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Γoreword:  5D² T.œs.

  1. Generator of spacetime organisms.
  2. ®: the 10 Disomorphisms of spacetime beings, mirrored by the generator.
  3. ∆±i: Generators of physical, biological and social systems.
  4. Å: Generator’s sub-equations: Actions of all scales of space-time beings.

Foreword: T.œs

open ball t.oe

The fundamental element of any system is its vital energy, enclosed by a 2D angular momentum-membrane self-centered into a 1D singularity, establishing the essential equation of all systems: 1D singularity + 2 D membrane = 3D vital energy, and the 3 conserved ‘fractal quantities’ of any super organism of space-time, angular momentum (2D membrane), lineal momentum (motion of the singularity) and energy (volume enclosed and managed between them).

This is the simplest structure we find in all scales of nature, from atomic systems with an electronic membrane and a nucleus singularity enclosing fields of gravitational and electromagnetic energy, to cells with protein membranes, DNA singularities and vital energy enclosed in cytoplasms, to nations, with a hard-military border, a capital-singularity and a vital energy of middle working reproductive class, to galaxies with a halo of strange, dark matter, a center of top quark black holes and the stars, mitochondria  that reproduce them both, to yourself with a sling membrane a nervous brain singularity and a reproductive body.

The simplest mathematical representation will be then a 3-D volume of an open sphere, constrained by an angular momentum and beating at the rhythm of its singularity clock of frequency=1/t.

Yet when we extend the system to different scales of reality, from the ‘o-1’ unit sphere into the 1-∞ larger world, we need to add the ternary structure of systems in 3 planes of existence, described in the next graph:

In the graph, the Universe organises itself in co-existing scales of relative size in space and speed in its time clocks of information – a structural property that determines its organic nature, as those scales become symbiotic to each other, sharing through networks flows of energy and information. This fractal organic nature of reality was intuitively understood by all philosophers of science, which from Aristotle to Leibniz and Einstein conceived a pan psychic vital Universe, and man made to its image and likeness. But science did not have a proper formalism of its organic, fractal structure till I discovered it in the milieu of system sciences, a metric equation of the scalar space-time dimension of the Universe, applying it to the study of all systems, including human societies and machines – a task carried out in this blog. The metric equation of the fifth dimension of space-time  is simple as all space-time metric are: S (size in space) x T (speed of time clocks) = Constant. So smaller parts have more speed of time clocks which carry its in-form-ation in the form and frequency of its cycles, coding larger systems: genes code cells, memes code social organisms and particles’ quantum numbers code physical systems. But larger forms have more spatial energy and enclose and control in synchronicity its faster smaller parts, creating the co-existing scales and symbiotic cycles of super organisms in any ‘stience’ of space time organisms. It also allows systems to travel through its scales by growing in size, while diminishing in time speed, as we do from birth as a fast reproducing seminal cell which emerges with slower clocks as an organism, part of a superorganism, mother earth, which has even slower geological cycles:

Thus to the ternary symmetry of the 3 fractal conserved quantities that structure fractal space-time organisms, we must add the ternary symmetry of relative past, smaller faster micro cells/atoms/individuals, which code with its information and generate larger beings, with less speed/informative capacity, which enclose the whole being during its ‘present’ existence but explode and desegregate in the moment of death, establishing 2 new dimensions of space-time, and defining a world cycle between generation in the ∆-1 seed scale and death back in the entropic death of the whole membrane. It is this whole system described both in topological space through the 3 adjacent parts conserved, in scales through the 3 co-existing organizations at cellular/atomic, thermodynamic/individual and ecosystemic/gravitational scale and its 3 ‘time ages’ between the ∆+1 generational phase, which gives birth to 3 periods of dominance of limbs/motions or youth, reproductive body waves or maturity and 3r old age of informative dominated by particle-heads, and the ∆-1 entropic death what the Generator equation describes in a synoptic manner, unifying all forms of reality. In the next graphs we express all those elements together focusing in the generator equation of the human being:

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.

In the graph, the human being defined in terms of its generator sub-equations as a super organism of 3 networks (left) or a world cycle from past to future (right). ALL WHAT exists is a space-time super organism made of 3 topologies adjacent in simultaneous space, defined logically by a fractal generator of those 3 only topologic varieties, $p: lineal limbs/potentials/territoriesO-§ƒ: cyclic particles -heads-informative class, for all social, biological and physical systems, tracing a world cycle of 3 time ages symmetric to those 3 ∆º spatial ‘physiologic/topologic /social networks’ made of ∆-1 cells/citizens/matter particles,in which each of the physiological networks of the system dominates the super organism: the limbic motion/potential system dominates the first age; the re=productive body-wave systems the second age and in the third age of information the head/particle/informative people-caste dominates the physical/biological or social system, exhausting selfishly the energy of the vital body-wave, and provoking its explosion back into entropy that erases the system, completing its zero-sum world cycle, restarted if it has generated a clone super organism in its offspring, reason why the Universe is a reproductive fractal of information – only those systems that reproduce its information survive and still exist.

 We conclude that 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 ∆§ocial scales.
  • Topologically in terms of Spatial transformations.
  •  ðemporally in terms of a conservative zero sum world cycles.
  • @-Mentally in terms of languages that process all that information from a biased point of view.
  • <≈> Vitally in terms of the organic symbiosis of all its elements.

That’s all what it is to the Ultimate principles of the Universe. The rest, all of us are its details.

Humans of course, will always want to be more to please their ego paradox but that is the essence of reality that can be known, because we are all made to its likeness – a variation of the fractal S@≈Δð Universe, where, even the smallest part is a world within itself where all the laws manifest – an island Universe.

And so even if total information of the Universe in its details can only be extracted from the being in ‘itself’ through time – within us we have the whole reality to know skipping the variations of which we can only fully see ours.

In a more formal way the Universe is a fractal super organism made of…

  •   Asymmetries between its 4 Dual components, which can either annihilate or evolve, which we shall call Balance≈become symmetric or become Perpendicular/antisymmetric:
  • S: space; an ENSEMBLE OF ternary topologies, (|+O≈ ø)… which made up the 3 physiological networks (|-motion/limbs-potentials + O-particle/heads ≈ Ø-vital energy) of all simultaneous super organisms
  • ∆: Planes of size distributed in ∆±i  relative fractal scales that  come together as ∆º super organisms, each one sum of smaller ∑∆-1 super organisms… that trace in a larger ∆+1 world…
  • ðime cycles:  a series of timespace actions of survival that integrated as a whole form a sequential cycles of existence with 3 ages, each one dominated by the activity of one of those 3 networks: motion-youth, or relative past, dominated by the motion systems (limbs, potential); iterative present dominated by the reproductive vital energy (body waves), and informative 3rd age or relative future dominated by the informative systems, whose ‘center’ is:
  • @: The Active linguistic mind that reflects the infinite cycles of the outer world and controls those of its inner world, through its languages of information, which guide its 5 survival actions: 3 simplex, aei, finitesimal actions that exchange energy (e-ntropy feeding), motion (a-celerations) and information (perceptions) with other beings, and two complex actions: offspring reproduction and social evolution from individuals into U-niversals that maximize the duration in time and extension in space of the being.

Because the scientific method requires OBJECTIVE measure of the existence of a mind, which is NOT perceivable directly, we infer its existence by the fact a system performs the 5 external actions, which can be measured objectively, in the same manner we infer the existence of gravitational in-form-ative forces by its external actions upon massive objects. Hence eliminating the previous limit for a thorough understanding of the sentient, informative Universe. And further classify organic in simplex minds – all, which must gauge information, move and feed to survive, and complex systems, those who can perform a palingenetic reproductive, social evolution, ∆-1: ∑∆-1≈∆º.

The study of those 4 elements of all realities, its actions and ternary operandi, structures the dynamic ‘Generator Equation’ of all Space-time Systems of the Universe, written in its simplest form as a singularity-mind equation:

O x ∞ = K

Or in dynamic way, S@<≈>∆ð.

So that is the game: 3 asymmetries of scale, age and form, which can come together or annihilate and each language represent in different manners, those elements and its operandi.

In mathematics, with the duality of inverse operations, + -, X ÷, √ xª and ∫∂.

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:




Superorganisms in space tracing worldcycles in time. The fractal generator.

Of all those concepts the largest more encompassing one is the super organism made of an ensemble of 3 topologies in space, which will exist in a world cycle of time, as it transits from generation to extinction between 3 ∆±¡ scales of parts and wholes, where the wholeness of being exists through the entire process in the linguistic mind and its still mappings of reality, including the perception of the ego as a still point that never changes.

So once and again, when not in the analysis of details, S, T, ∆, @ and its symmetries and relationships, ≈, will suffice to cast the ‘knot’ of this 5D kaleidoscopic being in existence.

And to that aim we shall use a ‘GENERATOR’ equation, term taken of Fractal geometry, which is the iteration of some simple elements to conform all the complexities of reality. In our i-logic generator, we use merely the ternary | x O =ø topologies, the 3 co-existing scales of the being, ∆±i (cellular/atomic, thermodynamic/organic and gravitational/ecosystemic scales) and the travel that closes a worldcycle of existence, through the 3 ages of time past-motion, present-repetition, future-form ages of time, between social evolution in the o-1 unit sphere (5D generation) and its erasing in the 4Dimension of entropy, back to its ∆-1 state:

T.Œ (Universe) ≈ ∑∏ T.œs (its details) ≈ Γœ:

∆-1: 5D Seed –  ∑∏ ∆+1: Generation – ∆ø: Birth – Youth: |-Spe: Max. time motion ≈ spatial limb/potential/territory<

∆: Ø-S≈T Max. body/wave/worker re=production > o-Tiƒ Max. informative particle/ head/upper class << ∆-1: Death

The previous equation which we call the fractal generator of space time organisms, Γœ will have then finite variations on the same theme, and each of its ‘partial equations’ will express a moment on time, a function/form in space, a scale in which the system is active… Such is the enormous simplicity of any fractal generator, which then multiplies and recombines giving birth to the tapestry of infinite beings. Why humans do NOT understand this? We deal with the phenomena of the human ego, which denies organic sentient properties to the pan psychic universe, putting himself above heavens and earth mostly on the posts on historic cultures; but in essence each of those T.œs is self-centred as an organism caring only for his body reproduction and mind-information, for which it will hunt, kill and absorb the energy of others, for which it doesn’t care. So all egos are blind to the life of the whole Universe.

The world cycle: from seed to emerging organism in a world, back to the ∆-1 plane.

Thus the world cycle in time of a simultaneous §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:

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.

So we start for the fundamental form of the One, its potential wholeness as a seed, or a formed mind-point that generates the acts of the being. the first seed of information; which soon will split through the duality between the space and time phases/parts of the cycle/organism; then the ternary division of its S, st, t physiological networks.

Next comes the four combinations of space time with repetitions, Ss, tt, st, ts; then the 5 dimensions, including now the lower and upper scales of seed state and death state…

We can then consider the 6 species, combination of the 3 physiological networks of the being by hierarchy of power, S-st-t, S-t-st, T-st-s, T-s-st, TS-s-t, TS-t-s.

We can then study with its upper and lower scales, the 3 ±2 ages of the being between generation and palingenesis in the ∆-1 scale, through its 3 ages in the ∆º scale, into its splitting dissolution of its energy back to ∆-1 and emergence in the collective memory of its social scale (from family to man of the world) in the ∆+1 scale; and so we arrive to the 8th isomorphism of the ‘8 baguas’ or decades of a life cycle (for man, different for other stages of being) through its ‘gaseous, moving youth, liquid, reproductive maturity and informative, solid state’ to return to the womb of ‘tao’…

And if we are to measure the being through its growth in social scales, in the palingenetic dimension of 0-1 generation, or its scalar, social world, we shall find a series of decametric growths from 1-10 through the §10°-¹° societies to the trillion cellular beings that create a new ∆plane of existence… the last quantitative≈qualitative, space≈time isomorphism, as we move in scales from the atom-galaxy to the galaxy-atom and beyond, perhaps from the o-| open and closed $ and ð microcosmic strings of space-time to the cosmological ones.

The 10 Dimensional isomorphisms (ab.Ði) applied to the study of each 10Di (5s, 5t) timespace organism, increases formal depth and experimental detail in our study of all the systems made of ∆@s≈t of space-time, defined by its fundamental 5 elements/Dimensions:  @minds, ∆-§cales, $pace, ðime and its s≈t symmetries.

So as a fractal organism can be subdivided in its analysis through its dualities of t-motions and s-forms, into 10 Dimensions, we study 10 similar properties of those dimensions in the dynamic existence of any being and call them the 10 Ðisomorphisms (Ð for dimensions and cyclical time, as it is the capital for eth, ð).

We could say paraphrasing taoism and Greek Philosophy (Parmenides, Heraclitus), or modern quantum probability that from the ‘o-1’ unit sphere of ‘existence’, comes 2, the duality of space-time, expressed in its kaleidoscopic jargons by human beings – the wave and the particle in physics, the conjugate product in mathematics, the genetic code and the protein in biology…. the yin and the yang, the man and the woman; the lineal and angular momentum… you name it and move it…

And from 2 comes 3, the lineal, angular momentum and vital energy sum and product of both, the wo=man and its offspring, the particle, wave and potential… the being in itself, which can be properly described in ternary S≈T, elements, in a single plane of existence. 

