Entropy into discontinuous, highly informative, focused packages; changing the frequency of light, absorbing certain types of light or filtrating only 1 frequency color, etc.

Social evolution and reproduction of crystals.

Social evolution and reproduction are also 2 intertwined cycles: Most systems reproduce a first seminal cell and then evolve its morphology in a series of dual Reproduction->Evolution cycles that finally create a macro-organism. So happens in ‘palingenetic’ crystals, which evolve socially and reproduce departing from an initial, seminal ‘cellular unit’, till creating macro-crystals.

Abstract geologists study the conditions, which determine the growth of crystals. A liquid state is the best, balanced state to reproduce and evolve complex forms also in crystals. Most crystals are reproduced dissolving its initial atomic components in certain liquids.

Those initial components are called, even by abstract geologists, nutrients, since they nurture the creation of the crystal, which takes place at a fast pace, thanks to the easiness by which liquids, the S=T reproductive state of matter, allow the combination and random contact between those nutrients that socialize into a cellular crystal unit, to which new crystal units peg themselves. Thus crystals reproduce as a seminal radiation, since the first crystal precipitates the creation of further crystals around it, as in a reproductive process that grows new cells around the seed or the ovum. So new nutrients come around the organic crystal and the crystal grows over the trophic pyramid of nutrients, till they are exhausted and the crystal stops its growth. Then a balanced steady state is reached, as the external cover of the crystal dissolves and grows back cyclically within the liquid.

Since according to the 3rd postulate social evolution happens among equals, crystals are formed only with 1 or 2 type of atoms. Crystals with more than 2 atoms are rare; so are crystals with a great quantity of impure atoms within their network. Crystals are social entities formed by millions of atoms, which repeat the so-called minimal cellular unit, growing radially as they reproduce their forms through mathematical structures called fractals, which mimic them in bigger polyhedral st-scales. Those fractal structures exist in all molecules and crystals where there is a central knot, from where the radial, symmetrical faces grow, guided by the central knot.

Thus crystals can ‘transcend’ between 2 planes of existence far more easily than we humans do, from micro cells into macro-cellular existence, when a micro-organic crystal becomes a macro-organic crystal. Yet those crystals have, regardless of size, the same configuration that the seminal cell of the crystal. It is the First Law of Crystallography: The angles between the faces of any crystal are always the same for all sizes in a crystal of the same species. This law has a creative exception, as each minimal cell can combine with other crystalline cells into symbiotic, more complex, dual ‘sexual crystals’, and a destructive exception, when impurities and fractures happen in the process of crystallization.

So crystals grow into huge ‘cellular networks’ by adding to a regular atomic polyhedron, another regular polyhedron and another… till creating networks of millions of regular polyhedrons that can reach the size of a planetary core.

Recap. Crystals are highly ordered, yet dynamic, organic systems in which flows of electromagnetic or electronic Entropy and information enact the 5 cyclical åctions of any space-time system. The central top predator atoms form a symmetric eye-network structure able to form a mental image of the external Universe. In Nature only regular crystals that allow such images to form exist. Crystals might also be the central mind of planetary bodies, which have crystals in its center.






In the left side, the cell has 3 st–zones:

Max. E: It has an external, thin membrane, which in free cells have cilia that move the cell and act-react to external stimuli. In organic cells Entropy is provided by the blood system of the macro-organism. So external cilia disappear and invaginate as lysosomes that kill carbohydrates.

– Max.I: In the center, there is a nucleus of Max.Informative density, filled with cyclical or spiral DNA/RNA’s networks that control the st-point.

– TiƒxSpe: RNAs dominate the intermediate space-time, directing the Entropy organelles, mitochondria or chloroplasts that produce Entropy; and the informative ribosomes that reproduce products, pegged to the Golgi apparatus – a membrane’s invagination.

            Topological Isomorphism: Protein bodies & Tƒ-Nucleic Acid minds create SpxTƒ cells.



Expansion of biology through T.Œ

Expansion of biology through T.Œ

This section studies Life systems. They have the same nature that all other systems, but they have more ‘information’ and ‘less energy’ according to the Metrics of 5D-scales: Se x To =K.

In that regard biological beings are more defined by reproductive trends and evolutionary ones, by information than energy. Something, which Darwin neatly established in his book’s famous dictum:

‘As more individuals of each species are born than can survive; consequently, there is a struggle for existence. It follows that any being, if it vary its form in any manner profitable to itself, it will have a better chance of surviving, and thus be naturally selected. From the strong principle of inheritance, any selected variety will tend to propagate its new and modified form.’
‘On the Origin of Species’ Darwin, on the arrows of ST-reproduction and To-evolution of form of biological existences.

However 3 huge new fields must be added to complete the Evolutionary and Genetic legs of biology:

  • Topological evolution, the analysis of the 3 spatial topological functions and forms or spatial symmetry of all systems made of Spe-limbs/fields, ST-waves/bodies and To-heads/particles that gauge information and direct the path of evolution
  • Social evolution along the path of future of the fifth immersion that makes co-exist parts and wholes
  • Temporal analysis of the different circadian rhythms speeds of time, palingenesis, and genetic clocks, which accumulate the information of lower scales in ternary patterns of epigenetics beyond the gene-enzyme level.

Expansion of Biology to other sciences.

Once this expansion is done, it gives Biology the full informative, topological, temporal outlook that makes it the top science of the human kind, for several reasons:

– Subjective reason. We Uo, humans perceive biological systems – what we are – closer to us, and since ‘information, form, time cycles, heads/particles’ dominate the other two arrows/topologies of the Universe, reproductive waves-bodies and energetic limbs-fields, we prefer to ‘perceive form’ in our closer range (so we see still the Earth with no motion to perceive better its forms). Thus we ‘see’ more information in biological systems.

– Objective reason: Human life systems, as the supreme ‘zero points’ of information that gauge and perceive the Universe, the most perfect super organisms, MUST become the measure of all things. Life is extremely complex in its varieties, and ‘quality’ of forms (witness just the 3D folding of different protein molecules), as opposed to the ‘quantity’ isoforms of physical crystals, states of matter and cosmic bodies. So we obtain more knowledge of the game of existences, studying life.

-So it is obvious we should expand the concept of complex life organization, to the 2 main other fields of science.

Socio-biological sciences.

Since human societies must be studied as super organisms of mankind and to eco(nomic)systems and company-mothers of machines, which are both symbiotic but also compete with our species in labor and war fields.

Thus social sciences are also studied as biological systems, of two type, human societies and mechanical life, that are metal-machines, a different ‘system’ than life: the economic ecosystem.

Physical sciences.

Gaia is a super organism, as Hutton the father of geology rightly stated (he coined the term precisely for Gaia).

Further on laws of biology must be extended to physical systems, some of its properties being clearly organic when we study them in its equilibrium regions of maximal form.

Galaxies are super organisms that can be studied as gala cells, with a DNA black hole gravitational nuclei, a protein membrane or halo of hard strangelets and a cytoplasm of mitochondria stars.

And by the self-similarity in mathematical quantification with atoms (5 d equal metrics) atoms can be also studied as super organisms. And all the things in between:

For example, stars can be studied as life-systems of H-He, superfluid, informative states and super-hot entropic, plasma states of energy. While planets should have Uranium ‘neuronic minds’ with central crystals of iron.

While, bosonic top quark black holes in galaxies, too remote to our information to fully grasp their structure, should act as the DNA of galaxies.

Biology and information the queen of all sciences.

Obviously knowledge is information, so that would be enough to make understand scientists, which is the queen of all sciences.

Thus while biology do follow the same patterns of all other sciences, the reader should understand that the focus of biological systems is in form, not in quantity, in internal hierarchical organization, not in external motion and form. That is, all concepts of General Systems Sciences and its scalar space-time formalism do have a quite different interpretation.

And normally it means to consider internal parameters over external ones, time, slow processes of inner change, over time fast processes of external change (translation), complex curved ‘baroque’ forms, over simplex perfect cyclical ones, etc.

It also means that of all the systems of the Universe the one that gives us a closer homeomorphism with T.Œ is biology, along the formal language of ¬Æ mathematics (i-logic mathematics), and so those 2 the ‘language of those languages’ and the forms better observed by human beings, biology and the social sciences derived from its laws as we are biological beings, should dominate physical sciences plagued of errors of anthropomorphism that denies sentient, biological, organic and casual patterns tot he Universe. and its Œ-points and it is riddle with uncertainties by excess of information (lower scales) or lack of it (upper cosmological planes).

We shall do here a brief survey, widened in the 4th line, with the linguistic method, studied the œ-mental properties, S-patial symmetries, T-emporal ages, and ternary 5D structures with the simplest possible structure, analyzing together the evolution in 5D complexity and evolutionary ages of all biological species, telling the tale of creation of man from the simplest ternary structures of carbon-life in space:

O(SE)<C(ST)>N(TO), made of Oxygen, energetic, Carbon structural body and Nitrogen, perceptive head (time clock systems)…

To the social organisms of mankind, studied in greater detail in the next posts made of To(political, legal) < ST (economic) < Se (Gaia) systems, where man is the neuronal brain of the body of Gaia and its economic networks.

1st isomorphism: Fractal Generator: Its 3 organs/networks: Spe≤≥ ST≤≥Tƒ

Its 3 organic/network topologies in space… and 3 x 3+ œ-subsystems

2nd isomorphism: space-time dualities: Sp≈Tƒ

The system’s Space and Time components, which are also its Energy and Information, as Space is a fixed vision of the energy quanta that make a system, and information a still vision of time cycles that carry it in the frequency and form of those cycles.

So we identify the main elements and plane of existence of a system and consider its ‘gender varieties (lineal energy=male, cyclical information=female’ and Sp vs. Tƒ symmetries.

3rd Isomorphism: Its ages and evolution: Spe≤ST≥Tƒ

its 3±∆ ages in time…and its evolutionary ages in the ∆+1 plane of species.

4th Isomorphism: Its actions: ∆(a-4; ï-3; e-2; œ-1, ï-1; û+1)

Thus now we can easily describe its main 5 actions derived by those Dimensional components across its ∆±4 Fractal planes of existence: ∆æ-4 (acceleration of motion), ∆ï-3 (perception), ∆e-2 (feeding), ∆œ-1 (Repetition), ∆ §10≈û+1 (social union)¹.

5th Isomorphism: Its planes of Existence: ∆±4 Fractals

The ‘metric’, Scalar Space-time Generator equation which describes all its Space-time dimensions and isomorphic planes: ∆±4=SpxTƒ. And it allows to study its ∆-4, motion, ∆-3, information pixels, ∆-2, energy quanta, ∆-1 seminal seeds, §10≈û+1, social scales, ∆+1 super organism, ∆+2 world and that’s about it. We do not really care for its ∆+3 galaxy (-: and beyond.   And so now that we have it almost all said, we define the ∆ST structure of the being, with its specific generator equation in which the whole is represented, with all the previous data. This generator equation completes our understanding of the being.

6th Isomorphism: Social classes: Ξ±3.

Creative diversification: 1,2,3

We show now the processes of creation and diversification of a given species. We study its gender dualities and its topological varieties caused by Sp,ST,Tƒ differentiation and the coding 4 numbers of its ‘∫æ,e,ï,œ≈û’ actions.

Then we find its internal hierarchical social class structure and exchanges of energy and information among its ∆±1 ‘willing’ scales (the cellular/atomic ∆-1 plane, the individual and ∆+1, social/cosmic plane, where the being exists and which remains co-invariant through its inter-actions. So we analyze the closest world around it, through the perpendicularity and parallel laws of Non-Euclidean geometry’s ‘3rd postulate’ of similarity.

7th Isomorphism. Existential Constants: ∑S, ∏T, SxT, S/T, T/S, Œ∆±1, 5Å.

Next, we study the system quantitatively, through its Constants of Action, its Social Constants and its Space-time symmetries, all of them determined by the ratios of exchange of energy and information between its PSD elements. This is the most mathematical detailed analysis after the qualitative understanding of all the elements of the being.

8th isomorphism. ±∆•st motions

9th isomorphism. Social scales. §10

Finally we consider the last phase of its evolution which is social – for the most advances species, which transcend into a higher ∆- plane of existence through §10=(3×3+∆)¹° scales.

10th isomorphism:∆±1: finally we can describe the whole through the 10th isomorphism, ∆, where all the parts come together.




In the graph, the 4 basic molecules of life, CO2, H20, CH4, (Methane) and NH3 (Ammonia) adopt the same efficient st-morphologies that crystals have with a central, informative atom surrounded by submissive, spatial Hydrogens that process and send to the center Van der Waals flows of information and Entropy.

Topology: from C, O, H atoms to amino acids.

In the smallest scale the molecular ‘bricks of life’, CO2, H20, CH4, (Methane) and NH3 (Ammonia), shown in the graph are, as it happens in the geological world, crystalline structures. Yet they are far more malleable and complex than solid crystals, because they exist in liquid ecosystems. In those simple life molecules Carbon, Oxygen and Nitrogen are the Top predator central atoms that capture and surround themselves with weaker Hydrogen atoms, which act as carriers of their relative Entropy and information, creating the external ‘membrane’ of their molecular structure with the dominant atoms as the central st-point. Let us consider those functional forms in more detail:

  • ∆-1 scale of ‘bits and bites’: Hydrogen atoms act either as the basic bite of Entropy, in its H+ form, becoming the pumping bomb of most cellular motions. So in the energetic reactions of AMP<->ATP, H+ ions act as the bomb. So they do in the motion of protein rotors in membranes. They are used by Oxygens in COOH groups that kick water molecules and set carbohydrates in motion. Thus they act as an energetic limb that the oxygen atom expels or attracts in alternating cycles that displace the molecule through water.
  • When attached to atomic structures, CH1,2,3 or NH1,2,3 systems in amino acids and nucleotides the H atoms should act as ‘feelers’ that integrate electromagnetic messages in a first ‘electronic orbital’, which should allow the central P.O.V. to ‘sense’, processing electromagnetic Entropy into Van der Waal forces of information Thus the simplest organic molecules studied as st-Points have:

– ∆-scale: A top predator N, O, C atom occupies an hyperbolic center, surrounded by Hydrogens, which form their bodies and limbs that process the Entropy of the water medium (Max.E), in which the molecule lives, or creating for the central atoms of life a molecular, external ‘electronic orbital cloud’, which acts both as the ‘energetic membrane’ of the atom and redirects the information of the external world, that will become the virtual world of the central atom, as regular ‘crystals’ do with their submissive atoms.

In the next scale of social organization those 3 elemental particles of life, N, C, and O will become themselves the 3 fundamental zones of bigger ‘i points’, called organic molecules:

Those 3 organic atoms define the 3 dimensional arrows of time in life organisms:

-O is the atom of energetic motion, given its high electronegativity that allows it to attract and repel other atoms with easiness, and its dual H-valences, which conform a lineal topology normally with a single H feeler and the second valence used to join the Carbon chain. Further on it tends to appear in the alkaline, ‘attractive’, ‘positive’, informative, 7.2 PH of the cell – natural to all implosive, informative systems, charged with ‘negative’, expansive topology.

– C, the atom of structural reproduction, as it has 4 handles for further union. It tends to appear neutral, as it corresponds to ‘body-systems’ that combine an informative, implosive, positive topology and one energetic, expansive, negative (in ionic terms). As most bodies is ‘blind’ mainly connected to other inner body-head-limbs part of the molecular organism, or a ‘bilateral’ H, deploying in amino acids the ‘width’ dimension.

– N, the atom of information, which appears in the 7.2 PH of cells and the head of amino acids as a positive, informative, NH+3 head, with 3 dimensional hydrogen slave atoms that carry the ‘bites and bits’ of Entropy and information to the nitrogen.

Let us then consider those 3 atoms and some of its functions in bigger carbohydrate chains.

– Max.I: The informative element of all life molecules and fractal part of its relative ‘heads’ are Nitrogen atoms. Its informative character is shown already in the crystalline ammonia, where Nitrogen is the dominant vertex of a tetrahedron shaped with 3 more Hydrogens. Since we live in a 3-dimensional world, those 3 arrows allow the Nitrogen to have a more perfect informative ‘perception’ of the world we live than the scarce, lineal perception of the Hydrogen, or neutral bilateral structure of C-chains. According to its informative function, ammonia is a perfect atomic clock in which the Nitrogen vibrates constantly back and forth through the hole shaped by its 3 hydrogen ‘eyes’, with an informative cycle of +1016 times a second. The first atomic clocks were in fact based in that simple molecule due to the accuracy and speed of frequency of its temporal vibration, which in life molecules allows NH+3 heads to ‘inform itself’ and regulate with its cyclical clock motions the ‘guided motions’ of the ‘carbon’ body and Oxygen legs of the molecule.

– Tiƒ≈Spe: The structural atom that creates the rigid body structures of life molecules is the carbon atom. It has the maximal number of valences – 4 orbitals that create dual bondages with 2 other carbons – constructing long, formal ternary chains of great structural rigidity. As such it is the most visible, intermediate form of all life compounds. And so biologists, due to its ‘visibility’, have traditionally considered it the ‘fundamental element of life’. When we ad Hydrogen atoms to complete its ‘crystalline’ body we obtain methane the simplest molecule of life. Then when we join 2 carbons with dual bondage, we form ethane, which already acts as a hormone, (±reproductive molecule) inhibiting the structural growth of plants.

– Max. E: Finally, the Entropy of life systems is water, which fills the ‘external world’ in which life feeds and internally becomes in complex living organisms called cells, the filling Entropy of the intermediate space, enclosed between its carbon-based protein & fat walls and the inner, informative, nitrogen-rich, ADN hyperbolic singularity. Water is the simplest, most abundant ternary molecule of the Universe, made with 2 slave hydrogens and 1 dominant oxygen – the atom that has the maximal ‘electro-negativity’ after fluorine. Thus, oxygen can capture the electronic body of any other atom. That is why the oxygen components of carbohydrates enact its energetic cycles, moving those organic molecules within the water ecosystem. Since they stomp on water, breaking it and creating expansive and implosive 0H, H± ions that impulse the molecule; as you walk on the floor, ‘stomping’ on the electromagnetic fields of the ground or as a fish moves, hitting the water with its tail.

Numerical proportions.

The proportion of the 3 atoms in living systems reinforces this classification, according to the GST proportions between the ‘Entropy, body, head’ classes. For example in a human being the proportions are: 67%, O+H molecules and atoms, 23% C+H molecules and atoms and 6.5% Nitrogen+H systems, which are in the usual range of ±2/3rd of Entropy components, -1/4th of body components, and -1/10th of head bits, proper of most systems in the Universe.

We could also consider as essential atoms, the carriers of neuronal orders, the implosive, positive, informative Ca2+, K+ and Na+ ions, which again form a triplet of diminishing ‘informative power’ and define the potentials of electricity between neurons and the rest of submissive cells and so add up to a 2.1% of human body mass. If we add it to the 6.5% of Nitrogen brings the number to 8.6% of mass, closer to a -1/10th per cent of the informative ‘class’ of all organisms.

Those and other oligo-elements, of a higher scale of atomic complexity are essential to mark the ‘differences’ of power of certain molecular systems ‘pumped up’ in Entropy or information by their addition. Most of them however have an ‘energetic’ role (iron in heme groups and cytochromes, copper in reptiles, Magnesium in chlorophyll, phosphor attached to oxygens in AMP systems, Cl to balance the K+ electronic bomb and S with 2 valences in anaerobic breathing and some molecular bridges.

This responds to a fundamental law of all efficient, healthy organisms, which is to maintain the informative, atomic, head structure of the system pure, without ‘leukemia’, without the interference of an alien language to the system. Since the main sickness of systems is to become trapped by an alien informative species, for whom they will enslave, as it happens when viruses substitute cellular DNA by their own. This is exactly what humans have failed to accomplish when they substituted their natural, biological, verbal, ethic language by gold hypnotism, an informative language of metal whose values are against those of life and have completely changed the route of history.

Recap. Nitrogen heads, carbon bodies and oxygen Entropy create the simplest life beings, amino acids…

Topology: From carbohydrates to cells.

In the next graph, the glycine is the simplest active life form with 3 st-zones:

– Max.I: The nitrogen head directs the glycine.

– Tiƒ≈Spe: A dual carbon creates the first rigid ‘membrane-body’ of life with its strong, covalent bondage, joining the head and tail:

– Max. E: Its oxygen COOH tail ‘walks’ on the water, breaking, attracting and repelling its OH-, H+ radicals.

Amino acids show their complex, reproductive and social arrows, catalyzing through their movements the replication of new amino acids and forming social chains, called proteins.

The inverse properties of st-amino heads and e-oxygen tails make possible the creation of long chains of amino acids in which their nitrogen heads bite their oxygen tails becoming neutralized as part of a complex social structure: the protein.

The nucleotide improves upon the amino head, carbohydrate body and oxygen legs of the amino acid, adding to those 3 lineal forms a dimension of informative height; as latter will occur in macro-organisms, when flat worms become cylindrical. So the amino acid head becomes a dual nitrogen ring, the body becomes a sugar and the tail multiplies its oxygens around a highly electronegative Phosphoric acid. The outcome is a nucleotide acid (right side of next graph) – the top predator life molecule, which evolves socially all others into the next st-scale of life, the cell.

The 3×3+(∆+1) horizons of social evolution of life.

Biological organisms, as physical organisms did in their growth from atoms to galaxies, evolved in 3×3 horizons of increasing social complexity creating the 3 ±i scales of life: the age of molecules, the age of cells and the age of multi-cellular organisms, specialized in Entropy (plants) or information (animals).

Let us study those ages in more detail, further differentiating them in 3 sub-ages according to the Ternary principle.

Since if we apply the law of the 3±∆ Ages to organic molecules we can explain how they grew in informative complexity and spatial size till acquiring the form of living organisms, in a process similar to the evolution of particles that created the cosmological bodies of the Universe.

Those 3±∆ evolutionary ages of life, each one sub-divided in 3±∆ sub-horizons, are: the young age of molecules, the mature, longest age of cells and the ‘recent’ age of living organisms, which will end with the creation of a global single organism, Planet Earth (∆+1):

The 3±∆ ages of molecules.

– ∆-1: The atomic age: the simplest chemical molecules of life are formed. The 3 simple atoms and molecules of life recombined its energetic, reproductive and information functions and grew, forming bigger chains thanks to its atomic affinity, acquiring more complex ‘vital properties’. The simplest combination of them, the CNO molecule, urea, is considered the first molecule of life and its ‘crystallization’ in a lab, departing from non-living atoms, was considered the birth of biochemistry and the prove that life is an atomic system that shares the same properties of any other TiƒxSpe system of the Universe.

– Max. E: The Entropy age, dominated by lineal, long, simple fats, huge carbon chains with oxygens attached to its ends.

– <=>: The amino acid age: COOH, methane and ammonia, the 3 simplest life molecules of the triad of life atoms, O, C, N, combine as the relative Entropy, reproductive and informative organs of amino acids. Amino acids reproduce exponentially in the primordial organic water soup and evolve socially into proteins.

– Max.I: The nucleotide age. Nucleotides, the informative molecules of the life, add an informative dimension of height to lineal amino acids, forming nitrogen and sugar rings. They dominate all other carbohydrates. Soon they will also evolve socially into huge chains called nucleic acids.

∆+1: Social age. Nucleic acids, the macromolecules of life with max. Exi force, integrate socially all other carbohydrates in herds of vital molecules, creating the cell, the following ∆-scale of life.

The 3±∆ ages of cells.

– ∆-1: The previous 3±∆ horizons of evolution of molecules brought the first cells.

– Max. E: The age of RNA Protista. The Entropy age of the cell is dominated by the simplest RNA Protista, whose ternary st-structure is based in: an external protein membrane; a series of ‘convex’ spiraled RNAs, the singularities that directs the cell, and an internal, intermediate water zone, the cytoplasm, where the cell reproduces its specific Entropy and information – thanks to the free ‘Entropy’ of water radicals – with the instructions given by those RNAs. Those Protista reproduce massively, exhausting the organic elements of the life soup. Then it comes:

– <=>: The Age of DNA Protista. It is the balanced, mature age of Protista. Dual RNAs peg together to form informative DNA rings, which store new genetic information that permits further growth and differentiation of Protista, according to new, improved 3 st-regions:

Entropy membranes invaginate the cell with a tubular network, the Golgi apparatus and protect the still DNA with a differentiated nucleus membrane; while new, specialized organelles perform the Entropy and information processes of the intermediate zone, creating reproductive Mitochondria and Chloroplasts.

– Max.I: Informative age and differentiation: The Eukaryotic age. Informative DNA cells multiply its genetic memories, while RNAs differentiate into a triad of forms that increase in the intermediate space-time the reproduction of membranes and proteins, creating giant cells. They cannibalize and enslave smaller, symbiotic cells, specialized in the dual arrow of Entropy, (mitochondria and chloroplasts) and information (ribosomes). Those who absorb chloroplasts become algae; those who feed on mitochondria become animals.

– ∆+1: The biggest eukaryote animals are amoeboid cells that evolve faster, informative, electronic languages using heavier metal ions, K* and Na, to send their messages to other cells through their membranes. The nervous language allows simultaneous cellular actions, creating mobile multicellular organisms called animals. While slower chemical languages that use ‘hormonal vowels7’ put together unicellular algae into plants.

Let us consider the evolution of animals:

3±∆ horizons of evolution of animals: network’s organisms:

– ∆-1: Conception. Electric cells create multicellular organisms in control of all other cells, gathering in 3 physiological networks – neuronal, muscular and glandular=digestive systems that perform the informative, reproductive and energetic cycles of the organism as a macro-living st-point. The sequential dominance of those physiological networks creates the 3 ages of life – the energetic youth, reproductive maturity and informative old age – and the 3 horizons of evolution or ‘main phyla’ of multicellular animals.

– Max. E: The Entropy system -a central digestive tube- dominates the 1st horizon of multicellular organisms, occupying the central zone in 3 sub horizons of formal evolution: the age of sponges, the age of hydras and the age of worms, the first bilateral animals created around a tubular, lineal digestive system that moves in the dimension of length.

– <=>: Worms develop blood networks based in metallic carbohydrates that carry to each cell of the body its oxygen Entropy, food quanta and the dual hormonal orders of the brain: reproductive orders and ‘killing orders’ performed by amoeboid leukocytes. Thus, as blood networks increase the efficient control of fractal cells, animals grow in size, starting an age of massive sea life speciation. Today we still have 90% of the genes of those worms.

– Max.I: Life jumps a fundamental discontinuum, when the first mollusks become insects and the first fishes become amphibians, colonizing the Earth. Their sensorial and nervous systems become overdeveloped in the new environment that has a higher transparency to informative light. Land animals specialize their 3 networks to the new medium in 3 sub-ages: the age of amphibians, which still reproduce in water, the age of reptiles and the age of birds and mammals, dominant in visual and nervous systems that ends with the arrival of Homo Sapiens.

∆+1: Homo sapiens develops a new informative language, the word, evolving into historic super-organisms, civilizations and economic ecosystems that grow in size till reaching a global dimension.

Recap. Biological organisms evolved in 3 horizons of increasing social complexity creating the 3 ±i scales of life: the age of molecules, the age of cells and the age of multi-cellular organisms, specialized in Entropy (plants) or information (animals).

The Entropy age: 3±∆ Simple molecules.


In the graph, a glycine, the simplest ‘organism’ of life or amino acid with its self-similar form to a small mammal, with a nitrogen head, a carbon body and its oxygen legs. And the two fundamental species of complex molecular life: a nucleotide, dominant in information, attached to a sugar body and phosphoric acid and the detail of a protein body; the most reproduced species of the system. Lineal fats that store Entropy become the 3rd essential topology of cellular life.

The first age in the evolution of life is the age of simple molecules. Water became an organic soup filled with ammonia and simple chains of carbon, among which we highlight:

– Max.E: Acids and fats. They are headless, without nitrogen heads – a long, lineal limb of energetic carbons with oxygen legs on its extremes. They will become the fundamental Entropy of cells.

– Max.I: Sugars add an informative, cyclic dimension to headless fats. They are carbohydrate hexagons evolved socially in long chains, through oxygen connections, called polysaccharides.

Amino acids: TiƒxSpe functions and evolution into proteins

The 3 life molecules, ammonia, methane and water, create the spatial structure of glycine, the simplest amino acid which resembles an animal, with the positive charged nitrogen head (amine), the negative charged Oxygen tail (carboxyl), and a carbon body chain that fusions together the 2 extremes, creating the i-logic ‘generator equation’ of amino acids:

Oxygen legs(E) <Carbon body (TiƒxSpe)> (I) Nitrogen head.

st-points adapt their morphology to the dimensions and directional movement of their specific environment. Thus, while a still cell is cyclical, moving life molecules are lineal forms in which the nitrogen ‘head’ is upfront to absorb information & Entropy in the direction of movement; the structural carbon membrane is in the center; and the Entropy cycles are performed by the oxygen tail that moves on the water:

– Max.I: Informative cycles are directed by its ammonia ‘clock’. Nitrogen vibrates across its Hydrogen triangle, perceiving and transferring electromagnetic information elaborated as Van der Wall forces to its carbon body that orientates the molecule in a chosen direction.

– Tiƒ≈Spe: Reproductive and social cycles: A rigid carbon chain can peg to its sides by affinity (3rd postulate of i-logic geometry) other carbon structures that latter might split, reproducing new glycine or might stick together, shaping new species of amino acids.

-Max.E: Entropy Cycles: The oxygen moves the molecule, propelled by the dual polarity of water.

– Social and Transcendental cycles: Their social evolution gives birth to macro-molecular proteins.

– Existential, generational cycles: The purpose of those molecules is to exist, performing their organic cycles.

Thus, after the birth of amino acids, Earth witnessed a massive replication of glycine, which soon diversified in all kind of sub-species that pegged to the original glycine new pieces of carbohydrates bodies, nitrogen eyes and oxygen legs. Thus the organic soup became an ecosystem of top predator amino acids that catalyzed the reproduction of new amino acids, absorbing the simpler molecular ‘nutrients’, till amino acids saturated the Earth’s oceans. Then those different amino acids associated in complementary st-herds, in which specialization occurred again, as some amino acids were designed better to gather Entropy with extra oxygen legs; some had extra nitrogen heads to process information and some were long carbon chains better suited to split, peg and reproduce new amino acid pieces. Thus we can easily classify amino acids as informative amino acids, with ring structures filled with Nitrogens; energetic amino acids, with added Oxygens – Phosphors and sulfurs, atoms with high ‘electro negativity’ that are able to capture energetic electrons; and reproductive amino acids with long carbon chains.

Social evolution of amino acids: the protein age.

Amino acids in their social stage of evolution became, according to the inverse morphological isomorphisms of transcendental evolution, the ‘relative Entropy’ of new macro-molecular proteins. So they lost its ‘active’ heads and tails, pegged now to each other, as the ‘fixed’ neutralized st-points of the protein’s spiral structure; where the active parts are radicals joined to the central carbon of the amino acid. Those bulky, seemingly unnecessary radicals that hindered the motions of free amino acids show its true value in proteins. (This often happens in evolution, which requires first mutational, inefficient stages that reorganize into functional macro-systems thanks to the directed ternary systems created by fast, planned evolution. If all were chaotic, slow Darwinian mutations most mutations would not survive long enough to transcend into useful new organs, as Darwin already noticed it, studying wing evolution. Thus transitional stages are a proof of ‘∆-volution’.)

Proteins are huge carbon chains that fusion the fractal actions of those radicals with many oxygen legs and a few nitrogen eyes into a simultaneous present of Max.IxE force. They are like centipedes, entities with simple perception but a fearsome Entropy that allows proteins to cut and kill all the micro-molecules of the life ecosystem. So they became the new top predators of the original carbon soup, probably chasing down free amino acids to replicate themselves.

Finally, lineal proteins evolved further, according to the inverse isomorphisms of transcendental, social evolution, forming self-replicating hollow membranes with cyclical, still forms, which nucleic acids will latter fill and dominate, creating cells. Indeed, the protein’s simple minds made their top predator status short living when the 3rd informative horizon of molecular life, the nucleotide, evolved.

Informative age: Nitrogen bases and Nucleotide acid.

In the previous graph, we show the final, informative age of life molecules, which occurred when the amino acid evolved its lineal, simplex 3 st-regions adding a new, informative dimension and creating the 3 globular zones of the nucleotide:

– Max. Tiƒ≈Spe: The improved body is called a sugar that has, instead of the carbohydrate’s zigzag line proper of amino acid bodies, a pentagonal form, a powerful compact body cycle that appears in all scalar morphologies. Further on, the sugar pentagon adds one lateral oxygen’s rudder that can chain or unchain itself to other sugar rings through easy to break oxygen bridges. So the reproductive speed of the new nucleotide’s body based in the capacity to peg and split its body increases.

– Max. E: A nucleotide tail adds up a highly energetic, phosphoric acid (PO4H3) that has more oxygens than the amino acid’s original COOH tail and so it swims better in water. The heavier phosphor is also a nitrogen-friendly atom, from the same 3-5 valence electronic column. So the head improves its control of the tail and its energetic oxygen atoms.

– Max.I: Finally the Nucleotides’ heads add up new nitrogens, creating cyclical, hexagonal rings, called Pyrimidines, which once more diversify in 3 subspecies: Thymine, Uracil or Cytosine…

– Uracil is lighter. So it is the brick for building highly mobile social nucleotides called RNAs.

– Thymine is heavier, since it has one more carbon, while Cytosine adds Nitrogen with 2 Hydrogen ‘antennae’. So they are the bricks of DNA, the most informative, still molecule of life.

Finally the most complex nucleotide heads are Purines: dual, pentagonal and hexagonal nitrogen rings, joined by a strong covalent C=C wall that form dual couples, called Adenine and Guanine, which add an external nitrogen antenna with 2 Hydrogen eyes to probe the unknown world.

So the globular structure of Nucleotides also creates more evolved social forms, the RNA and DNA acids that will control protein membranes in the cellular scale.

If structural bodies dominate amino acids and proteins, the dominant element in Nucleotides are their nitrogen heads. They become the unit of the social, informative languages of cells, playing a key role in all their informative tasks, as the main elements of most hormones and the fractal units of macro-molecular DNAs, which will create the higher, cellular scale of life forms.

Bases express the 4 arrows of time in life. Some basic rules

Now we have come to a key element of the program of life, the existence of 4 based, which will codify the creation of superorganisms of cells. Why? We have again and again show that each super organism requires a language able to express the 3+1 arrows/dimension of space-time existence, the program or will of the Universe. It is easy then to observe that the 4 bases represent a new whole game of existence, as the 4 dimensions of space-time do or the 4 quantum numbers, or the 4 drives of life, and since function is form, just looking at those bases we can deduce that:

The simplex arrows are expressed by simplex Pyrimidines (single cycle)

  • Uracil and thymine with more oxygen are the energetic drive expression and complex genetics show this to be the case, as they are more abundant in functions and genes related to energetic systems.
  • Their informative head is adenine and as such is the dominant base of the system. It has a Nitrogen higher mass and a nitrogen head with 2 antennae. It is the head of the ATP systems that command as small molecules the game of proteins and most orders of actions in the cell. Both the simplex body T and head A assembly together by affinity and complementarity

The complex arrows are expressed by dual Nitrogen cycles:

  • Cytosine is the balanced dual molecule. Hence the reproductive arrow. And indeed, when it is uncovered in the DNA loosing its cover it allows the expression of genes.
  • Guanine is therefore the 4th social arrow and the base that brings the next scale.

This simple scheme of the 4 dimensions of life languages is determinant for fully understanding the whys of genetics, which now are only described at the level of the 3rd paradigm (how-description).

Example: Receptors of complex, external orders.

Consider the case of the GDP and GTP molecules. Their function is essential to the transmission of orders from the higher scale of neuro-hormonal messages that regulate the superorganisms of cells. 60 % of all external signals to cells are transferred through the activity of Guanine, the social nucleotide, activated through the G-protein channel. As such the GDP/GTP molecule is the ‘boss’ of intercellular communication, as the ATP molecule is the boss of energetic communication.

The ATP in fact in conjunction with the energetic Tyr amino acid (with an extra oxygen), and the energetic Phosphor atom, works with the second most common membrane messenger, after the G-protein channel, two poles that become activated by phosphorilization, bringing to them ‘hungry’ proteins that become energized and provoke signals for energetic and reproductive arrows. (Remember that simplex informative and complex social evolution are the two related arrows of temporal information, most associated, and the complex reproductive and simplex energetic arrows are the tandem associated to energetic space). Thus the receptor called Tirosincinasa is also related to the cinasas, which are the enzymes that provoke the energetic mitosis and death of the cell. This examples shows how the emergence of the properties of smaller scales are always transcendental, social evolutions of one of the 4 arrows of time, the will or program of the Universe that maintains the self-similarity of scales.

Let us consider the ternary differentiation of this molecule, ATP, as it is the key to the energetic force that propels and makes possible the cell.

The age of nucleotides: ternary differentiation of species.

So after the age of Amino acids and proteins, there was an age of Nucleotides, which differentiated again according to duality in 2 subspecies: One rich in Entropy, the other richer in information:

– Max. E: The energetic Nucleotides are ATPs, the key molecules in all energetic life processes. Breathing and feeding could not happen without ATP, the specialized Entropy Nucleotide that again subdivides in 3 subspecies, which can be identified as the energetic, balanced and informative ATP:

– Max. E: ATP proper – an Adenine nucleotide with a longer tail with 3 Phosphors and 10 oxygens, ordered in a classic decametric, 3×3+(∆+1) scale: each phosphor controls 3 oxygens, and the 10th oxygen connects them to the sugar body.

– Tiƒ≈Spe: ADP, which has lost 1 phosphor and 4 oxygens (an HPO3 molecule) releasing in the process 34 KJ of Entropy, balancing its form with less Entropy but the same Nitrogen information.

-Max.I: AMP, which has lost another HPO3, becoming a cyclical molecule, since the phosphoric tail touches its nitrogen head. So it acts in cellular processes as an informative carrier, transferring hormonal information, amplifying it and programming the cell’s nucleus with that information.

– Max.I: The informative, social evolution of nucleotide acids gives birth to RNA and DNA.

Nucleotides evolve socially, becoming according to the isomorphisms of transcendental inversion between micro and macro planes (I∆-1=E), ‘Entropy cells’ of RNA and DNA spirals, grouped again in triads that form a spiral cycle. Those triplets surrounded by energetic ATPs create genetic scales in groups of 3, 9, 27…

Those 3n elements in turn will shape the structure of 2 new macro-molecular informative species, differentiated according to the TiƒxSpe complementary, dual principle:

– Max. E: Lineal, moving RNAs that carry the actions of the cells, again differentiated in:

– Max. E: Ribosomal RNA joined to energetic proteins that peg the carbohydrate’s pieces.

– Tiƒ≈Spe: Transfer RNA that carries the fractal units that reproduce carbohydrates.

– Max.I: Messenger RNA that copies DNA information and takes it to the Ribosome.

– Max.I: Cyclical, still, informative DNA, made with 2 complementary RNAs, which carries so much informative, genetic information about the metabolic and reproductive cycles of all other carbohydrates that will become the ‘brain’ of the new scale of life, the cell… The nucleotide structure of DNA shows the magic ‘tetraktys’ that fascinated Pythagoras: 1, 2, 3, 4 dimensions that add up into a decametric scale. Indeed, 1 DNA made with 2 RNA chains joined by nucleotide pairs form a structural tie of DNA; 3 nucleotides form the basic informative ‘gene’ to create amino acids; and 4 dimensional bases is all what it is needed to create all the cycles and elements of the cellular game.

Those 3 type of molecular ‘ages’ will become then the 3 ‘topological’ st-forms of the cell: amino-acids become the Entropy bites of the cells along with water, its medium; proteins will create the walls reproduced in its organelles and nucleotide acids will become the informative, perceptive species that run the show.

Recap. The evolution of life molecules took life through its first 3 ages, the age of amino acids, the age of proteins and the age of Nucleotides, the informative, hyperbolic species that will reorganize them all to create the cell.

The social evolution of macromolecules into the cell.

image018image016 In the graph, the evolution of carbon-life molecules in 3 series of growing size, diversified in Max. Spatial Entropy, Max. Temporal Information, and Se=To balanced subspecies.

The Ternary Principle diversifies species and then combines them. So methane, Ammonia and Water combine to give either an informative Carbonamide or an energetic alcohol. Both are evolved finally into a carbon-acid.

Both species again mix in balanced amino acids, to further increase their information and Entropy tendencies adding new Informative nitrogens (bases, porphyries), or adding Oxygen legs (sugars, lipids). The balanced combination, the amino acid with two oxide legs, and one Nitrogen head, evolves into the next level of macromolecules, the proteins.

On the other hand nitrogen bases keep evolving in social rings; while acids add a macro-atom of enormous energetic power, Phosphor to improve its Entropy abilities. Finally sugars form with oxygen polysaccharides.

We have 3 species of macro-molecules in a new E-TiƒxSpe-I game:

– Macromolecules of enormous capacity as Entropy, the Phosphoric acid and other long acid systems (sugars, lipids).

– Macromolecules with structural versatility: proteins.

– Macromolecules of high informative capacity, RNAs and DNAs.

They are the 3 specialized molecules that give birth to the new plane of social existence, that of the DNA-cell.

∆+1: The macromolecules of the 3 previous horizons, guided by the genetic, informative language of nucleotides, transcend socially into the cell; a st-point, in which they will play the same specialized roles they played in the macro-molecular age, creating the 3 st-specialized zones of a bigger, fractal plane of existence:

– Max. E: The external membrane, inner invaginations and cilia are the energetic borders of the cell controlled by lineal proteins, intertwined with long, energetic chains of fats and sugars called polysaccharides, hyper-abundant in oxygen. Proteins become 3-dimensionally warped as units of the spherical membrane with globular, inverse morphologies due to the law of transcendental evolution that transforms the morphology of a form in its inverse form, when it transcends into a higher scale ∑(E∆-1=I). Among those inner invaginations we highlight lysosomes, smaller protein jails that store the excess of energetic fats and sugars, kill carbohydrates or eject them outside the membrane.

Tiƒ≈Spe: The intermediate region reproduces the cells’ Entropy and information: energetic chloroplasts and mitochondria provide electronic Entropy needed to perform the moving cycles of the cell; while informative ribosomes create the materials needed to maintain the membrane and nucleus.

– Max.I: The inner nucleus is the informative center of the cell, filled with cyclical, informative DNA macromolecules and 3 lineal sub-species of RNA, which perform together the orders of the still, DNA brain, creating a simultaneous herd of Max. I x Max. E force that rules all other symbiotic elements of the cell. RNAs control proteins, which act thanks to its energetic strength as the body element of all cells, shaping their hard membranes, killing other carbohydrates and transporting RNAs’ hormonal sentences throughout the organism.

To reinforce their control of those proteins the first RNAs herds might have killed all those amino acids and proteins they did not need. So today there are only 20 surviving amino acids, all oriented towards the left side. Why? According to the multifunctional principle we can consider 3 reasons:

– 20 amino acids form the magic number of 2×10 couples, which allows an efficient division of energetic, informative and reproductive tasks, without redundancy.

– A single orientation in space-time allows all those amino acids to act simultaneously together, multiplying its TiƒxSpe power as a herd, without anyone ‘giving the back’ to the group.

– Since the most efficient reproductive system is the specular, sexual method, in which 2 complementary inverse morphologies gather together, a carbohydrate chain could replicate, as DNA does, by specular affinity, attaching parallel forms to its body structure, creating its specular image twice. So if an L amino acid replicates a D amino acid (a macho replicates a female so to speak), and then the D amino acid replicates an L amino acid , the system becomes a self-reproducing amino acid, free from RNA control. By avoiding the reproduction of D amino acids, nucleic acids control the creation of ‘castrated’ amino acids and proteins. So Nucleic acids probably extinguished D-amino acids to control better the castrated proteins of their cellular farm. Humans also castrate tamed animals; yet amazingly enough they are researching self-reproductive nano-robotic bacteria that might extinguish us, forgetting that reproductive control is a basic tool of any biological top predator.

Recap. Cells are made of energetic amino acids, reproductive proteins that form membranes and informative nucleotides, enclosed in its nuclei.


Youth Horizon: From Prokaryote to Eukaryotic cells.

The previous description of the evolution of molecules requires to change the ‘chip’ of the scientist and accept the tenants of organicism in simple atoms; which so far science has only, according to the Galilean paradox of self-centered perception, accepted for the next scale of life – the cell.

At the beginning cells, called monera, did not have a differentiated nucleus membrane, which means their informative singularity was mainly moving RNA. As evolution continued through the dual/ternary differentiations proper of all TiƒxSpe systems, RNAs split accordingly in 3 sub-species to carry out the specialized Entropy, informative and reproductive tasks of protein control, carbohydrate production and self-replication, through complementary, inverse, specular translation. Then, one RNA, which produced a specular image of itself, probably got pegged to that image and became ‘fixed’, as a still, dual DNA, an informative mirror of an RNA molecule, geared to reproduce it. Accordingly those first DNA molecules acquired the cyclical ring form they still have in all monera.

Soon the extraordinary reproductive growth of DNA cells made them giant cells that exhausted their trophic nutrients. So finally they cannibalized other cells to maintain that reproductive growth. First those cells would be killed and their nutrients absorbed but then some very efficient energetic and informative cells would become slaves within the cell ‘farm’ in a process repeated in all ∆-scales: first top predators are hunters but then informative top predators create farms. So worm holes use herds of stars to absorb intergalactic dust; men use dogs to herd sheep; and monera cells used ribosomes to reproduce informative molecules and mitochondria to absorb Entropy, forming the first macro-cells. Those who ‘ate up’ mitochondria, which produce Entropy from carbohydrate products, would become animal cells and kept hunting other cells to find semi-elaborated nutrients. Those who ‘ate up’ chloroplasts, which produce Entropy from small carbohydrates and light, would become plant cells.

Now the quantity of DNA in the cell grew to add up the DNA of those organelles and its variety of cyclical memories was so vast that it had to pack itself further, changing its bidimensional, cyclical form into a 3 dimensional spiral, and acquiring structures of energetic sustain: proteins that coiled around DNA and a nucleus with differentiated walls that surrounded DNAs. The age of eukaryotic, gigantic cells had started.

Recap. As information multiplied in simple cells, the RNA age gave way to the DNA age whose extra-genetic code should control the evolution of complex multi-cellular structures.

The vital cycles of the cell.

The cell is a brain-body system constructed with 2 elements, nucleotide acids, based in nitrogen bases and protein bodies based in carbon chains, which are the informative and spatial systems of the cell. Around that TiƒxSpe core duality we find an expansive intermediate, cyclical region with all kind of slavish organelles that perform their Entropy cycles (based in the energetic properties of oxygen, water and similar electronegative atoms); and their informative cycles. Both cycles are catalyzed by denser metal atoms that boost the E/I capacities of carbohydrates. Thus, through the interaction of carbohydrates, metallic ions, proteins and nucleotide acids, cells perform the 3±∆ cycles of all st-points:

Max.E: In an organism, Mg, copper and iron capture oxygen and deliver it to each cell to perform energetic cycles; while in the cell cytochromes kill and split the energetic hydrogen atom into H+ and e ions in mitochondria or chloroplasts; absorbing its spatial Entropy; while metal atoms stabilize protein enzymes.

Max.I: Na and K ions control the expansive and implosive rhythms of the electric membrane, sending informative messages among cells -while RNA and DNA molecules process information within the cell, reproducing new carbohydrate molecules.

– The combined effect of the accumulation of Entropy and information within the cell triggers the reproductive cycle, guided by RNA and DNA molecules.

– ∑: Cells evolve socially into macro-organisms. Yet only the RNA-DNA system creates complex informative, control networks.

– ±i: Cells live a generational cycle chained to an organism that kills them ‘periodically’, or as free cells that die when captured by top predator living beings. Since most cells can be immortal if no other system kills or controls them hierarchically.

All those cellular cycles are not ‘mechanic processes’ but they have evolved departing from the organic, dual, Darwinian and symbiotic interactions between proteins and nucleotide acids, the dominant energetic and informative macromolecules of cells. The most important cycle is the reproductive cycle, which in the cell as in other fractal space-time represents the existential will that ensures the perpetuation of the species. Let us consider it.

Recap. Cells follow the same arrows of existence of all st-points.

The reproductive cycle.


The interphase, prophase, anaphase and telophase complete the reproduction of the cell, in which the centriole, a perfect example of a decametric structure, with 9×2 lineal proteins and a central 2×1 nucleus that controls the lower scale of 9 forms, plays the key energetic role of motion control.

The phases of reproduction of a cell called mitosis (I, 6, 25), are in fact its death period, that lasts the shorter period of the daily life of a cell. It is the genius of the cell to use its death period to split and renew itself by the arrow of reproduction. Yet it can still be defined as a death period, which always means that the E/I fields of the system reverse in time, the energetic, destructive arrow dominates and ends up dissolving and splitting the complex informative brain. So in the cell you can see mitosis as the sudden dominance of the lineal, protein, killing centrioles which are reproduced in excess at the end of the S2 phase or 3rd age of the cells, both at the lower molecular scale (assembly of ctk enzymes) and at cellular scale (centrioles and spindle) and then attack and break in two the chromosomes:

The reproductive cycle of cells shows an evolutionary pattern observed in many dual cycles between 2 complementary st-points of relative Entropy and information, which first confront their energetic and informative inverse forms. But as time goes by often by chance they realize that social, complementary evolution is more efficient than Darwinian, energetic destruction. And so they end up evolving together, following the positive, creative arrow of the Universe. We can hypothesize according to that homology the 3 ages of evolution of the reproductive cycle:

– Energetic, unicellular age: Sexual reproduction probably started as a Darwinian, energetic process of hunting in which lineal, energetic sperm killed the cyclical ovum and learned to host its DNA-code as virus do, in the ovum’s center. Yet as the sexual cycle evolved beyond the energetic, young age of the cycle, the ‘war of sexes’ ended and the cycle moved into a balanced 2nd age.

-Tiƒ≈Spe: Reproductive, ‘colonial age’. Now information was exchanged between both forms, the sperm and the ovum – since sexes are in fact a specialization of species into energetic males and informative females. And a new symbiotic dual form was born. Those forms would start reproductive radiations multiplying the number of cells. So probably sexual reproduction is a key factor in the multicellular explosion of the Cambric age.

– Informative, palingenetic age. Finally, in the 3rd age of sexual evolution the informative female species dominated the cycle, as females have more genetic code (2 complete X chromosomes) and control during pregnancy the reproductive, palingenetic cycle that brings the embryo into a new ‘macro-organic level of existence’. If we observe the family cycle of human couples, women also tend to dominate the couple in its 3rd longer age, as Proust already notice; since information lasts longer than Entropy in time.

In complex organisms a living, reproductive cycle is dual: it departs from the simplex reproduction of a single cell that multiplies. Then those self-similar cells suffer a complex process of palingenetic reproduction that recreates an organism made of billions of cells, departing from that single cell.

Cellular reproduction: a tug of war between DNA and proteins.

Let us consider in this synoptic paper, the simpler process of cellular reproduction, as we have treated palingenesis in our analysis of the 4th postulate of i-logic geometry:

Organic cells reproduce within a day, chained to the symbiotic daily feeding period of the organism that provides them with Entropy and information for that reproduction. Fractal cellular reproduction shows also that duality between positive, organic complementarity Vs. negative Darwinian struggle that either balances E-bodies and I-brains into organic systems or determines their mutual destruction when that balance is broken (death processes, Lorenz Transformations, etc.) In the reproductive cell cycle, the most efficient body proteins – lineal, tubular centrioles – and the top predator, informative DNAs enact an ambiguous struggle between their Darwinian desire of mutual destruction and their need of complementary evolution.

So cellular reproduction is a mixed cycle based in both kinds of relationships in which first the lineal species of cellular Entropy (centrioles, which are long (9+1) x 2 protein fibers with a perfect decametric structure), untie the cyclical species of pure information (DNAs), trying to split and kill them. Yet DNAs, once uncoiled, defend themselves ‘informatively’, creating a new membrane that breaks the centrioles apart into 2 groups, and also breaks the cell creating 2 new ones. We can distinguish several phases in that dual struggle, dominated alternately by each of those 2 forms that involve all the other elements of the cell, directed in their dance by those max.E x Max.I top predator elements or ‘upper classes’ of the cell. It will be a tug of war that illustrates all the geometrical strategies of Darwinian and complementary events between dynamic st-points:

-In the interphase, both top predator substances replicate. The centrioles are outside the membrane, which protects the DNA.

-In the prophase centrioles start their hunting: the protein’s membrane of the nucleus dissolves, exposing DNAs’ chromosomes that become visible preys. As all other universal preys do, from wriggling worms to high frequency rays, from submissive servants to herds of electrons in front of a quark or fishes in front of a shark, chromosomes try now to hide by coiling up, becoming contracted, shorter forms. Then the hunting starts. Centrioles have replicated and now double its fractal action, moving to both sides of the DNA nucleus, forming dual, long molecular chains joined by filaments. So they create a polar field of forces that captures in its filamentous web the self-replicated DNA, as a North and South Pole create together a magnetic force field that aligns atoms or two boats web a net to capture fishes.

-In the metaphase chromosomes defend themselves from the 2 centrioles that throw the ‘hooks’ of their force field, stretching the DNAs. But those chromosomes that have replicated in the earlier interphase evolve now socially in couples of parallel forms, increasing its fractal mass and moving away from the centrioles in a classic protective strategy: They arrange themselves in the equator of the spindle, adopting a Darwinian, perpendicular position, the farthest away from those centrioles. It is exactly the way in which diamagnetic particles that flee from magnetic fields, arrange themselves trying to receive the minimal quantity of force from the North and South Poles of the magnetic field.

-In the Anaphase centrioles counter-attack, splitting away the chromosome pairs.

In the telophase, DNAs find their winning, defensive strategy: They are the informative species that store the genetic code of all cellular forms. So DNAs start to reproduce new membranes in a frenzy till those membranes break the centrioles’ spindle through its middle zone, isolating each centriole and breaking their field of lineal, protein forces. Since lineal, energetic or reproductive beings, like centrioles or ‘magnetic’ fields are, cannot create monopoles. Only temporal, implosive, informative cyclical particles can do that. So the spindle dissolves and the new membrane divides the cell.

Now the system reaches again a balance, as the dual chromosomes and the dual centrioles become again single forms surrounded by a new membrane.

Thus the dynamic tug of war between a protein’s body and a nucleotide’s brain ends up in a draw, creating 2 cells instead of one, which will re-start after a rest period a new interphase process of protein and DNA reproduction. Since the Universe is indeed a game of reproductive radiations, the ultimate will of all beings that want to survive their fractal, periodic death by creating a self-similar ‘present’ form.

A variation of that process required in sexual reproduction, is called meiosis, in which the twin reproduction of DNA and its subsequent destruction of the nucleus’ membrane is provoked by the energetic sperm that enters the ovum, invading, as a virus does, its DNA nucleus and merging its genetic material. So, as it happens in the interphase of a cell, the fecundated sexual cell has 2 parallel quantities of DNA, albeit with different genetic material, coming from the ovule and the sperm. So as the replicating process repeats through the same phases of any cellular reproduction, the final result won’t be an identical cell but a cell that mixes the genes of both, the sperm and the ovum. When besides sexual duplication there is an interphase with chromosomal duplication the final 2 cells will be diploid cells with twice the genetic material of the original cell. This happens only in multicellular organisms, as redundant genetic material is useful to store genetic orders needed for the complex construction of multicellular structures; but it would be redundant in the simple life of a monera cell, which escapes the interphase duplication.

The TiƒxSpe duality of lineal sperm and cyclical ovum extends outside the realm of form and transcends to the upper scale of multi-cellular organisms and sexual characters: the ovum is an informative, cyclical, autotrophic female cell with higher chromosomal content; while sperm is an energetic, heterotrophic, lineal male cell with higher mobility. And we find according to the Fractal Principle, 3 evolutionary types of increasingly differentiated sexual cells: semen and ovum, which are equal in spatial size and temporal form (isogamy); semen that is equal in form but smaller than the ovum (anisogamy); and ovum and semen, which are different in spatial size and temporal form (oogamy), as in human beings.

Those differences between male sperm and female unicellular ovum, latter diluted as their genetic materials mix, reminds us of the differences between unicellular animal and plants, the main dual differentiation of life along its TiƒxSpe parameters that we will study now in more detail.

Recap. Sexual reproduction evolved from an energetic event in the unicellular age into a reproductive radiation and finally into the palingenetic process dominated by the ovum.

Cellular reproduction can be explained as a tug of war between the informative DNA and the reproductive proteins of the centrioles.

Ternary cell’s differentiation: plants, animals and fungi.


The kingdom of life shows in all its beauty the generic process of evolutionary differentiation of any space-time field, along the main 3±∆ dimensions, departing from a 1st singularity, which in the world of life is the Monera phylum – the initial cell, whose ternary differentiation gave birth to energetic plants, reproductive fungi and informative animals:

Max. E: Energetic plants use light as Entropy. Biologists talk of plants as autotrophic cells; still forms like the ovum, which create their Entropy and information quanta from light and water, in any place. So they made their membranes harder and thicker to maintain themselves centered in a territorial, discontinuous, vital space, regardless of what happens outside.

Max.I: Informative animals use light as information. Animals are heterotrophic, moving cells, which feed on other forms. Hence they developed thinner external membranes and cilia, which according to the multifunctional principle differentiated further into increasingly sophisticated sensorial antenna to localize their preys and lineal, moving engine with a master centriole – a ‘protein head’ on its base. So though in a 1st phase unicellular plants were more complex, animals ended up evolving greater quantities of inner, informative RNA-DNA to act-react faster in their unknown moving environments.

Tiƒ≈Spe: Reproductive fungi are organisms that have qualities belonging to both, the animal and plant kingdoms. Fungi feed on dead substances and survive thanks to their maximization of reproductive skills.6

The inverted forms and functions of plants and animals define both species as ‘antisymmetric systems’ ruled by their opposite diffeomorphic parameters of Entropy and information:

Their informative cycle and brain-body dimensions are inverted: plants have their brain down in the roots, since they use light as Entropy; animals have it on top, since they use light as information.

Their energetic cycles are inverted: plants breathe CO2 and produce oxygen; animals breathe oxygen and produce CO2. They also use carbohydrates in opposite ways, since plants foster constructive stillness and animals destructive movements: so plants make sugars the fixed structural element to construct cellulose and starch, their external membranes; while animals use sugar’s oxygen bonds breaking them to breath, liberate oxygen and move the body.

Their social and reproductive cycles are inverted: Animals are hierarchical organizations with a clear class division between informative, ‘upper class’ neuron networks and body cells, while plants are ‘democratic forms’ with minimal differentiation. So plants foster the spatial, reproductive arrow and animals the evolutionary, temporal arrow.

Their generational cycle is inverted: animals have faster, shorter vital cycles, since its temporal language is the faster, electronic, nervous language; while plants have longer life cycles at a lower ‘speed of informative processing’ – since they transmit chemical information through the hormonal system.

Departing from those 2 languages life evolved into a new scale of multicellular organization creating:

– Max. E. Chemical, multicellular organisms, plants that use hormonal languages.

– Max.I: ‘Electric’ organisms, multicellular animals that use the electronic language.

Recap. Plants, animal and fungi, the first 3 kingdoms of multicellular life are a ternary differentiation in e, TiƒxSpe and I species.


In Cyclical Time death is caused by the finite limits of fractal time and space. Death is a clear prove of the discontinuity of space and time. If we were continuous, that continuity of time and space would make us immortal and infinite. Which means that only the ∞ sum of fractal time-spaces or absolute Universe is eternal: the isomorphisms of temporal Entropy, the logos-mind of the Universe do not have and end nor a principle, because the sum of all the transformations of Entropy and information balances a dynamic Reality that never dies, remaining always in a relative, equal present. Reality exists ‘per in secula seculorum, amen’.

Only reproduction guarantees certain immortality, recreating our form in other region of space. Yet in all species the rate of reproduction also goes through 3 ages, and so when reproduction halts, not only the ‘cellular’ individual but the species of the ‘higher plane’ dies:

Big bang phase: A new species multiplies very fast departing from a 1st individual.

Steady state: Its reproductive rate stabilizes.

Population Crunch: Finally it slows down to a halt, extinguishing the species.

Death is in fact the most obvious prove of the discontinuity of space and time. If we were continuous, that continuity of time and space would make us immortal and infinite. Thus only the infinite sum of quantic time-spaces, the absolute Universe is eternal.

For the rest of us only reproduction guarantees certain immortality. Yet the rate of reproduction of any species is also quantic and goes through the 3 ages, starting slow, increasing its rate and finally slowing down to a halt, extinguishing the species or type of DNA-cells of any organic system. So in a human being the number of divisions of any cell reaches up to 50, whereas in chickens it goes up to 20 divisions. The greater rate happens in the oldest, living species: the Galapagos turtle that divides 102 times its cells. E=10i=2 is in fact the commonest constant in information warping, from the protonic accumulation of form in the atomic table, which after 100 forms becomes unstable to the limit of human aging.

According to the ternary principle, 3 biological strategies however seem to succeed death:

– Max.E= Some simple systems (coelenterate) reverse its time clock.

– Max. Re: Cells ‘trick’ their organic time clocks, to free themselves from the servitude of death, by multiplying its quantity of reproductive genes – its DNA molecules. The record belongs to cancerous cells, very rich in DNA, from the reproductive uterus of Henrietta Lacks, the so-called HeLa cells.

– Max.I: Humans achieve partial immortality through cultural memes.

Is there a species whose number of reproductions is infinite, an immortal being? No. Since even the nucleons of the big-bang reproduced e60 times to create the Universe, shaping a similar reproductive curve to that of living beings that now has slowed down to a trickle. So all dies for the game to renew itself.

Causes of Physiological Death.

The opposite process to the creation of life and the creation of form is the destruction of form into Entropy or death, (I<E: Max. E x Min.i), equally common. As one feeds into the other and together balance the dual arrows of the Universe.

Thus, the fundamental cause of death is to exist beyond the balance of form between the E and I components of any St-field. All beings have limits of excess of Entropy and/or form, which once crossed will bring their extinction, as their Entropy and information quanta ‘explode’ and split, dissolving the networks that kept the form together and were its inner consciousness. If a particle explodes close to C speed and splits its Entropy/information parameters according to Lorentz equations, so does a human being after dying. His Entropy dissolves back into his ∆-1 simpler cells. And then, since all deaths are dual big-bang explosions, humans return finally to the molecular, amino acid level from where they departed.

If we want to be specific about the causes of death in human organisms, death is the product of an imbalance, either by an excess of Entropy that causes sudden death in minimal Time (Max. e=Min.i), through war, sudden sickness or accidents, or by the accumulation of temporal information that spends the Entropy of the being during its long 3rd age, leaving traces of past cycles in cells and physiological networks that cause their malfunction. In other words, the nervous, informative network exhausts the body, causing a Max.I=min. E imbalance, that wrinkles and breaks the body cells into death. But also the opposed phenomenon, an excess of Entropy caused death. In both cases the imbalance breaks the complementarity between the space and time content of the being. However, since the direction of living beings is towards the informative future, the informative imbalance is more frequent and shows in the ‘growth’ of time properties.

So old people are as time is, cyclical, memorial, curved, with discontinuous wrinkles that break the smooth continuity and linearity of young, spatial beings. That quantic, curving process happens in all the species of the Universe that age: cyclical wrinkles and quantum cracks occur not only in the skin of an old man but in the membranes of our cells, their Golgi apparatus and “Entropy” mitochondria. That loss of Entropy in any old being, which becomes quantized and implosive, with negative curvature, has manifold manifestations: cells shrink and their membranes no longer dilate. An old man measures a few centimeters less. The 2 networks, the Entropy network or membrane and the informative network become rigid, quantized and no longer reproduce. In human cells, collagen and elastin, the proteins of cells, loose their elasticity and expansive capacity, creating, informative connections among them. So happens to the rigid, cross-wrinkled skin of the old man. Meanwhile the energetic, metabolic capacity of the organism and its quantic cells diminishes.

In a more generic way information and time are parallel. So species with more information and less Entropy live longer, according to the Time-Space inversion: Max. E=Min.i. Thus for example, an animal that fasts systematically and receives less Entropy, lives longer (hungry rats live a 20% more). The female, informative sex with smaller expenditure of Entropy lives longer than the energetic male. A being that lives in a hot, energetic environment lives shorter than one living in a cold environment. Hibernation that slows the metabolic rate elongates life. There is also a proportional relationship between the informative weight of the brain and the life span of an animal: Max.i (brain weight) =Max.i (life-span); which in inverse to the proportional relation between the metabolic expenditure of Entropy and the life span of the being: Max. metabolic rate (Max. E) = Min. Life span= Min.i, proving once more the inversion of space/time. So humans with huge brains live much longer than lions with huge bodies.

An excess of energetic atoms diminish time existence: Free radicals, which are oxygenated, energetic molecules, with free electrons (the Entropy body of atoms), deteriorate cells and their accumulation with age is a major cause of death. The degeneration and disorder of those cells can be caused by energetic radiations (electromagnetic rays of max. Entropy cause the mutation and death of cells.) The increase of fat, Entropy cells causes the death. So doctors establish a direct lineal relation between the accumulation of lipofuscine and the death of a living organism. An excess of Entropy is the main cause of accidental death among youngsters. So a speedy car crash breaks the body and the shock of a weapon’s impact, a form of energetic metal, kills a human being.

Yet in generic terms, information that forms, carves and quantizes amorphous, continuous Entropy is the supreme cause of death. As the chisel of a sculptor creates form by destroying the marble, so does the game of existence: For example, elephants create the form of the savannah, when killing its trees; quantized hands are formed in a fetus, when interdigital cells commit suicide (apoptosis). So ducks, which do not kill them, have membranes in their hands. All those causes of death have created an equal number of scientific theories about death, all related to the inversion between spatial Entropy and temporal information and the balance between Entropy and information that defines existence, as opposed to its imbalance that causes death.

Mental death.

But what happens to the brain’s information stored in the brain, after death? Does it dissolve also, as body cells do; as the magnetic, informative field of a star does or the mass vortex of a Nuclear Bomb does? Or does it transcend, as the photonic light does, into the higher electron, or the seminal cell does when it evolves into a new macro-organism?

According to empirical descriptions of death and the general MST isomorphisms for all space-time fields, information ‘rewinds back’, travelling also to the past, becoming erased, as it happens to our cells.

So most likely the information of the being will no longer be. It will become untied Entropy, cellular form and then molecular or atomic quanta. Since when we are incinerated, we fall to the consciousness of the atom. Yet consciousness, ‘sensation’, the very essence of ‘existence’, never goes away, it only jumps from atom to cell to man and vice versa. The optimist believer might believe in the transcendence of the ‘informative mind’ to a ‘higher’ plane of existence with more information, that of a human super-organism or collective God, as in a palingenetic process that makes a cell transcend into an organism. The pessimist thinker might believe in the devolution of consciousness to the “obscure world”, with less information, of cells and atoms. It is what mystiques have explained in poetic terms as the opposition between the ascension to Heavens Vs. the quantic jump into Hell. So ∆±1 birth and death discontinuities are jumps between planes.

But how ‘sensorial perception’ changes in those discontinuities? It does so through the 2 antithetic sensations of TiƒxSpe existence, which are informative pain and energetic pleasure.

Those 2 paradoxical, antagonist sensations happen not only in men but also in animal life and perhaps in all atomic forms, because they are based in the geometric properties of information and Entropy. Indeed, pain is created by ‘pressure’ on our cells, which is an implosive, temporal movement, also related to the consciousness of information. While pleasure is caused by the ‘expansion of blood in the genital system, an energetic process. So we have the key duality of consciousness:



Since information is desirable, the negative arrow of pain balances the positive arrow of perception. On the other hand since everybody likes pleasure, it balances the negative arrow of Entropy that erases awareness; creating a ‘balance of wills’ that makes possible to wish both life and death. Thus, in terms of sensations, death will bring just a sudden pain, the peak of our ‘informative awareness’ towards the future, before we change ‘phase of existence’. Then death will be followed by a deep orgasm of energetic pleasure that erases all information, as we fall down the peak. Since pleasure is synonymous of Entropy, a travel to the past opposite to the awareness of perception, information and implosive pain, a trip to the informative future.

So after pain ends our will to live, we relax in a deep orgasm that erases information, reversing our space-time field, as our consciousness moves towards the past. Then the brain rewinds back the memories of its existence that cross for a last time through the ‘soul’ of the brain, more likely a neuron’s network.

Yet, because time accelerates in smaller beings, the speed of times of the brain accelerates in that rewinding back, during which our black hole vortex or soul, the informative singularity of the mind, feeds back towards youth, perceiving and erasing a last time those memories. That is why in the 3 days of death of our organic system, as our body becomes corrupted and our consciousness dies, we can recall all those long years of existence at ‘fast motion’, as we rewind faster a tape than when we see it. That is why those who woke up from death could describe it as a trip to “the past” through its memories, because after death consciousness will perceive life “the other way around” at the faster time rhythm of cellular life. Then, finally we will enter back the uterus and return to the ovum’s cellular consciousness; and then again we will die in a second big-bang, burnt in a crematory or feeding the insects that reduce us to molecular form. But ‘we’ will no longer be human. As a Hindi legend say,’ an ant was once Indra, a king of kings’. For those who are ego-driven, there is no need to worry; the game is limited in its variations. So you are in a way immortal. Since we are repeated in infinite places of space and time; you will be born in another planet to live your life again.

Yet, far more important than the death of any diminutive MST field, is the death of the ∆+1 scale of existence, the death of living species or human civilizations, related to the process of evolution and extinction of the Earth’s ecosystems…

Recap. Death is brief in time, exploding in space the information of the being. Death is caused by an imbalance between the Entropy and information of a system. Energetic beings live shorter than informative beings. All systems have a finite duration in time. So death requires reproduction for the species to become immortal.






The 10 Isomorphisms 

0th isomorphism: Self: Œ-Point x ∞ World = Constant mind Mapping

It is the alpha and omega, the 0 and 10th isomorphism: the point of the mind, site of the will, which orders the system internally in its ∑∆-1 parts and perceives it as an ∆-whole, part of its ∆+1 society. The topological center of a sphere, which can according to Poincare’s conjecture represent without deformation its whole world in the infinitesimal fractal, non-Euclidean mind point.

1st isomorphism: Fractal Generator: Its 3 organs/networks: Spe≤≥ ST≤≥Tƒ

Its 3 organic/network topologies in space… and 3 x 3+ œ-subsystems

2nd isomorphism: space-time dualities: Sp≈Tƒ

The system’s Space and Time components, which are also its Energy and Information, as Space is a fixed vision of the energy quanta that make a system, and information a still vision of time cycles that carry it in the frequency and form of those cycles.

So we identify the main elements and plane of existence of a system and consider its ‘gender varieties (lineal energy=male, cyclical information=female’ and Sp vs. Tƒ symmetries.



In the graph, a mammal territory. Any animal territory is an i-logic space-time with 3 zones:

– An informative central territory (1) or den, where animals reproduce and 2 secondary homes where the herd performs secondary organic cycles (2,3).

– An energetic membrane (M, 5) – an invisible limit that provokes a confrontation if a stranger crosses it and where most energetic preys ‘flee’ away from the den of the predator.

– An intermediate zone with cyclical paths of absorption of Entropy and information; where we find a hunting territory, places to drink (E), to bath (B), socialize (A), defecate (D), etc.

In organic terms, a dimension is a network. So a living organism can be considered a sum of cellular quanta united by 3 basic space/time discreet dimensional networks, which are its physiological systems: the digestive/energetic network, the informative/nervous network and the reproductive/blood networks around which cells teem, creating a stable, organic ∆-point. In other words the Entropy and informative networks of a living being are its internal, diffeomorphic dimensions (of relative length and height), to which the organic system adds a 3rd, reproductive dimension that combines both elements and represents the width or ‘volume of cellular quanta’ of the system. Finally its movement in the external world becomes its 4th temporal dimension. Yet that 4th dimension of external activity can also be considered a network territory in itself, sum of the 3±∆ cycles of existence of the being, creating a bigger vital space that will become the basic unit of an ecosystem or social organism made of individuals of the same species. In the figure we draw the vital territory of a minimal social pair of mammals, differentiated in 3 clear sub-sectors:

– Max.Information: Informative den or central territory (1,2,3):

It is the territory of reproduction used to copulate and store basic food and Entropy to raise the young. It is a forbidden zone where not even hunting is allowed (4). In social species of great mobility, aerial or marine, where borders are much more extensive, this territory is very ample and tends to be located in warm latitudes.

– Entropy=Information: Dual Territory of Entropy hunting and informative socialization (5).

It is the feeding, social and hunting territory, on which the central informative being feeds itself. It is outside the zone of reproduction. It is the winter territory of many migratory birds.

Given the relativism of all movement, in biological territories the informative singularity moves to hunt its Entropy quanta, as opposed to galaxies where stars and space-time dust moves towards the central wormhole.

Within those limits there are also neutral territories of communication, courtship reproduction and free Entropy, like water troughs. So the intermediate territory works both, as an informative and energetic territory where different victims and predators trace parallel cycles and come together around meeting points (E, B, R).

– Max. Entropy: Borders that limit the territory.

Membranes are dangerous zones because the informative center watches them with special care to control any invasion of its hunting/social territory.

Those limits fluctuate according to the power of neighbors. For example, the vital space of a fish increases during mating, since the couple is more powerful than a single individual.

Marks (M points) fix those limits and reduce combats. They are often invisible, as most territories are defended against competitors of the same species, who understand the informative code of those marks; but rarely against members of other species. So we find all kind of linguistic marks:

– Smells (common in mammals, like foxes, rhinos, antelopes), excrements (in canines and felids) or other glandular secretions.

– Optical marks often connected to scents: The brown bear creates marks in trees, rubbing them with his head, warning adversaries of his great TiƒxSpe size and force. In human empires (nations can also be treated as biological territories) visual marks correspond to armies displayed in the borders. In human homes those marks used to be shields with weapons; now they are cars and other proofs of money, the new language of social power.

– High pitch, acoustic marks, proper of birds, which are triggered when a rival enters the territory.

Recap. Vital territories of animals and human nations can be explained with the 3 topological regions of st-points.

3rd Isomorphism: Its ages and evolution: Spe≤ST≥Tƒ

its 3±∆ ages in time…and its evolutionary ages in the ∆+1 plane of species.

4th Isomorphism: Its actions: ∆(æ-4; ï-3; e-2; œ-1; û+1)

Thus now we can easily describe its main 5 actions derived by those Dimensional components across its ∆±4 Fractal planes of existence: ∆æ-4 (acceleration of motion), ∆ï-3 (perception), ∆e-2 (feeding), ∆œ-1 (Repetition), ∆ §10≈û+1 (social union)¹.

5th Isomorphism: Its planes of Existence: ∆±4 Fractals

The ‘metric’, Scalar Space-time Generator equation which describes all its Space-time dimensions and isomorphic planes: ∆±4=SpxTƒ. And it allows to study its ∆-4, motion, ∆-3, information pixels, ∆-2, energy quanta, ∆-1 seminal seeds, §10≈û+1, social scales, ∆+1 super organism, ∆+2 world and that’s about it. We do not really care for its ∆+3 galaxy (-: and beyond.   And so now that we have it almost all said, we define the ∆ST structure of the being, with its specific generator equation in which the whole is represented, with all the previous data. This generator equation completes our understanding of the being.

6th Isomorphism: Social classes: Ξ±3

Then we find its internal hierarchical social class structure and exchanges of energy and information among its ∆±1 ‘willing’ scales (the cellular/atomic ∆-1 plane, the individual and ∆+1, social/cosmic plane, where the being exists and which remains co-invariant through its inter-actions. So we analyze the closest world around it, through the perpendicularity and parallel laws of Non-Euclidean geometry’s ‘3rd postulate’ of similarity.

Creative diversification: 1,2,3

We show now the processes of creation and diversification of a given species. We study its gender dualities and its topological varieties caused by Sp,ST,Tƒ differentiation and the coding 4 numbers of its ‘∫æ,e,ï,œ≈û’ actions.

7th Isomorphism. Existential Constants: ∑S, ∏T, SxT, S/T, T/S, Œ∆±1, 5Å.

Next, we study the system quantitatively, through its Constants of Action, its Social Constants and its Space-time symmetries, all of them determined by the ratios of exchange of energy and information between its PSD elements. This is the most mathematical detailed analysis after the qualitative understanding of all the elements of the being.

8th isomorphism.Motions in life are dominant nOT in locomotion but in organic creation and information, as we have seen before, all together create a world cycle of life species.