But the Universe is not THAT SHALLOW, so regardless of our humind geniuses with its ‘space-time continuum’ in a single sheet, we need the whole and the parts, the upper and lower scales, the points that make the topological beings, the cells and the ecosystems, the finitesimals within and the world outside, the Kantian thoughts in his brain, the starring lights on the sky…

And so we have the 3±1 dimensions that bring together 3 planes of existence, Ξ, into the being, 3 lanes, 3 non-euclidean networks that form the topological organism; and the 3 languages most used in this blog to describe them, verbal thought with its awesome metaphorical capacity to show in a language all humans can understand the Disomorphisms of Nature, the mirror of mathematics, which tunes to fine detail and extract more properties as it is likely the language of the atomic mind alpha and omega, atom and galaxy of those ∞ scales, and the visual language of graphs and intuitive forms.

Wor(l)ds, numbers and images are thus our 3 elementary mirrors to build ‘knowledge’, because the 1=one truth in itself is only carried by the being, who holds all its information, and the being within the world to which it connects; so humans need many mirrors and we have settled for the 3 we have ‘expanded’ with non-euclidean geometry, non-aristotelian i-logic, for maths and words, non-Æ for its visual forms.

So by studying the 5 Dimensions of the being with dualities of space-time and  ‘ternary isomorphisms’ of scales, ages and topologies, all of them properties derived of its 5D scalar structure in space and time we achieve a complete description of any ‘Dust of space-time’, ∆@S=T.


WE start the analysis of the 10 Dimensions of any space time being, in a formal way departing from the monad, either a seed of information or a mind that ‘stiffens’ reality into a linguistic mind mapping as a fractal point (0-1D), which will either move being the element of communication through the larger world or emit a flow of bosons carrying information (2D)… or provoking one of the five actions of space-time that make the being inter-act with the Universe.

And in this manner it will build up a ternary network system or plug into one by reproducing or associating with other similar fractal points.

So the description of this growing creative process guide us dynamically in a ‘sequence’ of discrete steps through the S@-space & mind elements of the being:

0th Ðisomorphism  0-1 D. @… monads are minds composed of a max. still form or linguistic singularity and a cyclical time membrane, connected through invaginations. It is the ‘invisible’ central command of the being, which perceives the Universe’s timespace cycles and stop its motion through a mirror image in the ‘languages’ of ‘the mind’, which then reflect its back ordering reality as it converts its motions into ‘@ctions’…

So we study the form of the monad in space as a linguistic mirror. And inversely from its external perspective with the Fractal Generator equation, Γ, that describes all its elements together, and its ternary symmetries.

Because only within the being itself, there is all its information. And so only within us, the human being, we can explain the full 10th isomorphism, which we shall call the specific generator equation of the being we describe. 

In that regard the inner mind mirror with its subjective self centred o-1 view of reality and its inverse 1-∞ view from an objective external world are the two sides required to know the being. Thus we talk of:

The 1-∞th Ðisomorphism – Γ: Its generator equation that describes its ternary form in scales, topologies and ages as it emerges in time, becoming a unit-point of a larger world where it will perform its actions of existence.

So we study in this post the Generator equations, illustrated then with samples for the 3 FUNDAMENTAL classifications of beings of classic science:


We are thus starting the analysis of the being in its quantitative and qualitative term, introducing the Function of existence or Generator equation of all space-time systems of reality: 


The fractal generator is the formalism of Time§pace organisms…. its best formal language. We apply as usual the Rashomon effect to consider the different 5D, S@≈∆t perspectives of the generator, with slight changes in its naming:

<≈>: A(nti)Symmetry. The Γenerator expresses the whole a(nti)symmetries of the system in scales, forms and motions, being the most complete expression of the generator.

S: Spatial Generator. It expresses the topological ternary symmetry: $<∑>§

@: Mind Gener@tor: It uses non-ælgebra to defines the ternary logic formalism of the Generator and its Group of symmetries.

∆: Fractal Generator: It studies the scalar ternary symmetry between parts and wholes of the system: ∑∑∆-1>∏∆º≥∆+1

ð: Temporal generator It studies the ternary symmetry, between relative past, entropic, present momentum and future informative pure dimensions of time: Ps>ST>ƒt, corresponding to the usual process of growth of information and complexity which allows the system to Emerge.

The generator as generator of other mind languages. 

If we were to use the jargon of mathematical languages=mirrors we could define it as a ‘group’ of 3 operations, ∆§cales, S-patial topologies & T-emporal motions, on 2 inverse elements, ∆-1-past-information  & ∆+1, future-entropy, with an identity, neutral element, ∆º: present, iteration.  Operators are thus real beings, elements flows of time. And their order is given by the worldcycle of existence in time, and the pegged, adjacent ensemble of those 3 elements in space.

But we are not Mathematical creationists or verbal creationists or visual creationist for that matter; as the 3 languages of human perception, also form a ‘fractal generator’ of mind languages, and each of them can be subdivided in 3 elements:

Γ Images: red (motion-entropy) < Green/Yellow (iteration) > Blue (Information); Γ Words: subject (information)<Verb (energy action) > Object (Entropy)…

And so goes for Maths, in its multiple variations. So for example Γ (analytic geometry): Points (space) < Functions: actions > Numbers (time)… Γ(Geometric dimensions): Height (information) < width: iteration>Length (Motion); Γ(algebra): Fy(space)<Operandi: action> Gx ( time).

The conclusion is obvious: above the languages-mirrors of the humind (ab. human mind) there is an even higher language of languages; that of the formalism of space-time, because the substance of reality is not the language-mirror of space points/time numbers, space names/time verbs and dimensions and social colors of light images, BUT the language mirror we are constructing in this blog to perceive better the isomorphic laws of fractal spatial scales and ternary time arrows…

The need of the generator formalism to open the peanut humind ego to the vital universe.

And the fractal generator with its ternary scales, ternary time arrows and ternary spatial topologies IS that language mirror, which we have crafted to make much easier to ‘see it all’ as a whole on top of the summit of the humind which first perceives data, then encases it through languages into knowledge and finally perceives it as part of a whole T.oe through the generator.

Of course, of those 3 languages, each has a different role on the humind: visual intuitive animal perception is the substrata of our data collection; verbal logic, the best language to study the metaphoric isomorphisms between all beings and scales and the inner details of human social sciences, and maths for the larger, more remote physical systems which we under the ego paradox of the ‘homunculus mind -aka big mouth, handyman, peanut brain’, empty of organic properties.

Indeed, if we didn’t have the generator, and used instead the abstract ‘generators of group theory’, we wouldn’t get the simple feeling of the vital Universe, we want to generate on the occasional humind reading here. So we shall have the generator as the ‘ultimate’ conceptual formalism, even if we spark it for fun with concepts of the other languages. Let us then write a ‘Generator’ of the many Kaleiodoscopic representations of it first:

Γ.Œ: Generation: ∑∆-1:> ∆º: $pe <  ∑≈∏ >ðƒ :∆+1 <<∆-1:Death

The unwelcome fact that future is death, entropy, expansion in space sets a high barrier for humans to understand existential i-logic thought as they would like the seminal age of life to be at the end of the cycle. But the five dimension of mental information displaces itself into the o-1 sphere of probabilities to create micro-seeds, well before its final discontinuum, so the construction of a new T.œ happens in the parallel, future displaced age of existence of the son=spatial quanta it left behind.

As the being re-enter the 0-dimension of scattering, entropy and death thus the game ceases to exist for the non-ego T.œ which was a fleeting i-logon eternally repeated in the future present and past.

Since it is the zero dimension, limiting as the fifth dimension between 0 and 1 a template of the entire game written in a smaller dimension, ∆-1 of existence. BIRTH THUS is the end of the 5th ‘certain’ dimension of man as a living being, then we exist in a level which is a ghost that hardly connects and gives to the higher even level of ∆+1 human society, to die and desegregate what was created in birth:

In the graph the topology of the 3 operations of the generator converge in the creation of a simultaneous being in time, which will exist in space as a reflection of those 3 arrows in a 1 to 1 correspondence between its sequential additions of time, and sudden bursts of re-product-ion in present space.

Yet in the iterative, Kaleidoscopic Universe we can make infinite variations of that Generator and use different languages to express it.

For example, the description of any T.œ using math group theory would be as follows:

 “Elements of a T.œ are ternary flows of time§pace and its 3 ∆, S, T operations construct its Disomorphic species, made of sub-equations of the fractal generator”.

And each variety of the Fractal Generator, or t.œ or family of t.œ’s species would be defined from then as a Spatial Simultaneous superoganisms:

 “Frozen, ceteris paribus sub-equations of the fractal generator, with a limited number of scales and 5D² Dimensions, made of ternary ‘elements’ of past, present and future spacetime cycles define different phyla of spacetime beings; which reduced ad maximal in its variations, give birth to an individual t.œ’.

Now this is fairly understandable, but if we were to be pedantic, we could even mix further all the jargons of all sciences, for example, we could explain the world cycle of existence NOT with the simple generator equations as above, but put together, quantum, mathematical, biological and 5D jargons to give you a rather incomprehensible…

Scalar dynamic description of Emergence through Hierarchical, co-existing planes:

“The Generator is first a o-1 seed on the probabilistic quantum finitesimal sphere, which through palingenesis builds a reproductive and social evolutionary topology, where the central singularity will be the first  hierarchical seed, as first in time means first in space; commanding the social evolution of the finitesimal seed into the 1-one probability till the larger being emerges through the dimension of growth, as the 1 to 1 symmetry between population growth in space and sequential, probabilistic time numbers, completes the super organism, which finally surfaces in the identical 1-∞ spatial coordinates as a whole. Then  as time motions ‘ADS’ by the ‘superposition’ principle, the formal dimension of angular momentum of the being and its moving, iterative flows of  lineal momentum, through the ∆+1 word space, the entity reproduces its information through the 3D energy world cycle,  acquiring its vital superposition of its 3 dimensions of space-time,pegged in adjacent topologies, performing a wordlcycle of existence between generation and entropic decay,  at the point of zero time and maximal spatial expansion or death of the system.”

Now, why I start this post, the only one that receives any visits, as I put a comment long ago in a web on holographic new wave bullshit? (: exactly for that reason. We care nothing for the homunculus pedantic ego-trips, for the humind pretentious theories of everything, for the magic of the Universal ‘energy’… for the blindness to the living, ‘simple but not malicious’ Universe, absolutely relative, where all is the same, all is Disomorphic, all is pure beauty, S=T (the equation of beauty being that of balance and symmetry between space and time).

We only care and try hard to make that TAOIST, yin=yang Universe understandable to layman people, who do have the humility and childish curiosity to feel part of that whole, flowing with it; and so we need a NEW simple and not malicious Jargon to express the kaleiodocipic iterative symmetries of the 5D elements of reality, Planes of Space, time cycles, its energy symmetries and mind languages to describe all ∆@s=t of space-time.

We are of course acknowledging and will use specially in the fourth line if I ever have time to finish this 3rd one, (so far only managed to do some serious work on the central post and second line of the blog, with analysis of all main sciences by scales), in-depth studies of ALL ‘sciences’ in the jargons of each ‘sciences’, but and this goes specially for pedantic high popes of mathematical physics, who think the specific quantum ∆-3 scale which is just the virtual limit of humind perception as we are electronic minds that see its ‘feeding energy’, light, IS the ‘key to it all’, THERE IS NOT A BETTER preferred JARGON OF EACH PLANE to show the Disomorphisms of them all, because all of them in an Absolute relative Universe with no preferential scale matter most.

So we do need to build a new jargon of philosophy of all sciences, which is ultimately embedded in some basic principles, expressed with growing complexity as 2, 3, 5, 10 detailed elements of analysis:

-The dualities of spatial form and temporal motions; the ternary generator, of the 3 conserved quantities of local spacetime beings, angular, cyclical momentum, lineal inertia and its energy combinations; the 5 kaleidoscopic views of the Rashomon ceteris paribus effect, S, t, ≈, ∆ and @, WITH its multiple expressions of which the most important are the 5 Dimensional ‘vowel’ actions, accelerations=changes on motions, entropic feeding, information gauging, offspring reproduction and social evolution of individuals into Universals.  and the 10 Disomorphic properties of space-time applied to all beings.

This most detailed analysis of the 10 Disomorphisms of beings thus start with the study of the Fractal generator of them all, which is the theme of this post.


∞ ∆@S≈T

Γ: Spe<ST>ðƒ 

“The universe is a fractal of spacetime that re=produces supœrganisms of energy=entropy x information”.LS

A great deal of mathematical STIENCE has to do with the understanding of the inner structure and non-Æ formal relationships with the fractal generator of the supœrganism, and mathematical physics is not an exception.

The fractal generator is the formalism of the supœrganism. NONÆ LOGIC IS THE SEQUENTIAL AND SIMULTANEOUS SPACE-TIME TOPO-LOGIC laws that allow us to manipulate and study sections of the fractal generator. And so we obtain from it many ratios and relationships.

The study of the fractal generator thus can be done in mere mathematical, reductionist terms, but it is of more importance to study it as a logic-mathematical mirror of the entity in itself, the supœrganism and its ωorldcycle.

Its three elements, both in space (topologies) time (sequential ages) and scales (size/speed), determine the being in its interaction with the ∆+1 world and ∆-1, body.  So we shall always start by studying in a synoptic manner the system, physical, biological or social, through the fractal generator and once we have defined the entity with certain precision, locating it in its domain, age and topology, we can do more precise studies of the being.

As such the fractal generator is in its study a science in itself, as it resumes within it all the laws of ¬Æ that structure the space-time Universe, being a seed of all supœrganisms, ∆§cales and ωorldcycles.

Screen Shot 2016-04-05 at 23.46.26

From cells, to atoms, from planets to galaxies,all systems are enclosed by a thin Spe-membrane that breaks its vital space, and will have a central mind-brain-system of memorial clock-cycles and in between the Ø-body wave that stores the energy of the system. So we do have our 3 fundamental principles of reality, to play with: pure spatial entropy, pure temporal form and its combinations of ‘energy/in-form-ation’ which are entropic motions with a bit of temporal form (energy) and temporal forms with a bit of motion, forms-in-action, informations.

Most scientists think as a century ago, when the new r=evolution of physics – quantum and relativity – was about to start; that the field of space-time theory was closed and yet it was only the beginning…. Today the same feeling seems to be common among scientists. And yet it is only the beginning.

 The problem of scientific r=evolutions (Kuhn) is ultimately the relativity of the Universe and the arrogance of man, which do not mix well. The Universe is infinite and it hosts infinite information; but man is limited by its mind, to fit all that Universe in a linguistic mapping. In a simple equation we could write: O-Mind x ∞-Universe = Constant world. But as we only see the mind-world, we tend to confuse it with the whole, and think it is all.

And this trend has if anything increase as we added the digital mind of computers, with its nice models of reality. So we feel, as computers now can model any complex reality that, as Vatican priests when modelling planets with Ptolemy and its epicycles, because adding more complex equations we ‘see’ a computer model, we know it all.

Then there is the routine, the memorisation of all texts, the scholarship, the self-importance of academic positions, based in what was already known – never on new discoveries. Of all this I am fully aware, reason why i know the difficulty the content of this blog would have to become standard science. Since the theme so new, yet so old and extensive – as it deals with the most important elements of all science, the understanding of the Universe with 2 arrows=directions of future, not only the entropic arrow of physicists, but also the biological arrow of information, and its combinations – that word we constantly use but none fully understand, the 3rd arrow of the Universe, energy – that it will change forever the way humans understand the Universe.

Time indeed has 3 arrows:

Entropy, which we define in a more inclusive form as ‘expansive disorder in space’ (as in a big-bang in a dissolving death, in a fast, lineal motion), which is the only one treated formally by physics, as they have been in the business of making ‘entropic weapons’ and ‘heat machines’ for so long, it was the first arrow they came across.

Information, which we all know is there, but as it was defined loosely by Darwin in his theory of evolution of ‘form’, of in-form-ation, differently than in physics, by Shannon, constrained by the dogma of entropy to analyse only its transmission through lineal waves, NOT its formal, Dimensional CONTENT, which is what in-form-ation means; languishes without a unifying understanding of it.

And finally its combination, Energy; which we do not know what truly is, as it happens all over in all systems of nature, too many to have a clear concept of it but of which we have a formula: motion of a mass, of a form; hence combination of entropy and information. 

We shall thus construct a much more ordered, clean, simple, understandable Universe with those 3 arrows.

There is though another handicap, in as much as physics uses equations first and paramount, so this reduces the generalisation of its concepts. Indeed, the only equation of entropy it has belongs to the world of heat, a chemical reaction, and as physicists are bad conceptual philosophers they have not expanded the concept well. On the other hand each discipline tries to become on top – remember men are self-centred minds that confuse its mind-knowledge with all. So there is another difficulty here to fully grasp it all with those 3 simple concepts, as they have different evolution through Nature and its beings. And so it might seem impossible to fit it all in a single ternary equations with the arrows of time. And yet, that is the first thing that will astonish you:  we can reduce all systems of Nature to a simple equation of the 3 arrows of time and its symmetries with the 3 organs of space that make up all beings. And soon we will show what we mean.

Next comes the ‘other great forgotten’ truth about the Universe, which again confronts the ‘ego of the human being’: the fact reality is structured in scales of different scales of spatial size, from particles to galaxies (in the known known Universe), from molecules to societies (in the human one); and as humans think to be the centre of it all, we really only care that much for our scale, and reject the idea, however evident that all the scales relative. And they are connected by  simple laws relating those 3 arrows of time.

For example, smaller scales turn faster clocks, which carry more information – and here we see the first great revolution of calling information what really is: dimensional form. Thus information is related to the cyclical form of clocks of time, which store the information of the Universe, according to the speed of those clocks, which as we said, paradoxically are faster in smaller cycles, as in computers or atoms, from logic circuits to spins. And vice versa, bigger things are dumber, they are slower but have more ‘spatial entropy’, they are stronger and can disorder any smallish system with its force. You see, we are playing now with the 3 arrows of time, and the 5Dimension of scales of space, and start to see new relationships hardly explored by present sciences.

Those are the 3±∆ elements we will need to reorganise and explain in a much more orderly, meaningful, architectonical way all the laws of science. How long mankind will take to accept a revolution of this size, unlike nothing has happened in a century? Slowly and perhaps never.

We call existential algebra the study of the 3 time arrows and how they combine for beings to exi=st,

Now the simplest of those configurations is the ± head-body-field beat of motion (>field<body<head) and perception (Head>Body<Field), whereas the wave state moves the being and the particle state stops and makes it perceive, or starts a seed of a next generation.

GST departs from a simple Concept: the properties of reality derive from its ultimate substance cyclical space an fractal time.

Those 2 substances, combine into present energetic space-time beings, and so we can write for all beings; a ‘generator equation’ of the three arrows/substances of space-time of which the being is made and then obtain from them the laws, ‘isomorphisms’ or ‘invariances’ that are common to all systems of reality.

In fact all systems of reality can be described as ‘fractal supœrganisms’ made of ‘lineal limbs/fields/moving platforms of spatial entropy’ and ‘cyclical particles/heads/chips’, which store clocks of temporal nformation, joined by an intermediate, hyperbolic space-time body-wave, extending at least in 3 relative ‘scales of size and time speed’ (ab.∆±1). So we can write a synoptic equations or ‘fractal generator’ of space-time beings, which we study in depth in this post:

Œ ≈ ∆-1: |-Spe < ∆: Ø-S≈T > ∆+1: o-Tiƒ

Whereas Œ is any super organism of space-time extending those three scales, the atomic/cellular, organic/thermodynamic and gravitational/social scales, composed of limbs/fields of spatial entropy (|-spe), which extract motion from lower scales or territories (∆-1), feeding a balanced body-wave, Ø-St, guide by a singularity or mind made of clocks of temporal information, Tiƒo (head-particle), which observes and disguise the system through its upper scale, ∆+1 or relative world:

All what we see are super organisms created by the actions of a singularity that synchronise the parts of the being through three networks of entropic, feeding, reproductive and informative, perceptive form; creating ‘still pictures’ of present-spacetime – those super organisms, which a mind sees as a whole, freezing longer flows of in/form/ation, forms-in-action that leave a memorial trace perceived as a separate being, as they perform cyclical events from past to future.

The generator equation is the most used fractal formalism on GST, which portraits all Œ, Oganic ternary systems, in terms of its ‘spatial’, ‘temporal’ and and scalar dimensional symmetries. As we write it most often with the content of its three topological forms, ‘constrained’ by the limits of its ∆-1 scale from where its limbs/fields extract entropic motion, and the ∆+1 world in which its particles-heads obtain information, we consider the generator the best expression of the entity in space:

Γœ: ∆-1>Spe (past-lineal fields/limbs) < ∆º:ST (Present hyperbolic body/waves) > Tiƒ (future informative cyclical particles-heads)>∆+1

This simple sentence encodes the meaning of all systems of reality, made of 3 topological space-time forms/functions, energy, entropy and information, structured across a series of scales of different size and speed of its time clocks.fractal universe

In the graph, all systems of the Universe are super organisms (ab.œ, supœrganisms), but the further away from our perception, they seem to us, ‘less than organic’ because we do NOT perceive all the information which ‘leaks’ and ‘disappears’ as it does NOT cross fully the discontinues between scales with its ‘Lorentzian regions’ of change in the speed and size of the system.

In the graph, the Universe is a fractal that reproduces information. We can see that as any fractal, its structure is discontinuous, made of multiple scales of size, and self-similar in the network form of those scales, and homologous for any ‘stience’ of space-time. Even motion can be described as the reproduction of the information carried by a wave of form as modern physics shows (wave-particle duality, where the particle in motion is only seen as a wave that reproduces its information and relativity, where a light speed is a speed of transmission, hence reproduction of information along the wave path).

Yet to fully understand the fractal, organic Universe we must truly ‘re-start’ the fundamental concepts of the Universe from its beginnings as Einstein and Leibniz wanted. This is the purpose of the fractal paradigm, which unfortunately cannot be completed by physicists, with its dogmas of a single space-continuum and a single time arrow. Since the fractal Universe has infinite scales of relative size, and three arrows of time, whose forms and functions co-exist in organic systems across several of those scales.

The Universe is a ‘self-reproductive’ fractal of information with a fractal feed-back generator equation of three arrows of time-space, whose motion in time and form in space, come together to create the infinite fractal ternary beings of reality:

∆-1 Spe: Spatial, Lineal/planar past entropic limbs/fields/territories ≤ ∆º Space-Time: Hyperbolic, re=productive, Present energetic body-wave/working class> ∆+1 Tiƒ: Temporal, cyclic/spheric Future Informative  particles-heads.

In this logic, fractal generator equation we have encoded truly the meaning of reality, whose complexity will be born of the repetition, variation and ensemble in larger ‘∆-scales’ of wholeness of the infinite beings made of those 3 elements of time, symmetric to the 3 forms of topological space, extended across three relative size of ‘hilomorphic smaller substances – atoms, cells, citizens’ which form whole organic systems (matter, organisms, societies), part of a larger whole ecosystem (solar systems, planets and galaxies, nations, civilisations, world cultures)..

To that aim we must first define time&information on one side, and space& entropy on the other, the 2 ‘elements’ of reality, which are part of an organic, fractal reality of relative scales of size and time clocks that co-exist together into the 5th dimension of scalar space-time.

And once the key concepts embedded on it are properly clarified, we shall write a Logic Feed-back generator equation of scales of space and time  Γ(∆i; Se; Tƒ), the function of existence:


The parameters of ST fields: Speed, density and force of existence.
The previous simple definition of the Universal big-bang cycle shows how revealing can be the Quantic Spaces-Times formalism. In that sense Quantic space-time is more interested in ‘morphological changes’ than in ‘translation changes’ studied by classic Physics. Yet both disciplines use some basic mathematical concepts to formalize those processes of change. The 3 fundamental ones are:
– ‘Speed’, which measures the ratio of change between space and time parameters.
Galileo formalized translation change with the equation of translation speed, V=S/T. In Quantic Spaces-Times fields we use the same formula, V=S/T, to measure ‘existential speed’, the morphological change between the inner proportions of spatial energy and temporal information accumulated by any being, that change with the 3 ages of any space-time field:

Thus the speed of existence is maximum at the beginning of the cycle, in the age of energy or youth, when S>T, and hence V=S/T>1.

In its mature age, the speed of existence hardly changes as the energy and information of the being are in balance: S=T, V=S/T=1.

Next, in the third, old age of the being when information dominates, the speed of existence is minimal, as T>S, and so s/T<1.
Then, when the being goes out of balance, as most energy becomes transformed into information and its speed of existence, Min.S/Max.T, tends to zero, death happens.

So the energy and information of the space-time field break apart and information explodes back into energy. Now the speed of existence cannot longer be measured, becomes a mathematical uncertainty.
energy and time change through those 3 ages, giving way to different e/t ratios for each being and each age.

Those proportions are, in fact, the ‘scientific constants of existence’ of each species, that show the ratios of energy and information of any being, which remain stable during each age, suffering with the transition between ages and specially at birth and extinction an accelerated ‘peak’ of change. Those constants do exist for the physical systems of the Universe and its forces and particles, (G, c, l.). Yet since the Universe is enormous and lasts billions of years, as their fundamental particles do, Universal constants seem to us ‘absolutely constant’.

However in a smaller system such as a chemical re action, they change very fast.
– The density of information, D=T/E, is the inverse function of speed, which shows the informative density and complexity of an space-time field.
-And space-time force’, TxE, which measures the quantity of spatial energy and temporal information of the field caused by the combined ‘quantic action’ of its energy delivered in a period of time, during which the space-time field  ‘inter-acts’ or ‘reacts’ to the quantic action of other space-time field. In Biology it defines a ‘top predator’ as a species with maximum energetic and informative force; that is, with the stronger body and fastest mind.

Most constants and laws of science describe specific space-time fields through its speed (S/T), density (T/S) or space-time Force (ExT). For example, the Planck’s constant is a product between Time and Energy. While a molecular temperature is defined as the ratio between pressure, a temporal parameter and speed, a spatial parameter: P(t) V (e)=nRT. And so it measures the minimal quantic action of the world of atomic particles.

On the other hand, the space-time force of a being is equivalent to the Physical momentum of a particle, M(T) x V(E), or product of its temporal mass and spatial speed. And indeed, the particle with bigger momentum is also the top predator physical particle that survives in any collision.