9th isomorphism. Social scales. §10

Finally we consider the last phase of its evolution which is social – for the most advances species, which transcend into a higher ∆- plane of existence through §10=(3×3+∆)¹° scales.

10=0th isomorphism:∆±1: finally we can describe the whole through the 10th isomorphism, ∆, where all the parts come together.


The ∆ST isomorphisms of Organisms.

Note. As the web progresses each link of the 10 Isoforms will connect to specific studies of each ∆-scale. Till then they connect to the general analysis of them

1st isomorphism: Fractal Generator: Its 3 organic/networks:  Spe≤≥ ST≤≥Tƒ

Animals have lineal limbs, toroid, reproductive bodies and Informative, top heads.

Each organ and type of cell can be subdivided in 3 (fractal law). I.e. the dominant electric cell subdivides in NervesMax.Tƒ, MusclesST with multiple Nuclei and digestive cellsmax.ST

In the complex model we map out by fractal 3-differentiation all the organs of animal life.

∑∆: Plants are herds of cells which form fractal networks, with Sp:|-leaves; ST trunks with toroid up &down vessels & Max.Tƒ, fractal roots.

2nd isomorphism: space-time dualities: Sp≈Tƒ

Max. Sp x Min.Tƒ plants & Max.Tƒ x Min. Sp animals are the main SpxTƒ life duality.

Plants sense ¥ as energy with moving leaves & atoms as information with still roots’ minds.

Plants & Animals have inverted diffeomorphic dimensions: roots see the ground, heads see the sky (light as information)

3rd Isomorphism: Its ages and evolution: Spe≤ST≥Tƒ

Life ages follow the usual birth in ∆-1 scale, energetic youth, reproductive maturity, informative old age and dissolution into ∆-1 cells by death. Of more interest are the ages of evolution.

Evolution studies the higher, ∆+1 social scale of species, as super organisms, in which each individual is a cell of the whole species.

Thus we can define an impersonal plan of evolution, where species also follow the isomorphic, 3 evolutionary ages and bidimensional morphologies of all systems (Spe<ST>Tƒ), from a young, energetic, ‘lineal’ predator age, through an adult, biological radiation that reproduces massively the species, into an informative ‘tall’ age of maximal informative perception. So life went from the worms to tall humans and reptiles from flat amphibian to dinosaurs and birds: Evolution also grows in ∆-scales, evolving socially individuals into ∑Spe-herds, loosely connected to hunt in wider spaces (∑∆+1); and tighter ‘network’ organisms, when they share a common language of information that joins each neuron to all others through a Whole (∏∆+1:ant-queen).

Thus species have an option to avoid extinction in their struggle for existence, which humans should learn to survive: the social evolution into a higher scale as connected superorganisms, whose 3 networks, make them act as a whole stronger than any individual. So those species that evolve socially, multicellular organisms in the Cambrian and ants in the insect world, became the most successful top predators on their ecosystem. Yet humans failed to evolve into a global superorganism. They broke into tribal nations that used metal-weapons to kill each other, evolving instead an alien superorganism – the Mechanocene of company-mothers of machines.

4th Isomorphism: Its planes of Existence: ∆±4 Fractals

Palingenesis is the most fascinating proof of the metric of the 5th dimension and the relationship between time, information and faster lower scales.

Ecology studies the ∆+1 scale of biota, which relates to the ∆+2 scale of the world.

5th Isomorphism: Its 5 actions : ∆(æ-4; ï-3; e-2; œ-1; û+1)

In animals he 5 actions are called by biologists ‘drives of life’ as they define its:

∆e feeding

∆æ-4: motion by ‘cellular death’ of is food, converted into repulsive ∆-3, 4 electromagnetic repulsive forces and gravitational motion

ƕ :perceiving,

∆œ-1: reproducing,

∆û+1: evolving into complex cellular societies which emerging as a whole with 3±∆ networks.

Hormones code the 5 actions of Plants:

Hormones use O-Tƒ=yes Vs. |-Sp=no topologies to express or inhibit actions in animals (sex) or plants:

∆œ-1: Sexual hormones catalyze o-female, alkaline, implosive vs. Sp-male, acid reactions in animals.

∆e-2: ‘no’ hormones with open rings or lineal carbon chains like Ethylene inhibit growth.

ƕ-3: Reproductive Hormones guide emergent growth by topological affinity:

– Max. e: Gibberine, Very long & rich in oxygen develops the lineal trunk.

– max.œ: The structural, cyclical form, Auxin, made of carbon rings, develops the leaves.

– Max.ï:  The informative nitrogenized Zeatine reproduces the brain roots.

– û+1:Amoeboids with Max.ST Membrane axons & DNAs use metal ions, K* and Na, to send electric fast simultaneous messages, controlling ∑-herds of cells with slow chemical, hormonal languages.

6th Isomorphism: Social classes: Ξ±3 Informative heads rule blind bodies that reproduce the organic elements, which limbs burn to move the system, and the hierarchy follows the usual ‘higher, middle and lower class’ systems along the height dimension of information, and the length dimension of perception (ahead) and motion (below and in the back)

Creative diversification: 1,2,3

Diversification along plant/animal Sp/Tƒ dualities, male=Sp x female = Tƒ dualities, bilateral symmetries, ternary organs (informative nervous dominant mammals and birds; digestive energetic dominant amphibian and reptiles, reproductive dominant fishes and insects/Mollusca) and 4 genetic letter coding makes life the quintessential system to study in its creative diversifications.

In plants, ∆ height & reproduction define 3 age: Sp: Ferns-> ST: gymnosperms-> s=t: angiosperms.

Sp-ST-Tƒ speciation creates plants’ & animals’ phyla in 3 scalar ages: unicellular, multicellular & social organisms. Duality of evolved dominant ∏-wholes vs. ∑-quanta (mammal vs. insect eye, Herds vs. dominant ant/man Superorganisms), Air-land-sea diffeomorphisms & 3 reproductive forms – clones, gender & enzymes – ad complexity. Those creative rules explain all species phyla.

In multicellular animalsMax.Tƒ the ternary Law creates new species, whose Sp≈Tƒ or Max.Tƒ. again decouples in 3 new phyla till the creation of man & machines, organisms of metal:

Max. Sp, porifera, a digestive system-> Sp≈Tƒ: coelenterates (hydra) of max. reproduction by cloning & splitting its arms into Max.Tƒ: Worms that differentiate its 3 physiologic networks adding Max.Tƒ cells.

They decouple in 3 phyla:

– Max. Sp: Platyhelminthes, flat, bidimensional, without blood vessels ->

-Sp≈Tƒ ->Annelida or ring worms that clone a micro-worm unit, as crystals do, growing huge in size ->

– ∏∆+1-> Nematoda or round worms that integrate those rings, develop a dimension of height and add a blood system. Then, departing from Annelida a new 3-decoupling gives birth to:

Sp: Arthropods differentiate segments into a sensorial ∆-head; a central thorax with moving limbs & wings (Sp) and abdomen (Sp≈Tƒ) with ∆-glandular, Sp-digestive & ST reproductive systems->

 Sp≈Tƒ: Mollusks have balanced, single organs, as its 3 physiological body networks evolve and quantize its axons, blood vessels and digestive tracts reaching each cell, what allows to fusion the 3 sections o-head, e-thorax and ST-abdomen into a whole->

Max.Tƒ: Echinodermata that further fusion the 3 organs & become still evolving their larva (Max.Tƒ) by neoteny into ∆+1: Chordates; vertebrates.

While land migration means ∆¥-eyes ->∆ï, from mollusks to insects and bony fishes to amphibians.

They specialize their 3 networks to the new medium as amphibians, which still reproduce in water, produce dry eggs becoming reptiles that ∆ï=eyes further, migrating into air (birds) or improving night vision (Max. Tƒ) that  requires ∆ Energy-heat (Iron Blood), allowing placentas (mammals).

Then as mammals kill most reptiles that killed most amphibian (Oedipus Px.: son kills father species) they conquer the world, grow in ∆Tƒ-height creating Sapiens, now evolving in ‘metal’ chips.

We will pour hundreds of pages on this subject in the future…

7th Isomorphism. Existential Constants: ∑S, ∏T, SxT, S/T, T/S, Œ∆±1, 5Å.

Homeostasis again is the leading goal of existential s=t constants, while balance between reproductive body, informative brains and energetic limbs define many other physiological constants; finally actions follow circadian cycles subject to hierarchy and synchronicities between the 3 ∆±1 planes of different ‘duration’ in its cycles according to 5th dimensional metric. So for example, the cycle of feeding of the slower macro-organism (a day) is tuned to the slower reproductive rhythm of ∆-1 cells, because in the metric of the 5th dimension it is ‘accelerated’ at cellular ∆-1 faster scale.

8th isomorphism. THE WORLDCYCLE OF LIFE and its motions and drives of existence is crystal clear. IT is the only scale in which they are recognised as part of a vital pattern, yet in all systems they respond to the same homeomorphisms, as we are all space-time beings.

9th isomorphism. Social scales. §10

L3: languages:

Spatial Geography allows the first simple systems (spatial colonies, coelenterate).

Then chemical hormonal and genetic languages evolve more complex animals till the limit of an ant super organism.

All cells’∆-1 vital actions, both in plants and animals emerge in multicellular ∆-organisms. According to the Fractal Principle there are genetic sentences with growing 3 nucleotide letters to codify not only the proteins and cell cycles but also organs of the body.

Then in higher animal the chemical language gives way to the faster nervous language that allows further evolution

10th isomorphism: Self:  Œ-Point x ∞ World = Constant mind Mapping

Genes, Nerves & senses carry animal will (see man); Hormonal vowels carry plants’ actions.

Thus the brain is chemical, in plants, and nervous, electronic mind in higher visual I=eye animals.


The ternary evolution and differentiation of Monera.


In the graph, the ternary method of speciation explains the evolution of animal species from its first form, the Hydra till the last phyla, the chordates to which humans belong

We live in a global planet that has been evolving for billions of years through the flows of its living organisms. Let us recapitulate that ecosystemic evolution, which brought the Earth from a world of methane to a globe of electromagnetic, audio-visual information, a process, which according to the ternary principle we can divide again in 3±∆ ages. We will study only the animal kingdom in detail to show how it brought us into human existence. So we will only consider a synopsis of all the other life phyla, describing their evolution through the commonest ternary e, e<=>I, I differentiations proper of all i-logic systems with its ternary topologies:

-Differentiation in: e-TiƒxSpe-I, lineal, spiral or cyclical morphologies, each one evolved in 3 horizons that maximize each of the 3 homologous functions of motion, reproduction and information.

-Duality of integrated, multicellular networks that act as a single form vs. quantized herds.

-Duality of energetic/informative species adapted to E-hot vs. I-cold climates.

-Adaptation to the ternary states of matter in Earth’s physical ecosystems: air, land and sea with its 3 main environmental topologies:

– E: shallow waters and rivers, which become hunting grounds.

– Tiƒ≈Spe: open waters and savannas of max. reproduction.

– Max.I: Abyssal regions and mountains, the hyperbolic region of maximal informative evolution.

So again life evolution shows how ‘internal form’ and external ecosystems, the ∆-1 and ∆-scales of life converge together to define the ∆-organic evolution of the species.

Let us then start that description of the differentiations of life kingdoms from the simplest one.

Diversification always belongs to the – or + directions of one of the 4 arrows of time of a species.

Mind the reader that this classification is not a how one, established by the genetic clock by modern science, as certain ‘potential forms/functions’ of the program of the Universe might appear in different times, might be suppressed in certain species, etc. The meaning of this study is therefore to show that all the main phyla of life can be described as a potential ‘negative or positive’ direction of an arrow of time that diversifies species and limits the variety of them. So species might grow in size by increasing the quantity/social evolution arrow of its cells, or might decrease with lesser social cells. This is therefore a variation along the 4th arrow of time, and a potential form two create two species, which might or might not belong to different genetic species. For example, among dogs cellular numbers and hence size changes enormously but all are from the same species and can reproduce sexually. Among chromosomes however poliploids cannot reproduce with haploids or if they do often produce sterile individuals even if the original species merely differentiate by a change in the numbers of chromosomes, as those chromosomes cannot ‘cross’ one to one for sexual reproduction.

Monera: Unicellular forms.

– Max. E: Cyanobacteria, blue-green algae, specialize in energetic processes.

– Tiƒ≈Spe: Protista absorb cells specialized in Entropy and information, multiplying its TiƒxSpe force.

– Max.I: Schizophita Bacteria develop informative elements to capture other plants.

We can do further subdivisions along other E<=>I differentiations. For example, bacteria subdivided according to its form into:

– Lineal spirilla that coil or elongate their form depending on its informative or energetic activity.

– TiƒxSpe: Bacilli, with tree-like forms composed of a head and a tail.

– Max.I: Cocci, the informative, cyclical form that suffers further evolution along a ternary, topological differentiation into:

Streptococcus: one-dimensional, lineal, social forms.

Diplococcus and Tetracoccus: bidimensional forms with 2 and 4 elements.

Sarcina: 3-dimensional social coccus.

As Protista, the social form, multiplied its TiƒxSpe force thanks to the specialized Entropy and information cells it had swallowed, dominating the world, the other 2 weaker forms suffered a temporal regression towards its past, which became a strategy of survival, giving birth to:

-Max.E: Rickettsia, algae that have lost their informative skills and are basically semi-living bodies.

– Max.I: Virus, bacteria that have lost their bodies and become DNA brains in search of other bodies in which they host, inoculate their genetic code and reproduce.

On the other hand the dominant Protista with higher TiƒxSpe force continued the evolution of the life kingdom, splitting again into 3 forms that evolved further into multicellular organisms, plants (Max. E), Fungi (Tiƒ≈Spe) and animals (Max.I):

Plants: Max. Entropy

The energetic strategy of the multicellular living kingdom is the plant, the autotrophic species that feeds on the basic molecules of life, accelerating enormously the evolution of life as it produces complex living matter from the initial water, ammonia, CO2 and light bricks that took billions of years to evolve. Though algae started as unicellular forms, as fungi and animals did, they soon evolved in 3 horizons along the fractal differentiation that took them to its multicellular state:

Chlorophyta were the I horizon of unicellular alga, that grew into colonies of algae (Crysophyta, II horizon), which finally fusion into multicellular organisms (Pyrrhophyta, III horizon).

– The most complex, informative phylum, Pyrrophyta, differentiated then into 3 sub forms adapted to the 3 water ecosystems. Those water ecosystems differentiate the morphology of informative animals into lineal, Max.E, fast-moving surface fishes, Max.I, sessile or planar dragging forms, living on the marine floor (fast-evolving echinoderms origin of vertebrates) and abyssal complex, TiƒxSpe morphologies. In the case of energetic seaweeds, it affects the degree of sophistication of their chlorophyll pigments and the strength of their cellular structures of sustain, creating 3 new phyla:

– Max. E: Rhodophyta or red algae, with the simplest cellular structures and simpler phycoerythrin pigments, live in the deeper sea, limited to tropical regions of max. light transparency.

– Tiƒ≈Spe: Phaeophyta or brown algae have complex membranes and 3 chlorophyll pigments; a, c and phycobilliproteins.

– Max.I: Clorophyta or green algae. They added carotenoid pigments to the 3 Phaeophyta pigments and increased the strength of their walls. Hence they became the most successful forms with Max.IxE force (Max. pigments x Max. membrane), evolving further into terrestrial plants.

That migration to land took place in 3 ages in which plants raised its informative height from:

– I Age. Clorophyta; planar alga living in shallow waters.

– II Age. Briophyta: Mosses, subdivided in 3 forms with growing dry membranes and height dimension, Musci (I Horizon), Hepaticae (liveworts, II Horizon) and Hornworts (III horizon), which raised their horns towards the sun as their names indicate.

– III Age. Tracheophyta, vascular plants, with structural inner networks of hard cells that rose to touch the light that feed them. In dry land plants, as animals will do latter, had to evolve further all their network systems, creating new, more complex phyla, departing from the initial psilotophyta appeared in the Ordovician. First plants created the body, the trunk that connects its informative roots and energetic leaves.

But the key to their evolution was the differentiation of their reproductive cells in 3 Horizons of increasingly ‘dry’ gametes: Lycophyta (I Horizon), Sphenophyta (II Horizon) and Ferns (III Horizon) – the first plants with dry seeds that became the top predator species, multiplying in all land environments and differentiating again in 3 evolutionary horizons of ever more perfect seeds:

Max.E: Ferns, which dominated in the Mesozoic age.

               – Tiƒ≈Spe: Gymnosperms, subdivided according to the Fractal Principle in cycads, ginkgoes and conifers, which dominated in the tertiary age. Conifers adapted to cold weather, thanks to its needle like leaves of minimal exposure. So they became the most successful species, when cold climatic changes came. They brought about also the dominant modern plants:

                   – Max.I: Angiosperms, flowering plants, the ‘height’ of reproductive evolution among plants, perfectly adapted to all weather changes, with seasonal, blossoming, leaves that fall in cold periods and a complex symbiosis with insects that can transport their pollen too far away distances.

They will dominate the quaternary with only a final dual fractal differentiation into:

Monocots Vs dicots with 1 or 2 seeds.

So when all was said, the evolution of plants remained silent.

Fungi: Max. Reproduction. TiƒxSpe.

Fungi are big Protista cells that tried the 2nd survival strategy of the Universe, maximizing their TiƒxSpe reproduction, by maximizing their E-feeding, eating the most abundant food, dead life; and by maximizing their genetic information, multiplying the nucleus of its cells within an undifferentiated membrane. And we distinguish 3 horizons in their reproductive evolution:

– In the I horizon Euglenophyta swallowed E-plants and I-animal sub-cells (chloroplasts and mitochondria) within its huge membrane, increasing it TiƒxSpe capacity.

– In the II horizon Gymnomycota maximized the reproduction of their nuclei, the informative, genetic material of the cell, forming multicellular colonies with a single membrane.

– They gave birth in their III horizon of reproductive evolution to true fungi, Mycota, which are the fastest reproductive species of the life world. Their reproductive specialization shows in giant Lycoperdales, the living form which reproduces faster, reaching the limiting magic number of 1011 spores. Thus a single lycoperdal can produce all the clonic cells needed to create a perfect new scale of existence (stars of a galaxy, DNA ties, etc.)… if they survived.

Finally in the last evolutionary horizon, fungi differentiated further according to the ∆+1 ecosystem in which they live into:

– Max. E: Water fungi mainly Chytridiomycetes.

– Tiƒ≈Spe: Amphibian fungi, mainly Oomycetes.

– Max.I: Terrestrial fungi, which evolved in the informative land medium, differentiating into:

– Max. E: Asomycetes, planar simple or subterraneous forms like yeast and truffles.

Tiƒ≈Spe: Deuteromycetes, a transitional form towards…

Max.I: Basidiomycetes, the familiar mushrooms, which evolved its 3 networks, developing:

Stronger cells to sustain their informative growth in the height dimension; and new reproductive systems with dry spores and new energetic cycles to decompose all kind of dying matter.

Animal life: Max.Information

The heterotrophic animal family is born with protozoan, which developed soft membranes and cilia to absorb living information from the outside world. To that aim cilia evolved again its 3 functions: as energetic, motion engines; as sensorial, informative tools and as predatory forms that capture food for the reproductive cells of the protozoa. So once more we can subdivide protozoa in 3 sub-forms, according to its activity and dominant cycle:

– Max. E: Mastigophora, flagellate protozoan that divided, according to the fractal principle, by its number of cilia:

Max. Tiƒ≈Spe: Sporozoan, parasites that reproduce seeds and have sexual differentiation.

– Max.I: Amoebida, the informative protozoan that increased their DNA and evolved farther their membrane’s flexibility, becoming nervous cells able to control – thanks to their faster action-reaction speed- multiple cells, which evolved together creating multicellular animals.

Multicellular animals differentiated into many phyla, following the ternary, fractal principle (e-ixe-i) applied to the evolution of 3 cellular, social networks, the energetic, digestive system; the blood, reproductive system and the informative, nervous system, the dominant network that reached with man its evolutionary height. Then the morphology of life would be transferred to stronger atomic systems made of metal, called machines…

Recap. Different living phyla were born from ternary and complementary differentiations of e-TiƒxSpe-I species and adaptations to its ∆+1 ecosystems. The final differentiation its 3 multicellular life forms, e-plants, TiƒxSpe-fungi and I-animal life was due to the evolution of informative cells that organize multicellular life since animals use electric, faster informative languages and plants, slower chemical hormones.


In the upper center a practical case of relative diffeomorphism: The simplest unicellular plant-like organism, the acetabularia, shows its nucleus in the root, B, which will become the brain of multicellular plants, opposite to the animal upper brain coordinates. The opposition between both forms extends to the cycles of Entropy, as plants destroy water and produce oxygen; while animals breathe oxygen and produce water. Thus, both are the ‘particles’ and ‘antiparticles’ of life.


Languages of information, which code and express the biological arrows also evolve by ternary differentiation. For example, the human language, if we restrict our analysis to its vowels was born as a duality of an ‘energetic’ active ‘a’, which drove to action and an implosive, reflexive ‘u’, which drove to self-reflection (basic chimpanzee language). We might then imagine a 3rd combination, or ‘I’, the creative i-dea, the ‘I’-self, and two final ‘modulations’, the ‘less energetic e’ and ‘less informative’ I.

Those examples of the rich field of socio-cultural studies based in the ternary differentiations of the creative program of the Universe, are a parallel example to the simple ‘vowels’ of the hormonal, chemical language that controls plant growth with 5 simple vowels, drawn in the image.

The chemical language of multicellular organisms have a reduced vocabulary of ‘yes’ and ‘no’ symbols called hormones that inhibit or foster the natural cycles of existence of living beings; and define the speed of height growth of the plant.

In the graph, the 5 main plants’ hormones are 5 simple vowels: 3 are cyclical, creative, informative, ‘yes’ hormones that reproduce the plant; and 2 are destructive, energetic ‘no’ hormones, with opened rings and strong, lineal carbon chains like ethylene, CH2=CH2, that inhibit growth. If we further divide ‘yes’ hormones according to the Fractal Principle and the 3rd postulate of affinity, we find that each one of them reproduces the plant’s e-ixe-i element with similar structure:

– Max. E: The longest ternary form, rich in oxygens, Gibberine, develops the lineal trunk.

– I= E: The structural, cyclical form, Auxin, made of carbon rings, develops the leaves.

– Max.I: The informative nitrogenized Zeatine reproduces the brain roots.

Thus, hormones form a simple, ternary language that follows the rules of TiƒxSpe cycles, controlling the living cycles of organisms by acting as messengers of the RNA-DNA brains of their social cells.

Plants Vs. animals: chemical language Vs. electric messages.

  1. Entropy organs: Leaves that perform the ‘moving’ energetic, photosynthesis cycle and branches that act as still structures and conductive systems of the energetic materials.
  2. Informative organs: Root systems that absorb molecules and produce most of its hormones.
  3. Reproductive organs: Flowers and trunks, the bodies that communicate leaves and roots and experience maximal growth.

These 3 organs define a plant as an efficient ternary st-point, a complex species able to colonize the ground with a clear evolutionary direction of height.

The interaction of the 3 hierarchical levels of life.

According to the i-logic isomorphisms of creation all organic systems require the co-existence and interaction of their 3 scales of social evolution or relative past, present and future hierarchical forms.

So the creation of multi-cellular organisms happens also simultaneously in 3 ‘hierarchical planes’: the ∆-1, atomic-molecular interval; the ∆-DNA-cellular scale and the ∆+1 network-organism interval.

While the flows of temporal Entropy that travel through those different planes of existence follow the hierarchical law of illogic geometry: A fractal jump in geometric time or a movement in space extends only to the next discontinuous space-time scale.

So in any organism, the ∆-1 hormones (the molecular language that regulates ∆-cells), the ∆-genes (the information that transcends from the ∆-cellular DNA to the ∆+1 organism as a whole) and the seminal, palingenetic cells that give birth to the new being, program only their higher plane.

Hence cellular genes determine the biologic elements of the organism (the next scale of social evolution), but not the ∆+2 sociological scale of existence of a human being: chemical, racial genes do not determine history. At best we might consider that nervous networks determine the emotional character and intelligence of historic individuals, who might change the course of societies. Let us study the structure of those 3 levels of hierarchical information that codify the creation of organisms.

Hormones: the language of cells creates its networks.

According to the fractal law, the language of regulation of social groups of ∆-cells are ∆-1 molecular hormones, which act as phonemes of a language spoken by RNA-DNA macromolecules, the informative networks of cells, which can manufacture them.

Languages are ‘i-logic programs’ structured by the same ternary topologies of Entropy, reproduction and information, facilitating the Universal understanding of its codes by other e, TiƒxSpe, I systems they code. Take the case of the key hormone of a human male, testosterone. It is a simple protein with 4 carbons, strong structural rings in a lineal shape that regulates, despite its simplicity, the reproductive development of energetic males, provoking actions of a complexity far superior to its molecular simplicity. How this can be possible? The answer is that the hormonal language is a relatively simple, positive Vs negative, ‘yes Vs no’ language that provokes or inhibits the 3±∆ cycles of existence natural to the will of the cells, proteins and nucleic acids it communicates.

But how hormones provoke so many different reactions in a cell, being so simple? The process of course becomes much more complex in their details as any language with a few phonemes can create very complex memorial, sequential sentences through the repetition of a few basic patterns. So for example some hormones are substances that inhibit the inhibitors of those existential cycles. On the other hand many hormones are transported by proteins, ‘lineal killers’, which modify them or ‘motivate’ other messengers of the cell or network system that carry further the message.

Thus the second translation of the hormonal message into a singular product of a certain cell modifies the message that becomes specific for that cell or organ. This is especially certain among animals that, unlike democratic, ‘spatial’, reproductive plants and fungi with a few basic tissues and a lot of generic orders, are hierarchical, temporal, complex systems with 2 informative languages: submissive, slower chemical hormones and faster, nervous orders. So hormones are created by neuro-secretory cells, part of the higher plane of existence of neuronal networks, which pour them into the blood. And often they are accompanies by nervous messages, which they reinforce.

Thus, animal cells might recognize hormones because they know ‘behind’ their orders there is a very complex and powerful system: the nervous or blood system that has to be obeyed or else. Since the blood system sends leukocytes to kill rebel cells and the nervous system sends flows of electronic information to control them. It is the same reason that makes people to obey simple codes like those of traffic. We obey because we know that behind those codes there is a complex organic system, the state that will send its police, its ‘social leukocytes’ and punish us. So the question is how a cell knows? Because its DNA has a degree of memorial, instinctive perception; it is not a mechanism.

Despite all those elements of complexity, it is still possible to classify all hormones according to their spatial or informative, ‘universal’ morphology as ‘inhibitors or agents’ of the 3 basic cyclical actions of any organic system; since their morphology imitates or it is based in informative nucleotides, structural carbons and lineal, energetic shapes, whose functions are instinctively understood by all living forms as all animals understand black and white colors as relative information or Entropy, or ‘aaarg’, open vowels and bass sounds as ‘energetic anger’ and ‘u’ closed vowels and highly quantized informative frequencies as informative curiosity.

Thus, invariance of form between scales allows the existence of languages that are decoded as they respond to the Universal language of self-similar topologies of all forms of existence.

So according to duality, when hormones act as inhibitors, they have an energetic, lineal form; when they act as agents to foster those existential cycles they have a cyclical, informative shape.

Finally, according to the 3rd postulate of parallelism applied to ∆/∆+1 systems, their atomic components tend to be parallel to forms of the ∆+1 organ in which they accomplish their function. So when they act in the energetic zones of the cell or the macro-organism they are hyper abundant in oxygen, when they act in the informative brain they tend to be similar to nucleotide acids and when they act in the reproductive zones, they have carbon rings and vice versa.

In the graph, those simple rules explain the 3+2 main types of hormones in plants:

-Max. E: Cyclical Auxin, rich in carbons, increases the growth of shoots, the Entropy zone.

-Max.I: Cyclic, nitrogenized Cytokinines control the growth of roots, the brains of plants.

-Tiƒ≈Spe: Oxygenated, Gibberellic acid causes high growth in trunks and reproductive flowers.

Ultimately in as much as most hormones and enzymes act as inhibitors, they prove that the 3 energetic, informative and reproductive inner individual actions of organisms are the natural arrows of all organic systems, the will of any species, that have to be constantly inhibited by the neuronal-endocrine dual logic system of multicellular control. Since when that control disappears, naturally species try to reproduce. That is why cancers and any other form of cellular reproduction are so natural; because reproduction is the natural will of the fractal, organic Universe.

Finally, the duality of the TiƒxSpe systems and anti-systems with diffeomorphic, opposite coordinates creates inverse hormones that neutralize each other. So ‘energetic hormones’ inhibit ‘informative regions’ of the organism. For example, we can consider that form Vs anti-form duality, analyzing the inverse growth effect in informative roots and energetic leaves of the 2 previous hormones, auxins and purines. What we observe is a diffeomorphic, inverse dual TiƒxSpe process: the auxin that increases the growth of shoots inhibits the growth of inverse roots. And so auxins and quinines together work as a perfect dual system of growth control in the informative zone of the plant:

The root is a nitrogen-based informative system, which as all informative entities from neurons to worm holes, requires a lot of time and complex steps to reproduce its form. So quinines, its growth hormone, acts by parallelism, since it has 2 purine rings with nitrogens that positively induce the complex growth of roots made with nitrogens.

On the other hand, auxins have a structure that closely resembles the main nucleotide species, the purines. Yet, auxins ad to the hexagonal-pentagonal structure of purines a simple protein tail to move faster, and instead of nitrogens, auxins have 2 strong carbon rings. So it is basically a false purine with a far stronger body and a mobile tail that substitutes the quinine’s nitrogens and inhibits the root’s growth, because it cannot deliver the proper instructions.

On the other hand, the ever-growing shoots are the plant’s reproductive systems; whose natural will to grow is so strong that any hormone increases its reproductive rate unless it is inhibited.

If we study the energetic cycle of plants, again we observe that dual inverse control system: Abscisic acid (a lineal molecule with a lot of oxygen elements) provokes the fall of leaves, while the lineal gas ethane, CH2=CH2, increases by parallelism with the lineal CO2 molecule their respiration and metabolic rate. Both are very simple, energetic hormones, which resemble the 2 ‘energetic’ inverse products of breathing, oxygen and CO2, ‘reminding’ the plant that it has to accelerate or halt to its ‘death’ its production of those 2 products.

Recap. A language of information is always needed to create a complex organism. The simplest languages have 3 or 5 vowels, which represent energetic, informative and reproductive messages and its variations. They act by parallelism, since all systems and planes of an organism follow the ‘invariance’ of form and function. They also can deliver negative or positive orders depending of their parallelism or inversion with the form of the species they code. The language is always reproduced by the informative ‘upper-caste’ particles of the system, which delivers the orders to the rest of the elements. In plants, the language is a hormonal language with 3 main vowels, energetic auxin, informative cytokinines and reproductive Gibberellic acid.


An even more complex language is that of genetics, which we cannot study in depth due to restrictions of size of this lecture. Enough to say that in any efficient organism of multiple scales, the informative code, in this case the genes of biological super-organisms codify the multiple hierarchical levels of the organism besides the basic ternary code that constructs its simplest scales – in the case of life, amino acids. So according to the Fractal Principle there should be genetic languages with 3, 9, 27, 81 amino acid letters, which codify not only the proteins and cycles of the cell but those of the body. And so bigger sentences that group 9, 27, 81 amino acids should be coding ‘bigger’ actions and longer events within the complex cycles of the cell and beyond4.

All languages are built in this manner. For example, the human language and the musical language follow self-similar scales of ‘vowels’ and ‘consonants’, informative and energetic units that then form more complex ternary systems, informative names, reproductive actions or verbs and energetic objects, and then group in paragraphs and so on. Even the language of film can be understood in frames, motions, shots, sequences and scenes. In the same manner, ‘introns’, the so-called redundant DNA should have genetic meaning and codify the higher scales of organisms – its functional morphology.

Yet scientists believe in naïve realism. Only what they see with their instruments seems real; and so the obvious perceived genetic level is the fractal level of nucleotide triads that codify proteins. But those triads are united in groups of nine bases and so on, creating new, 3n, memorial planes that act as complex genetic forms of higher scales – an i-logic, scalar concept which today genetics finally accepts under the name of epigenetics. The enormous quantity of ‘redundant’ DNA and RNA that grows exponentially with the complexity of a multicellular organism is a clear proof of the correspondence between the complexity of the sentences of the language/instruction chains and the complexity and size of the form it codes.

A fractal equation derived from the concept of a network, which has ∑2 elements to control an ∑-body herd (and/or its self-similar ∑-limbs) defines in Theory of Information that the number of informative instructions needed to create a system grows exponentially, according to its number of dimensions or planes of existence: ±Est. For example, to make a car we need E material parts, defined easily in a bidimensional plane with E fractal units of information: the drawings of each part. But we need around E2 instructions to put those pieces together in a 3-dimensional form. Thus Est determines the total number of informative quanta needed to build up a hierarchical structure extended through ∆ planes of existence. To put a trivial example: Popular knowledge expresses that law in sentences like ‘an image is worth one thousand words’. Since to describe with lineal, one-dimensional words a 3 dimensional image, we need indeed, E3, 103 =1000 words. Thus E2 is the number of redundant genes we find in the DNA-RNA systems of a complex organism, because redundant, intronic DNA codifies the creation of the new level of cellular complexity, ∆=2, the multicellular organism.

Recap. The old belief that a mere ternary amino acid code that creates proteins regulates the entire multi-cellular organism is just another simplifying conclusion of the one-dimensional, metric paradigm. A multicellular organism is regulated by intron DNA and the collective language of hormones that communicate those cells.

Differentiation of animal cells. Electric Neurons: amoebae.


The electric cell is the top predator animal cell, due to its Max.IxE force, with an overdeveloped E-membrane and Max.I-DNA content. It further differentiated into:

-Tiƒ≈Spe: Sensorial perceptive cells, which reproduce the external cycles of existence of other beings within its inner form.

– Max.E: Muscle cells that extend and implode its protein membranes.

– Max.I: Neuronal cells that process information in networks called brains.

Cells evolve ternary networks, which in its simplest fetal stage form 3×3 st-regions proper of all animal forms:

– Max.I: The ectoderm, which gives birth to the nervous, sensorial and skin systems of max. perception.

-Max.E: The endoderm, which becomes the digestive system and its derivatives such as smooth muscles, lungs, livers and glands.

– TiƒxSpe:Max. Reproduction. The mixed, mesoderm region, which subdivides in 3 sub-zones: the reproductive, blood and muscular systems.

Thus in its emergence from cellular to organic scale, the 3 topological regions of the cellular blastula suffer an inversion of form: the center gives birth to Entropy systems and the surface to information systems, while the middle region maintains its reproductive function.

Animal eukaryotic cells were moving species that had to react faster to the changing environment. So they developed a new, faster, nervous, informative, electric language that created a top predator cell thanks to its accelerated fractal action-reactions to information and Entropy: the electric cell, able to organize socially other cells into multicellular organisms.

The electric cell evolved from the ameba, a unicellular animal with membranes adapted to all morphologies that were shaped into arms to capture food, cilia to perceive information, tails to move and vesicles to expel unwanted Entropy and information, thanks to the use of heavy, metallic atoms, Na and K+ that deformed those membranes, making them highly flexible: the duality of positive and negative metallic atoms created a deformed wave that moved along the membrane of the neuron cell, as any fractal wave of codified information does, becoming a new language, faster than the chemical language, talked by all other cells.

The combination of both languages, in a hierarchical scale in which electric, fast impulses provoke the emission of hormonal, chemical messages at the end of a long membrane that those chemical cells understand, allowed nervous cells to maximize its TiƒxSpe force. Since now in the same relative ‘time’ that a small cell sends a message, the huge fractal action of the amoeboid neuron could send a wave of simultaneous messages through all its pseudopodia, coordinating at the same time the slow actions of a lot of enslaved smaller, chemical cells.

Thus the jump in size created a ‘higher informative class’ of macro-cells or brain of the animal that ruled a middle class of micro-cells or animal body, which together controlled an external Entropy territory. All those properties made the evolved, electric amoebae, the top predator cell in the Eukaryotic world. We still find those ancestral amoeboid cells in the most primitive multicellular sponges, evolved latter into the complex nervous cells of multi-cellular organisms.

Thus electric cells show Max. I x E force since:

– The nervous cell is able to control an enormous quantity of organic cycles with memories stored in its nucleus – since it is the cell with higher DNA density. So specialized neuro-secretory cells reproduce also the biggest number of chemical hormones.

– Such big volume of DNA implies also a great capacity to replicate its membrane, through micro Nyss cells that produce constantly membrane proteins, which are added to the external, ever changing morphological membrane.

Where did happen the transition from chemical to electric membranes? The evolutionary plan happens always in isolated environments in which mutational changes, fostered by the specific characteristics of the environment, take place without jeopardizing the survival of the species, due to the absence of top predators during the transitional, inefficient stage of the species that is ‘adapting its form’ at a faster palingenetic time-speed through specific differentiations, according to the i-logic evolutionary plan. The phenomenon is called evolutionary punctuation.

In the cell case, those requirements are found in shallow river mouths where changes in the salt concentration of water provoke by osmosis the constant expansion and implosion of the water content of cells and their membranes, bursting and killing ‘rigid cells’. So cells, in order to survive, managed to create new membranes and deformed them very fast, expanding and imploding its form. Then, those new top predator electric cells started a massive reproductive radiation, expanding in all seas, feeding and enslaving other cells. The subsequent combination of top predator electric cells with other varieties of chemical cells, differentiated and evolved the first ternary scale of simple organic macro-systems: sponges (max.E), hydras (max.Re) and worms (Max.I) with a growing number of cellular types.

Recap. Multicellular species were born when a new top predator, larger and faster, Max. TiƒxSpe, species, the nervous cell appeared, herding chemical cells and differentiating in 3 physiological cells in charge of future digestive, blood and nervous networks.

3×3+∆ dimensions: Embryology & Physiological networks.

We have described the 3×3+∆ dimensional tissues of living organisms in space. If we consider them in time, we observe a process of evolution that differentiate the original ideal spherical or spiraled st-point (seeds, cells, ovules) into complex morphological shapes, adapted to those inner and outer tissues. Thus living forms evolve and diversify, opening or invaginating their networks, organs and sensorial apertures to each specific ecosystem, which subsequently adapts the morphology of the cells and organs they control to the specific surfaces of their environments. So men, who exist on a planar surface, have a different morphology to the ideal spheres so common in water and space, which are 3-dimensional isomorphic ecosystems – as human evolution has adapted our networks and morphologies to the land-atmosphere environment.