The classic age of a being and the limits of existence.
We know by experience that the space-time force of a being is maximal in its mature, classic age. Now we can easily prove it in mathematical terms. Since a product maximizes when T=E, which defines precisely the age of maturity.  For example, if E+T=10, then 5×5=25 > 4×6=24 > 3×7=21.
Thus t=e maximizes the TE-force of any organism, because when Spis proportional to T, the being maximizes the coordination and communication between the cellular elements of the body and the informative neurons of its brain and so it works smoothly, efficiently: ExTi(t=e) ≈ max. ET.

Thus, the dominant age of any species is the ‘classic age’ of ST-balance and reproduction or ‘steady state’ that elongates the life span of all beings, as their systems maintain their symbiosis.

Those constant proportions make any ST system efficient. So most ‘survival species’ keep harmonic ratios of energy and information, which produce the most ‘beautiful forms’. Since beauty is precisely the perception of an efficient, top predator form with balanced energy and form.
Yet when the E/T proportions are out of balance in the youth and third age of a being, the excess of energy or information often ‘kills’ the species.
Science expresses those balances through all kind of Physical, Mathematical and Biological constants that range from the golden ratios of architecture and natural organisms, to the organic constants of biological species. So we define another essential law of quantic space-time, the law of harmony between energy and information, body and brain, mass and speed (momentum), which in biological, human or physical systems creates the most efficient systems of the Universe.

All organisms are defined by an ‘equation of organic balance’ between its |-Body and O-Brain or energy and information systems. When the body and brain go out of balance, beyond their limits of energy and information, the species dies. So a human being dies when it goes beyond its limits of energetic temperature. While in the Universe, where the limit of energy-speed is C and the limit of  informative order is 0 K., no particle can cross those limits.

Yet, in a quantic Universe of multiple space-times, those are not the absolute limits of speed and temperature of Reality, as Einstein said, but only the limits of our quantic light-based Universe. It seems that beyond our light Universe, it extends a ‘Gravitational Universe’ of ‘dark energy’ and ‘dark matter’, in which there are faster than light speeds and colder than 0 K temperatures. And we hint at its existence in cosmology through the study of black holes that seem to be the doors between both Universes.

As all languages/mirrors of any type of mind, ∆º, can perceive the function, or else it would not enact it in its world cycles; it should not surprise the reader that ‘genetic linguistics’ by homology, as the origin of our ‘mathematical symbols’, reflects also its intimate meaning as an acronym.

So we shall show how by iteration, the generator both in verbal=temporal and mathematical=spatial can reproduce and evolve all physical, biological and social systems of Nature.

In the graph we show that ‘final key element of reality’ the scalar fifth dimension, ab ∆, of all universal systems, co-existing in 3 scales:

Why we need the second arrow of information to complete our models of the Universe; if we are doing so ‘well’ with the details provided by our mechanical instruments of perception and measure, and the logic models of computers where we feed them; should be obvious to the reader – while the gathering of data and study of the details of reality has been ginormous thanks to modern technology, the final icing in the cake of science, the building of synoptic models not with maths but with logic, which can summarise and resume it all in simple concepts of enormous range of application is lacking precisely because science today lacks what we shall provide in this blog – the ultimate essence, the great principles embedded in the three arrows of time, its functions and symmetries with the three topologies of space, and its co-existing organic structure along 3 ∆±1 scales of size – all together put into a whole system by an organising apperceptive ‘linguistic monad’ which regardless of his language and/or simplicity – consciousness and self-reflection obviously should appear only in the more complex mental forms – do exist from matter systems self-centred in growing crystals to galaxies self-centred in gravitational black holes, to ant-hills self-centred in pheromonal queens to societies self-centred in government corps.

Humans reduce reality to simple mathematical, measurable statements and reserves vital properties to similar species.

So we shall make a brief history of thought from subjective human centres of reality to the wholeness of it, which shares all human properties with matter, soon. But we have already lay down the elements of all beings, Ƽst, scales, minds space and time ternary symmetries; so you can continue or leave. Know though you are just Dust of space-time and Ƽst you will become.

Departing from those facts, the interest for you of this post depends on what are your goals in knowledge and science. If you require mere praxis, truth can be perfectly approximated by computer modelling & statistical and probabilistic models without knowledge of the inner workings of causality caused by the ‘constant interference’ and mixing of the 2 arrows of time, entropy and information and its ternary combinations into energy ‘body-wave’ systems. All this IS knowledge of the ‘thoughts’ of God not its details and praxis of science does NOT need it. An example will suffice. Copernicus revolution put the sun in its center and simplified the equations of Ptolemy but it was rejected for long for 3 reasons:

  • In a relative Universe, Complexity can always replicate the simpler ‘Ockham truth’ of proper causality, with more ‘complicated’ ad ons and approximations. In Ptolemy case, epicycles and extants made in fact the model far more precise than the Copernican circular orbits, and it was not till Newton’s simple formula that it became established BOTH as simpler and more accurate. Today the ‘added’ complexity of ad hoc Ptolemy’s epicycles is even easier to implement with computer modelling, which alway looks so ‘real’ and can use all kind of Algorithms of information (Ab.A.I.) to approximate truth and obtain practical results. Yet those who seek the simplicity of truth did love Copernican simplicity putting the sun in the right place and will love the simplicity achieved by adding the proper arrows of time to the mix.
  • Humans are an astounding ego-centered species who tends systematically to deny the objectivity of science that puts us outside the center of the Universe in the case of Copernicus, and further aways from its relative scalar center in the case of duality.  The ego also works in favor of complexity as scholars like to feel ‘they are high popes’ talking in Latin and you need to be very learned to peer those secrets.
  • The very cyclical inertia of knowledge make theories stand for very long even if we know they are wrong. As the burden of undoing and redoing memorial experiences is seldom met. So we still follow religious and cultural routines we know are meaningless, and we still put the negative sign on electrons, regardless of their positive motion; and so on. Thus huge scientific revolutions that completely touch all sciences, as those regarding the nature of space and time, which those texts upgrade, are met with the maximal resistance.

In that regard, Einstein had the right attitude in search of the thoughts of God but without a second arrow of cyclical time, he could not complete the task. It is important though to remember in the XXI century of ‘digital thought’ and ‘computer models of reality’, with an astounding degree of data in the details of the Universe, that besides the trees there is behind a huge ‘wholeness’, the forest; that behind the details and its exhaustive analysis there is a larger, simpler order, as ‘god is simple and not malicious’ A.Einstein.

Formalism of absolute relativity.

Classic Topology, Fractal, non-Euclidean Geometries, and ternary logic, further evolved by this author (definition of the first four non-Euclidean postulates and the paradoxical ternary logic of all systems that exchange form and motion between its Spe<ST>Tiƒ poles) become the formal tools to study those invariances represented by the feed-back, fractal generator equation.

As we get into further detail an choose instead of the physical term, ‘invariance’, the biological one ‘isomorphism’, we shall consider 10 basic invariances-isomorphisms of the Universe derived of the constitutive substance of all systems, ∆±1 scales, entropic space (Spe), energy (Exi) and information (Ixe), and cyclical time forms (ƒ), which is the ‘substance’ origin of its combined actions (a,e,i,o,u), an its worldcycles cyclical time frequency; all of which studied in this third line in great detail can be formally treated as partial equations of the generator, Γst.

The fractal generator represents thus many things:

In full form, the principle of conservation of energy and information: S<st>T; and the complementary structure of all systems made of energy fields/bodies and informative heads/particles.

In partial ‘derivative equations’ , the actions all systems enact to improve their chances of survival by maximizing their invariances.

In time as a dynamic ωorldcycle with three stationary points become the topological formal ages and allowed states of all biological and physical systems: Max. E (sphere, energetic youth, gas); Max. ExI -> E=I, (toroid, reproductive age, liquid) and Max. I (zero point, 3rd informative age, solid).

In partial analysis of each of its three parts, mind, body wave and fields limbs, the key to understand the three fundamental ‘sensations’ of reality, perception, reproduction an motion.

An so on, and so on.

Since all stable systems are a combination of the 3 topologies that maximize the fractal generator and all existences a motion in time through its 3 stationary points=ages, the generator is also an ideal formal level of reality; while all failed mutations and unstable particles are incomplete sets or ‘vibrational modes’ created around the ideal ‘generator’ of each species, which did not obey its rules of topological form, balance between parts and failed to ‘exi=st’, performing efficiently its world cycle of life, reproduction an death.

Reason why I call the Fractal Generator, the Equation of Exi=stence – an algorithm, constantly run by the Universe that generates all its living and non-living systems in space and its ages/states of time and matter.


Now we shall make a bold statement, which for 30 years of studying reality has proved to be truth:

‘The Universe is a fractal game of scales of time arrows; reflected in the formalism of its Fractal Generator: Γœ: ∆-1: Spe<∆St>∆+1: Tiƒ, its ternary topologies, time ages and scales,

Thus the symbols of the generator define by similarity and combination in sequential sentences/equations all the invariances in space (topological invariances) and Time (causal chains, sequential ages), origin of all the events and forms of reality applicable to all entities of Existence: ∑Sp∆-1<∆ST>∏Tƒ∆+1

Such as the Universe allows any combination forwards in ‘informative, accelerated time’ (>) and backwards in entropic, expansive space (<) or without motion=change (=) in iterative reproductive time; any topological combination or transformation between Sp, Tƒ,<=>; any sequential sum of åctions (∆ï, ∆Sp, Sp<ST>Tƒ; ∑, ∏ ±∆ ) and any ∆±2 jump and/or transfer of energy, entropy and/or information between planes of existence (as systems co-exist in 3 scales) but NOTHING else.

So every equation, form and species of the Universe, event and world cycle can be described as a part (partial equation) of the generator an its many linguistic mirrors (universal syntax in grammar: Subject  (Form) < Verb (action-momentum)> Object (entropy of subject); S(x)≈T(y) in maths, entropic red < yellow/green energy information>Blue form in colours, Height (information d) < width (reproductive d)>length(entropy d) and so on…

It also follows that all stiences and disciplines will find its theories as approximations to the generator, or partial equations and limits of models constructed with less dimensions, and such is the case of 4D ‘RELATIVITY’ physics, which converts world cycles with a lesser dimension in worldlines and the ∞ scales of ∆ into the single light space-time continuum.

Let us then consider some basic principles of the fractal generator, derived of the nature of space an time.


Bidimensional time (information with motion) and entropy (space with motion) exi=st

‘I don’t have time or energy to do this.’ “Naked” Leigh. On the 2 substances we are all made, temporal information and spatial energy

Entropy is space and information is time, just ‘seen’ with different ‘quantity of motion’. Let us then explain this first principle of the complex dualist Universe.

When we say ‘I don’t have time and energy to do this’, we really mean it. Since we do not exist in a space-time background frame of reference. We are made, as Leibniz explained, of a vital space, which our bodies occupy, and has energy as vacuum space does, and last a finite time, our world cycle of life and death.

We are time space beings as everything else in the Universe, and this is the first isomorphism that make us like every thing else.

The perfect form of spatial entopyy is the straight line in movement – the shortest, faster trajectory between 2 points of space – and its society, the plane. The perfect form of temporal information is the circle and its society, the sphere, which keeps the maximal information in minimal space. Both, opposed, inverse forms shape the spatial, linear, energetic bodies and cyclical, informative, memorial minds that become the complementary forms of all organic systems made of atoms of temporal energy.

Entropy and information are the 2 primary elements of the Universe. They form all its complementary systems. In this posts we study its basic properties and dimensions. In the graph, they display different forms. But information dominates and defines an arrow of complexity and increase of height (the dimension of perception), from where informative organs (heads, cameras, black holes, skyscrapers), perceive and control with invisible languages (words, images, gravitation, money), the ‘unmoved bodies’ of energy under them. They are indeed what Aristotle called the multiple unmoved Gods of the Universe.

The 2 primary elements of the Universe, energy and information, mix and evolve, till reaching the threshold of complexity that gave light atoms living properties and now it is about to give the same life properties to metal systems.

In the graph, in biological and morphological terms, we can easily recognize the ‘limbs and heads’ of humans, animals or machines, because they have a clear morphology, which corresponds to that of generic energy and information.

Energy is lineal because the line is the shortest distance between 2 points; and so it is also the fastest energetic movement. Information has cyclical forms, because cycles store maximal information in minimal space.

For example, a human body and a machine body, a weapon, should not have anything in common; but if we observe the morphology of both, it is clear those morphologies correspond to the generic morphology of all energies: they are big, lineal systems that move in space. So our limbs are lines extended in space like a ‘missile’.

On the other hand, our eyes and brains are smaller and cyclical, like the cameras and chips that act as information organs in machines, ordering ‘limbs of metal’ with digital information. The functions of those ‘systems’ are also biological. Weapons are lineal, energetic forms that kill human beings.

We summarize the formal and functional differences between energy and information (organs) in a morphological equation:

Maximal Space = Energy = Minimal Form=body Vs  Maximal form = Information = Minimal Spatial extension=head

For example, the chip becomes smaller as it evolves into a better brain. Every 2 years it doubles its capacity to think, as it dwindles in size. Such process follows a generic law of evolution I call the ‘Black hole Law’, which computer scientists know as the ‘Chip paradox’ or ‘Moore Law’: maximal informative capacity= minimal spatial extension.

The reason is obvious: to think, to calculate you have to communicate in-form-ation, forms between elements of any informative system. The smaller the brain, the faster the communication that takes place within that brain and the faster you can calculate and process information in a logic manner.