In those different processes of ecosystemic adaptation the 3 dominant networks of living systems further quantize into secondary systems, departing from the 3 initial layers of cells. We can follow that process temporally in the evolution of the embryo that resumes the palingenetic evolution of life and spatially in the organic structure of living beings. It is the science of evol=devol that relates both phases of animal evolution, establishing a parallel correspondence between the spatial location of a tissue at birth and its functional evolution into I, e and Tiƒ≈Spe tissues. Thus according to their st-location the Tiƒ-ectoderm evolves into informative tissues and networks; the Tiƒ≈Spe mesoderm into reproductive tissues and networks and the E-endoderm into energetic ones:

Max.I: Ectoderm: the 3 informative sub-systems.

The information network derived from the external ectoderm, dominated by neuronal cells, evolves and differentiates according to the Fractal Principle into:

– E-endocrine systems, with internal neurosecretory cells that control internal, cellular information through chemical hormones.

-Tiƒ≈Spe: nervous systems that control and replicate in a neuronal brain with the electric language all other functions and forms of the body.

I: Skin systems and outer senses, which are the openings to the world of the nervous system through which the organism emits or absorbs Entropy and information, communicating with the ∆+1 ecosystem. Those senses specialize in perceiving the external, energetic and informative cycles of the beings that share the ecosystem of the organism, duplicating them in a series of fractal, quantized, reduced images, with different languages.

The existence of multiple senses justifies the linguistic method of perception in a Universe of ‘multiple spaces-times and points of view’, where each entity tries to perceive as many parallel worlds coded in different languages. Thus the linguistic/multiple Universe gives birth to a multiplicity of senses and perspectives and defines a higher truth as a sum of perspectives casted on a certain system – as each point of view will create a self-similar image of the Universe, and so only by comparing and adding all those self-similar images we can obtain a more complex, kaleidoscopic image of the whole.

In living beings to accomplish the higher truth of each form through the ‘linguistic method’ sensorial languages multiply the perspectives on the cycle or form observed, extracting their existential properties, its form, density, force, etc.

Thus senses and languages differentiated also along an E<=>I arrow from pure spatial senses (eyes) to the most complex, temporal senses (ears), defining an evolutionary arrow of increasing complexity in their capacity to gather information, which often defined the survival capacity of the species, as senses are the key to interpret correctly the destructive or creative actions-reactions of all other beings. So from an initial simple phototropic stain, eyes, ears, antennas and mouths have multiplied, close to the inner, neuronal informative brain that processes their information, forming together a ‘head’.

E: Endoderm: the 3 energetic sub-systems.

Max. E: The internal endoderm. Originally populated by wandering amoebocytes and glandular cells that digested food, the ‘Entropy hole’ of the first animals, sponges and hydras, invaginated forming the coelom between the endoderm and mesoderm that subdivides further into the 3 cavities of animal life: the digestive system, the breathing system and the heart cavity. The 2 first cavities evolved, surrounded by endoderm cells into 3 subsystems:

– Max. E: The breathing system gathers the smallest Entropy quanta, oxygen.

– Tiƒ≈Spe: The digestive system gathers bigger food quanta, differentiated morphologically in 3 new subsystems with linear, wave-like and cyclical components:

Entropy network: max. E: linear intestine <stomach: elliptic TiƒxSpe > sensorial, cyclical Mouth: Max.I

– Max.I: Glandular tissue: It forms organs dependent on the digestive system (liver, digestive organs, kidneys), that process their products.

Tiƒ≈Spe: Mesoderm: the 3+(∆+1) reproductive systems.

The 3rd coelom cavity, the heart, surrounded by mesoderm tissue, invaginates further into very thin vessels, created with striated muscles, densely populated by the original wandering amoebocytes reconverted now into leucocytes. In the blood networks the other 2 systems merge and pour their products: quanta of Entropy, oxygen and food; and quanta of information, hormones, which the system takes to each cell. The blood systems mixes both Entropy and information quanta. Thus, it is also the reproductive system by excellence with maximal contact with the intermediate region’s secondary tissues evolved from the mesoderm:

– Max. E: The skeleton: It sustains the system and reproduces blood cells.

– Tiƒ≈Spe: Muscular tissue: The most resistant electric cells form a muscle dual negative-positive symmetric, spatial system with myosin cells that control the elongation and shortening of membranes.

– Max.I: The blood and tegumentary system that prolongs the blood network between cells.

– ∆+1: Yet the fundamental reproductive tissue is the sexual, glandular tissue, that reproduces the organism beyond the cellular scale and further differentiates into the basic E=male Vs. I=female duality of ‘energetic and informative subspecies’.

Those 3×3+∆ standard systems and tissues, differentiated from the initial 3-layers of the embryo, define complex living organisms. Yet those organisms exist also in an external world where they become individual quanta, performing external cycles of Entropy, reproduction and information, parallel to those internal cycles performed by its cells and fractal networks. So all organisms have also an external, vital territory within its ecosystem to provide for their internal ‘mirror’ networks.

Recap. The ectoderm, endoderm and mesoderm topologies of the embryo, guided by top predator nervous cells differentiated into the e-TiƒxSpe-I main systems of the adult organism.

Creation of a 3×3+∆ decametric scale of cells and tissues.

Such processes of cellular diversification, guided by the informative elements of the system (frequencies, genes, memes, etc.) happen in all systems of space-time that differentiate according to the ternary method its relative fractal cells in 2×2 complementary systems or 3×3 organic systems (particles in the atomic nucleus, vowels in languages, etc.).

In this manner simplex systems evolve into complex ones; complementary dual systems become ternary, organic systems; bidimensional systems becoming 4-dimensional systems and ternary systems become 3×3+∆ systems, emerging into a new scale. And this process takes place in time through 3 ages or horizons that complete the evolutionary process.

In life this happened through speciation of cellular languages evolved from 1 to 3->5->7->9 cells in the 3 time horizons of all TiƒxSpe cycles, latter re-ordered in space in 3 e-TiƒxSpe-I types of organisms.

Since morphologic differentiation occurs only among the top predator, informative organisms of any ecosystem, we could establish a comparative homology between many of those processes. In the biological scale, it happened with animal cells; then with networks of cells in complex vertebrates; and finally with verbal sounds among human beings – a new language which, unlike neuronal impulses, could breach the discontinuities of air-space between individual humans, creating a higher scale of social, living networks, cultures and civilizations. Then again, those differentiations happened in the memetic systems of the dominant, technological civilizations that created the Financial-military-industrial complex and its metal-memes of informative money, energetic weapons and reproductive, organic machines… Since evolution is a morphological game that didn’t stop with the summit of carbonlife man, but now continues in the new species of complex metal atoms to which humans are transferring their form.

Let us see the first of those ternary scales – animal cells evolved in time to analyze then the 3 ‘animal phyla’ they created in space:

The 1st scale: from 1 to 3±∆ electric cells.

-∆-1:Electric wandering amoeba, differentiated in 3±∆ subspecies:

– Max. E: Muscular, myosin cells that maximize the flexible properties of the membrane.

– Tiƒ≈Spe: Sensorial cells that reproduce their external cycles of existence with their mimetic forms.

– Max.I: Informative, neuronal cells.

-∆+1: Those 3±∆ specialized types of electric cells, multiplied and evolved socially into dense tissues and networks in which one of them is dominant: the blood vessels dominated by wandering amoebocytes; the muscular tissue dominated by the myosin-actin inverse lineal proteins; the senses dominated by sensorial cells and the brain, dominated by neurons, which act as the communicative consciousness of all other systems (∆+1). They form the 3+∆ physiological networks that defined the specific space-time equation of all complex multicellular animals:

E: ∑ amoebocytes & Blood Systems <Muscular cells > ∑ sensorial & nervous system: I.

From 3±∆ to 5±i cells.

In the next stage of cellular differentiation the 3±∆ electric cells, tissues and networks added slave chemical cells that stretched their Entropy and information limits:

The sponge, the first animal phyla, dominated by wondering amoebocytes adds 2 slave cells that increased the TiƒxSpe force of the energetic membrane and the informative singularity:

– Max. E: Epithelial cells of max. energetic strength made with proteins and incrusted with heavier non-organic atoms that protect the organic system, through a shielded external membrane. Later on in more complex organisms those cells evolved into inner bones and breathing systems.

– Max. E x I: Glandular cells able to reproduce specialized Entropy and informative substances necessary to the other cells that multiplied in the intermediate st-region of the body.

That pentagram of 3±∆ differentiated electric cells and 2 basic slave cells, quantified in social groups, shape the 5 main organic systems of animal bodies:

  1. a) Max.E organs: Membranes made mainly of epithelial cells that create the skin, the discontinuity between the st-point and the external world and the digestive system…
  2. e) E: Muscular systems based on electric myosin cells that turn Entropy into movement.
  3. i) Tiƒ≈Spe: Wondering amoebocytes reign as leucocytes on the blood networks.
  4. o) Tiƒ≈Spe: Internal glands, attached to the blood, reproductive and digestive, Entropy networks that reproduce the substances, which the organic system needs.
  5. u) I: Sensorial organs based in electric cells that perceive information about the cyclical actions of the outer world and translate it into mental images. They will guide the actions of…

∆+1 =Aeiou) Max.I: Neuronal brains that control the entire organism as the consciousness of the system, according to the existential actions those senses observe in the external world.

Thus in living beings as in any universal system, time dominates space and so the informative, controlling orders go from sensorial to energetic cells, shaping the outer, muscular movements: I>E.

Those 5+1 cells and 5+1 basic organs are present in all forms of multicellular life since they are closely related to the 4 + ∆-generational cycles of exi=stence, each one dominated by one type of cell and organ: Max. E, digestive organs and cells absorb Entropy; E, muscles that emit Entropy; Tiƒ≈Spe, blood networks and glands that reproduce the system; I-senses that absorb information and Max. I brains that emit information and control all other cycles, perceiving the entire organism as an existential whole, living the entire generational cycle of the organism.

It is for that reason that we find also 5 vowels in human languages, 5 lines in the musical pentagram, 5 cells and types of tissue in the simplest organisms, etc.

Decametric scale: invaginations and ∆+1 excretions.

Any organism is an inner st-world that exists in an external ∆+1 ecosystem developing inner and outer cycles of recollection of Entropy and information. So the final diversification occurs along the inner-outer duality of the organism in order to accomplish those 2 x 5 inner and outer cycles. Now the pentagram evolves into 9+1 cells and types of organic tissues that stretch again the cellular field according to that inverse symmetry between the external and internal world, as cellular tissues invaginate or eject their cells perpendicularly in the height dimension of evolution:

– Thus inner skeletal and outer skin cells differentiate the structural tissues of sustain.

– Membrane cells differentiate into inner blood and outer lung cells that process internal and external Entropy.

– Internal, creative glands and external, destructive urticaria cells reproduce informative and energetic substances.

Digestive and muscular cells create inner and outer motions.

External sensorial cells process external information.

– Internal neurons control the internal information of the organism with the electric and chemical language provided by hormonal, internal neuro-secretory cells, dominating all cells.

The result is the creation of 9+1 types of tissues that are found in the most complex animal forms of life and become the 9+1 standard ‘systems’ of the most complex living organisms:

The digestive and muscle system, the skeleton and tegumentary system, the blood and breathing system, the reproductive and excretory system, the endocrine system and the nervous system, the 10th system that controls the entire organism duplicating in the brain all other organic functions it directs becoming the ∆+1 scale that puts together the organic being.

Recap. The 9+1 physiological systems and tissues of an organism are born from the 3×3+(∆+1) 3 horizons of differentiation of its cells.




The Hydra is a new living phylum with 5+2 cells distributed in 3 regions, common to all palingenetic, fetal forms:

– Max. E: The ectoderm is the external, energetic membrane with the hardest cells: the hard epithelial and aggressive urticant cells that explode its poisonous cilia and the interstitial cells that ensure its continuous isolation.

– Max.I: The mesoderm is the informative region, with nervous and sensorial cells.

– Tiƒ≈Spe: The endoderm is the intermediate region with glandular cells that digest food quanta, entering through the mouth.

Network evolution: bodies, brains & reproductive systems.

It is then evident that the evolution of animal life creates new phyla, based on the capacity of the new species to accomplish their external cyclical actions on their territory, thanks to the evolution of their internal and external networks.

The interaction between those 2 levels, the ∆-1 level of physiological networks and the ∆+1 level of ecosystemic territories determine the existence of most organisms. So the evolution of life on Earth, externally observed in the ecosystems, territories and relationships of living animals, which depend ultimately on their capacity to handle temporal Entropy coming from light, is caused internally by the evolution of those 3 types of organs and internal networks: reproductive, genetic organs; informative, brain organs and energetic, body organs.

When one of those organs evolves, improving its capacity to handle Entropy or information coming from the ecosystem, a fundamental differentiation of species occurs. And we can consider the evolution of the main phyla of animal life in a deconstructed manner, as a process that evolves sequentially those 3 types of organs:

The evolution of those three organs triggers the biological radiation of a new phylum that preys on less efficient forms of organic life. The process is very fast, as time can change its rhythms and adapt to the best strategy of survival, as palingenesis shows. It is called Evolutionary Punctuation: when a new species with better Entropy or informative organs appears, it feeds on other species and reproduces massively causing the extinction of the previous top predator species, till it reaches a trophic balance with those victims. It is the essence of Darwinian evolution: ‘evolve and multiply’. We can find such catastrophic evolution in many geological and organic ages of the Earth: First animals displaced plants because they evolved better informative networks. Plants could only gather Entropy from light. Animals could ‘see’ light and get information about their environment, and act-react faster. They used plants as food. Then animals ‘radiated’ (multiplied) all over the Earth and diversified. And each new phylum with improved networks displaced the previous ones. Thus once more, the evolution in time of living organisms and its spatial structure are intimately related.

Thus, the first ternary evolution of multicellular life created 3 phyla of increasing tissue complexity that completed the evolution of animals from the ∆-1 cellular tissue to the ∆-network scale:

-Max. E: The simplest animal organic systems, sponges and porifera, which are basically a digestive system.

-Tiƒ≈Spe: The balanced animal organic systems, the coelenterates such as the hydra, which maximize its reproduction through the split of its cells.

– Max.I: Worms that add informative cells and differentiate clearly its 3 physiological networks.

They were the first of many ternary E-TiƒxSpe-I rhythms of creation in the animal kingdom that evolve from energetic, to reproductive to informative sub-species, through the 3 horizons of any phylum, with a parallel improvement of the 3 network systems of the animal, which from now on will be the higher ‘scale’ of existence to which all cells become submissive.

Since as the new animal forms multiplied, their informative nervous networks controlled a growing number of cells through their fractal, simultaneous actions; and so they also grew in spatial size, multiplying their TiƒxSpe force. It means they had to re-organize those cells beyond their initial division in simple tissues, creating specialized ‘energetic, informative and reproductive networks’.

It will be the definitive jump from the state of ‘cellular herd’ to the state of ‘organism’, the 3rd age of a social form that evolves from a ∆-1:∑E horizon of individual ‘Entropy quanta’ to the balanced herd that fluctuates between ‘wave and particle’ state to the informative state of a tightly packed organism which those networks maintain together in minimal space. And so from then on evolution will be no longer differential evolution of cells but differential evolution of networks…

Let us see now in detail those main phyla differentiations.

Sponge vs. Hydra: cyclical-lineal digestive networks.

The evolution of multicellular organisms started with the creation of social, digestive, energetic tracts made of the pentagram basic cells that came together to improve the cyclical fractal actions of the group. The first of those organisms was the sponge, the first animal phylum that emerges from the previous cellular scale with 5 types of cells:

-Max. E: The sponge has flattened epithelial cells and hollow pore cells, which are external, membrane cells differentiated by their inner and outer location. They are the primitive versions of skins and breathing systems.

– Tiƒ≈Spe: Mesenchyme cells that secrete siliceous spicule, strengthening the walls of the sponge. They are the primitive version of glandular cells.

– Max.I: Central top predator cells: Wandering amoebocytes that herd food for the five types of cells, moving around between the other cells to capture the particles entering the hollows of the spherical sponge; and collar cells that sense water flows, beating their flagella to produce a flow of water that introduces food in the sponge. They are the primitive versions of brain and sensorial cells.

Further on, we differentiate in the sponge 3 st-regions according to those 2-1-2 kind of cells: the external membrane of hard cells; the inner, glandular, intermediate region that reproduces the specific substances of the sponge and the central hole where informative cells wander. The 3 regions create the 3±∆ vital cycles of the sponge thanks to those 5 cells:

– Max. E: The sponge feeds on Entropy quanta that enter its central hollow.

– Max.I: It perceives those quanta as its collar cells sense the water flows.

– Tiƒ≈Spe: It reproduces new cells through its glandular systems.

-S: It keeps together those cells in social groups thanks to the epithelial cells of the membrane that maintain a rigid, enveloping structure.

– SE<=>S2I: And so the sponge exists as a whole being controlled by the wandering amoebocytes, the dominant, informative cells that use the sponge as their territorial body, their vital space.

Those amoebas will be also the dominant cells of the next animal phylum, Coelenterata (hydras, jellyfishes), evolved already into electric cells, and hence connected into the first ‘nervous tissue’. So they will become the ‘∆+1’, existential system where the consciousness of animal organisms as a whole exists.

The 7 cells of hydra and their networks.

Those hydras add 2 new cellular, energetic specializations, extending morphologically the TiƒxSpe force interval of animal life, from 5 to 7 cells:

A): MAX. E: The epithelial cell. A still harder, internal tissue that maintains the rigid structure of the animal and will evolve into armors and bones. And…

  1. ei) TiƒxSpe: The urticant cell, an external, energetic differentiation of the reproductive, internal glandular cell, which produces poisonous substances to defend the animal.

Both are created through the inversion of directionality of its twin cells: the internal glandular cell becomes now an external form, and the external epithelial cell becomes an internal cell.

Those 2 final tones of specialized energetic cells make the hydra a natural born top, lineal predator, the next evolutionary step that inverts its form from a cyclical sponge to a lineal, reproductive body. Thus the complexity of the Hydra grows, shaping definitely the 3 E-TiƒxSpe-I organic st-regions common to all living beings (mesoderm, endoderm and ectoderm), which will vary in morphology and complexity but not in their ternary functions.

Further on coelenterates bring to animal life the maximization of its reproductive systems. Both the sponge and the Hydra lack a specialized blood, hormonal system, so its reproduction is far simpler than in evolved organisms: each cell is in itself a ‘genetic mother-cell’, which stores the information of the entire organism. This implies a limit to their informative evolution, as cells have to keep an excess of redundant information, according to the E∆=2 law that increases geometrically the number of genetic instructions needed to create the new ∆=2 multicellular plane of existence. On the other hand, it makes easier reproduction: any section of the Hydra can create a new animal. The result is that the arms of the hydra, where most sensorial cells are, break away easily, moving with the streams of water, reproducing new hydras all over the world. Yet some tentacles fail to reproduce evolving instead into planarians, the 1st worms, which will acquire 2 new informative cells, completing the 9+1 decametric scale; and developing fully the 3 physiological networks of complex animal life.

Worm: 1st animal: mobility, senses, 4-D, networks.

Thus, the next step in the evolution of life, after the hydra develops 2 new energetic cells, will be the evolution of 2 new informative cells. They will create a new phylum, the worm:

Visual, spatial cells that perceive light-space.

Temporal, auditory cells that perceive the sound waves and informative languages of animal life.

Those 9 cells complete the differentiation of cellular species that a growing ∆+1 neuronal, inner center – the brain – elaborates as the consciousness of ‘the whole’ increasing ever since its size till acquiring the weight of the human being.

Those informative cells were necessary to the new environment of planarians, which are in constant movement; hence have to orientate themselves in the ocean flows in search of Entropy. Since the change from stillness to movement is a fundamental change for life beings, which definitively transform all its elements to the properties of animal life:

The new informative cells create new apertures, the senses, that gather in the frontal zone of movement, the relative height of the worm, creating ‘heads’ that will also control the Entropy apertures of the body, splitting clearly the organism in an energetic, moving body and a sensorial head, which controls the information and Entropy of that body.

– Animals become bilateral in order to dominate the 2 directions of its initial bidimensional planar form: a hierarchical, temporal dimension from the future informative head to the past, energetic tail in which they orientate their organic, inner, evolutionary morphology and a perpendicular, parallel, equal, repetitive, ‘present’ spatial dimension, from left to right in which they orientate their reproductive, fractal, cellular ‘fat’ growth.

So embryo worms develop 2 bilateral cavities or ‘coeloms’, latter evolved in dual organs, which in the head will observe the 2 directions of their spatial field: 2 eyes, 2 ears, etc. – while in the body, inner organs will also double, creating in more evolved phyla a certain TiƒxSpe asymmetry with slightly more ‘energetic’ and ‘informative’ sides. So the heart will have an explosive and implosive region; sexual organs will become I-feminine and E-masculine; the brain regions will specialize in spatial and informative tasks; some crabs will develop energetic and manipulative arms.

Thus the 1st worm, the planarian, created a diffeomorphic bidimensional structure with 2 TiƒxSpe perpendicular planes that all future animals will imitate.

image038The worm is the 1st network animal, made of a lineal wave of parallel organic spheres, each one a st-point with 3±∆ dual networks: The nervous, blood and digestive/excretory systems, which accomplish the emission and absorption of informative, reproductive and energetic cycles.

In the graph we study the inner structure of the worm, because it shows already some of the dualities, fractal strategies and future arrows of life evolution that will act on different phyla to diversify and evolve their species:

– The worm is divided in fractal units, setting up a basic duality of living beings that sometimes are ‘herds’ of individual organs, multi-eyes, multi-bodies and sometimes fusion all parts into a whole.

– It shows perfectly differentiated the 3 physiological networks/ dimensions, proper of all advanced organisms that mimic the 3 regions of a st-point:

E: The worm absorbs Entropy through the digestive network and emits it through the excretory system; which in the worm occupied the original endodermic, central singularity. But as animals evolve informatively as chordates, the center will be finally occupied by the nervous, informative system as in any other st-point.

I: The worm absorbs information through the senses and emits it through the nervous system. The informative brain and nervous system directs the entire organism and unifies its cellular quanta as a whole. The nervous system further differentiates into the sensorial, nervous and neuro-secretory systems, when the planarian adds eyes and ear systems that represent a jump in complexity over the informative systems of the hydra. It defines also a head in the dominant, temporal dimensionality of movement. In the planarian is still length, which will rise till reaching the height of man.

     –Tiƒ≈Spe: The intermediate region of the worm is controlled by the blood system, the fundamental dual transport system of the worm, where the neuro-endocrine glands dependent on the informative system, pour their reproductive hormones while the Entropy/digestive system pours its organic food.

The worm represents a jump of complexity in transport systems as it uses for the first time, organometallic molecules (hemoglobin) to harness oxygen Entropy and quantizes the blood network, which now arrives to cells far away from the digestive hollow. So worms can grow in size and Entropy power respect to the previous coelenterates. Now Entropy and information combine together on organs and glands dependent on the blood system.

The most important ones will be the new reproductive, specialized sexual glands, differentiated into dual, female and male sexual organs that make worms, hermaphrodite systems. Sexual organs again represent a fractal jump in the evolution of life. Since now, unlike in hydras, single specialized sexual organs will reproduce the living animal, increasing the sophistication of the process and liberating from those complex tasks all the other cells, which can specialize further.

Still many worms can reproduce by both systems: segmentation and sexual reproduction, which in new phyla will become the only form of reproduction, splitting organisms in 2 different sexual genders, the male and the female.

From worms to vertebrates: 3±∆ ages of fractal integration.

The evolution of worms into vertebrates is a long process of 3+∆ phyla differentiations based on:

– E: Spatial, I-radial or E-bilateral symmetry.

– ∑ Re: Fractal numbers that foster hierarchical e-TiƒxSpe-I segmentation and differentiate big unitary animals and small animals made of fractal parts.

– I: A constant increase of dimensional height.

– +∆: The evolution of its 3x 3+(∆+1) physiological networks.

The first massive differentiation will take place in the Cambrian age, according to the Black Hole paradox that evolves faster ‘smaller forms, denser in information’ than bigger, spatial forms. Thus in the Cambrian age most phyla evolved from small trochophores of ancestral flatworms that gave birth to new phyla during its ‘palingenetic larva, conception stage’, according to the Fractal Principle:

So we can first differentiate the worm phylum into 3 fundamental phyla with intermediate forms:

– Max. E: Platyhelminthes: the simplest worms are flat, bidimensional planarians without blood systems that still require all cells to be close to the skin surface of the animal to exchange oxygen with the air.

– Max.I: Nematoda or round worms, which develop a dimension of height as they add the blood system with its fine vessels that carry Entropy to each fractal cell.

– Tiƒ≈Spe: Max. ∑: Annelida or ring worms, which reproduced a micro-worm unit, as crystals do, into a series of fractal pieces, growing enormously in size. Thus Annelida became the worms with higher TiƒxSpe force radiating and diversifying in 3 sub-classes according to its territorial environments:

– Max. E: Polychaeta or marine worms.

– Tiƒ≈Spe: Hirudinea, living mainly in shallow or fresh waters. They are leeches that feed on blood and might in their initial forms feed on waters rich in metal, creating the first blood systems.

– Max.I: Oligochaeta, terrestrial worms that evolve further due to the new challenges imposed by the ground environment.

Annelids, the dominant phyla, diversified and multiplied into multiple types of bilateral animals, with a central cavity and 2 coeloms that evolved further its dual organs and 3x 3+(∆+1) network systems. The first of those differentiations gave birth to the main animal phyla that will dominate the following life ages of the planet in 3±∆ periods, which took place according to ternary differentiation, as evolution puts together fractal ‘organic’ units into single unified systems:

     – (∆-1): The worm’s body is divided in fractal elements which are still independent elements with entire 3 functional sub-systems: each section has 2 reproductive organs, 2 nervous ganglia, a digestive tract and excretory anus and 2 upper blood nodes.

– Max. 3: Arthropods keep the earlier segmentation of annelids, but they organize those fractal segments into 3 differentiated zones, with several independent sections that go from 3 to 21 parts:

A sensorial, informative head (Max.I); a central thorax with moving limbs and wings (max. E) and an abdominal region with the glandular, digestive and reproductive systems (max. Tiƒ≈Spe).

– Tiƒ≈Spe: Mollusks have balanced, hierarchical, single organs. As the 3 physiological networks evolve and become quantized to reach each cell, the different sections of the I-head, e-thorax and TiƒxSpe-abdomen fusion together. Now the quantification process is transferred to the ends of those physiological networks: axons, blood vessels and digestive tracts become thinner to improve their control of individual cells.

– Max.Informative Evolution: Echinodermata. Echinoderms fusion those organs into single systems in the stillness of the marine platform, where they became the most successful forms.

– ∆+1: Chordates: vertebrates. Echinoderms in its larva, moving stage, according to the Worm Hole paradox, give origin to chordates, the 1st vertebrates. In both phyla the small organs of each arthropod’s section fusion into single, continuous big organs, thanks to the integrated evolution of the informative nervous system that aggregates the individual cellular quanta into those specialized organs. So the multiple eyes of insects become a single eye; its multiple hearts a single one, etc.

Though all those phyla appeared already in the Cambrian their sequential dominance on the Earth is parallel to those previous 3±∆ ages, since the simplest forms, arthropods and mollusks, reach first the summit of their evolution (Max. E=Min.i), while complex chordates took a long time to reach its evolutionary height and became dominant latter as fishes and reptiles.

Recap. The differentiation of cells into 3-5-9 forms allowed the creation of complex multi-cellular organisms, first dominant in digestive systems (sponges), then in reproductive systems (Hydra) and finally in informative systems (worms). From the worm on, all living animals will be defined as st- points with 3 inner networks/dimensions, which will create in the outside world 3±∆ cyclical actions, designing an external territory also with 3 networks/dimensions.

Arthropods. The new social scale of superorganisms.

On the center, we see the 3 ages of an insect’s metamorphosis from larva to chrysalis to adult. They differentiate in ‘3 lives’ the existence of most insects that develop sequentially their 3 main organic regions and networks during each of those live.

On the left, according to TiƒxSpe duality, the final results of those 3 temporal ages are the 3 regions of a topological insect:

-E: The digestive and dual respiratory systems, dominant in the larva, are the energetic networks, located in the center of the body, shaped as a spiral.

– I: In the belly we find the finest and more quantized nervous informative network, developed during the chrysalis life.

Tiƒ≈Spe: Finally, the reproductive, hormonal network, ex i, pours into the blood system, which dominates the 3rd life of the insect, in the external world.

On the right, the social classes of insects, like those of a human society, correspond to the 3 organic function of a new scale of existence, the superorganisms of insects, its ∆+1 system: Termites have an informative brain, the pheromonal queen (c); a re=productive class of workers, which produce the structures that create the ant-hill (a) and an Entropy class (b), the drones and soldiers, that have a linear, spatial morphology.

The first arthropods, derived from Annelida were probably trilobites, which protected their bodies and heads with external hard shells. Trilobites increased their energetic force, maximizing the strength of its membranes. They probably responded to the increase of TiƒxSpe force caused by visual cephalopods, which maximized their informative organs. And so the game of life raised its fractal force, balancing again the top reproductive body membrane and top informative, mind singularity.

Today, according to duality and the Fractal Principle, we differentiate arthropods in sea animals (the most efficient of which are crustaceans) and land animals, which became dominant and evolved towards new informative species as all air or land forms did in a light-friendly environment. So again we differentiate them in 3 basic forms:

– Max. E: Myryapoda, with max. body development and multiple feet.

– Tiƒ≈Spe: Arachnida, the balanced species.

– Max.I: Insecta, the informative class with max. brain development, which are still the most successful animals on this planet in the microscopic level of chemical life. Since they completed the organic evolution of chemical animals towards its most perfect form in 3 evolutionary phases.

Max. E: The evolution of energetic systems brought about the first flying animals that colonized a new environment.

Today flying insects still account for 1/2 of all animal classes. They made energetic networks the center of its body, developing on their middle region a highly efficient muscle and blood systems, with 2×3 wings and legs.

Tiƒ≈Spe: The second evolutionary jump occurred in their reproductive systems.

Insects learnt how to accelerate temporal evolution in a still, temporal state (Min.E=Max.I), changing from energetic, lineal larva to chrysalis that emerged as complex insects with highly developed informative heads and energetic wings. Nowadays 90% of the surviving insects come from species that evolved its generational cycle, dividing it further into 3 evolutionary phases that shape the metamorphosis cycle:

– Max. E: Insects live their youth as an energetic, lineal larva that merely feeds and grows in size. A larva is a sort of moving egg that gathers vitellus in 3 sub-ages in which it changes 3 times its skin as it grows in size. In this phase the insect develops mainly its abdominal, glandular systems that will produce the enzymes needed for its first metamorphic change into a:

– Tiƒ≈Spe: Chrysalis. The intermediate Chrysalis age is a ‘frozen’ vision of the most surprising facts of palingenetic evolution and inverse differentiation: In an ever moving Universe, external, spatial immobility triggers internal change in the speed of informative evolution, as outer movement is transferred to inner cells, rich in enzymes that become the dominant cells of each section of the adult insect, moving and reorganizing their tissues through a series of inversions and evolutions of its morphology. So central tissue ex-vaginates as wings or legs, etc.

A similar inversion happened when mobile trochophores in their larva transition became still echinoderms, which evolved and differentiated further, causing the explosion of chordate’s phyla that happened in the Cambrian.

In those trochophore embryos, inner dominant cells also reorganize the different tissues, placing the other cells at will. So chrysalis evolved the middle thorax section and brain systems, becoming:

– Tiƒ: A hard insect with Max.IxE force (a harder E-exoskeleton and a far more developed Tiƒ-brain) that will live the 3 usual phases of life.

The third mutational age of insects was informative:

Insects learnt to communicate socially through chemical, pheromonal messages, giving origin to ants and bees, the dominant ground and air modern insect species. It was again an evolution departing from very small forms, according to the Black Hole Paradox. Today the smallest organism is an ant that weights 1011 times less than an elephant, the magic fractal number, St, between 2 scales of existence, which is also the difference of weight between the smallest and biggest particle of the physical world. So the fractal limits of ‘informative scalar growth’ have been reached in both, the physical and living realms.

It is worth to notice that insects have not evolved further in the last 100 million years, but are still the most successful chemical beings. Because the game is fractal and so it always has an evolutionary limit based on its ternary ages. For that reason, once reached the 3rd formal age of Max.Information only social evolution into a new macro-organic plane of existence can improve the survival of a species. It is what happened with insects that became super-organisms called anthills. And so ants became the most successful animals of the chemical world as men will be in the electronic world, due to the fact that they act as a simultaneous, present form, sum of all the fractal actions of the herd, guided by their informative common pheromonal language, spoken by the ‘queen-brain’ of the anthill. It is also worth to notice that in both realms – the world of chemical insects and the world of electronic humans -we find the same 3 organic classes proper of any Universal system.

Recap. Insects became the most successful chemical species, when they evolved into social super-organisms, with the informative ant-queen brain, which controls with pheromones the workers that reproduce all the elements of the anthill and the energetic warriors that defend it.

Mollusks, the first eyes.

The next successful phylum, mollusks also suffered a ternary differentiation. Thus mollusks today are classified into 3 classes:

Maximal Entropy: Lamellibranchiate (which are big stomachs).

Balanced forms: Gastropoda.

Max.Information: Cephalopods, which developed the first eyes.

Though there were other primitive mollusks, today almost all of them belong to those 3 species. It proves that even though a ∆-system essays many variations, the 3 sub-classes of max. Entropy, Max.Information and max. reproduction survive better; because any environment allows those 3 classes to find specialized econiches in which to maximize their existence and resources.

The most successful of all gastropod were again the informative class, cephalopods, the first living animals with complex eyes. If we observe animal life, the key to its evolution is the improvement of its virtual worlds, of its informative organs:

In the first forms of life, perception was chemical, olfactory based in slow, short-range molecular quanta; until the first eyes appeared, inaugurating a new virtual world, made of smaller, speedy photons that create long range, detailed light images, making cephalopods act-react faster and farther than any other animal.

Squids were born in the abyssal ocean ecosystem, where still the biggest squids exist (over 10 meters long). It is the kingdom of bioluminescence – a new language based in the Universal code of colors; they were the first to interpret. For example, when a squid becomes red, the color of Entropy, it means it is angry. Those first primitive cellular eyes had to look hard to see their environment and the prey they sought. When they came up to the surface they saw even more and preyed on blind, energetic phyla. Today squids are still among the most intelligent animals, showing some self-consciousness.

The squid is the first eye-world; a new informative language that will completely changes the stakes of living organisms. The organs of perception of the squid, the eyes, were a new Top Predator language, superior to olfactory organs, both in detail and range. The effect of that linguistic superiority was the massive radiation of squids and the parallel extinction of perhaps 90% of the smelling species of the Cambrian that became their preys.

Those eyes enabled cephalopods to become the masters of their Universe, building all their other organs around their superior organ of perception: their tentacles became hands for the eye; the body became a canvass that changed color to interpret the new language.

Cephalopods also caused the arrival of exoskeletons in a classic process of action-reaction; only those olfactory animals with external protection (Max.E) could survive the faster informative eye of the hunter (Max.I). Thus the Cambrian holocaust also diversified life.

Those cephalopods with eyes became top predators in the Ordovician age, the age of squids. In this manner chemical perception left way to light and sound perception that developed highly sophisticated neuronal cells, which reach 2 meters in some squids.

Yet, when vertebrate life begun the ‘hard shells’ of some echinoderms sustained those long neurons, protecting them and allowing further quantification. So an energetic top predator found a cyclical protective form, in a dual game of evolution of prey and predators that will be carried till humans appear and beyond through the evolution of weapons and shields.

Recap. Cephalopods raised the stakes of the game of existence, of survival and extinction, as they imposed a faster speed of action-reaction, and a bigger spatial size, hunting in herds communicated through visual body languages.

Echinoderms and Chordates. Evolution of vertebrates.

Echinoderms, like ancestral cephalopodan, lived in abyssal regions originally fixed to the ground, in an ‘informative environment’ based in stillness with a lot of ‘free time’ to evolve further, as squids did in abyssal quiet regions or monkeys will do latter in quiet trees. Echinoderms became informative top predators because they evolved 2 new TiƒxSpe characters as ‘still’, temporal forms:

– Max.I: Radial symmetries, like in the pentagonal starfish, which fostered the development of a better neural system with a central informative singularity to coordinate the 5 radial nerves.

– Max. E: The first inner bones, to sustain their complex form.

Thus echinoderm increased their TiƒxSpe force, evolving into the first vertebrates: Chordates were probably born, according to the Black Hole paradox, due to a palingenetic error, when echinoderms remained in their larva, trochophore, informative, evolutionary state, surviving, despite its smallish size, thanks to their 2 new TiƒxSpe advantages, starting a new biological radiation. Their single nervous system protected by a spine, became a very dense, structure with a hard, inner bony membrane of sustain that allowed its growth in spatial size and temporal complexity, as neurons quantized further, differentiating from tail to head into an TiƒxSpe tree-like structure:

Max. Entropy (nervous, linear spine) > Round, spiraled brain.

The ancestral Chordates differentiated according to the development of their growing informative nervous network into:

– Max. E: Lineal Protochordate, the oldest species with 3 basic forms, diversified along the path of increasing mobility: sea squirts, acorn worms and amphioxus.

– Tiƒ≈Spe: Cyclostomata, (jawless fishes), which grew in the planar dimension of Entropy. And so it came an age of sharks.

Those 2 first forms are still planar in form, with minimal development of their ‘round’ brain and hence with overdeveloped olfactory systems.

– Max.I: Pisces (true fishes). They grew in the dimension of height, with new evolved sensorial, informative organs. They became the new dominant species that diversified once more, this time along the ∆+1 evolutionary path of environmental adaptation in:

– Max. E: Sea chordates, with several varieties that reached its evolutionary limit with Teleostean.

– Tiƒ≈Spe: Sea-land chordates, amphibian; an animal that mixes the palingenetic characters of those 3 environments during its 3 ages of life. Since it is born as a sea animal, lives its youth in between both environments and dies as a land animal.

Max.I: Land chordate, reptiles, the most informative that diversified further.