As a result of those morphologies we classify as energy or information organs not only in carbon-life organisms, but in machines and in physical systems made of energy (fields, limbs, food) and information (brains, eyes, cameras, particles).

Thus also other beings and atomic species, even ‘deconstructed organs’ are Se or Tƒ systems:


In the graph, Biological and Physical systems are made of  ‘lengthy limbs/fields’ which perform entropic, energetic motions, ‘wide bodies/waves’ that iterate the system, and ‘tall’ heads/particles, which gauge information and perceive.

The variations on the same theme can be spotted when we consider also the external world from where the system obtains its quanta of space-entropy-motion and bits of frequency/time cycles of information. So for example plants and animals have inverse structure as plants are chemical beings, which take its frequency of information from thermodynamic molecules and entropic motion from light rays, but men use the smaller information of those light waves to map out more intricate informative mind-mappings so the roots-heads of plants become the head-eyes of animals. 

The combination of one of such dimensions of space and time, create a ‘bidimensional geometry in motion’ called a ‘topology’, and as it happens, there are only 3 ‘type’ of bidimensional topologies, the toroid, energetic one that expands and creates motion, the hyperbolic, cyclic one that allows cyclical exchanges of energy and information, and the spherical one, which allows shrinking without tear and deformation of any wide image of the universe into a ‘zero-point’ or inner mind, which reflects that Universe.

And as it happens, according to the holographic principle, the Universe is truly bidimensional, made of membranes that become layers, to form 3 D which move to form 4D. For example, you are reading a bidimensional, tall screen of information. Your eyes see bidimensional and put together a 3D vision. So all systems are made of those 3 ‘bidimensional, specialized parts’.

Now let us try to put all this into a very simple ‘first generator equation’ of space-time beings, with the 3 symbols we have used, | for motion or spatial entropy, O for information or temporal form and Ø for its ‘present body-waves’ that iterate those forms as they move along a path, transforming the entropy of puree space with no form in the first particles that will evolve through eons to give birth to the human kind. So we affirm;

“All systems of reality are complementary systems with an informative spheric O-head-particle (as the sphere stores max. information), which uses the pure entropic motions of a lineal |-field-limb (as the line is the shortest distance between 2 points) to move and control a hyperbolic Ø-body-wave of energy that iterates the system, combining the other 2 forms. Since those 3 ‘forms’ are the only topological varieties that exist, no other possible structure happens. So we write a simple ‘Fractal Generator’ for all beings made of limbs/fields of ‘spatial entropy’, cyclical particle-heads of ‘temporal information’, stored in the frequency and form of its closed logic clocks, and iterative body-waves:

|-Se: Spatial, entropic limbs/fields x O-Ti: Informative, temporal particle/heads = Ø-energetic space-time body/waves”


In the graph, some natural cycles of time perceived as forms of space for slow ‘time beings’ as humans are (atomic cycles), as languages of the mind (music beats), as biological cycles (life feeding, menstruation) or as physical systems (rotational matter planets, moon cycles). Below the ternary structure of all systems of nature, made of time clocks that store the in/form/ation of the Universe in the frequency and form of those cycles, and guide a ‘body-wave’ that absorbs spatial entropy and moves the system.

The holographic principle allow us to widen the principle of conservation of energy to enclose the 3 concepts ‘Entropy and form, space and time never die, but combine constantly into ‘present’ systems of energy and information’.

And so there are ‘3 bidimensional’ finite ‘parts’ of Space-time in all systems:

  • Sp (entropic, toroid, lineal limbs and fields)
  • ST (the iterative, reproductive body, body-wave with its e x i momentum)
  • Tƒ (the informative, spherical head)

And all systems of the Universe have them.

Now when systems have ‘the same’ form, it is called an ‘isomorphism’ from the Greek iso=equal and form=morph. So we talk of the first isomorphism of the Universe. Its 3 topological varieties, which process entropy and move (limbs, fields), process information and perceive (heads, particles) and communicate both parts in exchanges of energy (dominant in motion) and information (dominant in form) that reproduce the system.

So we can put the 3 together:  Spe + ST + Tiƒ = Constant (Being); which in more dynamic terms as parts are not really sums but ‘interact together’, exchanging flows of energy and information, we write:

  • Sp < ST > Tiƒ

While we will often use spatial entropy and energy (entropy with a bit of form) and temporal form and information (form with a bit of motion) as synonymous is important when we get more technical and precise, to consider the ternary structure of all what exists; including the languages of the mind, which mirror that Universe.

The synchronies and constants of the system;

It must then be necessary to consider the parameters of quantitative measure which will differentiate the different species of the Generator according to the time-space parameters it will display.

It must be noticed then that for all structures of Nature, generated by the ternary symmetries of ∆st, there must be at least a unifying single parameter, which all the parts of the system will synchronise together, and this will be the fundamental constant of the system, most likely a ‘time clock’, rhythm at the heart of the œ-being.

I.e. for humans it is the second that synchronises  the heart beat, the eye-thought glimpse and the leg 1 meter steps. It is then from this first fundamental time parameter, which locates roughly the system within certain Sp x Tƒ=∆§cale from where we can build the three key Universal constants,  s x t=momentum, t/s=density, s/t=speed, of the system.

Ie. in a human system the second will give us the step of a meter, which defines the steps of space, st-e(n)t(ro)p(y) units, which for man is a meter, the common length of our legs. So we can obtain our speed, 4 km, hour, consider the usual decametric ratios of acceleration (so our speed can reach 9 x 4 = 36 km.)

It is precisely that hidden ‘full program’/structure of the supœrganism applied to all systems from a simpler electron-photon quantum ensemble to the human beings, which will unify it all.

As a system is determined within a range of variations by the need to balance its different elements. I.e. a being with a ‘second’ time clock, belonging to the human biological ∆º scale should not display a limb/field step of much more than a second. As such the adjustable harmonies of all the beings of all the scales of reality is what makes so constant the ratios, parameters, relationships and decametric, ternary scales of the universe, which is an enormous puzzle constantly rewritten with the same letters by the game, but unlike Borges’ Babylon library, we do not have a chimp just banging the typewriter but an ‘excellent grammatical master’ with a penchant for ternary syntax.

So for a computer the Herztian clock-speed determine in turn all the other ‘symmetric, symbiotic and balanced’ elements which will be connected to it. And you would expect them to balance the capacity of thought of the computer. For a faster insect we will have a smaller steps; for a larger dinosaur a slower metabolic clock, and so on.

The study of the generator for each specific being, becomes then the common scaffolding of laws, and sub-parameters and sub-equations, which will define the specific actions, parts and events of the world cycle of each •œ.

Γ.  The Generator Equation of the Universe.

time clocks

All including humans are fractal systems made of multiple cyclical time clocks that enclose and inform a moving vital space centered into a selfish point of view, whose purpose is to perpetuate the balances that ensure the survival of the system. Those 3 elements are the ternary parts of the Fractal Generator; the feed back iterative logic, space-time equation that generates through its symmetries and variations all the space-time beings of the universe.

The generator equation, [S<ST>T]∆±1, merely describes the ternary beings of the Universe, which are modular fractal beings, co-existing in 3 scales of the 5th dimension (∆-1: quantum, cellular scale; ∆-Thermodynamic, organic scale, ∆+1 social, cosmological scales), each one made of a fundamental space-time being, a holography of 3 entities of bidimensional in-form-ation and motion: Sp (limbs/fields) <ST-waves bodies>Tƒ (heads-particles), which in time performs world cycles with 3 symmetric ages:

Ps-Past: Young-energetic age <ST-Present, reproductive wave-body adulthood>ƒT: Future, informative old age

Between its ∆-1 conception as a seed of information and its ∆<<∆-2 death as a field of entropy.

This is the generator fractal of all space-time beings of the Universe, truly a logic equation that explains it all.

In the next graph, we see the entire Universe generated by the Fractal generator of Superorganisms, written above in simplified terms:

3 HUMAN scales bestBelow we can see the Human being generated by that equation in simplified terms, described in its spatial morphology and temporal ages by 2 developments of the equation.

Thus the fractal Generator of relational space-time, Se<ST>Tƒ, and its symmetries in space and time  generates an infinite array of species, and to fully understand them we need to describe the formal symbols we use to represent, ‘motions’ and ‘forms’ of the 5th dimension, and the laws that define how those dimensions interact and ‘mess’ together, to create reality.

So the analysis of the fractal generator and its sub-equation, symmetries, dimensional laws, which apply to all systems and allow to deduce all other laws of all scales of the Universe is an immense field, for future researchers in the fractal space-time structure of reality and all its parts.

And then a brief analysis of the symbols used on its full equation.

The first truth to understand about reality, which is now a canonical, experimental truth, since the discovery of quantum physics and relativity, but has never been properly formalised to describe the Universe and all its parts, is the fact that you do NOT exist in a background, Newtonian, absolute abstract space-time, but in a quantum, relative space-time. This means that all systems, including physical and biological systems as you, are made of:

  • A vital, fractal space  made of quanta with motion – the space you occupy is ‘you’, it is not a ‘background’ reality, an abstract ‘Newtonian’ frame of coordinates where you slide through. You are made of quanta of space: “Spe”. So it is a particle, made of quanta of space, called a ‘field’. Further on, because all those vital spaces are made of quanta, they can be counted in space,, so we write: ∑Spe.

The confusion of a background space arises then, when scientists did not realise that this structure of vital continuous spaces, made of smaller quanta, extended ad infinitum. Quanta of space was made of smaller quanta. For example, organisms were made of cells made of molecules made of atoms, and so on. So they postulated that the smallest of all those scales was a background space. But even if there is a minimal scale, in the same manner when your whole vital space moves, your cells move with it, the last hypothetical scale will move with your cells. Now, this structure of space, in which wholes are made of parts with similar functions or forms to the whole is called a fractal. So all what exists is a vital fractal.

  •  Now those vital quanta with motion, move with a series of time cycles. That is they trace repetitive actions, which appear as space-time cycles, which the being performs through its existence. So existence is made of time cycles, T, in which you use your vital space to perform certain vital actions, such as feeding on energy, or gauging information, reproducing your system or communicating and associating with other space-time entities.

And you do so with a discontinuous frequency, ƒ, for each of those actions that have a certain repetitive, discontinuous beat, and create through its actions  forms in space, they are forms-in-action, information: “Tiƒ”.

So as you perform several actions and you are made of smaller quanta that also performs those space-time actions the different actions in time must be synchronised in those relative scales of size of reality. So your cells are synchronised to reproduce once a day, when your feeding patterns give them energy to do so. Women’s reproduction is synchronised with the time cycle of the moon. And so on. The result is that each day you feed as a whole, billions of cells reproduce; so your action ‘multiplies in a lower scale’. Thus because those time actions the being develops, repeat in cycles, that multiply in lower scales with  cyclical, pi-like patterns, we can ad a multiplier to each time cycle: ∏-> ∏Tiƒ.

It is also clear that those space-time actions and cyclical synchronicities are all about, exchanging energy (as in feeding) or information (as in perception) between you and the external world or you and your internal structures. So your vital space and time cycles are constantly exchanging spatial energy (open spatial motion) and temporal information (cyclical forms-in-action):

Φ.         ∑Spe <≈> Ti.

Where a system of spatial quanta, dominant in lineal motion, hence more abundant in lineal limbs (biological systems) and lineal fields (physical systems) Spe (|-Limbs/Fields), exchange energy and information (<=>) in cyclical, patterns, dominant in a region of the system, with cyclical form (that stores more information) called a particle in physical systems or a head in biological ones, Tiƒ (O-heads-particles).

So because the equation of the being is dynamic, and energy and information goes back and forth between the two poles, limbs and fields and particles and heads, the equation is called a ‘feed-back equation. And it is the simplest equation of duality that reflects the structure of the space-time beings of the Universe. Further on, the intermediate, ≤=≥ region where maximal exchange happens tend to be in all systems a different, larger region, where cyclical information and lineal kinetic energy interacts forming more complex curved, hyperbolic forms, called waves in physical systems and bodies in biological ones. So we can extend the description of the being to a ternary structure:

Ξ.       ∑Spe (|-limbs-fields) <Ø-ST (hyperbolic body-wave) > ∏ Tiƒ (O-heads particles)

This is the synchronous ‘spatial, present’ description of the being. And we can affirm putting together the 2 fundamental principles of conservation of the Universe, the conservation of Energy and Information (and its quanta equivalences, the principle of conservation of lineal and angular momentum, as energy and information are nothing but the integral of each of those quanta of lineal and angular momentum):

“All what exists is a system of quanta of vital space and cyclical time, exchanging and trans-forming back and forth energy and information ad eternal: Spe<ST>Tiƒ”

  •  Now, it is clear that your quanta making time cycles interact in the ∆-1 cellular scale, the ∆-organic scale and the ∆+1 social scale. But so happens with physical systems, which extend through 3 scales, the ∆-1 quantum scale, the ∆-thermodynamic scale and the ∆+1 gravitational scale. So Space is a sum, ∑ of quanta, ∑Spe, Time is a series of ‘pi cycles’ with different speeds, ∏Tiƒ, synchronised to work symbiotically together. And both space quanta and time cycles, are ordered in relative scales of Spatial size, and Temporal frequencyAnd this happens through at least 3 relative scales of size and speed of time, ∆±1.

When you say i don’t have energy and time to do this, you ARE certain, you are made of spatial energy and temporal information, as everything else in the Universe. When you get sick, your cells are normally infected, and your cycles in the larger social world are reduced. You are, as every thing else in the Universe a ‘super-organism’ (meaning you extend through symbiotic scales, each one made of smaller quanta), of fractal space and cyclical time.

We then consider that all systems are fractals of space and time, ∆ST and call this series of scales, ∆, of different size and speed of time clocks of the Universe, the fifth dimension. Since a dimension is precisely a system of space-time points extended across reality. In the next image we can see the 3 main scales of the Universe, with man on its relative centre, as we  perceive from our scale, which we shall call ∆o:

Λ. The order of Se x Tƒ scales: the fifth dimension.

Now we write with those laws a fractal generator equation of infinite space-time existences, the metric of the 5th dimension:

Clean STuD3

 In the graph the Universal fractal of infinite beings of space-time with different speeds in its clocks and sizes in space, whose product however, Se x Tƒ, space size for speed of its information cycles remain constant, creating a ‘stable space-time being (ST±4) which happens in different combined size from the smallest. infinitesimals ST-4 to the largest Universe, ST+4.

All fractals have a generator feedback equation and the Universe is not exception. Generators are dynamic, cyclical equations which constantly create slightly changed new ‘cycles’. As such they are periodic cyclical equations of the form X < = > Y, where obviously X and Y are symbols as in all ‘Universal grammars’ linguistic representations of the Universal Generator (mathematical jargon in Space-time) or Universal Grammar (Logic Jargon in Time-space):

  • Universal Generator/Grammar:               Tƒ ∑ExI=ST±4

We write the Fractal Generator expressly with one of its similar identities, in an expression which can be understood logically in wor(l)ds, the fundamental grammar of the human being.

In its Topo-Bio -logic ternary identity, ‘Topological ∆-planes of Vital Spaces and Cyclical Times’ need to be described topological properties (5th dimension metric), Organic properties (which organize 0±1 vital spaces into a ternary organism) and logic properties (the ternary Non-Aristotelian logic of cyclical times which return in a ‘Hamiltonian’ Cycle to its origin.

The generator equation thus can be used to deduce from its topologic, biological and causal properties any other equation of the Universe.

It cannot be achieved such a feat as physicists of lineal time expect, only with topologic properties and only in a single continuous space-time.

It needs to understand the metric of the 5th dimension and its relative scales of absolute time (ST±4), between invisible forces and invisible cosmos, beyond our perception (C speed, 0 K limiting borders). And this is achieved with the summit of the evolution of mathematical languages, the Non-Aristotelian, Non-Euclidean i-logic topology of vital spaces, of organisms, of geometric forms with speed-motion, constantly performing ∂a, accelerated åctions with 3 ±= stop and go motions…

GST. General system sciences.

The generator equation is a formalism, but the philosophy of science behind it is an organism.

If the Unification of all sciences has a name or discipline, called General Systems Theory (ab. GST), which this blog so far formalises, its formalism is the Generator equation of fractal Space-Time (Ab. GST), or in Greek letters, the Gamma Function, Γ.

A system thus is defined by its 3 x 3 ±∆ST elements, which act on the Universe through its world cycles of exchange of spatial energy and temporal information. Nature’s systems exist in as much as they Generate events of space-time.

Thus we develop the formalism of the fractal paradigm, and show the organic nature of all systems and its processes of creation by deducing from the more generic Fractal generator, 10 partial equations in scale, space and time, which are common to all beings of the Universe and allow us to complete the description of any of them.

You, me, everything in the Universe is indeed a space-time Non-AE being tracing world cycles as a superorganism travelling through ∆±1 planes as a series of motions on the 3 relative structures that define reality – time motion, space form and ∆-scales of size and speed.

And this simple reality of 3 x 3 variables and a ‘central mind point of view’ which puts together the whole is what the formalism of the Generator equation defines in its simplest expression:

∆-1 (cell/atom) |-Spe (lineal past-entropy) < ∆ ≈ST (thermodynamic organic body-wave) > ∆+1 O-Tiƒ (head-particle)

The detailed analysis for each species of that generator is from where we depart to ‘connect’ the formalism of GST with all beings of reality.

As such GST is the necessary philosophy of science that completes a classic scientific description of any being.

On the other side GST will bring a lot of corrections, resolve a lot of conundrums, open a lot of new avenues to research as specialist learn to connect its knowledge of each species and the general laws of the fractal space-time 5D universe…

 It follows from all this that the Generator three parts can be also studied as partial equations with different properties which will correspond also to different mathematical frames of reference. So we shall now consider some ceteris paribus analysis of those parts.

ALL WHOLE SYSTEMS HAVE Minds and languages: Ƽ

A fundamental truth of the Universe is the existence of singularities that order physical, biological an social systems, except when they are in a free, chaotic state of maximal entropy, which cannot produce order. Thus the concept of physicists of a single time arrow is only valid for entropic gaseous states, and their idea that such states must be ‘extended’ to all realities, the most absurd hyperbolic statement of science ever, due to the deformation of its worldly profession as makers of motion machines and entropic weapons. That 150 years after this concept became dogma in military Germany, XIX c. scientists still revere the concept of an entropic dying Universe tells much more about the fundamental ‘believer≈memorial=reproductive arrow’ of human minds, in accordance with the present-reproductive Nature of reality, which is ‘conservative’ than about the ternary structure of the real Universe. In the graph, without Singularities of order, neither mathematics, not solid physics, or biology would make any sense. Only gas in which indeed there is not Maxwellian demons, except when the outside membrane is designed to reorder through a distorted potential field, the molecules of the gaseous system.

What languages then matter to describe the Universe? Of course mathematics, the language of space, and logic the language of time, integrated in the demonstrations of mathematical laws, but also bio-logical, organic laws, which are embedded in the fractal, co-existing structure of parts and wholes. And then for each species, which observes the Universe, its particular, ‘local’ languages, all of them unified by a ‘ternary structure’ that reflects the Universe’s ternary elements. For example:

Subject (informative being) < verb (space-time action) > Object (entropic energy of subject) IS the Universal grammar of all human verbal languages, equivalent to:

red colors (spatial entropy) < green/yellow (energy) > Blue (temporal information) for animal visual languages

F(x):time-like parameter < (operandi: action) > G(x): space-like parameter, which defines mathematical equations and its simpler Boolean algebra which in computers reduces all to 0 and | truth or false, ±, and its combined gates.

In that regard GST and its ternary laws of time and space are a language which is prior to all languages, even mathematical logic, its closest, more accurate human mental mirror, but NOT the only one. 

This I know is a religious dogma of ‘human science’ since Galileo rightly said that the language of god is topological, made of lines, cycles and triangles. But as so many dogmas of science, this is a reductionist view. So we shall not follow the ‘pedestrian concept’ of science, which consists on collecting data, putting it into an equation and wonder not about the conceptual whys of those equations and what they reflect at a deeper level of truth which is the organic, fractal ∆•ST structure of the Universe.

Indeed, the 2 main researchers of scalar, fractal models of the Universe, Mr. Mandelbrot, the pioneer of fractal mathematics, and Nottale, which has worked as I have done since the 90s in fractal, scalar relativity (but only in physics) before the field exploded in detailed accounts do work on the mathematical equations, often creating a short of numerology, as the deepest explanations of the cyclical nature of time and its infinite clocks is still lacking, amazingly enough after a century of Einstein’s discovery.

Fact is without a redefinition of time and space, in the path of Leibniz, Einstein and Planck, the pioneers who still have the best concepts of relational space-time, its infinite clocks and the ‘substance’ of which reality is made – actions; the ‘meaning’ in verbal, HUMAN languages of those accurate equations will be lost and ‘that meaning’  is what truly matters to us.

All this said, we can now consider the fundamental ‘next level’ of complexity of the Generator equation, in the ‘fractal Universe’, as each of those elements becomes a ternary structure giving 3 ‘dimensions of space’, 3 ‘ages of time’, 3 ∆±1 scales of an organic system, and the final ‘whole, 10th dimension’ of the mind-languages that perceive the whole and become a 1-unit of a larger scale.

The generator feed-back equation: ST- waves of communication between points.

When we consider the st-part of the generator its fundamental mission is to reproduce the being.

The ultimate simplification of all complex beings of the Universe with the duality of space-time and the ternary generator equations born of those 2 limiting elements, Spe & Tiƒ and its combinations, ST, is a qualitative form of  knowledge different from the quantitative details of classic science. It is the forest overview that modern detailed analysis of trees≈species of science has forgotten to understand. Now this search is renewed thanks to GST. So unlike modern sciences, which depart from data and ‘tree analysis’, we start from big undetailed pictures of the generator and its depiction of a world cycle in time of a simultaneous supeorganism in space – from the totality and encase within it all the details.

Some will say this ‘mystical, quasi-religious, general view’ of beings is not needed, it is not science. It is of course a new scientific perspective that completes the details and the kind of sense of knowledge it gives us, or intellectual experience is a different but not for that reason less satisfactory mind trip to the mathematical analysis of the being.

Once we define the topological unit of the Universe, the fractal point of view, and the i-logic geometry it deploys, its mind-perceptive processes, and for the specific study of any entity in existence, its parameters, languages, actions and will of existence, we have a fair description of the being in space.

Yet to study the being in time, we need to write a fractal generator, feed-back equation between the particle-head of tiƒ of the system and its Spe-field/limbs of energy, which will cause a flow of energy and information communicated between both. It is then when the dynamic evolution of the system starts in earnest. And so we talk of the first, ‘|’ isomorphism as the study of the ternary, universal time algebra that describes the ‘ties’ of existence between time-information and energy-space functions, which will form the systems of reality, and the study of its fractal Generator equation: Spe<ST>Tiƒ.

The field view.

Finally we arrive to the entropic field view of the generator, which is the dominant, simpler view of science notably on physics, susceptible to an external lineal description – potential fields, derivative Poison-Laplace equation-stochastic Markowian processes, etc. As it is overwhelming in all sciences we escape in this article further entail on it.

IT is basically the view with less order, less temporal latitude, more chaos-freedom less predictability of the future as there is no point of view to choose, no hierarchical singularity – and of course it applies to all systems. I.e. in social systems is a democratic-herd chaotic state, an entropic war field, the lower class of society in permanent chaos and survival disorder. And so on.

The logic of the generator: ternary Universal grammar

The Universe can be reduced to a single equation, the ‘Generator Equation’ or Universal Syntax, Se≤St≥Tƒ, which describes the 3 motions of time (<past-entroPy, ≈ pResent-Reproduction and >Future-Form) an its 3 relative ‘static’  forms of space, Se, the entropic pole, Tƒ, the informative pole, and St, the reproductive mixed pole; AND ALL ITS COMBINATIONS.

Those combinations might be symbiotic, in which case we use the ≈,=, symbol, embedded in the central symbols, ≤≥, as the systems will stay in ‘parallel’, that is with the same relative motion-stillness to each other and form a larger stable structure of space-time (a super organism), or they can be ‘perpendicular’, ><, x, which means the system will transfer energy or information in a Darwinian manner that means the end of one of the 2 poles.

Think for example, of a head, Tƒ, and a limb, Se, joined by a body, ≈, which are stable, parallel combination that maintain its distances and communicate energy and information.

Or think of a system with a predator, max. ExI and a prey, Min. ExI, which therefore act as the Tƒ, dominant informative pole that absorbs the prey as an Se, energetic source, which it will ‘inform’ and convert into its own predator form.

Thus we resume in the previous equation, the 3 motions of time (<≈>), the 3 forms of space (Se, St or ST, Tƒ) and its two fundamental forms of relating to each other, ≈, parallel, symbiotic interåctions, and ><, x, perpendicular, Darwinian ones.

In dynamic terms the Generator is a feed back equation, which describes the < entropic motions delivered by the Se< limbic/field upon the system and the information produced by the Tƒ future pole that guides and hence decides logically the future position of the system. In static, spatial terms it merely means the structure seen as a harmonious interdependent whole. So the generator is a ‘Fractal generator, an equation which repeats the same patterns as time goes by.

Thus with those 3 simple elements in its 2 space-time states we can describe all systems and events of the Universe.

The Generator Equation is therefore a simple feed back equation, whose infinite variations, on the properties allowed to vary without changing the whole structure of the system, allow to describe all systems of the Universe. Those

Moreover, since the mind, O-∂till point x ∞ moving Universe = Linguistic mapping of reality, is merely a mirror of the whole, simplified into a linguistic syntax able to fit the image within the smaller finite space-time of the being, we can build a Universal Grammar of all languages departing from the previous equation.

Thus Logic and mathematical, even visual languages merely are ‘Codes of the Universe’ that help a species to interpret the space-time åctions of other beings, in terms of its value as ‘Se, St, and Tƒ’ elements.

So for example, in visual languages, we have the Universal Grammar that codes our perception of Nature around us:

Red-energy: Se<+Green – Yellow ≥ Tƒ: Blue-information.

In verbal thought, the equations found by Chomsky is:  Tƒ (Human, informative subject)≤Verb-action≥Se(energy-object).

And in mathematics is, F(t) ≈ G(s); where F(t) is a parameter of a time function that through an operandi (≈) integrates together a series of spatial elements or steps into a Time function, of larger duration, G(s).

Thus we affirm that the structure of all languages has a common Universal, ternary Syntax or Generator Equation.