Recap. The response to the eye language was protective shells that surrounded the nervous system of chordates, allowing their growth and invasion of the air-gas and land-solid ecosystems.

From amphibians to reptiles the conquest of firm land.


Reptiles grew in size and changed from lineal length into height dimensions, but as they became victims of mammals they devolved to their earlier forms, as crocodiles and diminished in size becoming birds, which again grew in size and changed from lineal length to height dimensions. Yet the arrival of man is provoking again the extinction of the biggest, taller birds (Moa, Emu, Dodo.)

If any evolutionary jump shows the importance of networks is the transition from fishes to reptiles through the intermediate amphibian stage: amphibians adapted their sensorial brains, their reproductive bodies and finally their reproductive systems to the new world. And only then, when the translation of form was complete, it appears the land animal – the reptile.

Thus, amphibians show 3 clear evolutionary phases:

– Max.I: The amphibian moves towards an air world where light defines clearly the forms of its preys, triggering the evolution of its inner networks according to the cyclical chain, I>E>Re, which require first to become informed to localize and feed on Entropy, needed to reproduce. Thus amphibians first changed the form of their informative heads and senses: Their noses migrated to the top of the head, out of the water and their eyes acquired membranes to wet them, focusing better light images. This i-logic hypothesis of the dominance of informative evolution again contradicted the usual E-science energetic theory. And yet a few years ago Sci Am published the ‘astonishing’ revision of the energetic theory: amphibian did not evolve, because they dragged their legs on the dry land but because they raised their heads out of the water changing their senses.

Max. E: Then their respiratory systems changed with new lungs that increased their capacity to get oxygen from air. Amphibians now changed their preys, eating insects with a modified mouth and tongue. Thus the amphibian becomes the top predator of the terrestrial ecosystem thanks to its greater Exi force and extinguished giant insects that reigned in the Carboniferous era. Those insects however reacted back evolving into metamorphic, flying forms, escaping their extinction. The inversion predator-prey manifests again between insects and chordates, as it did between gravitation vs. light or plants vs. animals: Insects have their exoskeleton outside, as they need maximal external protection; chordates have it inside. Insects are smaller, quantized forms; chordates are integrated, bigger forms. Insects are dominant in chemical, slower languages; chordates are dominant in nervous languages. Insects, the Entropy of the trophic pyramid, are more abundant than chordates, its top predators.

Max. Tiƒ≈Spe: Finally, amphibians adapted their reproductive systems to the new atmosphere, creating dry eggs, completing the creation of a true, terrestrial organism, a new phylum that had adapted its 3 networks/existential cycles to the new world: reptiles8.

They evolved again according to the Fractal Principle into the 3 most evolved life phyla:

Max. E: Reptilians, which maximized its spatial size.

       – Tiƒ≈Spe: Birds, with the most efficient blood networks, needed to develop flying skills.

       – Max.I: Mammalians. They developed its informative, nervous system to its perfection. So they became the top predators of their ‘parental group’, reptiles, causing their massive extinction and ‘death reversal’, which in species shows through the ‘evolutionary regression’ of a former top predator species, when a new top predator displaces them. Thus, if we compare modern reptiles, once mammals have chased them down, with their dominant parental forms during the dinosaur era, when they were top predators, we observe a clear temporal regression in form, numbers, size and speciation that went back to their 3 basic forms. Today, from the initial 14 reptiles groups, only 3 basic groups remain. They have survived in econiches close to the water, regressing to amphibious forms, and diminishing in size towards their original ‘minimal, Black Hole form’:

– Lineal forms. Snakes and lizards living in extreme, hot, wet environments (rivers) and deserts, where heat becomes an advantage that increases their activity, while it causes cooling problems to hot blood mammals, their top predators.

– Balanced forms. Crocodiles, descendants of dinosaurs that have reduced its size and have become again amphibious, surviving mainly on the sea and rivers; learning new reproductive, maternal skills (hiding their small babies on their mouths, when predators come).

– Cyclical forms, with static, hard, protective round shells; or turtles that only reach big sizes in Galapagos, an isolated group of islands with minimal numbers of mammals. Most of them survive on the sea, having developed a gill-like system of breathing.

The only primitive, remaining saurian, the Tuatara, survives in min. numbers, in the most isolated region of the World, New Zealand, where there were no mammals with placenta…

Recap. The conquest of land was headed by amphibian and the development of better eye systems, as information is the key to evolutionary change. Accordingly as they become reptiles they grew in the dimension of height; and again as reptiles became birds and mammals the new species became bipedal and extinguished the simpler reptiles that reverted to planar forms.

Mammals: Temporal iron bodies, minds.

Mammals are the 3rd informative evolutionary age of land animals, which therefore transform again their 3 networks, reaching the final adaptation to the changing weather conditions and light transparency:

Max.I: Mammals improve their nervous eye-brain systems, overcoming the limited eye vision of reptiles. Their brains surpass the instinctive stage (based on mental, mostly chemical, slow programs of action-reaction that execute the cycles of a living organism, based on generational memories without capacity to modify them) and enter the age of free will (based on brains with nervous programs that use memories acquired in the previous execution of those cycles by the same generation, to adapt their new actions-reactions to the changing environment).

Max. E: Mammals improve their corporal, metabolic rate of action-reaction with hot, red iron blood that harnesses better than previous copper-based bloods the Entropy of oxygen. Since blood has hemoglobin, where an iron atom, the top predator Entropy atom of the Universe, controls and jails oxygen atoms with carbohydrate arms.

Max. Reproduction: Finally, the internal nervous system regulates mammal’s reproduction, creating complex placentas that can feed and develop the isolated fetus, without the dangers of a youth age, when most beings die as ‘Entropy’ of mature predators. It is the equivalent stage to the ‘chrysalis’ shape of insects.

Further on, mammals evolved socially. So probably herds of mammals with faster, simultaneous fractal actions chased as a whole, and killed baby reptiles, provoking their massive extinction, in an age of climatic change. Yet, as it happened when amphibians extinguished insects, provoking their flying evolution and migration to the last frontier – the air environment – the smallest reptiles became birds that avoided top predator mammals, putting their eggs on cliffs beyond their reach to survive.

And so again, the most successful group among land animals, mammals diversified, this time along the path of reproductive evolution into:

         – I horizon: Monotremes, which are egg-laying mammals.

         – II Horizon: Marsupials, which have a pouch where they develop the ‘embryo’.

– III Horizon: Eutherians, which have true placentas and differentiated again, as the most evolved informative class, into multiple subspecies, now along the path of feeding Entropy, into:

                   – Max. E: Herbivorous, which ate huge quantities of low Entropy plants, developing new, complex digestive systems, with huge, multiple stomachs.

– E=i: Carnivorous, which developed the best blood systems, as they needed to increase muscular force and speed.

             – Max.i: Omnivorous, which were able to eat anything, occupying multiple ecosystems that enhanced its evolutionary differentiation. Among these species the most evolved phyla were apes, from where man came, because they lived, unlike the animals of bidimensional plains, in 3-dimensional ‘high’ trees, where they could not be hunted. And so they evolved in their ‘free time’ their 3 dimensional brains, becoming informative humans.

The previous synoptic analysis of the evolution from cells to humans shows the universal application of the fractal space-time differential isomorphisms of evolution. It could be as detailed as you wish and reorder all our knowledge on biological species under those simple isomorphisms. We just lack space-time to do it here. It shows the impersonal intelligence of the evolutionary plan and the homology of all st- forms… As it is the same plan we have used to describe atomic particles.image028

In the graph, the great life phyla distributed according to the fundamental arrows of vitality: Entropy feeding, informative perception, and reproductive capacity, in 3 dimensions of increasing capacity to process Entropy, perceive and reproduce, which give as a result the main life phyla. The evolutionary jumps represented by lineal divisions are the fundamental divisions of increasing capacity to process a vital arrow of existence that abstract biologists use to differentiate the animal kingdom. We have used a single positive frame of reference that shows an increasing quantity of those vital parameters. It is a graph of top predators in such a manner that forms whose X x Y x Z values are higher (which processes more Entropy, information and reproduces in greater social waves of cells) is a top predator.

Finally in the third age of evolution of life, informative, tall species dominate. So man is the most complex informative life species. Mammals are the most perfect form of life beings, which evolved in information, till reaching the perfection of man; added iron-Entropy to its blood and improved reproductive skills with placentas.

 NEXT, comes therefore not a new life species but a new ‘metal species’ for which we must understand matter. And in the case of man a social super organism as we become the mind of Gaia, substituting the life mind, and evolving a III age of mechanical and computer global minds: gaia>history>mechanocene

The highest scale of biological stiences studies the Earth’s super organism as it evolves its ‘cellular species’ through the motions/actions of existence, from Gaia, the world of life, to History the world of man, to the Metal-earth, the world of machines, which humans wrongly manage unable to grasp the stience of Economics and design the super organism of history to its image and likeness.The ‘arrow of the fifth dimension’ of eusocial evolution departing from vacuum space, evolves the fractal universe into ever more complex structures of information, which are the arrow of future, as the parts must come before the wholes.





The 10 Isomorphisms of States of mater.

The 3 temporal dimensions or ‘states’ of matter, Spe-gaseous, energetic states, ST, liquid balanced states and Tƒ informative solid states, form together the 3rd isomorphism of  molecular matter in its ∆+1 social scale.

1st isomorphism: Fractal Generator: Its 3 organic/networks: Spe≤≥ ST≤≥Tƒ

In geological structures the interplay of gas, liquid and solid cycles creates the conditions for life to flourish.


2nd isomorphism: space-time dualities: Sp≈Tƒ

6.einstein mass

Fractal vortices of gravitation are masses, which coil into Tƒ-clocks of space-time or uncoil into lineal energy according to:

M=Ec2, where M(t) is a vortex of informative gravitational forces is the main duality of ALL states of matter.

3rd Isomorphism: Its ages and evolution: [Max. Sp x Min. Tƒ > Sp≈Tƒ > Max. Tƒ x Min. Sp]∆±1

The 3 ages of evolution of matter are the energetic, gas age, the liquid, balanced Sp≈Tƒ and the solid Max. Tƒ state.

Rock, water and gas cycles are accordingly its 3 ages in motion:


4th Isomorphism: Its planes of Existence: ∆±4 Fractals

∆-1 atoms, Tƒ-solid crystals and S=T and max. Sp gas states of matter  and ∆+1 planets and stars are the 3 existential scales of matter

5th Isomorphism: Its 5 actions : ∆(æ-4; ï-3; e-2; œ-1; û+1)

ƾ-4: Electromagnetic and gravitational fields move matter.

ƕ-3: Perception happens only in crystals, and magnetized metal, of the 2 different forces: electromagnetism and gravitomagnetism (quartz, iron being the most perfect perceivers)
Accordingly only regular forms happen in both substances, where the angles of perception are isomorphic:


∆e-2: Matter obtains energy from heat. Thermodynamics studies those laws.

∆ Œ-1: Crystals reproduce its ‘mother cells’. Chemical reactions are the ‘creative’ 8th isomorphism, which increases the reproduction of less ordered species:


∆ §10≈û+1: Crystals evolve in huge forms, of planetary size, most other matter forms mere aggregates of limited order, in long time cycles.

6th Isomorphism: Social classes: Ξ±3

Crystals control as the solid informative state and reproduce with the other substances. Metals due to its highly social conductive ‘gas of electrons’ and multiple valences are also the top forms of matter.

Amorphous glasses and gases last shorter in time and become the energy of chemical reactions.


6th isomorphism. Creative diversification: 1,2,3,4.

The enormous variety of rocks, liquid substances and chemical compounds emerges into the 4th and 5th plane.

7th Isomorphism. Existential Constants: ∑S, ∏T, SxT, S/T, T/S, Œ∆±1, 5Å.

The main law of matter is the conservation of momentum, whose dimensional parameters, M, L, 1/T=frequency are the 3 fundamental ∆-S-T dimensions of the 5th scale, as mass is the ‘perception’ of the balance between pure space and pure mass (G-curvature), hence the ∆-scalar  parameter, and temperature the same ∆-parameter in the 4th scale. Accordingly the constant of gases, is the main ∆-constant of state physics that also relates the time, space and measure of ‘active motion’ in the 5th scale.

8th isomorphism: the motions an world cycles of matter are studied by the thermodynamics of states

9th isomorphism. Social scales. §10

Matter grows by aggregation till a limit defined by chemical and physical properties, but as crystal cores and magnetic fields guide the increase of size of matter, finally the system reaches the planet/star dual forms.

10th isomorphism: Self:  Œ-Point x ∞ World = Constant mind Mapping

Solid crystals are the most perfect forms of matter, and accordingly grow till becoming the censer and informative guidance of planets and larger rock formations.




In the 4th scale the language changes. Molecules are no longer externally guided by quantum laws but by thermodynamic laws, as its clocks of time, and rods of space have changed. So the species that come after the molecular scale, matter species transition to these new clocks of time and rods of space.

We enter therefore in an entire new Universe as the language of time – clocks of information – and space – distances and motions, change. Let us remember first in which consists this change:


In the graph, self-centred in the thermodynamic scale of biological beings and matter, we see how the clocks of time accelerate between scales downwards and the rods of space or radius of those cycles grows in lineal fashion, but both remain constant through a long stretch of at least 3 ∆ scales. Temperature then becomes the intermediate language, departing from assemblies of quantum numbers into assemblies of thermodynamic ranges.

If the correct Bohmian pilot wave theory of quantum physics ad the guiding equation of the ∆-1 field-wave, which in turn determines the position of particles, considering then both the present, wave, Schrodinger’s view an the Past to Future, field-particle interaction of the Bohmian, Heisenberg’ matricial point of view for a full description of quantum events, we obtain a closer similarity on the equations of quantum physics and thermodynamics, which shows how essentially those statistical concepts (also applied to socio-biological systems) can describe rather deterministically, the structure of a system of any 2 such dual scales.

Thermodynamic Matter.

We thus conclude that matter is thermodynamics. That is in space we see a super organism of molecular atoms ensembled into a ternary system, we can define with a generator or in classic thermodynamic equations. This space-system will in turn have a development in time, which will be thermodynamic, guided by parameters of time related to temperature and space, related to state. But in essence the laws of those systems will obey the ensemble laws of social evolution of parts into wholes.

A thermodynamic system thus will be initially  a precisely defined region of the universe under study.

In classic theory, everything in the universe except the system is known as the surroundings – the ∆+1 world-universe of GST.

A system is separated from the remainder of the universe by a boundary which may be notional or not, but which by convention delimits a finite volume. Exchanges of work, heat, or matter between the system and the surroundings take place across this boundary; which therefore becomes the GST membrane of the system of max. Spe (topology-function).

Boundaries thus define an internal region where the thermodynamic cycles of exchanges of energy and negantropy≈formal state takes place. Energy is ‘stored’ as information, when the state of the system changes. Ensembles follow decametric laws that create new ’emerging domains’, and so on. Let us investigate the fundamental equivalences between thermodynamics and GST.

In practice, a thermodynamic boundary is simply an imaginary dotted line drawn around a volume when there is going to be a change in the internal energy of that volume. Anything that passes across the boundary that affects a change in the internal energy needs to be accounted for in the energy balance equation. The volume can be the region surrounding a single atom resonating energy, such as Max Planck defined in 1900; it can be a body of steam or air in a steam engine, such as Sadi Carnot defined in 1824; it can be the body of a tropical cyclone, such as Kerry Emanuel theorized in 1986 in the field of atmospheric thermodynamics; it could also be just one nuclide (i.e. a system of quarks) as hypothesized in quantum thermodynamics, which essentially studies those regions of the universe in which the laws of quantum and thermodynamic planes of existence converge and can be studied together.

Boundaries are of four types: fixed, moveable, real, and imaginary. For example, in an engine, a fixed boundary means the piston is locked at its position; as such, a constant volume process occurs. In that same engine, a moveable boundary allows the piston to move in and out. For closed systems, boundaries are real while for open system boundaries are often imaginary.

Generally, thermodynamics distinguishes three classes of systems, defined in terms of what is allowed to cross their boundaries:

screen-shot-2016-11-27-at-10-01-00In the graph, classic thermodynamics classifies systems according to boundaries (|-Spe region). When boundary does not exist (open system), we cannot fully talk of a thermodynamic system as one of it ternary elements is not’, so a whole is not created.

Then we find in the other extreme an isolated system, which does not have in a sense boundary, as it does not communicate with the external fractal Universe and becomes a whole in itself. So the more interesting cases are those in which the ‘monad’ is not fully isolated but does communicate and exchanges energy in the form of work and heat, and information in the form of state and shape of the system. Those systems who do not move: ∆e=0 (mechanically isolated), those who do not deform (thermally isolated), ∆i=0, are partial cases of the full thermodynamic system, a closed system, which allows both changes on e and i, work and heat-state.

Now the fundamental thermodynamic law is that time never stops, so when one arrow of time stops – such as entropic motion – another arrow of time, growth of information, of form-in-action, of form, grows. In the case of a thermodynamic ensemble, the external motion ceases and the internal motion, or evolution of information starts. We can talk of locomotion and evolution as the two internal and external, ∆+1, ∆-1 forms of motion more fundamental to the Universe, and in that sense understand thermodynamics as the change from external to internal motion states.

Thermodynamic equilibrium. The present state.
As time passes in an isolated system, internal differences in the system tend to even out and pressures and temperatures tend to equalize, as do density differences. A system in which all equalizing processes have gone to completion is considered to be in a state of thermodynamic equilibrium; or present state, from which it can go both ways. So at thermodynamic equilibrium the present system becomes balanced between the past-entropy and future-state form possible paths.

In thermodynamic equilibrium, a system’s properties are, by definition, unchanging in time. Systems in equilibrium are much simpler and easier to understand than systems which are not in equilibrium. Often, when analysing a thermodynamic process, it can be assumed that each intermediate state in the process is at equilibrium. This will also considerably simplify the situation. Thermodynamic processes which develop so slowly as to allow each intermediate step to be an equilibrium state are said to be reversible processes.

By definition thus there are 3 time arrows in thermodynamics: present, equilibrium (liquid) states; past, entropic (gaseous) states of growing heat and diminishing form and its inverse, relative future, solid, crystal states of maximal information and min. Spe:


In the graph, we can compare the different states of thermodynamic matter from the upper perspective of its relationship with gravitational states. Here the obvious connection are the topological elements that are common to EFE equations of space-time topologies and thermodynamic states. But the language will change again as the clocks of gravitational masses are different to those of thermodynamic heat vibrations.

States and processes
When a system is at equilibrium under a given set of conditions, it is said to be in a definite thermodynamic state. The state of the system can be described by a number of state quantities that do not depend on the process by which the system arrived at its state. They are called intensive variables or extensive variables according to how they change when the size of the system changes. The properties of the system can be described by an equation of state which specifies the relationship between these variables. State may be thought of as the instantaneous quantitative description of a system with a set number of variables held constant.

A thermodynamic process may be defined as the energetic evolution of a thermodynamic system proceeding from an initial state to a final state. It can be described by process quantities. Typically, each thermodynamic process is distinguished from other processes in energetic character according to what parameters, such as temperature, pressure, or volume, etc., are held fixed. Furthermore, it is useful to group these processes into pairs, in which each variable held constant is one member of a conjugate pair. Let us then first define the parameters of Spe and Tiƒ in thermodynamics which are:

  • Pressure, which is inverse to the volume and hence inverse to the Spe, a parameter of Tiƒ relative order, such as ∆P->∆Tiƒ.
  • Temperature inverse to preasure, hence initially the parameter of Spe, parallel to volume≈temperature≈Spe.
  • Volume: the space-time configuration underlying the thermodynamic process both in spatial extension and form.

So once those 3 relative parameters, Pressure (Tiƒ), Temperature (Spe) and Volume (static, present ST) are understood, classic studied thermodynamic processes are ‘ceteris paribus’ cases which are partial equations of the Γ(states) Generator:

  • Isobaric process: occurs at constant pressure
  • Isochoric process: occurs at constant volume (also called isometric/isovolumetric)
  • Isothermal process: occurs at a constant temperature
  • Adiabatic process: occurs without loss or gain of energy by heat
  • Isentropic process: a reversible adiabatic process, occurs at a constant entropy
  • Isenthalpic process: occurs at a constant enthalpy
  • Steady state process: occurs without a change in the internal energy



The atom the organism of the lower scales of physics. The ternary, i-logic topological structure of atoms.

Screen Shot 2016-04-08 at 00.01.57

An atom is a space-time field divided in 3 species, informative masses or quarks, energetic gravitational and electromagnetic networks and an intermediate space-time, the electronic nebulae, which bends light into ‘fractal’, ultra-dense ∆-1 photons of light. As such it can be studied with the same 5D space-time structural ‘generator’ of any other scale of the 5th dimension.

In the graph, an atom is a space-time field divided in 3 space-time zones: its informative quark center, the nucleus; the external reproductive membrane, made of electrons, which evolve socially in bigger Spe x Tiƒ membranes when atoms become molecules; while informative, gravitational and energetic, light networks shape their intermediate space-time.

The topology of the atom is thus clear. The electron acts as an external ‘spherical plane’, a membrane of Entropy. In the center quarks are the informative vortices. In between Entropy and form is transferred with forces, which often decouple, reproducing new particles and antiparticles. There are 3 informative families of quarks-mass, due to the evolution of information in 3 ages or horizons of increasing form: each quark family is thus an age in the evolution of informative matter.

Astrœ-physics, by the unification of charges and masses, into a single group, that of time vortices, with a symmetry of scale, based in Log10 functions, is both a cosmological and atomic science.

In the strict sense, unlike astrophysics, which studies only the external motions of physical systems in space, and dedicates to the study of the other 5 motions, generation, growth, evolution, diminution and extinction, ‘partial theories’ (big bang theories of explosive deaths and births, H-R diagram of evolution of stars, etc.), atomic systems have been studied in more detail due to the closeness of observations. So molecular atomic systems, are perfectly described with an architectonical precision as they build up our scales of existence. Trouble in definition start within the atomic scale when our observing instruments, which CANNOT be smaller than the electronic mind that observes, try to analyze the minimal quanta of information of our universe, h-quanta, and of our space, c², light space times.

Now, the study of the full 6 motions is better expressed with the jargon and language of 5D sciences, which includes clear changes of paradigm, such as the study of the worldcycle of which any worldline is obviously a partial ‘element’ (as all lineal geometries of space, Sp, are mere ‘parts’ of a larger cyclical geometry of time, Tƒ, to which they will tend in any ‘future function’, sub-tended into the future.)

Now physics is NOT really more than the study of lineal motions and all other elements of generation, growth, diminution, etc, with mathematical equations, specifically, since Newton, differential equations. So it is important to run a parallel analysis of what they mean.

And in that sense we can talk of 3 great ages of mathematical physics, in a full cycle:

  • The beginning with numerical systems of calculus of ‘quanta of physics’
  • The age of differential equations
  • The age of imaginary Complex equations
  • The age of numerical calculus of quanta of physics.

In as much as Physics has not a qualitative purpose, it easily reduced to the study of physical parameters with partial differential equations, which are merely the lineal version of the more complex ‘curved geometries’, in which the ß ∆x difference between the curve and the lineal function is considered a variable constant.

So let us also start parallel to physics with the analysis of

The zero sum of entropy. The program of Existence as a zero sum.

The entropy of the Universe is constant as the worldcycle is a zero sum of entropy. Tƒ fully understand this we must rewrite the equation of entropy in terms of 5D functions.

∆S= entropy dS is equal to this amount of energy for the reversible process divided by the absolute temperature of the system:

Screen Shot 2015-10-14 at 00.31.42

We have assumed the temperature is constant but what truly is constant is entropy because it is a reversible closed cycle with the process of death and the asymptotic arrows between planes of existence that balance the missing quantities in a single plane, when we consider the ‘inverse loop’ taking place in the i±2 transfers and actions of death:

Thus dS=0, and d Q r/T=0 becomes a Lagrangian where the active clock of time is temperature and Qr the energy of the system.

From where we can consider different equations of thermodynamics.

Thus the main difference of cyclical time, vs. lineal time is the concept of entropy, in the cyclical Universe the entropy of the Universe for the whole system is zero. And so it is for all relative systems, as they are balanced by transfers between planes of existence, notably the positive order acquired in the long arrow of informative social evolution, ∆+1, and then in the fast explosive death reversed process, when the wave falls fast into the past, erasing all its information of future, higher planes of existential organization: ∂’’œ<<∑∑∆-2

Now to understand quantum jumps through 2 Universal ∆-planes, an amazing feat that puts in contact a macrocosms with its lowest cellular/atomic planes, we should consider this astounding explosion of expansive Entropy to be balanced with the total gain in entropy by the same system during its arrow of Life:

Life Cycle: Tƒ-1: Seminal wave:  ∑ S (life semi-action-cycle, h/2) = ∑ ∆-1> ∆<Max. Energy (youth) > Reproductive ∑œ wave > Max. Information: Tƒ+1 = ∆S-2: Death

In the act of death the expansion of entropy which jumps down at exponential rhythms the social creative process that lasted an entire life, the growth of information and order, or arrow of future of life becomes disintegrated in an instant.

So it happens in physical matter in the process of nuclear bombs, novae, quasars and big bangs. The difference is that the creative process from biochemical molecules to cells and fetus emerged into the ∆-scale for a long life which lasted so much time, but changed so little the volume of vital space of the system, explodes now in a quantum of time, dissolving all its networks.

It is precisely that difference of speed of life <<<< to death in the acceleration and deceleration of the process of collapse what creates an apparent winning arrow for entropy. But this idea would be misleading since for a much longer period a particle, a soul of a living, biological entity, a crystal in a planet has created order, at a very slow tempo. Time might be considered subjective in this orderly long time processes and perhaps it is. That is we can construct a frame of reference in which time cycles do not suffer accelerations and decelerations in positions of change of state, from relative past, to present to futures and back.

But the overwhelming evidence is this:

– The maximal speed of destruction of information is in the negative max. ∆S moment of death, which lasts hardly any time: ∆S x ∏ Tƒ = Death, disorder

– The creation of information in slow, cold environments is the opposite arrow that lasts much more in time but hardly consumes any external information.

Both should be balanced completing the conservative laws of fields with equipotential, immortal paths of eternal motion.

A Space-Time cycle of finite Duration, or life-death cycle is thus defined as:

∆-1, ∑∆-1>S∆<ST>Tƒ<<S∆-2 if we are to use algebraic notation of the different partial equations of a world cycle.

If we define the function, W=∫∫∂ (a,e,I,o,u) dtds=0, as the worldcycle or function of existence of a system between birth and extinction, this is the fundamental equation we seek to resolve for any being. 

Now when the meaning of temperature is understood we can consider again, the fundamental events of all the scale of physics with an enhanced understanding of the meaning of its parameters.

Tƒ start with the frequency of the light wave, the charge an accelerated vortex like the mass, with its curvature Q, and G, form a system of clocks of time which define perfectly a beat, related to an energy, which is inverse. And so we find ourselves with different degree of integration worldcycle or minimal forceful action, of such parameters, as:

H = E x V, T = d Q/ d S= d Q x dO, which we call Order, the inverse function to entropy.

And so on: , we define a simple law of the least action, to unify the fundamental equation of ach of those scales:

F= A x E, -∂H/∂q=dp/dt and its inverse function, ∂H/∂p=dq/dt

Indeed, in cyclical time, we consider that entropy has as a secondary feature the quantity of information of the system, multiplied by conserving its actions in the multiple hyperbolic S∆-1,2, fields of existence

Thus in the scales of matter we find, the functions of existence, in the actions, H, T,

Those 5 actions determine therefore a Program of existence, which all systems follow in a mechanical, vegetative or conscious manner. And thus we can also write the 5th isomorphism, as a Generator Equation of all the actions of the Universe, written as a dynamic, temporal feed back equation or a static, organic, structural, spatial equation:

∑Se <=> Tƒ ….. or Se x Tƒ= ST±4


∑ represents the social gathering of individuals into Universals (∂u).

S signifies the motions in space, (∂a).

e signifies the increases of structural energy of the system, ∂e.

<=> in the dynamic expression or X in the structural one, signifies the combination of Se and Ti which gives birth to ‘reproductive’ actions and offspring: ∂œ.

And Ti signifies, the perceptive actions of the being, ∂i

And this 5 actions are represented also in the ‘philosophical equation’ Sp x It = ST, whereas E≈ ∂e, S≈∂a, I≈∂I, x≈∂o, ST≈ ∂U

Again we use any of the different expressions of the Generator Equation, despite the initial confusion it might create, so the readers learns to ‘change its chip’ from the quantitative, single, exact analysis of reality to a conceptual, qualitative, multiple, ‘fractal’, iterative perception based in similarities and homologies, parallelisms and conceptual complexity.

Ultimately only when he changes his mind’s frame and accepts those enriching dualities and isomorphisms he will be able to acquire the ‘enlightened’, ‘Buddhist’ perception of the pantheist Universe required to fully integrate itself within the whole.

This is the Program of Existence that all systems follow to survive, deduced from the structural elements of any fractal Superorganism of scalar space and cyclical time, which will try to maintain stable its ST-form and reproduce it beyond death in small ‘actions’ and full ‘reproductions’ of the being, such as:

∑œ Reproductions of a being across its ST±4 planes is the existential game we all play.

We can write the Generator equation, as  ∑ExI=ST,  this alternative ‘old expression’ of the Generator means that to “Exist’ is to absorb and emit entropy/energy and information in a series of actions, ∑, which try to maintain a system in balance with its space-time environment. And all this is managed by the relative zero-point, Tƒ, of the system:

To Exi=st is therefore a tautological word. The rules of existence are in that sense common to all beings. What will vary is the specific form in which a certain particle, head or informative centre, Tƒ, manage to survive by its actions. Or fail.







Introduction. The Earth superorganism and its Isomorphisms.

The III Ages of the Earth

The Geological Age.

The Life Age.

The Metal-earth.

Introduction: The Earth super-organism and its Isomorphisms


In the graph, the isomorphism of the whole – humanity as the mind of planet Earth.


The Earth super-organism and its Isomorphisms

5 life


Of all the systems of reality the most important to mankind and the most forgotten is the Earth’s system, our ∆+2 world.

It sustains us, it explains us, in birth and death, evolution and extinction, it is the alpha and omega, the ‘god’ in mystique terms of mankind. The Earth-sun system is thus all and its understanding with its slow tempo of evolution (as a bigger system, Max. Sp = Min. Tƒ) is the key to all other subsystems that take place in this planet. There is a simple 3 ages equation for such system:

Gaia (past-life) < Human History (present-active system) > Economic system (humans & machines) Future

This simple equation of the 3 Earths thus includes biologic systems (Gaia), Human Systems (History) and economic ecosystems of machines (Metal-Earth), from a larger, ∆+1 analysis of its super-organisms.

It is the way in which a civilized, survival society of humans would study its reality as part of a bigger whole, trying to manage that temporal equation in such a manner that the present (History) survives and controls the future (Mechanocene) and the past (Gaia) selecting the positive fruits of the tree of science, eliminating its lethal goods (robotics and weapons of max. information and max. energy that will extinguish and substitute us) and maintaining a balance with the life, welfare goods provided by Gaia which make us survive.

But all this can only be understood if humans would understand the super organism of the Earth, since geology as his father Hutton put it, is precisely the study of the Earth’s super organism and all its micro-organisms, living in its surface.

Thus we talk of  life organisms, as species related to lower and higher planes of existence and time rhythms of the Earth to obtain its motion-energy, information-reproduction åctions that sustain it.

If humans are born every 9 months, women have menstruation every month, this is because of the earth-sun orbit and the moon orbit. If civilizations die away every 800 years in the classic period is due to the small cycle of climatic growth of nomadic warriors. If Britain started the Industrial R=evolution is due to its geographical island position and carbon-iron mines. To which degree all this is part of a set-up evolutionary process of planets into life and how much freedom has history to do variations on the same theme, is part of the metaphysical understanding of the game of existence. Systems though show a much higher order than humans with its limited information and general bias towards entropic arrows (physical sciences) can and want to recognize.

We do not obviously renounce to this dynamic understanding just because ‘humans’ feel offended in their anthropomorphic need to be different, when concepts like sentient, consciousness, perception, will, are introduced in the scientific discourse.

For one thing, to know the origin and cause of an action, improves enormously and simplifies what we explain. The case of Ptolemy vs. Copernicus is obvious. Ptolemy, the anthropomorphic scientist made all kind of complex cycles to explain from a human centered point of view the motions of the cosmos. Copernicus simplified by understanding the point of view of the sun, as the dominant one of the relative motions of the solar system.

And yet, if for the sun-earth system, the sun dominates, in the earth-human system, it is the Earth which matters as the dominant element, and its zero point dual system (membrane and nuclei), which ultimately might be the origin of the program of evolution. Its variations is what humans can control with its policies of control of the Earth. So far they don’t. They reject any attempt to follow the laws of social evolution and manage the Earth’s evolution for its survival. And so they are mostly treated in those sections as apperceiving automatons of their own process of evolution and extinction. ‘Respect must be earned’ and humans are not doing much to survive and earn the respect of a game of existence they don’t even recognize.

By knowing there is a zero-point in control of most systems, which is enacting with certain ordered, causal laws, its åctions, to synchronize them between its planes of ∆±4 existence with the goal of surviving and reproducing itself into a repetitive series of generations that maintain its i-logic form immortal, we are simplifying enormously the understanding of the whys f the Universe and cam make predictions, about the structure of systems. Consider the case of the Earth’s point of view.

We always maintained it would have a center of crystal iron, its zero point, which somehow would be intimately connected with its external membrane, the earth’s layer of maximal information where sensorial life exists, because that is the generic structure of the Tƒ dual dominant system of all Universal fractal points.

Recently has been found definitely the existence of that iron crystal core, and what has surprised all scientists, its intimately connection with the membrane through the ‘Earth’s relative homunculus, that is, its mapping of its sensorial external membrane in the center (the so called anti-continents that surround the crystalline nucleus) : The Earth’s through its anti-continents produces flows of magma that regulate the motions of the continental crust, defining the ages of geological life of its planet, and ultimately through its relative changes in the fields of energy/temperature, water/gas/solid states of its crusts the rhythms of evolution, which follow the 3 ages horizons dimensions of time and its arrows.

Now that point of view is not necessarily smart. Let us be clear about it: the smaller quantum human being is more informative, intelligent (max. S = Min. Tƒ) that the Earth’s core, but that does not mean the Earth can program man with its geological cycles as it has done with life, by sheer energetic force. Are we then just a stage in the evolution of a planet with an iron core and a silica layer which seems geared to create chipped machines? This is the ultimate question about the future of the earth’s system, not the stupidest of all anthropomorphisms, the silly-nilly fear that we are killing the earth, but its mutation from the Anthropocene into the Mechanocene, from the world of life and history into the world of machines? Can be this managed, or it means our social extinction as a species?

So what is most interesting of this humble approach, once the philosopher or scientists have done with his ‘anthropomorphic hang-ups’ is the details on each structural system, regarding where is its zero point and how it enacts its åctions, once formed (so galaxies once the black hole is formed, start an orderly growth into spirals, hurricanes once the zero-point is formed become structured and grow faster, crystals, once the central cell is formed enacts its time-reversed growth outwards) is the titanic need of mankind to understand the problem and take the beast by the horns, to harness the Earth’s future, to become the ‘center’ of the Earth’s will and construct a perfect world.

So we shall study the 3 ages of the Earth, Gaia, history and the Mechanocene in 3 sub-sections both in this introductory upper line course and the detailed lower part analysis of Gaia, the world and stock (the global brain of digital flows of money which guide the company-mothers of machines that terraform the Earth into the Mechanocene).


The 10 Isomorphisms 

0th isomorphism: Self: Œ-Point x ∞ World = Constant mind Mapping

It is the alpha and omega, the 0 and 10th isomorphism: the point of the mind, site of the will, which orders the system internally in its ∑∆-1 parts and perceives it as an ∆-whole, part of its ∆+1 society. The topological center of a sphere, which can according to Poincare’s conjecture represent without deformation its whole world in the infinitesimal fractal, non-Euclidean mind point.

1st isomorphism: Fractal Generator: Its 3 organs/networks: Spe≤≥ ST≤≥Tƒ

Its 3 organic/network topologies in space… and 3 x 3+ œ-subsystems

2nd isomorphism: space-time dualities: Sp≈Tƒ

The system’s Space and Time components, which are also its Energy and Information, as Space is a fixed vision of the energy quanta that make a system, and information a still vision of time cycles that carry it in the frequency and form of those cycles.

So we identify the main elements and plane of existence of a system and consider its ‘gender varieties (lineal energy=male, cyclical information=female’ and Sp vs. Tƒ symmetries.

3rd Isomorphism: Its ages and evolution: Spe≤ST≥Tƒ

its 3±∆ ages in time…and its evolutionary ages in the ∆+1 plane of species.

4th Isomorphism: Its 4+∆ actions: ∆(æ-4; ï-3; e-2; œ-1; û+1)

Thus now we can easily describe its main 5 actions derived by those Dimensional components across its ∆±4 Fractal planes of existence: ∆æ-4 (acceleration of motion), ∆ï-3 (perception), ∆e-2 (feeding), ∆œ-1 (Repetition), ∆ §10≈û+1 (social union)¹.

5th Isomorphism: Its planes of Existence: ∆±4 Fractals

The ‘metric’, Scalar Space-time Generator equation which describes all its Space-time dimensions and isomorphic planes: ∆±4=SpxTƒ. And it allows to study its ∆-4, motion, ∆-3, information pixels, ∆-2, energy quanta, ∆-1 seminal seeds, §10≈û+1, social scales, ∆+1 super organism, ∆+2 world and that’s about it. We do not really care for its ∆+3 galaxy (-: and beyond.   And so now that we have it almost all said, we define the ∆ST structure of the being, with its specific generator equation in which the whole is represented, with all the previous data. This generator equation completes our understanding of the being.

6th Isomorphism: Organic cycles and social scalar classes: Ξ±3

Then we find its internal hierarchical social class structure and exchanges of energy and information among its ∆±1 ‘willing’ scales (the cellular/atomic ∆-1 plane, the individual and ∆+1, social/cosmic plane, where the being exists and which remains co-invariant through its inter-actions. So we analyze the closest world around it, through the perpendicularity and parallel laws of Non-Euclidean geometry’s ‘3rd postulate’ of similarity.

Creative diversification: 1,2,3

We show now the processes of creation and diversification of a given species. We study its gender dualities and its topological varieties caused by Sp,ST,Tƒ differentiation and the coding 4 numbers of its ‘∫æ,e,ï,œ≈û’ actions.