Those 2 terms thus define the metalogic of all languages (we used the concept of Universal Grammar for many years, but after a few letters with penpal Chomsky, on the theme, I decided not to confuse terms, so we shall try to use more often the terms Universal Syntax, while Generator Equation, is the term used in fractal mathematics for any ‘seed-equation’, which by iteration will generate a fractal system).

Thus the Generator Equation≈Universal Syntax is merely the linguistic mapping of the whole, mirrored in a given o-point mind; and as the barebones generator equation is dressed with more complex elements, and multiple layers of iteration and complexity, it ‘becomes’ a being.

This Generator equation is written in different ways. So we sometimes write it as: Sp x Tf = ST±4,  an acronym version, whereas a pole of maximal motion, and one of maximal form, I, come together and perform a series of space-time åctions across the different ±4 scales of the 5 Dimension, from where it obtains energy and information, to create a stable space-time, ST±4.

So besides using synonymous letters, to define the similar concepts of space and entropy-energy (S≈Sp), and time, information and cyclical clocks of form (Tƒ), in the previous equation we introduce an scalar 5D element (±4), needed to complete the description of the being NOT only in a single space-time plane as the Universal grammar does, but across the multiple layers of the 5th dimension.

Thus, we shall consider some aspects of the previous  2 equations in this post and how they are at the foundation of all mental forms of knowledge. First we will give a fast review of the structural elements of the duality of Space-time and the scales of the 5th dimension, and then we shall translate them into the elements of all languages.

Finally for those interested ‘mainly’ on human languages, there is an article on topological linguistics (the syntax order of the 3 elements of sentences, which define the character of cultures, according to the position of subject, verb and object), with a better discourse from an earlier age of higher lucidity in the section of U+1 social super organisms of mankind.

The 3 scales of complexity of beings.

The Universe is a binary->ternary system, made of 2 polar elements, which exchange energy and information through a present flow. And so whenever we see ‘something’, the best way to study it, is to analyse its 2->3 elements, ‘first’ and then try to formalise them with i-logic equations. But this binary and ternary structure has 3 ‘different’ architectonical ‘levels’ of complexity.

The simplest events will be merely ST-actions that combine or switch between space and time states, as systems move and perform those ±∆e,i actions.

Then we shall find the next integral stage, when actions are observed to come from a given knot of space-time cycles, resumed in Œ an existential point, EO, in its space-still perception, or an existential function, in its time-moving perception.

And finally we shall integrate Œ-points along a world cycle of existence within an external absolute space-time World, either a super organism in which the point exists, or a larger world in which it performs those actions.

Again we observe this 3-multilayered structure, which we describe as the U∆±1 co-existential architecture of al entities.

Now, since the first of those layers corresponds to spatial motions (we see it externally as the point traces its space-time cycles), it relates to geometry; since the second element relates to the world cycle of existence of the being, it relates to time algebra, and since the 3rd element deals with the evolution of infinitesimals into U∆+1 worlds or super organisms, it relates to Analysis.

If we were to use a more technical jargon, in the 5th dimension the ‘invariant’ forms of entropic space and informative time that do not change are called morphological properties or ‘topologies’.

So for all informative systems, from particles to heads to black holes have spherical form, since the sphere is the form that stores more information in lesser space.

And all entropic systems from limbs to light fields are lineal, since the line is the shortest distance between points.

So we talk of the isomorphism or invariance of topological form in all scales.

There are 5 main co-invariances or Isomorphisms in the 5D Universe, which is one of the key subjects we study in the 5th dimension to describe the Pantheist Universe, in which we are all ‘fractal parts’ of energy and information made to the image and likeness of the whole. The only known to 4D science is the invariance or isomorphism of motions.

We consider here the 4 other, far more meaningful ones.

  • The isomorphism of the ‘3 topological varieties of fractal space’
  • The isomorphism of the 3±∆ time ages and worldlife cycles of all systems
  • The isomorphism of the 3±∆ sT actions they perform.
  • The isomorphism of zero point minds that order reality

We shall try in this article to explain them, to resolve further questions of science illuminated by the wider perspective.

And so when you finish reading this post in progress you will come to the conclusion the Universe is a pantheist universe where all entities from the smallest to the biggest one are similar as they follow those invariances or isomorphisms.

The fundamental of which is the essential fact that all beings go through a life/death cycle with similar properties.

A point has one dimension which grows as we come closer to the point till it becomes a world in itself. Thus we can perceive the point with different Magnitudes that accumulate perspectives, external and internal motions of the point, seen in space as dimensions or in time as motion The result is most often a series of combinations called momentums and energies and informations In the jargon of physics angular and lineal momentum, and vortices of attractive forces closely resemble the nature of cyclical and lineal motions of time.

In other systems the importance being the transfer of information, forms are more complex and we do not find so easily the regularities.

The 5th dimension studies the ‘fractal, scalar’ structure of the Universe of which we, all its parts, which occupy a vital space and last a finite time, are made. All those ‘vital space-time beings’ are organised in different scales of size (so we are made of cells and form part of a global society, matter is made of atoms, and forms part of planets and stars that form part of galaxies and so on. How to order all those scales in a meaningful way?

We can do so by putting them together in a ‘fifth dimension’ of space-time: the dimension of relative size in Space, Se, and relative speed of time clocks, To, which evolve in scalar opposite ways, when we become ‘bigger’ or ‘smaller’. So smaller systems tick faster its clocks and carry more information in the frequency and form of its cycles, than larger beings.

A fact that we write as a metric equation, Sp x Tƒ = ∆(Ei), since the product of both parameters remains constant, (Laws of conservation of energy and information)  a fact that allows the interaction between ‘different scales of reality’ from the atom to the galaxy from the cell to the planet.

Those facts explain all type of phenomena, from the life-death cycle that happens in 3 scales (the cellular seminal scale, the human and the social one), to the Unification equation that puts together the quantum, electromagnetic and cosmic gravitational scales. It is indeed a fascinating subject, a much more advanced philosophy of science than the simplex mechanism of Physicists, which dates back to the work of Kepler, who said, ‘the Universe is a clock and God has waited 5000 (biblical years) to find a person (him) who understands it’ marvelled by his mechanical clock of measure.

Since indeed, a machine NEEDS A MAKER, a God, and so Newton, a pious believer who dedicated more time to biblical studies than physics, also validated the model. Only organisms are self-sustained, self-reproductive, and self-organised… That is why if we take seriously the laws of truth of science, we need an organic model.

The scales of energy and information networks: The fractal Universe.

The previous definition of a super-organism unifies all sciences as particular descriptions of each kind of organic systems. Why there are then so many sciences, if all in the Universe is a system or superorganism of temporal information and/or spatial energy that participates of the same laws?

The answer is that human subjectivism has used many jargons that divide those sciences, itifying most superorganisms with abstract concepts to downgrade them respect to man, the most ‘intelligent and organic species’. For example, the abstract jargon of “space-time”, synonymous of the organic jargon of “energy-information”, differentiates physics from biology; the ‘organic Vs. inorganic’ erroneous denomination of atoms has divided chemistry from bio-chemistry, etc.

Those artificial divisions are solved by a General Systems Theory that becomes the ‘science of sciences’ based in the 2 quantic universal substances, energy and information, its networks, and laws of transformation and social evolution that give origin to all Universal super-organisms and can be formalized using the Generator Equation of Space-Time. The smallest networks of the size of a Planck scale have evolved its information and grown in spatial size through the creation of networks that put together quantic cells into social macro-organisms.

Thus individuals become universals, which act themselves as individuals of bigger super-organisms, in a scale of growing forms that creates the complex, fractal Universe, departing from the simple particles born in the big-bang:

So strings of electromagnetic energy and spins (knots of gravitational mass) form the space-time network that evolved into the 2 fundamental particles, informative quarks and energetic electrons. Then groups of quarks and electrons became the informative and energetic network of atoms. Groups of atoms became molecules. Groups of molecules became cells.

Groups of cells became living systems. Groups of living systems became societies.

Groups of societies became nations. Groups of nations became global planets.

Groups of planets became solar systems. Groups of solar systems became galaxies.

Groups of galaxies become Universes. Groups of Universes become the Hyper-Universe.

The stair ends for our perception, though it might go forever into micro and macro-scales, since the equations of Strings, the microscopic and macroscopic forms of the Universe are equal regardless of scale. Thus we exist in a fractal, social, organic Universe.

Where the total Universe is defined as a Game of Existence and Extinction of infinite super-organisms that communicate information and energy among them. Each species of a certain energy size and informative range is studied by a science. So we classify all different sciences as ‘human descriptions’ of certain universal space-time systems.

Each science studies Super-organisms with a certain range of volume of information and energy or TxS relative force. Physics studies microcosmic atoms; chemistry studies molecules; biology studies the forms of ‘carbon-life’ with a size similar to man. Since man is also a specific superorganism with a specific range of perception of other universal Non AE systems, from microcosmic quarks to galactic macrocosms. History and religion study the social macrocosms of man (tribes, nations, subconscious collective networks of ethic information called Gods, etc.). While Astronomy studies the Universal microcosms.

In that regard, the parallel form and behavior of the species in the limit of our perception, microcosmic atoms (Physics) and macrocosmic masses (Astronomy), proves that the same laws rule all the species of the Universe. Further the key to their morphology and function is the temporal energy they absorb, carried either by Gravitation or by ¥-rays, 2 forces of energy and information with parallel morphologies, which have a range of sizes so wide that make possible superorganisms in all scales.

The transcendental arrow of the 5th dimension: Emergence.

In the same manner that the sum of multiple reproductive cycles gives birth to the generational arrow, the product of multiple networks of informative beings gives birth to the transcendental arrow of the 5th dimension that makes parts emerge into wholes, such as:

∏∑² informative particles: ∏ Social networks: Transcendental arrow.

Thus a new dimension of time is the social evolution of organisms into bigger super-organisms, scale after scale, from particles to atoms to molecules to cells to organisms, to superorganisms to the entire Universe with its infinite scales.

Though each organism is when observed in detail a super-organism, if we were to consider a rigorous distinction between both, the difference would be of our detail of perception: a super-organism observes each of its cells as an organism of smaller ‘cellular element’ and an organic view stops in the analysis of its cells.

A fact, which leads to a metaphysical question: it is transcendental arrow infinite in scales; or it is as all other dimensions a finite dimension? Unfortunately an argument on the number of scales of the Universe will always be theoretical, because unlike the other dimensions we cannot observe the absolute totality of space extensions and informative, scales created through time durations to have any experimental evidence of such limit. The Transcendental dimension, the dimension of emergence, studied by the ‘science of emergence’ or transcendental arrow, as it is often not perceived, especially for the individuals who become part of the whole; believers that form part of an eusocial human organism through the arrow of love; physicists, who don’t see the super-organisms of galaxies, etc.

The difference between the transcendental arrow and the organic arrow is subtle. Unlike organic systems mediated by the 4th arrow, the transcendental arrow is far less brutal than the stick and carrot system by which the informative, nervous systems of organisms dominate the cells of its body; in as much as it implies a high degree of homogeneity and collaboration between the parts that transcend.

In that regard, we could consider that the social arrow forms ‘herds’, waves and bodies, while the transcendental arrow is the arrow that puts together complex, informative particles together, and while the arrow of organic evolution would be based in the concept of ‘safety’, the transcendental dimension will be based in the concept of love, as the particles know each other more intimately, and in certain cases can even become fusion in a boson structure, in which all occupy the same space.

Thus the difference between the Generational and Transcendental arrows and its fractal units, the arrows of Reproduction and Organic Evolution is minimal and that self-similarity brings about some philosophical, metaphysical conclusions:

-As in a succession that converges with less difference between terms, the convergence of time arrows seems to indicate that there are no more ‘dimensions of reality’ beyond the Transcendental arrow.

-The Transcendental and generational arrow seems to act, ‘reinforce’ each other, as the generational limit obliges species to evolve into eusocial organisms if they want to survive, hence ‘transcendence’ is the ultimate mechanism of survival in the Universe. In the same manner the Simplex and Complex arrows are intertwined as one cannot exist without the other. Such is the harmony of all the systems of an interconnected Universe.

– The more complex arrows of time seem to create more perfect worlds. If we assign to each arrow a sensation and/or its negative lack of it, blindness vs. perception =information; hunger vs. taste=‘—motions’ feeding, pleasure= reproduction; safety=organic evolution; eternity=generational cycle and love= transcendental cycle, and postulate that all entities of existence are moved to action by the existence of sensorial fields associated to its arrows; we reach some philosophical conclusions:

– The simplex arrows are automated and reinforced by the duality of negative/positive sensations, where the negative sensation is so powerful that it obliges the entity to act without delay to achieve the arrow. We can then image the simplex physical particles whose basic fields is a dual energetic /informative system to be far more automated than the next scale of beings, biological beings dominated by the reproductive and organic arrows.

– Those 2 arrows are what Aristotle called ‘vegetative wills’ and are reinforced by the objective isomorphisms of survival, as those species who do not reproduce or evolve into bigger organisms tend to perish and become food of larger biological systems. Thus, we observe in those 2 arrows and systems a higher degree of freedom, as species can live without reproducing or acting in social groups, but the penalty a ‘posteriori’, extinction is equally deterministic.

– Finally the generational cycle and the arrow of transcendental evolution seem not to be imposed from within the system but from outside and despite of it. Indeed, the generational limits of existence are not positive and certainly not liked by the species, which is subject to it. A solution is found when we realize that the generational limit as well as the organic arrow that creates herds does not affect to the informative cells and its networks; since indeed, black holes are immortal, as the informative elements of the universe and neuronal cells live all the existence of the organism. And so it becomes obvious that the limits of existence of those arrows are imposed by the neuronal, informative networks of the system.