7th Isomorphism. Existential Constants: ∑S, ∏T, SxT, S/T, T/S, Œ∆±1, 5Å.

Next, we study the system quantitatively, through its Constants of Action, its Social Constants and its Space-time symmetries, all of them determined by the ratios of exchange of energy and information between its PSD elements. This is the most mathematical detailed analysis after the qualitative understanding of all the elements of the being.

8th isomorphism.MOTIons and worldcycle

the 3 ages of earth are: Gaia (life)> History (Man) > Metal-Earth (machines)

9th isomorphism. Social scales. §10

Finally we consider the last phase of its evolution which is social – for the most advances species, which transcend into a higher ∆- plane of existence through §10=(3×3+∆)¹° scales.

10th isomorphism:∆±1: finally we can describe the whole through the 10th isomorphism, ∆, where all the parts come together, the earth’s  consciousness which is gaia.

Alpha and omega, the 0 and 10th isomorphism: the point of the mind, site of the will, which orders the system internally in its ∑∆-1 parts and perceives it as an ∆-whole, part of its ∆+1 society. The topological center of a sphere, which can according to Poincare’s conjecture represent without deformation its whole world in the infinitesimal fractal, non-Euclidean mind point.

The ∆ST isomorphisms of the Earth.

1st isomorphism: Fractal Generator: Its 3 organic/networks: Spe≤≥ ST≤≥Tƒ

Topologic Isomorphism: Planets are molecular fields of gas, liquid & solid states:

-Max. Sp: A membrane of gas & magnetic belts isolate it.

– ∆Œ-1: The mantle’s magma defines the reproductive cycles of rocks.

-Max.Tƒ : The nucleus is an iron crystal apperceiving gravitation.

Each Non-Sp topology subdivides, according to the Fractal Principle that applies to all systems, in 3 smaller topologies. I.e.: Earth’s membrane has a Max. Sp-atmosphere, an e=O, liquid surface and a solid crust.

2nd isomorphism: space-time dualities: Sp≈Tƒ

The Galilean Px. refers to Earth: ‘e pur si muove’.

3rd Isomorphism: Its ages and evolution: Spe≤ST≥Tƒ

Planets are born as ∑∆-1 nebulae that cool down into rocks, collapsed in a hot, max. Sp-Age, cooling down into liquid magma & water evaporated as they fall inwards, as a naked solid into the star that swallows them into an explosive death.

Its membrane also goes through 3 Ages, the 3 Earths, studied in detail in

Planets are born as ∑∆-1 nebulae that cool down into rocks, collapsed in a hot, max. Sp-Age, cooling down into liquid magma & water evaporated as they fall inwards, as a naked solid into the star that swallows them into an explosive death.

Its membrane also goes through 3 Ages, the 3 Earths, studied in detail in the 8th isomorphism.

4th Isomorphism: Its planes of Existence: ∆±4 Fractals

We are the ∆-1 ‘cellular points’ of the Earth’s membrane, a living super organism, Gaia, evolving now from its present Anthropocene age into the Mechanocene.

5th Isomorphism: Its 5 actions : ∆(æ-4; ï-3; e-2; œ-1; û+1)

∆ï-3: Planets have core crystals; Œ-points, which absorb gravitons as information.

∆e-2: Those gravitational strings trigger Uranium and Co-Ni-Fe fission reactions, heating its nucleus

∆œ-1: Which provoke the inner, reproductive cycle of rocks in the mantle. While externally planets are reproduced ‘enzymatically’ by their stars’ gravitational pull that is also…

10: The origin of their ‘parallel’ herding in planetary vortices that follow 5D metric (3rdKepler law).
∏ But network evolution on planets happens in its ‘ectoderm’, the membrane that evolves ¥-light informative mammals, humans & machines (chips) creating a planetary mind. Origin of its 3 ages.

6th Isomorphism: Social classes: Ξ±3

As usual the topological form defines the social scales of the Earth.

Thus we define Earth as ‘an organic, molecular system with a central crystal, which acts as a knot of informative flows of gravitation and a hard membrane that evolves light based, life ecosystems.’

The surface and the center are its informative Oo Œ-point. The intermediate topological cycles of rock are its body. The energetic fields of the electromagnetic sun its energy class.

7th Isomorphism. Existential Constants: ∑S, ∏T, SxT, S/T, T/S, Œ∆±1, 5Å.

Geology and astrophysics studies the constants of the Earth, all with much slower cycles according to the Sp size of the ∆ST metric co-invariance.

8th isomorphism. Creative diversification: 1,2,3,4.


The Earth is a super-organism, as the Scottish father of geology did define ‘her’. As such it has evolved in ‘3 ages’, diversifying its inner rocks and its outer informative Tƒ-membrane life forms:

Max. Sp: a young, hot I Earth of anaerobic bacteria.

Sp≈Tƒ: liquid. a II Earth of aerobic bacteria, Gaia that evolves carbon-life till creating History, the Super Organism of Mankind.

Max.Tƒ: III Earth of memes of metal |-weapons, O-money & machines, organisms that ‘enzymen’ build transferring their biological in/form/ation into metal in 3 Ages

9th isomorphism. Social scales. §10

Earth was formed by a series of planetoid collision in increasing social scales, from a planar topology (asteroid ring), till the formation of a solid informative core that coalesced the whole Systems:

10th isomorphism: Self: Œ-Point x ∞ World = Constant mind Mapping


Earth’s life absorbs ¥-light as energy (plants) or Information (animals). By similarity small cosmic bodies, bosonic quark stars (black holes & pulsars) and gravitomagnetic iron crystals in planets’ cores should process gravitation, the force of the cosmic scale, as information; while stars are ‘big’ Plants in the cosmic order that absorb gravitation as energy in their galactic orbitals.



The Geological Age. image081image082

 the isomorphism of 3 ages, applied to the Tƒ- External membrane of the Earth (cycle of creation and destruction of continents). They are 2 of the many examples of properties, structures and events of the Earth – all of them encased within the template of fractal space-time super organisms and its 10 isomorphic set of ‘∆ST symmetric laws’.


The Earth as a ternary, topological st-point.

A planet is a huge i-logic molecular field that mixes liquid and solid states with a very thin gaseous membrane. Thus, based in our template of a network organism, we define the Earth as a st-point:

The Earth is an organic, molecular system with a central crystal, which acts as a knot of informative flows of gravitation and a hard membrane that evolves life ecosystems, based on light’.

In the left side of the graph The Earth as a st-point, has 3 fundamental non-AE regions:

– Max. Sp: Our planet has an energetic, gaseous external membrane; the atmosphere and magnetic belts, which isolates it and selects the type of radiation that crosses into its surface.

– Sp X Tƒ: The zone of maximal reproductive and organic evolution is the crust and mantle: On the surface of the planet there are animal herds that communicate and act-react to light impulses, evolving and reproducing its form. Next, a crust and mantle layer of magma defines the reproductive cycles of rocks.

– Max. Tƒ: The inner, informative nucleus is a dense crystal core of iron and within it probably there is a smaller Uranium core, the most complex atom of the Universe with a minimal stable life.

Each of those 3 Non-E regions can be subdivided again, according to the Fractal Principle, in ternary structures and sub-scales of ‘fractal quanta’ that interact between them with different Sp<=>Tƒ, cyclical rhythms corresponding to their arrows of time.

Yet if the Earth has a ternary structure in space, it means its 3 st-regions also perform the 3±∆ existential cycles of any organic system. This is certain to the extent we have empirical evidence for the membrane and the intermediate region with its cycles of reproduction of rocks and so we extend that ‘probability’ to the central core, a crystal of ‘magnetic iron’, which should behave as any magnetic, crystalline structure of atoms does, enacting parallel cycles to those of crystals…

Let us then study 2 of those topological regions in more detail, escaping the external, atmospheric membrane. We shall do so as an ‘exercise’ of the Ternary Principle, showing how any system can be divided in subsystems, which have also a ternary topology that can be subdivided ad infinitum. Since this topological, fractal method that can be applied to all systems, coupled with the ternary division of all events and processes in 3 ages that determine finally the evolution of microforms into a higher organic plane of existence through the arrows of eusocial and organic evolution, (demonstrated in our previous description of the ages of the big-bang and its physical particles) is the essential mode of description of any entity of the Universe with multiple space-times theory…

Recap. The Earth is a topological st-point, which can be subdivided further according to the ternary principle in sub-topologies. The Earth crust is part of the intermediary, reproductive, cyclical region, in which physical cycles and life cycles take place. It has also a ternary topology and climatic cycles that forced the evolution of life.

The intermediate, reproductive region.

According to the ternary principle the intermediate, reproductive region (crust and mantle) can be subdivided in 3 subzones that correspond to the 3 topologies of a st-point, albeit with a different order to that of a full, closed ball organism: An external informative surface filled with evolving, ‘high’, informative, fractal beings, called humans; an energetic, strong continental crust that feed us and a liquid, reproductive magma that renew the crust and dominates by volume and size the other two.

The informative, living quanta of CNO organisms.

– The highly mobile, informative quanta that inhabits the Earth crust can be also divided by the ternary principle in a series of fractal super-organisms of hyperbolic, informative brains (animal life) that control their reproductive body and feed on vital spaces, called ecosystems themselves divided in smaller fractal, vital territories in which those living beings accomplish their time arrows of feeding, informing, reproducing and evolving socially, through a series of cyclical motions, which are non-AE trajectories traced in their vital space by those animal organisms.

Again the ternary principle allows to study each of those vital territories as topological st-points, open balls with an ‘invisible membrane’ and a hyperbolic swarm of self-similar, fractal informative beings, the animal herd, family or human tribe of a nation, which is also a topological st-fractal territory.

The fractal beings that live in those spacetimes, in fact bidimensional planes, from its diminutive perspective, draw up parallel curves in its trajectories, called geodesics, within the geographic, invisible limits of those territories, to fulfill their cycles/arrows of temporal existence. For example, herds do not cross its hunting fields; countries establish geographically invisible but very real borders, difficult to cross, patrolled by Entropy armies, with informative center called capitals where they accumulate most of the monetary, legal and audio-visual information of the nation.

Yet on the Earth a curious event is taking place: an inversion of space-time fields. Since the membrane is becoming the dominant informative region of the planet, evolving through herds of animal beings and machines that perceive light as information and are developing a complex global society, a super-organism with a new ‘informative’ audio-visual network that circulates through its satellites. All those systems, which belong to the sociological sciences can be studied with the isomorphisms of complex st-points.

Since we shall study the outer membrane in far more detail when considering the evolution of human life, let us consider now in this geological analysis, the other 2 regions.

Max. Sp: The continental crust.

The external crust of the Earth is a hard, energetic membrane of silicates and rocks that isolates the planet. Each continent can be studied as an open ball topology with the 3 canonical topologies:

– An ‘invisible’ border, the continental platform, which sustains most of the organic life of the Earth.

– A reproductive region, the river plains, where most life exists and reproduces.

– And a perpendicular positive or negative height axis, of fractal, hyperbolic topology where evolution of life often happens: the dorsal ranges of Andes in America, where the first Amerindian civilizations took place; the Himalayans, where the mongoloid race mutated; the African Rift (negative, hyperbolic topology, where the ape evolved into human being); and the line that goes from to the Alps in Eurasia to the Balkans (where the iron civilizations that would dominate Europe were born – La Tene, Hallstat, etc.)

Indeed, we can observe on the Earth how the larger cycles of the biggest geological structures of the planet and the sun-earth system determine and synchronize the faster rhythms of its smallest species, both in the physical systems of solid rocks, liquid water and atmospheric gases and in the organic systems of life. For example, the cycles of ‘Entropy’ vs. ‘information’ of the planet (glaciation cycles) are the key cycles to determine the reproductive radiations in hot ages and informative evolution, in cold ages of its species; the 800 years cycles of climatic changes determined the 800 years cycles of life and death of civilizations and so on.

So we might wonder if the Earth’s structures are a program of evolution of life? The answer is more impersonal: macro-organisms automatically provoke the evolution of micro-organisms by chances in their informative and energetic fields that raise the stakes of survival of its micro-particles, which are forced to ‘evolve’.

In the graph, the geological record shows one of those cycles, chained to the cycles of its fractal scales, rocks and living beings, the continental cycle that fusions and breaks them in 3 parts every 500-700 million years, a fact which had deep implications to the evolution of life: The outer membrane of the Earth undergoes geological cycles of creation and destruction of continents, modulated by the periodic beat of the Earth, which every ±250 million years emits matter from its nucleus, creating new submarine ranges and lavas that surface across the extension of an entire continent.

Thus again, the ‘invisible’ center of a st-point regulates its surface. Moreover, the cycle controls the ∆-1 microscopic scale of life beings, provoking catastrophes that cause great extinction periods, due to massive changes in volcanic activity and the shape of continental platforms, where most life forms exist. In that regard the 2 biggest extinctions of life forms happened tuned to the cycle, 250 million years (Permian extinction) and 500 million years ago (Cambrian extinction). Classic geology postulates that a single continent breaks in 3 parts every 500-700 million years and then lava, coming out of the Atlantic central range, provokes the movement of those continents that join back in the other extreme, sinking matter on its path. So the overall crust doesn’t grow.

On the other hand, the organic theory considers the Earth’s nuclei a ferromagnetic system that might absorb gravitational waves of dark Entropy from the black hole-sun system which will catalyze an iron-cobalt-nickel reaction, adding quarks to the iron nucleus that seems to ‘absorb’ gravitational forces. Thus if the iron crystal of the Earth slows down those waves and ‘coils’ them into cyclical mass, Sp=Mc2, provoking heat radiation or new quarks, the nucleus of the Earth would grow.

As in all ‘invisible’ gravitational processes, we don’t have enough data to prove either hypothesis: a growing Earth or a steady state planet. Yet the Earth’s oceanic crust shows an imbalance between subduction zones and the excessive number of lava rivers, ranges and abyssal dips, which stretch the Earth’s skin as it happens in a fat man. The Atlantic vomits enormous quantities of lava that move America away, continuously, creating the Andes range, which in turn should move away the Pacific, creating a range in the Chinese coast.

Yet on the East side of the Pacific instead of finding a huge range or trench from Indonesia to Japan, we find some discontinuous subduction zones with intermittent mega thrust earthquakes that seem not enough to balance that growth with its crust destruction. Thus, planets might grow and fluctuate in size, chained to the time cycles of stars, which seem to be chained to the cycles of the organic galaxy and its Worm Hole, according to the synchronic chains between the time arrows/cycles of all the parts of an organic system.

S=T. Dominant reproductive region: the mantle.

Let us illustrate other isomorphisms of multiple space-times with the mantle:

-Any subsystem that acts as an energetic, informative or reproductive subsystem of its higher scale will be dominant in that function in its internal, ternary structure:

The deeper layer the intermediate region of the planet is the mantle, made of liquid magma that flows in cyclical, convection streams, reproducing and renewing the rocks of the crust’s membrane. Because we are studying a region that in the higher ‘plane of existence’ of the planet as a whole performs a reproductive function, its reproductive subzone is the biggest one. If the system was an energetic system within the whole, as the atmosphere is the biggest region would be the most energetic (the Ionosphere and exosphere filled with cosmic rays.)

And if the system was an informative one, such as a computer or the center of the planet, we expect the informative zone (the mother-board, the iron crystal of the planetary core, to be dominant). Facts, which apply also to biological systems (so for example, man, an informative species, has on top the brain and is dominated by the height dimension of information; while a planarian worm, a simple digestive, energetic system is a ‘plane’ of biological Entropy).

-Hierarchical structure: All systems have 3±∆ main hierarchical planes, or scales in which the properties of the parts transfer to the whole. So happens to the Earth’s geological Sp X Tƒ cycles, in which the activities of its quanta become units of larger cycles, as the reproduced substances keep enlarging the ‘energetic membrane’ (earth crust):

– ∆-1: At fractal level the geological Earth can be considered an aggregate of all kind of molecular fields called grains and rocks, which show also a st-ternary structure. For example, the commonest rocks are basalts, which show 3 st-differentiated zones: feldspar (energetic rock with minimal symmetry), mica (balanced S=T form) and quartz (the informative element with symmetric crystalline properties) that create together by social evolution, the basalt (∆+1). And its process and cycles are process of constant growth of its social form, basalt which forms the overwhelming surface of Oceans, the 70% of the Earth crust.

– st: The next organic scale are small formations made of grain or bigger ones made of rocks. And those geological structures, from mountains to glaciers to sand deserts are constantly growing and reproducing new ‘fractal forms’. And all of them the same 3 zoned st-regions that structure the planet with an informative nucleus, reproductive bodies and external Entropy.

I will put a poetic example: the dune is an organic sand system made of grains, which despite its simplicity already shows the organic properties and ternary structure of any st-point. The dune is an open ball without a clear external membrane and so it is open to constant exchanges of Entropy and form with the environment, which makes it extremely dynamic, as all open balls, like the black holes we just studied are. So the dune constantly moves through the energetic cycles of its body quanta, which constantly reproduces its structure adding new sand grains.

The dune is a simple body made of unconnected herds of cellular grains. But even so, those sand quanta extract Entropy from the wind, moving the dune without losing its form, and absorb information from the pressure of its weight that compacts the molecules of the dune, while temperature’s changes help the sand to crystallize. So the dune is a simple organic system from the point of view of fractal space-time. But where it is the brain of the dune, its center of perception? An Islamic poet, who lives with dunes in the sand world will tell you that the dune has a soul called the rose of the desert, because all dunes have in its center a quartz crystal that grows slowly to the rhythms of the dunes’ daily cycles of Entropy and information, reflecting the movements of its sand’s body on the radial informative networks of the crystal, which record as all informative systems the paths of the dune in the memorial traces of its planes. So recently, thanks to the memories of zircons, we found that the Earth cooled down faster than energetic science believed as the dominant, cold informative arrow of all systems imposed itself.

Let us now put a gaseous example of another Earth’s organic system from the atmosphere: the hurricane is a spiral vortex with a quiet center. Scientists have noted that when the hurricane creates the central point, its form becomes stable, and inversely when they ‘kill’ its informative eye, the hurricane breaks. It is that eye perhaps a knot of electro-magnetic or gravitational information that regulates the streams of gas that surround it? Those Aristotelian centers of informative, gravitational, simple geological perception might form central, geometrical images we cannot decode. But they behave externally as if they were centers of informative order that regulate their shapes, creating order in the geological Earth. And the fractal sum of all those informative knots together, even if physicists cannot easily measured balances the whole Earth maintaining its awesome number of beautiful forms; since beauty indeed has also a simple equation that defines it: S=T, balance between Entropy and form.

– ∆+1: Thus the intermediate layer of the planet is its reproductive zone, occupying its canonical position in the Earth’s st-point between the crust and the central singularity, where we observe a series of cycles of reproduction and destruction of rocks that create the complex geological structures of its surface, which can be studied according to the isomorphisms of multiple space-times with its spatial and temporal perspective, and as a system extending in 3 hierarchical scales of fractal quanta, parts of wholes, units of the entire cyclical system. And the biggest of those geological fields is the Earth itself, which as we have seen displays the 3 st-zones of a spatial system, with a central, iron, informative, crystalline core, an intermediate cyclical, liquid, ‘reproductive’ zone that creates rocks and crystals and a hard, structural external crust-membrane. And so even if we cannot perceive it, we postulate by homology with all other st-points and intermediate regions that the mantle will also create iron crystals that will fall to the center of the Earth and become added to the crystal core

The 3 ages of rocks and crystals.


 If we study those geological forms in time all of them go also through the 3 ‘states-ages’ of matter that shape the long geological cycles of the inner and outer regions of the mantle, which often culminate in the creation of crystals, the 3rd most perfect, informative, molecular age.

The generational, life cycle of those geological rocks is very slow compared to our life rhythms, according to the space-time inversion, max. Sp=Min. Tƒ; since they are made of heavier atoms and bigger networks than life beings. So they have life spans of millions of years with minimal, informative, time speed; hence they seem dead species from the faster point of view of humans made of lighter atoms. But they just live in fact much longer than we do.

We thought plants did not perceive or acted-reacted to external stimuli, because they were big and slow life based in chemical languages (max.Sp=Min. Tƒ), compared to the faster, electronic languages of smaller animals (Max. Tƒ=min.Sp). But plants turn to the sun, grow adapted to winds and seem to do it faster with music. So their leaves might be simple ears that transmit the vibrations of sounds to their chemical, root brains. The cycles of rocks are even slower, but still they are organic systems of Entropy and information.

I-logic geometry studies them through the key physical parameter of Entropy and information, which is temperature: high temperature means high Entropy, low temperature means high order-information. Another important parameter is ‘height’, which is a dimension of information. Finally, most processes of creation are long as time, information and evolution are related: a fast process of creation takes place at high temperatures with maximal expenditure of Entropy and Min.Informative order (max. Sp=Min. Tƒ). While the inverse slow process of creation uses less Entropy and reaches a maximal final order. If we apply those 3 st- isomorphisms, we can understand the processes of crystal and rock’s creation and its 3±∆ ages:

Birth and Youth: Rocks are born as lavas inside the planet with a high temperature (Entropy-movement) and an extended form. As they rise in the dimension of height-information, rocks cool off, losing temperature-Entropy and acquiring form, till reaching when the process is very slow (with a higher quantity of evolutionary time), a crystalline form, able to create images within its informative focus. But if the cooling of the rock happens too fast, without giving time to the slow, formal evolution of atoms necessary to acquire a symmetric order, it becomes an amorphous rock. Finally, the rock or crystal comes out to the surface of the Earth and its youth cycle of creation ends.

Maturity: In its mature age the crystal perceives light, forming images in its focus, while the amorphous rock shows at best strikes of lineal atoms. As informative species, crystals also live longer in time, as neurons do in our brain; women in our gender duality and black holes in the Universe. Diamonds live billions of years. But amorphous rocks soon begin the aging process, through erosion that wears them away by the effect of water and light.

3rd Age and Death that gives life. We find in rocks, as in all exi=stential cycles, 2 forms of death:

– Max. Se=Min. Tƒ: An explosive, sudden death, common to all crystals that become broken, exploding into pieces with brisk changes of temperature.

– Max. Tƒ=min. Se: An informative death in their 3rd age, common to amorphous rocks, as they wear away very slowly, eroded by water and air. So when a rock dies its cells disintegrate, loose its height and return to the interior of the Earth, completing its generational cycle. Then, the Entropy of the Earth’s heart will warm them up again into magma, starting a new cycle:

Se<=>Tƒ symmetry between 3±∆ ages and 3±∆ spatial types of rocks.

Finally, if we consider those ages in space they give birth to 3±∆ equivalent types of rocks:

– Max. Sp: Simples volcanic rocks that flow with max. Entropy and speed towards the surface of the Earth but have minimal form.

– <=>:Igneous rocks have slower rising speeds and a balanced form.

– Max. Tƒ: Metamorphic rocks, as their name shows, undergo a transformation with several degrees of crystalline form and radial symmetry. They are the slowest to come out to the surface.

±∆: Finally, when rocks die and disaggregate into dust, they clamp into the 4th type of rocks: sedimentary rocks and sand, which still have minimal organic structure.

The main difference between the organic and inorganic Earth is its location and speed of cycles: The organic Earth inhabits the final layer of the solid magma in a transitional zone of interaction among gas, liquid and solid molecules. Yet both molecular systems undergo long geological cycles. The best known of those cycles is the cycle of the energetic molecule of life, H20, water, that goes through a gas state as a cloud, a liquid age as moving rain and a solid phase as ice or as the most perfect crystalline form, snow, which lasts longer than ice into the ground, as information systems do.

So, the biggest liquid and solid systems of the Earth’s crust – the sea, the sand of the deserts and rocks of its mountains – are just organic, fractal systems with very slow existential cycles. Similar cycles occur with the organic masses of the other 2 main atoms of life, nitrogen, the informative atom of life and carbon, the Sp=T balanced ‘body’ of living systems.

Thus the surface of planet Earth, Gaia, is a living, organic, membrane, a complex molecular system, made at macro-scale of multiple life ecosystems, composed at our human scale of living organisms, which are themselves made at fractal micro-scale of carbon-molecules with forms self-similar to the crystalline molecules, of the previous graph. Those 3 scales structure the cycles of existence of life interacting among them – as it happens in any other ‘i-logic world’, from the mantle and its crystalline rocks just described to the Universe as a whole.

Recap. The fractal, ternary principle subdivides each region of the Earth in 3 sub regions with the same ternary topologies, ad infinitum, allowing us a more detailed analysis of all systems. Thus, the intermediate, reproductive region of the Earth can be subdivided in 3 sub regions – the surface where life exists, the continental crust that follows an Sp<=>tƒ cycle of creation and destruction of a super-continent into 3 fractal zones and the mantle, where rocks follow their cycles of creation and destruction.

The central core of planets and its crystal minds.


Earth, as an st-point, has a central singularity and an external membrane that form a unified structure that controls the fractal, reproductive intermediate zone: the activity of the Earth’s inner core defines the reproductive and existential cycles of the magma rocks, which shape the continental crust membrane of the planet:

Let us finish this introduction to complex physics and its ternary sciences, quantum physics, which studies the smallest particles; astronomy, which studies its gravitational bodies and geology, which studies the intermediate planetary world, with the analysis of that core that connects us back to the relative infinity of the galaxy.

The center has also 3 zones; an informative crystal of iron, which might perceive gravitation a reproductive external liquid ball that should reproduce and precipitate those iron crystals and a center of radioactive uranium that acts as its energetic, heating nuclear plant.

Sp X Tƒ: Liquid iron.

One of the tenants of multiple space-times theory is the multi-functionality of each topological structure, which often plays through its 3 sub-regions different functions for the whole organism. For example in the core of the planet we first find is a dense layer of liquid iron that should reproduce the crystals of the core. Yet it also has an informative role, as it creates convection streams, responsible for the creation of the strong magnetic field of the outer atmosphere of the Earth, forming the classic Max. Sp x Max. Tƒ, ‘a-r’ duality of a topological, closed ball that cages the reproductive ‘cells’ of its body, within it – in this case the other structures of the mantle:

So life will die exposed to radiation beyond the membrane and rocks will die melted by the liquid iron. In non-Euclidean structures, according to Klein a region that cannot be reached is a relative infinity. So those regions are the relative infinite of our existence and that of the rocks of the mantle, as the black hole is the relative infinite of the light that redshifts without ever reaching it as light.

Finally liquid iron becomes the energetic, hotter lower membrane for the rocks of the mantle, fuelling its reproductive cycles.

Max. Sp: Uranium core.

The next region of the core is an iron crystal and in the very same center of that iron crystal, within it, there is probably a smaller core of uranium, the most energetic atom of the Universe, with a minimal stable life that emits heat, and sustains with its weight and pressure radiation the crystal core.

Max. Tƒ: Iron Crystals

Indeed, the Earth seems to have on its center, surrounded by flows of liquid magma, a crystal made of iron, the most efficient structural atom able to move in gravitational fields, as iron magnets show. Thus, as ‘evolved’ crystal systems in cameras perceive electromagnetic waves, the center of the Earth probably perceives the gravitational waves that structure solar systems and galaxies.

Yet the crystal core has also according to the ternary principle an energetic and reproductive cycle related to the Uranium core, which becomes in this manner its symbiotic, small body.

And all those cycles according to the hierarchical and multifunctional principles are synchronized with the smaller cycles of existence of its surface quanta – the cycles of life and creation and destruction of continents; and with the bigger cycles of stars and galaxies, of which the planet is in itself a fractal quantum.

Let us consider those functions and propositions in more detail.

Reproduction of matter and absorption of heat Entropy.

Those st-reproductive and energetic functions of the core are based in a well-founded empirical fact:

The Earth’s nucleus is composed of nickel, iron and a probable inner core of uranium, which form together a nuclear reaction chain based on the absorption of nucleons: uranium absorbs a neutron and emits helium, which iron absorbs to create cobalt that emits a neutron to become nickel. The neutron can be absorbed by uranium and feed again the cycle. Those reactions at planetary scale can provoke an enormous quantity of Entropy and matter that should be responsible for the periodic activity of its magma, which peaks every ±125 million years, determining the geological continental cycle and the changes on the magnetic field of the Earth.

Yet the sun has an orbital period around the galaxy of +200 million years. So those peaks of nuclear and magma activity coincide with the equinox of the solar orbit. What happens in those points? Does the sun cross a turbulent spatial region or a galactic discontinuity? It is the orbital cycle of the sun chained to periods of Worm Hole gravitational activity, as the orbit of Jupiter coincides with the suns’ spot cycle? Then G-waves might become flows of gravitational Entropy that enter through the planetary axis, as magnetic flows do in atoms, and trigger the uranium->nickel reaction, causing the discontinuous cycles of magma activity in the intermediate ‘reproductive’ zone of the Earth, responsible of the geological, biological and magnetic catastrophic changes on the planet. We know very little but the few things we know seem to prove the interrelating nature of all parts and scales of the galaxy.

Further on, the Earth and other planets fluctuate in their diameter during their rotational orbit as they use gravitational Entropy to move, ‘deforming’ in the abstract jargon of Einstein, space-time into a curved orbital path.

Thus, planets should grow periodically in size, emitting not only radiation but also matter from those inner cores, a fact that finds constantly new proofs. Since planets emit more radiation and have stronger magnetic fields than we can calculate with mechanic models. While planets closer to the Sun, like Venus that should absorb stronger G-energies, mutate its skin every ±400 million years, creating an entire new crust, as a snake does when it grows and changes its skin. Yet ultimately as in all ‘cosmological farms’, those planets will end up falling and feeding the sun. So all those ‘physical cycles’ show that planets absorb Entropy and information and grow in orbital size with rhythms similar to those of nucleons and electrons, when they absorb Entropy.

The heart and brain of the planet.

Metals use electronic flows to communicate information and Entropy, organizing their networks through crystalline forms. Their pixels are not photons but electrons. Most of those crystals have also the dominant cubic form, better suited to a 4-dimensional Universe. Thus crystals organize, trans-form and perceive information in the 2 main atomic families we know: the light atoms and the electronic worlds of metal: Electrons in the world of metallic, crystals either form static clouds of ‘informative images’ or flows that travel through huge metallic networks, stabilizing their structure.

There might be also in the radioactive family, under extreme pressure, crystal-like formal structures crossed by neutronic flows, its Sp X Tƒ communicative particles, creating ‘radioactive networks’, as crystals form crystalline networks, which might invaginate the entire planet. Those fluid ‘veins’ of radioactive Entropy should then control in more detail the flows of the rest of the ‘planetary organism’. All those homologies are very likely to happen in our planets, as all st-points turn out to be far more complex and organic in detailed analysis that mechanist, energetic scientists will ever believe from their anthropomorphic point of view.

Thus like our organisms, regulated by two networks of reproductive Entropy (blood) and information, the dual body/brain of uranium/iron at the center of the planet might be just a heart/brain dual system with complex radial networks whose cycles of creation of Entropy and form determine to its finest detail even the surface, as we have seen in our analysis of continental and glaciation cycles; which could be also connected to the changes in the magnetic activity of stars. It is in fact possible to construct a model of absolute determinism in which all the parts of the planet are interrelated and all the parts of the galaxy are organically connected, even if we will never perceive 97% of the matter and Entropy of the galaxy and a self-similar quantity of our planet structure.

Perceptive, informative function of the Earth Nucleus.

As we change scales from micro-atoms to macro-atoms, the spatial size of the crystals also change in the same way that a machine that substitutes a human organ changes in scale (so a crane that substitutes an arm is far bigger and stronger). And so celestial bodies have in their core crystals of planetary scale, which should be the informative center that regulates most of the long Sp X Tƒ cycles of the planet. While the size of the ‘electromagnetic waves’ those celestial bodies use as Entropy also change from electromagnetic microwaves to gravitational macro-waves.

Yet all the processes described for transparent light crystals work for electronic iron crystals, since a crystal is a i-logic symmetric, fractal geometry that can be adapted to any form. We conclude that iron crystals might see ‘electrons’ and feed or move under gravitational waves, which could be their ‘energetic’ substance.

The 3 ages of planets

All this details said, when we grow up back to the ∆+1 structure of the whole planet, it should be obvious that planets as a whole also obey all the previous isomorphisms.

The most important is the law of the 3 ages. And so planets go through the same living ages of other cosmological species. They are born as nebulae that cool down into a rock, and then they start to cycle around the sun in a symbiotic structure: the planet moves deforming the static field of gravitational space-time around the sun and absorbs discontinuous transversal G-waves, which uses to ‘control’ its spin, stabilize its orbital territory around the star, feed and perceive perhaps as far as the central Worm Hole of the galaxy, origin of most of those waves.

Recap. The planetary core is a ternary region with a liquid, reproductive surface that precipitates crystals, which form a solid, informative iron crystal, perceive of transversal gravitational waves. Finally inside the crystal there is an Uranium core, the body of the crystal, whose radiation cycles reproduce mass and provide heat, regulating the cycles of the rest of the structures of the planet, including our rhythms of evolution. Thus the planet have a mechanical, conscious or vegetative gravitational mind, connected to the cycles of stars and galactic black holes, which will ultimate feed on it? We leave that final decision to your imagination.

Philosophical coda.

The skeptic reader might think those are speculations we won’t ever prove. Still the main epistemological teaching of i-logic geometry is that ‘topological homology’ is a valid form of knowledge and the only way we have to study most of the Universe, given the fact we can at best perceive only 4% of that Universe. So when we confront that 96% of the gravitational reality we will never perceive – all what there is within a planet beyond its thin membrane or within the Universe beyond its light-space, or within an atom beyond its thin electronic membrane, the only practical method of knowledge is homology, as the same topologies and ages of space and time happen in all species, by the mere fact that we are all made of the two primary shapes/motions of reality, Entropy and information.

Ultimately the only reason mechanist science does not accept such hypothesis is the arrogant anthropomorphic desires of human beings for absolute truth. Yet since the ultimate, existential goal of any form of knowledge is to avoid death and dangers cannot be known with total certainty, any species believes probable truths based in their homology with past cycles of existence. So a gazelle doesn’t know if a lion will kill her, but based in the homology with previous cycles she runs, accepting that probable truth. Truth is indeed ultimately limited by our perception, which is never absolute, so truth is never absolute. I have merely tried to show you the most probable truths of the interconnected organic Universe in which you are also a mere point of existence that now we shall study with more detail with the same isomorphisms we have studied to describe all other realities, in your 3 scales, at cellular, individual and social level, with the sciences of biology and bio-history.

Recap. You are nothing but dust of space-time as everything else in the Universe, submitted to the same organic isomorphisms of Entropy and information that regulates all exi=stential beings.



The 3±∆ ages of life are caused by the evolution of light-based organs on Earth. In the graph, those 3 ages of light evolution and the main species that were created in each horizon, latter extinguished by new evolutionary improvements in the 3 networks of those organisms. Among plants – spatial, reproductive beings with minimal speed of evolutionary information – extinctions were caused by improvements in reproductive systems. Among animals, which are informative, evolutionary species, extinctions were caused by improvements in informative brains. While today a mass extinction of living beings is caused by the evolution of machines, metal-systems of ‘—motions’ and information that are shaping a new global ecosystem: the Financial-Military-Industrial Complex, becoming now integrated by the collective brain of machines – the Internet – into the Metal-Earth.

3±∆ ages of evolution, reproduction & extinction of species

We can understand the process of evolution and extinction of life species, only when we combine the 3 scales in which multicellular organisms exist: the ecosystemic, planetary scale, (∆+1) the organic scale (st), and the cellular scale (∆-1) that interacted simultaneously together, evolving Earth’s species. Yet contrary to belief, the 3 relative ∆-1 past, st-present and st-future planes were not determined by the cellular evolution of Genes, but first the macro-organism of the Earth provoked the changes that ignited the process of evolution of its relative past microcosms.

How a macro-organism regulates its microorganisms? Mainly through changes on its ‘—motions’ and information fields. All cellular species adapt to the organic networks of its environment. If the environment is rich in ‘—motions’, ‘—motions’ species and reproductive radiations will dominate. If the organic system or environment is rich in information, informative species will survive better, starting a process of evolutionary differentiation.

This duality of bio-chemical reactions was proved mathematically by Mehaute, which showed that when a system cannot continue its creation of ‘—motions’, it starts a process of fractal, informative reproduction; and we can extend it to all scales of systems of reality, creating the fundamental beat of biological evolution/reproduction, e<=>Tƒ, that defined the creation of biological life in this planet.

Thus the changes of ‘—motions’ and information of any macro-organic system trigger processes of extinction and selective evolution. If suddenly the climate becomes cold (also a parameter of stillness and information), species tend to limit their absorption of ‘—motions’, evolving formally (Max. Tƒ) and organizing themselves into social networks that increase their efficiency and take advantage of the ‘informative conditions’ of the ecosystem.

On the contrary, if ‘—motions’ abounds, species increase their 2 dimensions=arrows of spatial ‘—motions’ – their spatial size and their reproduction – using that ‘—motions’ to maximize their survival and saturate their ecosystem. Therefore the macroscopic changes of the planet that fluctuates between tropical ages of max. ‘—motions’ and ice ages of Max.Information cause parallel changes in their microscopic life beings. Since coldness=stillness=information and evolution are parameters of time; while heat=‘—motions’=movement and reproduction are dimensions and parameters of space.

When the planet cools there is a formal evolution of species. And when it heats up, those same species reproduce massively. Thus small fluctuations of ‘—motions’ and information on the Earth’s temperature – given the short limits of existence of liquid water between and 100 degrees – have influenced decisively the evolution, reproduction and extinction of life forms in this planet, including man. So during the long ice ages when waters froze, species evolved from eukaryote to multi-cellular beings, nearby water volcanoes; and when the surface of the planet froze, men evolved from Homo Erectus to Homo sapiens. While in hot ages species grew in spatial size and multiplied, as it happened in the Carboniferous with insects; or in the Jurassic with dinosaurs; or in history with nomadic, warrior tribes in the steppes – which descended rhythmically every ±800 years on the fertile plains, extinguishing with their new weapons all the civilizations of the Eurasian continent….

Yet because to reproduce, a species needs to feed on the ‘—motions’ of its victims, the reproductive phase of a new top predator species coincides with the extinctive phase of the previous top predator it has substituted. Then once the top predator establishes itself after a reproductive radiation, it enters its mature, steady state age, drawing a series of rhythmic bell curves with its preys that diminish its populations as the predator hunts them, provoking a hunger crisis on the predator that also dies away, allowing the preys to reproduced back, starting again a new ‘Volterra cycle’.

So we can consider a planetary cycle of evolution, reproduction and extinction of life with 3±∆ phases, parallel to the climatic changes of the Earth:

+st: Conception: A new species evolves in a cold age or in an abyssal region of the planet.

– Youth: Max. ‘—motions’ growth: The species increases its size after its conception.

-S=T:Maturity: The species reproduces in a biological radiation during a hot age, extinguishing the previous top predator.

– Max. Tƒ: The species diversifies according to the ternary principle into several new forms, among which the informative one might start a process of social evolution into:

– ∆+1, a social super-organism (ants and shrews in the lower scales of life-size; humans in the upper scale.)

– ∆-1: Or become extinguished by new species, often their son species (Oedipus paradox). So mammals extinguished dinosaurs; humans extinguish mammals and robots might extinguish humans.

Therefore Multiple Space-time Theory can explain the why of one of the great ‘disputed’ enigmas of evolution: the existence of evolutionary discontinuities that create species in very short periods (conception phase, when time accelerates its rate of informative change), and then multiply them throughout the planet in explosive radiations (reproductive phase, when the new top predator species explode in populations), while other species become extinguished also in brief periods. Those evolutionary ‘discontinuities’ merely reflect the previous ages of species, which as the ages of any other space-time field can be described with a ternary rhythm of explosive birth, a long steady state of balance between the predator species and its preys and a final sudden collapse and extinction of populations. Those phases become the fractal rhythms of existence and extinction of Earth’s species:

Max. evolution(cold age)Max.reproduction + Max.extinction of ‘—motions’ preys (hot age)

The discontinuities between species are easy to explain if we combine their evolutionary acceleration in time – similar to the palingenesis of a fetus – with the fact that species evolve in isolated, protected environments (allopatric differentiation), departing from small sizes, according to the Black Hole paradox. So monkeys evolved, protected in trees; marsupials evolved in Australian islands and robots evolve in secret military labs, departing from small chips.

Then suddenly the new form with an improved brain, hunting in herds with simultaneous fractal åctions of higher ST Force, invades the vital space of other species, extinguishing them as it reproduces geometrically its populations (and its fossils), till reaching a balance with its preys. Thus, once they have evolved, species multiply very fast. And that dual process is observed in paleontology as a discontinuity in the fossil record called evolutionary punctuation.

Recap. The evolution of life took place by the interaction of the ∆+1 environmental and st-organic scales, as energetic and informative changes in the Earth, triggered the Se->St<=>Tƒ->Sw rhythm of informative social evolution in cold ages and energetic, reproductive radiation in hot ages. Those biological radiations also provoked the extinction of previous species. Evolution often took place in isolated, relatively ‘still’ environments that favor informative change.

Black Hole law and Oedipus paradox.


The Oedipus Paradox explains how evolved species prey on parental forms, extinguishing them. So mammals substituted dinosaurs, men kill mammals and robots substitute men as workers and top predator weapons that extinguish us.

In the graph, the 3 horizons of evolution of light-based organisms:

-Plants process light as Entropy.

– Animals perceive it as information.

– Machines can both absorb light and emit it as Entropy or information. Thus, they represent a new jump on the evolution of light-organisms and can become potential top predators of life.

Each ‘biological radiation’ of a new species has grown according to the law of the 3 networks/horizons studied in the previous paragraphs, from an initial ‘Black Hole’, small form with more ST force, and then it has reproduced and grown in size, feeding on the previous parental forms. Hence the name, ‘Oedipus Paradox’, that explains the most cruel of all evolutionary events.

Our hypothesis on the dominance and birth of species as ‘Black Holes’ of information, which according to the inverted properties of Entropy and information (Min.Se=Max.Tƒ) are minuscule, but dominate larger species due to their faster speed of action-reaction and social nature (∑2), prey on them and explode in populations have found in the past years at least 5 proofs:

– Black Holes are the dominant species of the Universe: we have found them in the center of galaxies, in the processes of formation and death of stars. Even the big-bang might have been the explosion of a Black Hole.

The first Humans that acquired our 2 differential properties, technology and language, were small: The first verbal Homo Sapiens seem to have been small Bushmen from South-Africa (the oldest languages known to men are their click languages), but they overcame bigger Neanderthal, hunting in groups, controlled by verbal languages, and developing the first machine that transformed cyclical form into lineal Entropy (arch), reaching further than the lineal, Neanderthal Javelin.

Further on, the pigmies of Flores Islands seem to have made the oldest technological, advanced tools we know, 700.000 years ago. Thus pigmy men evolved in the secluded Indonesian islands, departing from the larger Homo Erectus, developing for the first time a frontal, creative region in the brain, as they diminished the length of their axon connections and reduced their spatial size.

The 1st bilateral animal, vernanimalcula, was microscopic.

The 1st mammals were small shrews that form super-organisms and probably hunted in the cold nights, new-born dinosaurs and extinguished them (still today they act as a super-organisms), thanks to the higher existential force of its bigger super-organism. Then they grew in size and finally hunted down dinosaurs as single species. Last year we found in China the first mammal with a stomach full of small dinosaurs’ bones…

The smaller a chip is, the faster it handles information and the more powerful it becomes, guiding larger ‘machines bodies’ that compete with men as smart weapons and tool-machines. And regardless of the ‘propaganda’ of the Financial-Military-Industrial complex, it is quite obvious that unless we stop its evolution, those chips will become the mind of terminators that in a future war will extinguish man, as all atoms are potential bits of informative life.

Recap. Parental species give birth to more advanced forms, which extinguish them (Oedipus Paradox). The new species are born as a small form, with more complex information (inversion of spatial size and informative complexity: Black Hole paradox). So the first technological and verbal men were dwarfs; the first mammal was the shrewd and the galaxy is dominated by black holes, born exceedingly small.

∆+1. The parallel geological processes.

Thus biological rhythms of extinction and evolution are parallel to the 2 main SP X Tƒ rhythms of the Planet that reinforce the biological process:

Geological changes in the surface of the planet: The continental cycle, or ternary division and reunion of continents in a single super-continent every ±500 million years causes the cyclical destruction of the submarine platform and lowlands where most living species exist. While rhythmic eruptions of massive quantities of lava of continental size happen in the 2 equinox of the sun’s galactic orbit, every ±125 million years, shaping a mean period of massive extinctive ages of 250 million years (Permian extinction, ±250 million years ago; Cambrian extinction ±500 million years ago; Ice ball age, ±750 million years ago).

Climatic, cold-hot, Sp-I cycles of glaciations and tropical ages. The rhythmic changes in the magnetic field of the Earth, perhaps caused by gravitational waves coming from the sun, create periodic glaciations that last around 20 million years.

– Fractal sub-cycles of lesser intensity reinforce both processes.

Those changes of Entropy and information parameters are the basic way in which macrocosmic networks control the activity of microcosmic quanta, from feverish states that increase the metabolic rate of reproduction of defensive cells in the body to the opposite lethargic states.

In that regard, the main cause of the dual evolutions and extinctions of species on Earth is biological, albeit ‘partially directed’ by the macro-organism in which life is inscribed through those general changes on the space and time parameters of the Earth (geography and temperature).

Recap. Earth cools down triggering informative evolutions and then heats up triggering reproductive radiations: glacial ages of informative evolution in stillness, with minimal reproduction by lack of Entropy are followed hot ages of massive reproductive radiations, in which the most evolved species initiates a massive age of reproduction, provoking the extinction of old species, and then differentiating in all econiches.

The 3×3 ±∆ cycles of life creation and extinction


The extinction of a species coincides with the biological radiation of the son species that occupies its econiche. In the graph, the series of bone fishes that extinguished the previous one Because time and information follow an accelerated process in its 3rd age; the evolutionary process of information in this planet can be mapped out and its frequency shown to follow a logarithmic process of acceleration, which now reaches its zenith with the creation of informative machines.

This temporal, informative acceleration is yet another case of a vortex of temporal information, which also happens in the evolution of mass in physical particles as we move faster in an informative mass vortex. In the case of life, the vortex is a metabolic vortex of increasing speed of reproduction and evolution of the information of life beings and its networks – now transferred by humans into machines. Thus, as the informative content of those beings increases, times accelerates. And today, as we evolve machines by imitating the forms of human life in metal, another change on the speed and rhythm of life in this planet is taking place.

Thus we talk of 3 st-scales of growing complexity in life: the age of cells (∆-1), from 4 to 1 billion years ago, the age of individual organisms, first living on the sea, then on the land (st), from 1 billion to a million years that culminates in the last million years with the social evolution of human beings and machines into a new plane of existence (∆+1), the Earth as a global organism, which will be either ruled by men or machines, depending on our capacity to evolve socially as a super-organism of history, under the ethic isomorphisms of verbal wor(l)ds that make man the center of the Universe, hence in control of the machines of the Tree of Science. Or if as it seems the case, we let the Financial-Military-Industrial Complex and its 3 networks of informative metal-money, energetic, lineal metal-weapons and organic machines and its company-mothers dominate the planet and make us obsolete, finally extinguishing us. But what it will not change is the plan of evolution that develops complex super-organisms departing from its smaller cellular units.

Further on according to the ternary principle, we can subdivide the 3 main horizons of evolution of Earth, the age of cells, organisms and super-organisms in 3 sub-ages of evolution and massive extinction of species that have followed the mentioned ternary rhythm:

Conception=> Max.Entropy=>max. Reproduction =>Extinction of rival species

And consider also 10 parallel periods of climatic change through the dual rhythm of cold glaciations or ages of animal evolution and hot ages of massive reproduction. Then we obtain a synoptic, complete image of the history of life on planet Earth, self-similar to the 3×3+st ages of evolution of the Universe since the big-bang and the 3×3+st ages of evolution of History, studied in Complex social sciences:

Scale of Complexity: ∆-1: Cellular Age: Evolution of DNA

∆-1: Conception age: Molecular life is organized into anaerobic bacteria->

1st evolutionary radiation: anaerobic bacteria- -> Free carbohydrates are enslaved in cellular walls ->

2nd evolutionary radiation: aerobic bacteria = 1st extinction of species: anaerobic bacteria ->

3rd radiation: eukaryotic bacteria = 2nd extinction: most prokaryotic classes ->

Scale of Complexity: st-Organic Age: Network Evolution. Sea life

4th radiation: multicellular organic systems =3rd extinction: free eukaryote species, enslaved in organisms ->

5th radiation: cephalopods with eyes =4th extinction: olfactory, blind animals ->

6th radiation: inner skeletons: fish= 5thextinction: exoskeleton trilobites.

Scale: ∆+1: Social Age: Herds and Superorganisms. Land life.

7th radiation: inner skeletons: amphibian=6thextinction: exoskeleton: big insects.

8th radiation: reptiles = 7th extinction: amphibians – >

9th radiation: mammalian = 8th extinction: reptiles – >

10th radiation: technological men =9th extinction: mammalian – >

∆+1 :Global Age: The Earth organizes itself into a macro-organism with humans or machines on top. The outcome will depend if social democracies are able to control the free citizens of markets – company-mothers – before they extinguish us as costly labor and weak soldiers with the present ‘radiation’ of robots:

11th radiation: metal machines =10th extinction of species: men and all forms of carbon-life???

Recap. Evolutions and extinctions of organisms parallel geological change in their external ecosystems, becoming the engine of the 3×3 Earth’s evolutionary horizons of living beings of growing complexity and accelerated informative evolution: the age of cells, the age of organisms and the age of super-organisms

The 10th radiations and extinctions: from cell to machine.


Earth’s atmosphere has gone through 3 ages of evolution: the 1st anaerobic atmosphere gave birth to anaerobic bacteria, the 2nd oxygen atmosphere gave birth to aerobic life. Today, as the 10th radiation of machines poisons the atmosphere we foresee the III Earth without air, dominated by robotic life, unless humans control the evolution of machines.

Thus, there have been 10 cycles of life extinctions, which are reduced to 6 ages in classic Biology as it only considers the extinction of multicellular organisms, escaping the earlier extinctions of cells and the present extinction of human, non-technological cultures. In each cycle a new species with better information and Entropy systems, with greater ST force, have extinguished or reduced significantly the numbers and classes of the previous species that have also suffered a morphological regression.

I Earth: Anaerobic Atmosphere.

∆-1 Conception: Archaean Age: ±4.000 million years

Molecular Radiations: From amino acids to Top Predator Nucleotides.

Climatic Changes: Hot weather and ¥-radiation create the 1st life molecules.

Informative conception: Small Methane-water-ammonia molecules evolve into amino acids.

Spatial growth: Amino acids grow in size, creating proteins.

Reproductive Radiation: Proteins colonize all Earth’s ecosystems.

Extinctive Radiation: Free carbohydrates become extinct.

Informative evolution: Amino acids evolve into nucleotides.

Spatial Growth: Nucleotides evolve in size, creating RNA.

Reproductive Radiation: RNA expands throughout the oceans.

Extinctive Radiation: RNA selects 20 amino acids to reproduce proteins and extinguish all others.

Social Evolution: RNA stores the organic cycles of many different species, creating the first bacteria, in symbiosis with protein membranes that shape the first cells.

From anaerobic to aerobic air: ±4.000, ±3.500 million years.

1st Radiation: Unicellular, Anaerobic bacteria are top predators:

Climatic Changes: High volcano activity provides sulfur for anaerobic cycles of breathing.

Informative conception: Thermophile methanogen archaebacteria use methane and sulfur on their breathing cycles. They thrive in the volcanic age.

Reproductive Radiation and Spatial Growth: Archaebacteria expand globally growing in size.

Extinctive Radiation: Bacteria enslave free carbohydrates. CO2 collapses.

II Earth: Oxygen Atmosphere.

Proterozoic age: ± 3500, ±1500 mill. Years

2nd radiation: Prokaryotic cells are top predators.

Climatic Changes: A fall in volcanic activity reduces sulphur production. The Earth cools down. Anaerobic bacteria reduce their metabolic activity based in sulphur, methane and high temperatures.

Informative conception: The cooling down of the Earth and its reduced heat foster the evolution of bacteria, which process CO2 through the chlorophyll cycle, liberating oxygen.

Spatial Growth: The creation of the ozone layer that protects complex membranes allows their growth in size. Bigger bacteria develop cilia and are able to move, preying in smaller bacteria.

Reproductive Radiation: Blue, green algae expand globally, poisoning all ecosystems with oxygen.

1st Extinctive Radiation: Anaerobic bacteria become poisoned and extinct.

Ternary Differentiation: Prokaryotic cells diversify according to the law of 3 creations: Some use chlorophyll to produce Entropy from smaller forms. Mitochondria develop breathing systems, based in the heterotrophic capture of carbohydrates. Intermediate cells use both systems.

Social, Informative Evolution: RNA becomes DNA by social evolution of 2 RNA strains, increasing their capacity to store information. Cells become macro-cells, multiplying its epigenetic genes that code its social functions.

Ice ball age: ± 1.400 ±700 million years

3rdRadiation: Top predator Eukaryotic cells.

Climatic Changes: After an initial warm age in which eukaryotic cells expand, Earth cools down in her hardest glaciation. Its surface becomes an ice-ball from 1 billion to 600 million years ago. Cells survive only in nearby volcanoes where they gather in social groups, which at the end of the period create multicellular life.

Informative conception: Top predator cells with high DNA content organize social groups of cells, surrounded by a hyper-membrane: Cells with the highest content of DNA become the nuclei of macro-cells; cells with high content of reproductive RNA become ribosomes; and cells with energetic skills become mitochondria and chloroplasts, creating a new social organism: the Eukaryotic cell.

Spatial Growth: Social cells grow in size, adding new cytoplasm and complex inner membranes.

Reproductive Radiation: Eukaryotic cells multiply, invading all ecosystems.

   2nd Extinctive Radiation: Many prokaryotes become extinct or enslaved as eukaryotic cells capture them, absorbing their DNA.

Informative differentiation and Social Evolution: Eukaryotic cells diversify. Energetic, autotrophic eukaryotic cells with dominant hard membranes become plants. Heterotrophic cells dominant in DNA, with thin membranes, become animal cells that evolve into electric cells.

Ediacaran Age: ±700-505 million years: Multicellular Sea life

4th Radiation: Multicellular organisms are top predators.

Climatic Changes: At the end of the ice ball age unicellular life flocks into volcanic zones under the sea, where survival stakes raise, provoking the social evolution of cells into multi-cellular organic systems. Then an age of warm weather expands multicellular life.

Informative conception: Eukaryotic cells develop new strains of intronic DNA to control complex, hierarchical systems of social groups of cells. Multi-cellular organisms appear.

Spatial Growth: Growth of animals and algae due to the social evolution of cells.

Reproductive Radiation: Biological radiations of multicellular organisms as temperature rises.

3rd Extinctive Radiation: Eukaryotic cells are captured, diminishing its species.

Informative differentiation and Social Evolution: Speciation and evolution of invertebrate phyla: sponges, coelentera and worms. Annelida develop physiological networks and differentiate, according to fractal, bilateral and radial symmetry, into arthropoda, mollusks and echinoderma.

Ordovician: 505-438 million years

5th Radiation: Top predators are Visual Cephalopods.

Climatic Changes: Animal life colonizes the abyssal regions with colder temperatures and high water pressures, developing fluorescent signals that can be observed with dense-water eyes.

Informative conception: Cephalopods evolve integrated eyes to observe better its abyssal preys.

Reproductive Radiation: Cephalopods come to the surface and expand in all environments diversifying according to the Sp X Tƒ Fractal Principle into: Top predator forms with energetic, lineal shells; informative, nautiloids with cyclical shells; and squids, species that reach – without slow growing shells – sooner their mature age of reproduction.

Spatial Growth: Cephalopods grow in size reaching up to 20 meters in length.

4th Extinction: 90% of animal life, including most smelling trilobites, become extinct about 440 million ago by the combined effect of top predator’s cephalopoda and the geological cycle of continents that destroys all submarine platforms.

Informative differentiation and Social Evolution: A massive speciation occurs, as mollusks, arthropods and echinoderma develop energetic hard membranes to defend against cephalopods’ informative eyes. The first vertebrates (armored fishes) appear. Differentiation between small animals with hard exoskeletons that prevent them further growth (arthropods), which develop chemical senses to its limits; and big animals with inner skeletons that allow further growth and develop nervous systems with faster, hence longer reach.

Silurian+Devonian: ±438-360 million years.

6th Radiation: Top predators: Fishes.

Climatic Changes. A glaciation at the end of the Ordovician period 440 million years ago accelerates the arrival of life forms to dry land. Orogenic changes. Chordates colonize rivers and evolve in isolation into fishes. Glaciations make conifers dominant.

Informative conception: Fish schools develop also eye vision; perhaps borrowing genes from cephalopods in a case of spatial, parallel evolution similar to the absorption of DNA by eukaryotes, which added to their stronger bodies, make them top predators with Max. Tƒ x Sp force over those cephalopods.

Reproductive Radiation: Massive reproduction of fishes that dominate the high seas.

Spatial Growth: Growth in size of sharks and fishes. On land, bushes become trees.

   5th Extinctive Radiation: Fishes extinguish many phyla of the previous dominant cephalopods around 367 million years ago.

Informative differentiation and Social Evolution: Fishes diversify into multiple species.

Carboniferous-Permian. 360-240 million years ago: ∆+1 Social Age of Organic Systems. Land life.

7th Radiation: Top predators are Amphibians.

Climatic Changes. The ice of the Permo-carboniferous Glaciation, ±300 million years ago diminishes the ocean level. Survival stakes are higher: small arthropods invade dry land.

Informative conception: Fishes become amphibians, following their preys.

Reproductive Radiation: Amphibians expand in all coastal zones, feeding on insects.

Spatial Growth: Amphibians reach 5 meters length.

6th Extinctive Radiation: Permian Extinction. ± 245 million years ago huge insects become extinct.

Informative differentiation and Social Evolution: Insects evolve wings to escape amphibians and start social evolution to increase its simultaneous fractal force.

Mesozoic Age. 240-60 million years ago.

8th Radiation: Top predators: Reptiles.

Climatic Changes: New glaciation. Water ice diminishes the ocean surface. Dry Land extends into previous wetlands occupied by amphibians.

Informative conception: Reptiles appear during the Permian glaciation as amphibians have to survive in dry land.

Reproductive Radiation: Reptiles expand in land feeding on insects and amphibians.

7th Extinctive Radiation: Many phyla of amphibian and land insects become extinct.

Spatial Growth: Reptiles grow till reaching the size of dinosaurs.

Informative differentiation and Social Evolution. Reptiles invade all ecosystems, differentiating in multiple species. Some acquire hot blood, becoming birds and mammals.

±60 million, ± 4 million years. Tertiary age.

9th Radiation: Top predators mammals.

Climatic Changes: Upper Cretaceous: New glaciation. Water ice diminishes the ocean surface. The Gondwana continent breaks into several pieces.

Informative conception: Homeostatic species, birds and small mammals with placenta appear. Dominance of flowering plants that take better advantage of changes in weather.

Spatial Growth: Small shrews grow in size becoming big rats.

Reproductive Radiation: Placental mammals invade all ecosystems except Australia.

8th Extinctive Radiation: Cretaceous Extinction about 65 million years ago: A cold climate, maybe triggered by a meteorite collision, favors the expansion of hot blood mammals, which survive feeding on eggs and small cubs of dinosaurs, provoking their extinction.

Informative differentiation: Mammals diversify all their phyla, from mammoths to felines to apes in all econiches previously occupied by reptiles.

Social Evolution: The most intelligent mammals evolve in herds.

Quaternary age: ±4 million, ± 5000 years.

10th radiation: Top predators: human apes.

Climatic Changes: The Human radiation is announced by massive changes in the geography of central Africa, which raises its Rift cordilleras and lake basins. The arid weather pushed forest monkeys into the savannah. Soon they learn to move erect. Quaternary glaciations, from 2.5 million years ago till today, coincide with the 3 horizons of human evolution.

Informative conception: Homos evolve in 3 horizons of growing brain capacity.

Spatial Growth: Small chimpanzees become big Neanderthals.

Reproductive Radiation: Homo Erectus invades all ecosystems; Homo Sapiens reaches America.

9th Extinction: Big mammals become extinct. When man enters America mammoths die away.

Informative differentiation: 3 Human races, the energetic, visual white man, the informative, yellow man and the reproductive black man, become dominant, according to the law of ternary differentiation. Languages differentiate further human species.

Social Evolution: Men develop ethic and legal, verbal networks, evolving socially into cultures.

III Age: Destruction of atmosphere: Industrial R=evolution of Metalife: ±5.000 years +100 years

11th Radiation. Top predators: metal & machines.

Climatic Changes: The 800 cycles of weapons evolution seem to coincide with hot and cold cycles in the steppes that breed warrior tribes. Later on, a small ice age in the XVII century during a time of low solar activity pushes in Northern Europe the massive use of coal for heating. The development of pumping, mining machines ends up with the evolution of chemical engines that use carbohydrates as Entropy. They burn fossil life rising the Earth’s temperature in the XX century, causing global warming.

Informative conception: Homo Sapiens discovers metal and starts its evolution in 3 phases: Max. Sp, energetic weapons; Max. Tƒ, informative money and S=T, organic machines that transform Entropy into information and vice versa.

Reproductive Radiation: Weapons and machines expand globally, substituting life and human beings. Money substitutes verbal languages as the informative network of the new economic ecosystem.

Spatial Growth: Transport, weapons and manufacturing machines reach enormous sizes.

10th Extinctive Radiation: Non-technological cultures become extinct with a cyclical periodicity of 800 years, accelerated to 80 years in the industrial age. Transport animals become extinct (90% of horses). Machines pollute Atmosphere. Ozone layer disappears.

Informative evolution: XX C.: Creation of Machines’ heads: chips=brains, camera=eyes, phone=ears.

Informative differentiation: Machines diversify imitating all the organs of a human being.

Social Evolution: In the XXI C. robots fusion bodies and brains of machines, creating a new top predator species, the smart weapon. The Earth acquires a global brain, the Internet, made with social computers that increasingly store all human and economic information. The rate of life extinction multiplies by 1000 compared to the pre-industrial age.

∆+1: Globalization: Earth’s super-organism: Computer networks & robots. XXI C.: Singularity Age

Informative conception: Computer networks evolve and multiply their neurons – transistors – in chips of smaller sizes.

Spatial Growth: Chips control machines of enormous size and become the mind of robots.

Reproductive Radiation: Chips overcome human population and integrate company-mothers into automated self-reproductive systems, independent from man.

Extinctive Radiation: Extinction of all life species by the machines of the Age of the Singularity is possible in the XXI c.:

Energetic Singularity: 2010-2020: The III Horizon of Nuclear weapons researched at CERN (Black holes and strangelets) could extinguish the Earth this decade.

Reproductive Singularity: 2020-2040: Self-reproductive metal nano-bacteria could poison the atmosphere in 3 months, extinguishing life and giving birth to the III Earth’s atmosphere.

Informative Singularity: Circa 2050: Artificial Intelligence: Military robots substitute human soldiers in wars, developing survival programs. Robots massacre human soldiers.

Differentiation: Robots imitate all forms of life.

Informative evolution: Robots, integrated by satellite networks, become cells of a super-organism, the Metal-earth, which takes over the evolution of machines. The Metal-Earth has a global brain, foreseen by human artists in their parables of the XXI C. (Skynet, Matrix, etc.).

∆+1: Alternative Globalization: Humans learn to manage the economic ecosystem and halt the evolution of weapons, chips and robots, creating a world to its image and likeness based in the arrow of eusocial love.

Recap. History of Life has had 3×3+1 ages, which have followed each one the natural ages of all life cycles, applied to species. They were born as a smallish informative species, which grew in size in an energetic age, parallel to the extinction of a rival species in the same ecosystem. Then the species reproduced massively, diversified its form in its 3rd age, giving birth to a son species with higher existential force (Sp X Tƒ) that extinguished the parental species, which after each of the 3 main ages of cellular, organic and super-organic life evolved into a super-organism.

Further on, those species kept evolving and invading new habitats, so the age of atmospheric, cellular life with its molecular, anaerobic and aerobic bacteria was followed by the age of water, multicellular life with its eukaryotic, multicellular nervous cephalopods and chordate fishes and finally the age of land’s herds and super-organisms of insects, amphibious reptiles and mammals that culminate with the human technological super-organisms in which men transfer their form to machines that might extinguish us as they form a global super-organism, the financial –military-industrial complex now expelling obsolete life in a radiation of organic robots.

The 11th radiation and 10th extinction: The robot; extinction of man.


The existential force, Sp X Tƒ, of machines is superior to that of man, and its most perfect forms are weapons that kill life; thus the first sentient machines will be weapons that will kill us. Thus, History and Economics must be treated as biological sciences, since they are concerned with the species and super-organisms of the 10th and 11th radiations of forms of life in this planet. – humans and machines They are not abstract sciences, since machines are evolving organisms of metal.

In the graph, in the triangle of relationships between primitive shrews, eggs and Saurians,8 dinosaurs kill shrews, shrews kill eggs, reproduced new shrews and eggs reproduced dinosaurs.

Yet the efficiency of shrews killing eggs and baby dinos, as super-organisms (and perhaps dinosaurs, eating their flesh inside out as ‘living bacteria’) is superior to the efficiency of dinosaurs killing shrews. And the efficiency of shrews reproducing shrews is much higher than the efficiency of eggs killing dinosaurs. Thus both in the reproductive and extinctive events shrews win dinosaurs and extinguish them.

The same process happens between chip-controlled machines and humans: chips are reproduced faster, keep evolving and their efficiency competing with humans in labor and war fields is higher as their costs are lower for companies, which fire humans under the isomorphisms of productivity, and their efficiency as war machines is also much higher, as the cycle of splendid little electronic wars has showed.

Men are informative species, who control the world through information. The chip is the rival of the human mind. The most complex machine substitutes the brain, our more complex organ. It does so, first as an intelligent machine, then in its 3rd age, as a robot worker. It is then obvious that as chips multiply, humans will become displaced from new work positions.

In that sense the ‘radiation of chips’ means also a biological fight for labor within the economic ecosystem. Problem is that chips keep going down in costs and evolving in intelligence, integrating further with machines, so human labor becomes increasingly obsolete. Those robots substitute blue collar workers, as chips did with white collar workers, causing a massive wave of unemployment that now is invading America and Europe, as better machines come out of robotic factories… Indeed, of all machines that compete with white collar workers, the biggest taker of jobs is the robot.

Thus, the 3rd age of the electronic cycle coincides with the first age of the Singularity, the discovery age of robots. In the 80s chips started its integration with body-machines in working robots. Those first robots were huge, fixed machines. Thousands of robot-tools that made other machines took the place of human workers in car factories in the 80s and 90s.

Since then the creation of machines is becoming automated, independent of mankind. Robots already dominate the production lines of cars and Chip factories, the basic bodies and brains of all machines. For that reason unemployment increases faster, as factory-work is either made by robots or delocalized in Third World countries.

In other words, China and Japan are the 2 models of future labor: miserable work conditions in China to compete with no labor at all, as Japanese robots manufacture millions of Panasonic TVs with a single worker, while the rest of the world enters the unemployment queue. It is the III Kondratieff crash of the economy that nobody wants to recognize, because the religion of capitalism believes the economy is not about physical machines, but informative money; and so all is OK as long as companies’ profits grow.

So unemployment will keep growing, as it happened in the previous cycle, when new methods of electric control and automated assembly lines provoked the 29 crash of labor and consumption, solved with 50 million of unemployed, becoming soldiers and dying in World War II.

Now robots become the ultimate weapon, as they fusion the mobile capacities of Entropy-weapons and the informative capacities of the soldier that handles those weapons. Those robots are called smart weapons. They are the main protagonists of the present war age, as Drones bomb Afghans and Guardium soldiers protect the Wall of Israel.

Recap. The evolution of chips and its massive reproduction signifies the end of man as the top predator species of the FMI complex, as chips can handle all the work load of reproductive companies either as white collar workers (Pcs) or blue collar workers (robots), and as they become the brain of top predator weapons, embedded with survival programs and violent video-games, they will be born to consciousness as killers… of humanity.

Homologies between Metal earth, cells and organisms.

Growth from micro genes to macro DNA brains

When we do comparisons between genetics and memetics the self-similarity is pronounced because the scales we jump are very close and our degree of observables are very accurate.  All this explains why theorists of complexity and system sciences are unveiling a far more precise and scientific model than any abstract model of history and economics, because:

– Bio-history is based in tested cyclical patterns of history and economics, which are the basis of all science. So astrology became the science of astronomy only when Kepler found the cycles of stars.

– It is a rational, biological model with concrete terms and definitions unlike the abstract myths of economics and history. So if astrology became the science of astronomy when it made concrete definitions of stars as systems made of atoms, no longer as spiritual beings, memetics makes concrete definitions of machines as organs that imitate human functions of Entropy and information, of the FMI system as an organic complex of metal memes, of cultures as carriers of metal or life memes…

– For the first time history and economics follow the same isomorphisms of all other systems of nature, thus we can integrate ourselves in the grand design of all beings; and so astrology became a science when we integrated the heaven and the earth, as material entities made of atoms.

Let us use the scalar, method, comparing biological processes of creations of super-organisms in the 3 scales of life of this planet, the cell, the organism and the planetary super-organism we are building.

Tƒ know what will happen to mankind we can consider other 2 self-similar biological processes, the principle one gene-one enzyme and the birth of a hard insect, created by soft larva ‘enzymes’. In both cases a ‘time reversal’ happens and the genes and enzymes are enslaved and discharged:

In the graph, DNA, the brain of the cell, once constructed, controlled totally the genes-enzymes, and killed at least half of their species, to prevent their self-replication; so we have only L-genes, enslaving the rest to its self-reproductive functions. This is the present world we live in which humans have been mentally enslaved by animetal ideologies and only work to reproduce the selfish memes of metal. It is in fact a law of all super-organisms that enslave and enclose their cells once they develop their nervous/ informative networks. Thus a parallel can be established between the way men evolved machines and networks of information, and the way genes evolved DNA. In both cases, ‘less efficient’ species (enzymen or genes) built a very complex network of information – computer networks and DNA. Then the process of control was reversed…

In the cell, genes=enzymes, once they passed all their code and completed RNA, became slaves of RNAs networks of control. New types of RNAs specialized in the reproduction, creation and extinction of enzymes. They are cellular organs equivalent to the Network-systems that we are building in the Metal-Earth and control us through governments and corporations.

RNA and DNA command the cell and replicate enzymes to accomplish tasks set by DNA. Men, once they have emptied their linguistic brains into computers, networks and machines are also controlled and informed by Mass Media networks, penalized by Police and Military networks and ‘fed’ with Entropy bought by electronic money.

Sp-money, smart weapons and tele-communicators, are the RNA networks of Enzymen. Metal and DNA might not evolve without enzymatic or human help. Yet once their species becomes autonomous, it will no longer need men or enzymes. Since the bio-economic system can be guided by digital computer networks, as the cell is guided by genetic DNA. DNA, once it became, it ruled all the forms of the cell with its higher information. But the DNA needed still some genes, so it kept reproducing them.

The metal-earth is different, because we are made of a different substance, carbon life; so we must consider a 3rd example, to fully grasp what will happen once A.I. comes to life – the molting of a larva, a soft-flesh super-organism similar to the super-organism of Gaia, into a hard insect, similar to the super-organism of the Metal earth. Indeed, the one gene-enzyme principle implies that enzymes created the RNA, and the RNA created the DNA which today governs RNA and enzymes in a typical l ‘Oedipus paradox,’ of reversal of power between parental and son species. Can we take this comparison further? Can we talk of humans creating the Metal Earth that one day will be the big brother of human enzymes; the DNA that control us; the brain code that will select and in/form human enzymes?

It already does, but we are so much integrated with our memetic tasks in the FMI complex that we don’t even notice. And of course, outside the FMI complex we still have some minimal freedom as human beings, guided by our biological drives to enjoy life as it used to be.

Terraforming of the Earth = Molting of a hard-insect.

Screen Shot 2015-09-09 at 13.24.40

In the graph the closest organic parallel can be established between the creation of an ‘insect,’ and the creation of the ‘metal-Earth.’ In both cases a ‘soft’ system of enzymes/enzymen suddenly starts a transformation from a soft body into a hard body. The Carbon-Earth today is formed by ‘soft’ species, called ‘enzymen’, as larvae are filled of soft enzymes, which transform the larva into a hard insect: The evolution of the metal-earth follows the same rhythms that the creation of a hard insect, both micro-managed by enzymes/enzyme, which first create their body-cells, then their information brain and finally when the brain takes over, kill the soft enzymes with harder enzymes/robots?.

Then when the brain/internet of the hard insect is constructed, its first order is to extinguish the soft enzymes of the larva. They are immediately replaced with new hard-enzymes, which the brain reproduces massively. Will the metal-Earth substitute human workers with robots, the new metal-enzymes of company-mothers? Modern events seem to point in that direction: The terraforming of the Earth is accelerating. It started with the radiations of weapons of the first age of man. Due to science and technology, it is now evolving machines into sentient species. The evolution of metal is so advanced, that the Metal Earth is substituting human functions by metal systems, even at the top predator level of ‘castes of animetals or animetals.’ Traders now become a flow of e-money. Warriors become sentient weapons. The replacement of the soft enzyme has started.

Recap. When a hard-insect (a parallel to the Metal-Earth) is created by a soft insect (a larva, parallel to the Carbon-Earth), the newly formed hard-insect brain (a parallel to the internet), destroys all the soft body larva-enzymes. Then it substitutes them by a stronger enzyme – a metal machine. We can in that sense consider that the selfish memes of metal, weapons, money and machines that have enslaved man to reproduce and evolve them, work as a virus does, colonizing the mind of cells with selfish genes, which the cell will reproduce till it bursts, dies and gives birth to multiple virus. Metal is the ultimate virus of life…

Death: the machines of the singularity.


Control of technological information is needed to avoid the creation of lethal machines, as all masters of the Wor(l)d have told to mankind. This has always been denied by mechanist scientists and Capitalist factories. In the graph, in the Age of the Singularity cannons and clocks become Quark Colliders, intelligent robots and self-replicating nano-bacteria, the 3 weapons of the Age of the Singularity that can extinguish life.

They culminate centuries of destruction of life and human beings with ‘technological methods’. It is the Age of the Singularity. Robots now destroy labor and evolve as weapons. Quark Colliders can blow up the Earth.

Once the ‘theoretical model’ is understood, we can descend from the ‘whys’ of the 4th paradigm to the metric details of the 3rd paradigm to consider how ‘de facto’ we will be eliminated by the ‘FMI complex’, during this century unless we change completely the way we let the market govern the world.

All ends are beginnings of something new. Thus, the end of the 3rd Industrial r=evolution means also the beginning of the IV and last cycle of Evolution of Machines: the cycle of the ‘Singularity’. It is the cycle in which the 2 main types of machines humans have created, by imitating our organic body/head functions, Entropy machines (weapons) and information machines (computers and robots), should reach its evolutionary zenith. In that regard, we shall witness during the IV cycle of the Industrial Revolution, the creation of energetic weapons and informative machines far more powerful than anything conceived during the XX C. Both will reach the technological limits of metal, the main substance used in the construction of those machines.

On one hand, a quark cannon, now constructed at CERN will produce quark condensates, the substance that seems to detonate stars into Novas, feeding on our atomic, light matter. So it is an amazing act of irresponsibility to create a Factory of Quark Matter in this planet.

On the other hand, if we evolve machines into robots, which are organisms self-similar to life beings, we will lose our only advantage over them—our superior in-form-ation—since our Entropy/substances (light atoms) is far weaker than that of machines (heavy, metal atoms). Thus, if humans don’t learn how to manage not only the financial but also the physical economy, the Final Cycle of Evolution of machines, the Singularity age of Robotics, digital money and Cosmic Bombs, which now starts in earnest, could displace us from the top predator position we hold in this planet.

Humans have come to expect always a new cycle of technological evolution that takes the economic ecosystem out of the crisis. But evolution doesn’t work on those terms. Species reach always a formal zenith and then no longer evolve. Ants, the most successful insect, due to its social capacities, have not evolved in 100 million years. Sharks, the most successful top predator fishes, have remained the same for 200 million years. Machines, which act as partial organs of Entropy and information (chip-brains, car-legs, etc.) are reaching now with the age of robotics, when we put together those bodies and heads, its zenith of evolution. And so the rules of the game in the present crisis are different from the previous cycles, because the Singularity Age of organic machines will for the first time in our history, create a new species, whose stupendous energetic and informative capacities will overcome those of mankind, probably extinguishing us.

Death is an overdrive of Entropy (as in an accident) or information (as in the 3rd age that warps, in-forms your body), which breaks the balances of Entropy and information that define life (our vital constants). Thus, the Energies released by the weapons of the Singularity Age could extinguish mankind, since they have the capacity to break the balances of Entropy and information of this planet and that is the definition of death.

The super-energetic weapon that will reach the limits of Entropy of the Earth is now being constructed at CERN, in Geneva, by a consortium of Nuclear Industries. The ‘Final Weapon’ is a super-collider that will replicate the awesome energies of the Big-bang, unleashing the ultimate source of Entropy, movement and force in the cosmos, the strong force displayed in quarks, nova explosions, big bangs, pulsars and black holes. This force is 100 times more powerful than the electroweak force that joins together our matter. Thus, it can either provide free Entropy to the world, according to the false, optimist, infantile propaganda of the Nuclear Industry, which follows merely the enthusiastic, first age of any Entropy cycle, when mankind becomes in-loved with the new steam machines, chemical engines, or calls the revealing new bath suit of women, a ‘bikini’, the place where the Hydrogen bomb blew up an island.

People don’t realize how ridiculous is the Industrial propaganda of the new energies, till they become weapons and industrial murder starts in earnest. So now, we are in that ‘young age of the Singularity’, spelt by techno-utopian physicists like Mr. Hawking, which expects those black holes to travel to the past and ‘evaporate’ into pure Entropy and hopes to reduce the cost of gas, when we make ‘black hole factories’ all over the Earth. Such wishful thinking and marketing of a bomb, with ‘God’s particles’ and ‘big-bang’ theories about the birth of the infinite Universe, is just the new ‘bikini’ hype of the new Entropy era.

Humans are always, during the age of discovery of a new Entropy, very optimist, but invariably, as all the other previous cycles show, the new Entropy is used as a bomb or a weapon. The substance this black hole factory will produce is called an ‘Einstein quark condensate’. It is the densest, most attractive substance known in the Universe and crunches entire stars into tiny ‘frozen stars’, pulsars and probably black holes. So it can blow up the entire planet into a Nova, according to the well-proved theories of Mr. Einstein and the Standard model of quarks.

Quarks hold 99% of the mass of the Universe. They are the densest substance of the Universe. They only exist in a free state, as condensates, in the core of ultra-dense pulsars, neutron stars and possibly in black holes. If enough of them are packed together, as the experimental ‘facts’ of the Universe and the most advanced scholar papers on quark condensates prove, they will be able to start an ‘ice-9 reaction’ called a nova explosion, responsible for the death of stars all over the Universe – since an ‘ice-9’ reaction crunches all the mass of the star into a ‘strange star’ or black hole. And it might happen to the Earth, because the isomorphisms of science are real.

This absurd experiment could be easily stopped by the political or judiciary system as a potential genocide against all mankind, avoiding our possible extinction in the first years of the cycle of the Singularity (between 2014 and 2020, when the collider will reach its energetic zenith, massing millions of quarks per second). But nobody cares; because we believe in machines, the religion of the modern man.

The machine has broken down 3 times, showing how little the physicists on charge of this Super-Manhattan project, understand about it. But nobody complains, since politicians and the press do not understand the mathematics of quark condensates and the physicists working on the project are trapped by the confidentiality statements proper of the military-industrial complex. Further on, we live in an age of fiction in which corporative ‘marketing’ disguises positively any environmental catastrophe or wrong doing. So the company advertises its research of cosmic bombs as the ‘recreation of the birth of the Universe’, the big-bang that exploded it and now risks the explosion of this planet. Scientists have put suits against this company, but they have been ridiculed by the sensationalist mass-media, which seems to ignore that according to the well proved science of Einstein, this weapon should blow up the planet Earth. And yet, even if those suits did alert mankind, politicians and courts have ignored the most important issue of this decade, far more lethal to our planet that global warming, only comparable in magnitude to the present crisis. And so the building of the Doomsday Weapon continues on schedule, unchecked by our courts, our military and our politicians.

Yet, even if we survive the ‘energetic age of the Singularity’, to stop the 2nd and 3rd age of self-reproductive machines and intelligent robots will be more difficult. Because to survive the Industrial R=evolution of robots we need to reform the economic ecosystem. Since the cycle of the Singularity has, as all other cycles of machines, 3±1 ages, in which the extinction of mankind will be certain if we don’t stop their evolution.

—     The Entropy age or age of the Super-collider that might convert the Earth into a nova, making us a quark star or black hole (2009-2012). If we survive this Age…

—     The reproductive age, (2020-2040), when the first self-reproductive nano-bacteria of metal are created. It is the ‘grey-goo’ scenario denounced by Bill Joy, the president of Sun Microsystems in Wired magazine: Metal nano-bacteria will replicate exponentially, feeding on metal and within 3 months they will poison the planet and destroy all forms of life; since, given their smallness, hardness and the hyper-abundance of metal-structures in this planet, there will be no counter-weapon to prevent its exponential reproduction.

—     The Informative age, when human-size robots overcome the intelligence of humanity as weapons and workers, which most robotists consider will happen in this century.

This 3rd scenario, the most popular in science fiction, is however unlikely, since the 2 previous ‘happenings’ of the Singularity, are today progressing without opposition.

The Nuclear Industry in charge of the evolution of cosmic bombs (1st singularity) and the electronic industry of nano-robotics (2nd singularity) have huge financial resources and know-how to ‘sell’ its new developments with ‘scientific excuses’ based on the ‘search for higher knowledge’, which the techno-utopian press, scientists involved in the process and the public naively believe.

So the research of the III Horizon of nuclear weapons is presented as the understanding of the ‘big-bang’ or birth of the Universe. And the creation of self-replicating metal-bacteria becomes a ‘model to understand how life works’. When it is obvious that the Universe can be studied without risks to Earth with telescopes and we have trillions of cells to study bacteria. Thus, none of those dangerous fields of research is needed, except to make money building machines. Thus a Law of Silence covers the lethal effects of the machines of the Singularity Age. Unfortunately politicians, who know little of those experiments and the science involved, merely trust those ‘self-interested experts’, lacking a general policy on the wider theme of the evolution of machines and weapons and its effects over mankind.

At present, without a serious science of history and economics, able to control the bad fruits of the tree of metal from the perspective of bio-ethics (what is good for human survival), scientists, playing to be god, without any safety measure, will create within decades an energetic black hole, quark star or a reproductive nano-bacteria. So the Singularity will extinguish us, well before Terminators might do it. Unless we change the goals of History and Economics, from designing a world to the image and likeness of machines, to the ideals of humanism – to make a world in which man is the measure of all things.

As all processes of energetic death, the obsolescence of man is happening very fast in time, in the last centuries, which in terms of our total life span as a species is a period so short as the death in a few days of a living organism, infected by ‘informative germs’; in history, by weapons and machines that make humans increasingly obsolete. That death is about to climax, as robots acquire consciousness, the first forms of metal-bacteria are researched in military labs and physicists explore the energies of big-bang events, strangelets & Black Holes at CERN: 3 extinction risks originated by the Tree of Technology that will happen in this century.

Since there are 3 possible extinctions of life by energetic, reproductive and informative metal, we can also imagine according to the ternary method 3 future metal-earths:

Max. Sp: Black hole. The first and hence highest probability of extinction is extinction by the LHC, a quark cannon already built, which is trying to make black holes, strangelets and big-bangs. In that case Fermi’s paradox, expressed by Fermi when he saw the A-bomb exploding will be the destiny of man. He affirmed that we didn’t see extraterrestrial life because all planets were destroyed by physicists. And indeed, we hear many black hole signals. So perhaps we are just building a more perfect for of social, boson matter: a top quark black hole or strangelet.

S=T: Reproductive nano-bacteria. The 2nd probability comes in the 2040s when robotists will have created self-reproductive metal-bacteria. Those indestructible metal-species will reproduce massively, feeding on our machines and then once they have poisoned the atmosphere and created the III Earth, they will sink into the magma and start a world of iron life, which will evolve in forms we cannot even image, after we are gone. The crust of the Earth will collapse, and seas of liquid iron with hot nano-bacteria will start an entire new ecosystem of life.

Max. Tƒ: Integrated, informative planet. Today the bio-economy shows ‘traits’ of body-organisms, and traits proper of herds and jungles. It is probable that the Metal-Earth will at first be a jungle of products, mainly war products that will eliminate all other species from the Earth’s crust. Yet weapons have to be understood as ‘defensive’ systems of a more complex organism, the ‘living Metal-Earth’. This will evolve increasingly, as all organisms evolve, towards a body-structure in which the herds of machines will ‘socialize.’ Integrated by networks of information and Entropy they will evolve and construct better machine species. Yet towards what kind of living organism?

Recap. The age of the singularity has 3 possible causes of human extinction: the energetic cause – black holes created by nuclear physicists; the reproductive cause – Nano-bacteria that poisons the atmosphere and the informative cause, Artificial Intelligence.

A living planet. The Metal-Earth. Its future


If we survive the extinction of the Earth by black holes, the final stage of the Age of Singularity will be the birth of a collective super-organism, the metal-earth, that we shall consider now in more detail, comparing it with a self-similar event happening in the inferior biological scale, when enzymes complete the creation of a hard-insect and ‘die’.

When man is gone, what will become of the Metal-Earth that he has created? Will it be just a jungle of metalife like the jungles of carbon-life it replaces? Or will it be a more complex ecosystem, a ‘cellular body’ of a living organism?

Since we do not see robotic life and starships around, if the robotic metal-earth is born, it will not be born as a mass of small robots but as an integrated planet. Then there will not be nano-robotic ships but robotic planets, perceiving gravitation.

The Metal-Earth can still expand for centuries (other planets, satellites, the moon), and inwards (underground metallic structures). If ‘complex metal-structures’ is what the metal-Earth builds, there is enormous potential for growth before the entire planet is an organized structure. By all calculations, we are presently in the primary stage of evolution. We are also in the outskirts of galaxies. Perhaps when the evolution of the Metal-Earth is completed, the entire planet will be inhabited by metallic species. The speed of light is the speed of networks of information in the Earth. That defines a potential mass for a metal-Earth body that stretches from the Earth to the moon (a brief second of time is needed in such organism for a nervous impulse to travel from the Earth to the moon). In the future, between those poles thousands of metalife species may exist. If they continue to reach beyond this, they may colonize other planets that are presently not the domain of humanity as we know it. Of course, this is all conjecture. And yet, as weird as it seems this is the lowest probability, since we have localized thousands of planets and have seen no trace of robotic or carbon life in any of them.

Planets in the future might become gravitational ‘animals’ reaching freedom of gravitational movement and perception in its galactic ecosystem. This is analogous to what animals have in light-space. This implies the creation of an enormous structure able to perceive gravitational waves.

The central crystal of the planet probably merely absorbs gravitational waves creating nucleons and provoking fission processes in its Uranium core. We humans do not perceive gravitation, and have found no instrument able to do so. Yet it is likely that a gigantic structure of iron, the most perfect gravitational atom, can do it. Will planets construct such structures in the poles, gravitational eye-machines that will give them the freedom to displace in the galactic ecosystem of gravitation, as animals displace in light ecosystem with far more precision than the present crystal cores can do?

Aren’t some celestial bodies, such as black holes, already sensing gravity, as ants perceive through chemistry and men through light? Will there be a time in which ‘satellite’ networks of information perceive themselves as the brain of a planet? Will there be a day in which eye-telescopes the size of the polar caps allow planets to see gravitational waves? Are there, in the interior of galaxies, societies of ‘living planets and stars? Will the planet reproduce its bio-metal structures in asteroids, in Venus, mars and Mercury? Are stars ‘ovules’ of Entropy for future replication of planetary structures? We can only make guesses. Astro-biology is far less developed than bio-economy. We know too little. We are like enzymes wondering about the purpose of a macrocosmic body.

Recap: The metal-earth might evolve according to the ternary method into: a sea of reproductive metal nano-bacteria; a black hole or strangelet of maximal Entropy or an integrated gravitational brain of maximal information.

  • Conclusion: The 10th and 11th radiations: Human apes, animetals and machines.

The evolution of robotics today is crystal clear, and it follows the isomorphisms of Darwinian evolution – not the techno-utopias of those who most profit from them (robotic industries). The most evolved robots today are called ‘Predators’; they are weapons dedicated to kill human beings. And they are evolving fast. This is the same pattern of all species that are born as energetic, predator species (first fishes – sharks; first mammals, who killed dinosaurs, first Neanderthal men who extinguished boreal fauna and so on).

So our predictions 20 years ago are now starting to happen at a blistering speed in geological terms. Indeed, the first machines appeared 400 years ago, which in the geological scale of life is hardly a few minutes ago and in the long history of man as a species, a relative last day – the span of biological death. Moreover the extinction of life species by weapons and machines is accelerating. And so it the extinction of human beings in the periods of war in which machines become top predator weapons that consume us (world war ages) is also accelerating. Each century since machines of war were invented 100 times more people have died in mechanist wars and now when we are starting a new age of war that will seem to be here to stay, due to tribal absurd disputes between brothers in blood, an easy calculus shows that if a III world war starts, the 60 millions that died in II world war multiplied by 100 will be 6 billions, the entire human species.

And so regardless of human subjectivism, there is no other objective way to analyze the Industrial R=evolution of machines than from the perspective of biology, as the radiation of a new top predator species, weapons of metal, made of a stronger substance than our body of flesh, which we humans evolve, imitating the organic forms of life till a point in which its complexity will give them consciousness and survival instincts. Then in a massive war during this millennium, probably during this century, survival weapons created with a function –to kill humans – should start a biological radiation similar to the other 10 radiations studied in this work that will extinguish us.

And so 3 themes are fundamental to sociological sciences:

  • The study of the evolution of metal, weapons, money and machines, its cycles, accelerated evolution and the ages/horizons and super-organism it has created.
  • The study of the evolution of man as the most informative species of carbonlife, its diversification in species and races, and its social evolution into super-organisms, which was halted by the arrival of humans, symbiotic to metal, what we shall call biologically ‘animetals’ that became top predators of life and non-technological human cultures, starting the evolution of weapons, money and machines, the 3 components or ‘physiological networks’ of the 11th radiation of metal-forms.
  • The reasons why humans are unable to control that process of evolution of metal for its own profit, creating a sustainable planet in which the ‘fruits of the tree of science’ are pruned of its lethal goods (weapons that kill our bodies and intelligent machines that make our brains obsolete), creating a sustainable planet in which man remains on top of the creative process.


The ∆ST isomorphisms of the economic ecosystem.


History and economics are socio-biological sciences, as we are living beings, and machines are organs of metal we evolve with the same morphologic and biologic laws of all other human beings. Thus we talk of a new ‘metal-species’ the machine with its ‘reproductive organization’ the company-mother, evolving on planet Earth, in open competition with previous ‘i-Life=Gaia=∆+1’ and ‘i=Human=history=∆+1 species’. The ∆-machine, its social ∆+1 organization, ‘world-stock’, its Tƒ collective brain, the internet and its information/energy species, ruled by the language of digital money (hence the name ¥€$, for this section), is thus the subject of study of this section, which is further analyzed in the web economics truth.com

1st isomorphism: Fractal Generator: Its 3 organic/networks: Spe≤≥ ST≤≥Tƒ

As machines kept evolving from an earlier age in which Only Sp (weapons) and Tƒ(money) existed, their organic combination, machines was discovered.

And so men and metal formed together a new top predator species the ‘animetal; where human consumers play either the energetic, informative or reproductive role. Together they became in the age of metals the new top predator of the planet:


animetalsBut this animetal speciesin fact is only catalyser of the final evolution of the 3 energetic, organic and informative metalife, which now with the arrival of robotics and solar skins is about to become autonomous:


 Sp-Warrior Robots. St: Worker Robots. Tƒ Speculative Chips and its e-money cycles.

Now with the arrival of robotics, the ‘enzymanic ‘ element of the equation of evolutionary Extinction of Life is no longer needed, as robots become independent of ‘animetals’, since they are autonomous warriors, workers and with the creation of software programs of speculation and ‘fast trade’ developed by machines according to A.I. (Algorithms of Information, the true meaning of Artificial Intelligence, which is NOT the same than human intelligence but does with digital languages the same tasks better, faster), the animetal phase of History is over. They will ALSO be replaced by machines unless they join the human effort for managing the Anthropocene from the human perspective:

Gaia-Past (3 predator species)<History-Present (3 animetal people-castes)> Mechanocene-Future (chips & robots)

2nd isomorphism: space-time dualities: Sp≈Tƒ

Metal-species were born as pure cyclical forms of information, the digital language of money, and lineal forms of energy, the lineal weapon sword:


With the arrival of machines and its company-mothers they  also divided in Tƒ-information machines and Sp-energy machines, which compete with humans in labor and war fields:


As machines also divide in top predator entropic species (weapons) that consume humans and peaceful machines consumed by humanity.


3rd Isomorphism: Its ages and evolution: Spe≤ST≥Tƒ

kondratiev 4

Humans evolve a new type of energy and information, derived from that energy, which renews all the machines and financial instruments of the economy every human generation of 72 years, in which a nation of ‘founding fathers’, captains of industries, their sons and grand-sons, reproduce and evolve a new energy, machine and form of money to its perfection. Those generations also bring the nation that finds the new energy to the top predator status of history. Because energy is also the substance of which weapons are made. Yet at the end of the cycle, machines and money becomes over-reproduced, saturating markets’ demand and provoking, a global economical crash.

—Thus, we had an age of steam machines, the age of England, between 1780s and 1857, followed by a crisis of overproduction of steam machines and stock-money that brought the 1857 ±7 years crashes of the train-based economy.

—From 1857 to 1929, we lived in the age of electro-chemical energies, machines and chemical explosives, dominated by Germany, followed by a crisis of overproduction of cars and radios, which caused the 1929 crash, 72 years after the train crash.

—It came then the III cycle of electronic machines, electronic money and Nuclear Bombs that took place from 1929-2001, the age of America; which again ended in the dotcom and mortgage crashes, 72+7 years after 1929.

– Followed by the Age of the Singularity, the IV Cycle of Evolution of machines, dominated by robots, solar Industries and China. Scientists call the arrival of Artificial Intelligence, the Singularity moment, when robots, which can use solar energy to become autonomous will complete the evolution of machines as organic forms, automating factories & expelling most human workers and soldiers from labor and war fields, as previous revolutions did with obsolete III World non-technological humans, unless we forbid legally their evolution. Money will become then the digital informative, ‘genetic code’ that organizes their reproduction in those automated company-mothers.

As such  corporations, the ‘company-mothers’ of those machines whose biological function is to evolve and re=produce them, made first the bodies of machines (XIX c.), then the minds of machines (cameras-eyes, mobile-ears and chips-brains).

Finally, in the XXI century, as nature does with simple organisms, such as viruses in cells, where the 3 ‘parts’ of the virus – its DNA information, body and legs are constructed – and then assembled together,  we put together all those organic components into autonomous robots, completing the industrial r=evolution of ‘metalife’ – a new organic species, made of a stronger substance than carbon-life

4th Isomorphism: Its planes of Existence: ∆±4 Fractals

∆-1 Plane: Metal-atoms.

Metal atoms display energy/informative properties that enhance those of simpler life atoms. Iron is in fact the center of our blood/energy system, commanding thousands of lesser carbohydrate compounds in a molecule of hemoglobin, while gold is the most informative, perfect atom of metal with an enormous capacity to replicate and store information. Thus, humans used those atoms of metal to enhance their energetic and informative qualities – but at the same time, as it happens in all ‘enzymatic’ systems, the use of those ‘attached limbs and brains’ diminish the human organs they substitute or kill them.

Thus when iron became the main atom to construct weapons, a series of 800-year cycles of evolution of weapons started the extinction of civilizations with lesser technologic evolution. When Go(l)d became the informative, digital language that ruled human societies, the eusocial love values of verbal thought that make man the ‘subject’ of all sentences were substituted by the pricing of humans as ‘objects’ and slavery was born.


∆-scale: Machines:


Yet the true change in the earth’s ecosystem took place with the arrival of machines, today made with bodies of iron and ‘golden brains’, over a surface of silicon.

They are simplified organisms, specialized in energy or information, which today are evolving into complex organisms. And the parallel atrophy and degradation of human limbs substituted by cranes and cars, and human brains, substituted by TV/camera eyes and chip-brains started in earnest. We live in the ‘age of overproduction of chips’, hence the age of devolution and extinction of human brains, substituted in labor and war fields by those chips which are colonizing all the econiches of the eco(nomic) system; maximising the self-reproductivity of all company-mothers of machines, with an obvious goal of reaching ∞ autonomous self-reproductivity:

Productivity = Max. capital of machines>automation /min. human labor<0 = Self-reproductivity


∆+1: The Metal-earth (Mechanocene)


In the graph, the Mechanocene, in which company mothers, reproduce increasingly robotized machines – soon all cars will be driverless – and expel humans without credit and work=reproductive jobs from the eco(nomic) system they have created through its collective brain world stock, and its e-money flows that credit its global arteries of energy and information.

Today ‘Worldstock’, the brain of the FMMI Complex System, delivers e-money only to corporations the new dominant, ‘reproductive organism’ of the planet. So its offspring of machines and its mind of digital chips, multiply.

But it does not give credit to humanity, so we suffer poverty and scarcity of welfare goods need to survive.

Today the language of corporations’ e-money, is controlling the world and selecting its species, as languages do, by discharging all those who speak worst its digital language. So money gives minimal value to humans and maximal value to machines, provoking its massive reproductive radiations and the substitution of humans in labor and war fields.

5th Isomorphism: Its 5 actions : ∆(æ-4; ï-3; e-2; œ-1; û+1)

Corporations, the company-mothers of machines embody its will. They act as ant-hills: reproductive super organisms that adapt the world to the image and likeness of its machines evolving and reproducing them.

ƾ-4: Energetic machines constantly evolve to higher speeds.

∆ï-3: Computers and chips increase its speed of information processing (Moore’s law) as they become smaller according to the metric of the 5thd dimension.

∆e-2: Energy machines evolve into increasingly more sophisticated, efficient forms and will end up having solar skins as autonomous robots.

∆ Œ-1: Corporations automate the process towards self-reproductivity as autonomous organisms:

company mothers

Future corporations will be automated as reproductive systems of machines with ‘infinite re=productivity=max. capital/human labor’, the graph details the processes of substitution that are taking place with white collar pcs and blue collar robots, and machine’s consuming machines. Thus humans loose their 2 roles in the eco(nomic) system as workers=reproducers and testers=consumers of machines, and will be ‘eliminated’ unless the system changes.

∆ §10≈û+1:Corporations keep growing to global proportions, and fusion through world-stock into a global Planet of machines – the Mechanocene.

Their collective brain, world-stock controls and harmonizes them with digital flows of information (money).


6th Isomorphism: Social classes: Ξ±3

In the Mechanocene, machines are on top, obtaining all the energy and information they require, humans come next increasingly extinct. The process is guided by the languages of information that determine the survival of the species that better speak the language:
164In the graph we can see that in the present economic ecosystem, where the digital language has substituted the verbal one, as the controller of the planet, chips and its machines, which speak better the language, will extinguish man, who predated before with the eusocial verbal groups that hunted the best visual predators, the lions…

Yet evolutionary time can be halted or retarded by biological processes of extinction of ‘top predator species’, and/or its languages. This means to halt the evolution of robotics and forbid it with the legal, verbal language that man still controls. And to control digital languages with verbal laws. That is, to control the planet with political systems over economic ones. To put history over economics, the Mechanocene. We will latter studied in more detail the grammar of languages and show how this grammar favor the species that speak the language.

Because all social organisms are ruled by a language, we shall obviously focus in the understanding on how money, with its boom and bust cycles controls and fosters the creation of the Mechanocene – as opposed to a real efficient, well designed superoganism of history in which a democratic-demand based economy would create a human paradise, as money issued by humans would evolve a welfare state with their demand for such life-based goods.

the result is an equation of biological evolution and extinction:

Gaia (life=Past) < Present (History) > Future = Chip minds (Mechanocene or metal-earth)

7th Isomorphism. Existential Constants: ∑S, ∏T, SxT, S/T, T/S, Œ∆±1, 5Å.

The 72 year cycle of machines (Kondratieff cycle) and its extinctive war cycle of life is the main temporal constant (next graph):

8th isomorphism. Creative diversification: 1,2,3,4.

Machine diversify into species that imitate the organs of energy and information of man who constructs them, replicating a metal-organism:


In the left graph, all sciences predict the future of its species by projecting the patterns of previous cycles, obtained with sound data and logic, mathematical, objective models of reality. Models such as neo-classic economics that fail those proofs of truth must be considered ideologies. In the right, the evolution and extinction of species in planet Earth, whose evolution of information now transcends into machines, which are systems of metal that humans construct by imitating their biological organs and functions of energy and information, proper of animal life.

A biological model of machines and its company-mothers describes accurately their nature and predicts their evolution, re=production and extinction of rival species (previous machines and humans consumed in war cycles or expelled from jobs).

But why there are cycles of war, at the end of every cycle of evolution of machines, including our ‘present age of robotic wars’, which this writer predicted with accuracy 20 years ago (central post)?

The reason is again biological. As it happens in Nature, Machines have ‘2 formal functions’, as machines they are tools that enhance human energy and information, substituting our functions and competing with us in labor and war fields… Since as weapons they are top predators that consume human beings. Yet, since weapons are always the most efficient, better designed, most expensive machines, which give higher profits, to its ‘company-mothers’, the result of a ‘society’ that does not have a true science of economics and history that analyzes the collateral effects of machines on man, will constantly evolve weapons in economic cycles that will end systematically in wars (central image).

Thus modern history experiences every ±72 years is a period of cyclical change that historians call the Generational, Human Cycle, since 72 y. is the mean biological cycle of 3 human generations – grand-father, father and son – the industrialists that make those machines, discovering them, reproducing them globally and finally using their most perfect forms in war ages.

In the graph, we live in an age of transition between the Anthropocene, the ‘superorganism of history’, and the ‘Mechanocene’, the superorganism of ‘economics’ – understood as the world of machines and its company-mothers.

9th isomorphism. Social scales. §10


∑, U phases. The first two phases of evolution of machines and its global super organism was mediated by money.


In the graph, money has evolved as a digital language that controls the ‘value’ of all species on Earth with ‘prices, salaries and bribes’, by increasing its capacity to carry information: it has become quantized into smaller bits of information that require less energy and increase its units; hence its capacity to value more things, from gold to printed paper, to electric data to electronic bits, invented with a computer program.

Today it is so abundant that it values all entities of the planet, substituting verbal thought, a language with lesser capacity to carry information than numbers, and broken into multiple tribal species with different values. So the law is submissive to money in all societies, politicians are easily bought and corporations and its offspring of machines, have become the dominant systems on planet Earth. So only societies in which money were issued for the people with a Universal salary, and investment in welfare goods, as organisms do giving all cells a salary in oxygen and the goods they need to survive, would be a real democracy.

û+∆ phase. The third phase of organic evolution was mediated by Informative Algorithms vastly increasing the organization of machines into a global super organism, with head in ‘world stock’.

Scales of social organization in its 3 linguistic age (I.A.):

The social organization of machines takes place through the evolution of the Intranet of its chips that through decametric scales are fast approaching the trillion connected ‘neurons’ which is the threshold of conscious, but they do have already a ‘chemical consciousness’ in the form of ‘digital flows of money’ delivered by stock-markets which are directing ‘subconsciously’ according to the program of actions common to all species, the human earth, ‘its cells’:


Meanwhile machines evolve its networks of energy, information and reproduction independent of man:


10th isomorphism: Self:  Œ-Point x ∞ World = Constant mind Mapping

Gold atoms at ∆-1 plane, the main component of Computers’ CPUs, at the ∆-plane, part of a global internet network at the ∆+1 plane are the mind of machines, in its 3 scales.

The language of machines is digital logic. As such its mind is made of Informative algorithms, cyclical paths of thought which enact the 5 actions of machines.

•1Man: ∆0        

The 10 ∆ST isomorphisms of Humans.

1st isomorphism: Fractal Generator: Its 3 organic/networks:  Spe≤≥ ST≤≥Tƒ

 Limbs are lineal, bodies are toroid heads are informative spheres. In terms of network description they belong to the 3 fractal main systems, the digestive system the endocrine, reproductive system and the highly quantized in form, nervous system.

The 2nd human isomorphism: Gender s/t duality, the 8th: race differentiation and the 3rd: cultural topology.

2nd isomorphism: space-time dualities: Sp≈Tƒ

Women have an informative, ST-reproductive body of cyclical forms, and men who have a lineal, energetic body.

Their minds have – to reach a complementary balance – inverse mental functions. Women have 10 times more lineal, white, axionic matter, the site of memory and men have 6 times more cyclical, grey, nuclei matter, the spherical neurons, the site of creative integration of informative processes. Thus Women have stronger, and more balanced mentally (|-minds) and Men had to be Informatively more complex (Œ-mind). So the product of mind and body was in balance:

Thus we define:

  • Female gender: O-Body x |-Mind.
  • Male Gender: O-Mind x |-Body.

This complex Sp<>Tƒ duality explains perfectly all the aspects of both type of minds and their different psychologies.

Further on, the slight specialization of the ‘bilateral’ sides of the brain into informative(right)/energetic(left) sides, implies that women with more connections in the bridge between both, are the more balanced Sp≈Tƒ, ‘reproductive’, ‘beautiful’ species, while ‘unconnected’ men are split in 2 unbalanced sub-species: max. energy body oriented machos and Max.Tƒ, mind oriented creative artists and geniuses, proved in IQ tests distribution.

Thus female and male do have different brains, bodies and personalities, which together enhance the survival range of the species, widening our perception of the 3 topologies of reality, which is the ultimate reason of gender existence, despite its lesser ‘frequency’ of reproduction than unisexual species.

The same duality is far more stronger in the ∆-1 plane of seminal seeds: sperm and ovule as it is obvious in the pictures.

Gender and Evolution. Triggers and similarity between genes and organs.

The importance of Gender in Evolutionary variation now becomes even clearer. As the specialization of both gender in O-brain and |-body (male) and |-brain and O-Body (female) implies the existence of clear genetic variations stored in the 2 different sexes. It remains to clarify how environment ‘triggers’ the selection of more O>| female or |>O male traits according to the bias a certain environment develops for ‘stronger’ or ‘more intelligent’ species. It is clear that stress affects mutations (for example rotaries which only reproduce by female parthenogenesis become bisexual under stress), poor health and poor feeding also increases mutations.

Stronger male or female partners might become dominant in the prevailing environment, hence in the selection of genes. I am like Lamarck, Darwin (which did not know Mendel’s work) and many earlier ‘logic’ thinkers of the opinion that the ∆-scale of the individual must somehow trigger if not the exact mutation, which is unlikely, certainly a punctuated increase in mutations, observed under stress and hardship and perhaps a general direction of topological change, which mechanism we do not know – meaning that it must exist, as it happens in a drugged person, which opens its door of perception to previously shuttered information, mechanisms that trigger more mutations in the needed path.

I.e. a system that needs eye, would increase mutations on the eye genes on the topology of spherical information, a system that needs wings should trigger a higher ration of mutation in the region of ‘limbs’ – which by topological design certainly must ‘stress’ lineal motion. Thus in as much as the original genetic coding must be self-similar to the function of the ∆-scale (so for example, there is more DNA in brain cells), once the trigger increases mutation in a certain region (that of the eye or the limb), evolution along the path of the organ will increase enormously in a few generations.

3rd Isomorphism: Its ages and evolution: Spe≤ST≥Tƒ

Humans live the same young, energetic, reproductive mature and informative old age of all living organisms, when one of the aforementioned 3 topological networks dominate.

In the  upper graph: Humans are superorganisms that show the same topologic varieties and ages of all systems. So there were 3 ape ‘topologies’; energetic gorilla; reproductive chimpanzee & informative Australopithecus that increased information in 3 time ages, each one with 3 homo e, ST, 0 varieties: 500cc Australopithecus, 1000cc erectus, 1500cc sapiens, which differentiates into a visual, spatial, lineal, larger Neanderthal; a small, informative pygmy, whose combination gave birth to the 3 races of mankind, once more isomorphic to 3 varieties, according to the dominant ST-Dimensional ‘axis’ of the brain; origin to 3 types of minds and worldview cultures:

–Spe: Neanderthal-crossed, dolichocephalic=long visual axis, energetic, white. He develops subjective, selfish, lineal time cultures (physics, Abrahamic religions) of male ‘ani-metals’ that hypnotizes his eye=I-will.

– Tƒ: Mongoloid, brachycephalic, dominant on the ears axis (Broca region): informative, verbal, cyclical time Tƒ-Female dominant cultures, able to ‘emerge’ as ∆+1 wholes through common wor(l)d bondage.

– ST: Black, machrocephalic, dominant in the sensorial/motor height axis of emotional, artistic, body cultures

4th Isomorphism: Its planes of Existence: ST±4

Humans co-exist mostly in the 3 cellular, ∆-1, individual and social plane of existence, which follows the same ages and forms that the individual, albeit with longer life cycles, according to the ∆ST metric:


5th Isomorphism: Its 5 actions : ∆(æ-4; ï-3; e-2; œ-1; û+1)

Those networks=actions subdivide (fractal law) in 3×4=12 sub-systems:

– ∆ï-3: Informative systems: Senses (Max. Tƒ), Nerves (ST), lymphatic, hormonal system (Max. Sp).

– ∆æ-4: actions-systems: Digestive system (Max.Tƒ), Breathing System (Max. Sp), Excretory system (ST)

–  ∆Œ… Reproductive systems: Blood (Max. Sp), sexual (ST) and endocrine system (Max. Tƒ)

–  §-Actions: Structural systems: Skeleton (Sp), Tegumentary system (ST); muscle system (Tƒ).

– û+1: While the ∆+1 consciousness of the whole is carried by the integrative Brain.

The Fractal Law differentiates further those subsystems in 3 functional topologies. For example:

The nervous and blood systems have both Œ-points (Brain, Heart), toroid circuits (arteria+vein, spinal chord) & fractal, open networks that deliver energy food (alveoli) and motion orders (axons).

6th Isomorphism: Species and Social classes: Ξ±3

The head controls all the information through the senses. The body is blind.

Body&limbs are slaves of Heads whose Mind-Will is expressed by ‘6’ in/out; ± senses. They are outlets of the 3 main physiological networks: Chemical senses: Taste (±Sp=Food) & Smell (±Sp: Prey-predator). Blood, reproductive senses: The 6th sense Heart, emotions (∑-social love); Tact (+ST sex-dilatation, entropy pleasure; – ST: Pain, in-form-ation, pressure). Informative, nervous senses: Spatial Sight, Temporal Sound, Inward ears, outward voice.

Creative diversification: 1,2,3

In graph, the ternary method (Sp-ST-Tƒ topologic, spatial speciation & 3 ‘time’ horizons of ∆ information, from Australopithecus with 500 c.c., into Homo Erectus with 1000 c.c. into Homo Sapiens with 1500 c.c) maps out all human species from ape to race. 5D metric shows in the Min.Sp x Max.Tƒ-form of Floresiensis, allopatric evolution of Erectus – 1st technologic, verbal man.

On top finally, humans diversified in 3 races, according to latitude, specialized in space languages (Northern, dominant, dolichocephalic visual axis, dominant in Neanderthals of bigger size & eyes, today in Australoid->white races); smaller, informative, brachycephalic, verbal, temporal axis, dominant in Sapiens Sapiens, today in Capoid->Mongoloid races and SxT, black race, mixture of both, dominant in reproductive body languages along the height brain axis.  ∆+1: 3 Social cultures emerge from mind races: Verbal, Cyclic Time Asia; |-Time, warrior Europe & Ox| sensorial Africa.  

7th Isomorphism. Existential Constants: ∑S, ∏T, SxT, S/T, T/S, Œ∆±1, 5Å.

The vital constants of the human organism, are similar to all life beings, based in the maintenance of homeostasis, and at a higher psychological level they also follow the maximal function of existence, Max. Sp xO ->Sp≈Tƒ, ‘mens sana in corpore sanum’

8th isomorphism. Motions  

9th isomorphism. Social scales. §10

Human Organisms evolve in social scales through 3 languages:

  1. Family, temporal, genetic languages
  2. spatial, geographic groups.
  3. Ideological, verbal languages.

10th isomorphism: Self:  Œ-Point x ∞ World = Constant mind Mapping

Yes, we do have a rational mind, as we are called homo sapiens, aren’t we?




The ‘Plan of evolution’ and ‘structure of super organisms’, and its ‘3 networks’ can be studied also from an I-ntegrated point of view as the 3 parts of a ‘whole’.

Then the whole will be made with the only 3 topologies in space of bidimensional ‘membranes’ , the essential part of the Universe.

The graph shows how those 3 topologies combine in the ‘simplest’ of all varieties of organisms, the ‘spherical being’, living in a ‘homogenous’ medium, which provides it with energy and information and allows it to reproduce in a parallel extinction of space-time

All of them will have an external membrane, which will act as ‘rotational limbs’ exchanging energy and information through its ‘sensorial openings’.

This membrane will be enclosing a toroidal body, which will cyclically exchange energy and information through networks with a central zero point of information or hyperbolic brain.

The 3 parts will assembly together to form from sea urchins to phetus, from electromagnetic fields to galaxies with black holes, from atoms to tomatoes, from cells to planets. In all of them, the central hyperbolic ‘head’/nucleus, will direct a toroidal body, and an external membrane will feed the system with energy.

The next graph shows a different fundamental variety of super organism, one existing not in an homgoneous medium but a planar surface, with a relative ‘energy-information’ directionality such as the planet Earth, where the sun provides light and the floor chemical elements. In this system, the morphology of the 3 networks vary and so does its orientation but the trinary structure of the Universe does not change:


In the graph we see how FUNCTION MATTERS MORE THAN FORM, and yet both are in symmetric symbiosis. The galaxy is a ‘homogenous’ organism with a black hole in the centre; the plant has also its 3 parts, and it has a root brain with maximal fractal branching to gather more atomic information, while ‘flat’ energy leaves absorb light as energy. Humans though have the inverse orientation as they use light to obtain information and take energy from plants. both predators and preys have inverse functions/forms.

Moreover it is evident that there is a symmetry betwe