And so the transcendental arrow of eusocial love is the summit of all the arrows of existence, unique to informative networks, whose members know each other deeply, share ‘—motions’ and information in higher degree, command totally the other elements of the organism, last forever, as long as the organism exist and have a higher degree of freedom that all other species. Reason why there is not clear systems of reinforcement. It is the summit of existence, free and eternal, within the limits of the ecosystem or super-organism in which those cells exist.

Recap. The transcendental arrow makes individual organisms transcend into super-organisms, creating the scales of the Universe.

The function of existence of the universe.

We humans have a clear limit in our perception of those scales, given by a series of parameters proper of radiant matter. We can’t see beyond quarks and galaxies; we can’t absorb information coming from faster than light forces (non-local gravitation) or perceive ordered vibrations below 0 K temperature. It is a metaphysical question to wonder if those are the hard limits of reality; in which case the smallest point, the quark, won’t be as Leibniz put it, a world in itself, but a hard limit: the simplest rotational movement or ‘spin’ of the Universe; or they are, as I believe, only the limits of human perception.

Then all what exists is truly relative in its scale, and the atom is an object self-similar to a galaxy, which would reveal infinite detail if we could approach the ultra-diminutive Planck scale. A fact, which translated into fractal notation, gives us the simplest formalism for all Universes, sum of all potential cyclical forms of all its ∞ fractals:

∏ (∑e <=> ∑2i)∆=∞       Universal function of Existence

The previous equation resumes all the possible infinite combinations of cycles of times, made of ∆-points in communication, that create all type of networks of ‘—motions’ and form, which become complementary organisms, and start a function of existence. So first ‘—motions’ appears, ‘—motions’ becomes form, ‘—motions’ and form reproduce and create social organisms with the reproduced cells.

We can observe the universal equation also as a game that grows causal dimensions: from lineal ‘—motions’ (1) comes from (2) and both combine to reproduce (3), self-similar waves of being.

This simple description of the game of the Universe, S ->ST->SxT->∑ext, is already present in Taoism (from 1 comes 2 from 2 comes 3 from 3 the infinite beings, Cheng Tzu). It resumes the constant, dimensional creation and extinction of reality (as finally the racialization of so many cells, exo, dissolves the form or the form explodes and dies in a big bang).

The Cycles of the Universe are thus self-repetitive; sine as Taoists understood, the universe you see is not its function of existence, which is expressed in that synoptic equation. The processes of creation and destruction of planes of existence however are too complex to study them as a whole without doing some basic distinctions. To start with there are two different type of arrows, simplex, Se<=>Ti processes, more proper of physical sciences (as in changes of state by increase of ‘—motions’, from solid to liquid to gas or vice versa; or as changes from lineal energetic motions into cyclical vortices, as in E=Mc2), are easier to analyze as they happen in the same place of existence. But we, men co-exist between the quantum and galactic scale of physical objects and between the cellular and social scale of biological beings. And so most of the events we must consider are events that take place between 3 co-planes of existence. In physical events between the quantum, human and gravitational planes and in biological events between the cellular, human and social plane.

The human mind is an I=Eye+wor(l)d who selects perceptively from the infinite number of forms of the Universe only those that matter to us. Thus, we do not see beyond the galactic, gravitational plane; though there are hints about a network structure of Galaxies, a big-bang model, which in organic terms would mean the birth of a first cell-particle that reproduced the entire cosmos and a model of fractal space-times with infinite scales of size that this work represents. Since the classic model of space-time continuum only considers a single light-space, our existential membrane with limits of ‘—motions’ and information (c-speed, 0 Kelvin).

Yet both in human and cosmic organisms only multiple space-time scales explains those cycles of life and death, which happen as a ‘travel between 3 scales of size, the cellular semen, human individual and social super-organism of history. In the same manner cosmology needs to grasp the fact that physical space is organized in 2 planes, the electroweak membrane we exist in and the gravitational space membrane of masses, and gravitational forces, which we do not perceive. Yet it is needed to resolve the meaning of dark matter, dark ‘—motions’, gravitational non-local action, the death of light into gravitational space, its formation of a background radiation, the actions taken place in black holes, etc.

Recap: A Non-Euclidean space or plane, defined by Riemann in the XIX C, is a network space – a space created by a network of self-similar points, related by constant flows of ‘—motions’ and information, whose properties are defined by the degree of ‘homogeneity’ or self-similarity of those points.

So your body is a discontinuous spacetime, a small world in itself, constructed with 3 clear ‘cellular spaces’, the nervous space, an informative network, the ‘energetic space’ – your digestive and breathing networks – and a reproductive space, the blood and hormonal networks and organs. We shall see then reality in organic terms as a series of ‘network spaces’, which will have all the properties of Non-Euclidean spaces (motion, curvature, dark spaces in the ‘holes’ left by the network, etc.).


5D Cosmology. The fractal Generator:  Sp<≈>Tƒ

Perhaps the most extensive field of T.Œ is astrophysics – the study of the scales of matter. It is in fact the one I have researched more after the superorganism of history, despite or perhaps because they are not the self-evident biological planes of existence, where T.œ fits directly like a glove to an entangled hand, Einstein permitted (-;

We want to bring in this introduction only one theme, with many branches, the fractal scalar nature of physical space, along planes of the fifth dimension and once we generate its equation deduce from it the Unification equation of charges and masses, the Saint Grail of mathematical physics, searched for a century with no results (as they are time vortices of 2 different, limiting scales of the Universe) and then the big-bang cosmology and finally the question of the wave-particle conundrum of quantum physics and the meaning of Universal constants. They are the 4 most researched themes of physics, and that is the reason why we shall do a fast survey of 5D improvements on them.

Let us consider it briefly before describing biological systems with the same Generator equation of 5D fractal space-times.

The particle state: masses and charges: vortices of time: clocks of information. Tœs.

This gives origin in physics to certain modes of ‘future’ cyclical time vortices, spin numbers, photons, strong quarks, electrons, charges, magnetic moments, thermodynamic molecules, masses, angular momentums, cosmic bodies, solar systems, ud stars, strange stars and top black holes, galaxies and Great Attractors, which are the ‘Tƒ’ elements of all those scales and subscales, between the minimal observed form, a fermion spin and the maximal one, the Great Attractor region of the Local Universe.

They are all sub-vortices of the 4 fundamental Planes of the Universe, where the 4th is only partially perceived (the cosmic scale outside galaxies of ‘neutrino strings’ ‘Higgs bosons’, dark energy and dark matter), but we do have more vortices than the 3 perceived ones, the electromagnetic, thermodynamic and gravitational scales, as we must apply the ternary principle and break each of the 3 fundamental scales in 3 sub-scales).

So Einstein, used those non-Euclidean geometries that make lines part of a bigger time cycle to study the curved masses of the Universe. And he said ‘time curves (lineal) space into (cyclical) masses’, which he defined with the Principle of Equivalence between acceleration and gravitational mass.

Thus as time curved space into masses, it accelerated gravitation into cyclical vortices. And gravitational, lineal forces became masses the simplest clocks of the Universe; whose attractive ‘mass-power’, was proportional to the frequency of its cycles: M = k ƒ.

This duality of mass vortices and expansive entropy, which already Descartes foresaw, when he affirmed that all what existed were res extensa (space) and vortices of time (masses, charges, galaxies) is the ultimate meaning of the dual equation E<=>Mc2:

Some case examples of astrophysics.

Each science of mankind, which corresponds to an ∆-scale of the 5th dimension is fully renewed and enlightened by the new formalism of its Generator Equation and its analysis of all systems as super-organisms in space, systems that evolve in time, and 5D structures that co-exist across symmetries scales of the 5th dimension. Let us consider for example the case of galaxies, with 3 introductory notes on:

  • The spatial structure of the galactic super organism.
  • The unification equation of masses and charges as symmetric time vortices of the quantum and galactic scale.
  • The ‘death-birth’ cycles of big-bangs and big-crunches of masses, which express the limiting end of the world cycle of physical systems, perfectly described by Einstein’s E<=>Mc2 dual equation.

 The Three Non-Euclidean Regions of the Galaxy. : Sp (Halo)<ST: stars >Tƒ: black hole. 

PARTILESScreen Shot 2016-05-16 at 18.26.57

In the graph, Galaxies are fractals of stars and dark, quark matter built with 3 topologies: a reproductive body of stars, sandwiched between an informative nucleus of black holes and an external halo of dark matter, probably strangelets and other dense stars. The closest self-similarity in our world scale is a cell and in the quantum scale an atom.

Since the fundamental 5D symmetry of galaxies is between the particles and families of matter of the Universe (Graph below) and the parts and symmetries in space of the galaxy. This is the logic of ‘Simplicity and Correspondence and Scientific Evidence’ underlying all disciplines of Science, which physicists have forgotten. Science as Einstein put it, is only concerned with the facts and events known and experimentally proved.

So we must construct the universe, with the particles we know in the ∆-1 scale, ∆ and ∆+1, particle, cosmic bodies and galactic scales. It is then clear the ‘nature of galaxies’ as organic systems, of enormous size, which stretch according to the metrics of the 5th dimension the 3 co-existing planes of:

  • III families of mass of increasing weight and density, the ud-atoms of light matter, the sc atoms of middle density, or strange matter, and the bt atoms of hyper dense matter  that correspond to:
  • III families of cosmic bodies, the ud-light stars of our matter, the strange stars of pulsars and the black hole stars of maximal density, which correspond to
  • The III regions of different density of the ‘galactic cell’, the intermediate region of light stars, the mitochondria of the galaxy that reproduces and becomes on the long term, the generators of black holes (stars converted through nova processes), which migrate and form the ‘DNA-gravitational nucleus of stars’ and generate the strangelet, densely halo of quark matter around the galaxy, creating yet another ternary symmetric 5D space-time structure.

The ternary generator equation for all systems of the Universe, which written in terms of topological geometries is:

|-Toroid limbs/fields > Ø-Hyperbolic body/waves < O-Informative particles-heads

This simple topological equation defines how the 3 parts of all beings are constructed. And remember if you are a mathematical physicists that the universe has no more topological forms than those 3.

So all what exists will be a ‘diffeomorphic’=local assembly of those 3 topological parts. And you just need to fill the names of that geometrical template. An atom will have a O-nucleus, an |-electrons and a Ø-hyperbolic body-wave of neutrino, gravitational and ¥-electromagnetic waves between them.

Indeed a galaxy will have a central, informative black hole, made of the densest III family of positive top quarks, a halo-membrane of negative strangelet quarks, the II family of mass and an intermediate, vital ‘mitochondria’ space of reproductive stars and planets, its body-wave, forming together an spiral organism, which we shall easily show respond to the same mathematical equations derived of the Fractal Generator:

A galaxy and its ternary symmetries between the 3 families of quarks and its 3 regions, is similar to an atom, which displays the 3 same symmetries, with a central quark system of maximal density and positive charge, an external, negative electronic membrane and an intermediate region populated by photonic ‘stars’. We shall unify both systems with the same equations of the 5th dimension that orders all the scales of all beings, according to the symmetries of the 5th dimension.

Screen Shot 2016-04-08 at 00.01.57

And to a molecule, which also display the same symmetries in the thermodynamic scale. So we will write with ‘only those 3 topologies of the Universe’ all the systems of the Universe.

This is what the Universe is all about, and the only difference is the jargon each science uses to describe it. Do NOT think that because physicists speak mathematics, biology, genetics and evolution, societies religion and politics, economists money, they ARE describing different things.

The perception in synchronous space of the 3 elements describes a super organism. Its perception in diachronic time, describes a system through its 3 ages of young-entropic maximal lineal motions, iterative, adult age and informative 3rd age of maximal form, dominated by each on those topologies. And you too are one of such systems. The most perfect in as much as it is the better known which should be the model of all of them. Since as Eddington insisted, physicists invent due tot eh quantum paradox of uncertainty many of its concepts, as they are so big that they modify the observable or do not see it (dark energy, matter).

And inversely in the anti-quantum paradox of knowledge social scientists are so small compared to the observable, the social power, bankster, or military-politico that he yields to power and does not try to build a better world.

So only in the middle biological sciences are not subject to the quantum or Antiquantum paradoxes of uncertainty. In this Eddington was right: man is the measure of all things because it is the thing we better measure.

And so the organic Universe must be compared to our nature, and define the ‘Galacell’ in those synthetic terms as a superorganism of uds, and tbc frozen stars, and then all is simple and evident and far more beautiful that the mathematical description of it alone would convey.

Now it is clear the difference between 5D astrophysics and the present state of ‘fanta-physics’, in which all can happen, all particles that are a mere mathematical equation must be searched for, as there are no rules, no understanding of the space-time symmetries of the Universe, and its life-death arrows. Physicists ARE STILL ASKING, why there are antiparticles (the arrow of death of particles), why there are 3 families of mass (the ternary symmetry of 5D scales of particles), what is dark matter in the halo (the strange quark symmetry between particles and parts of the galaxy).

They do not have the slightest idea of why the universe is like it is, and so all ‘goes’, all can be searched for, including unfortunately nuclear experiments with strange quark matter and top stars (black holes) that can blow up the planet and accelerate its future purpose on the ∆+1 scale – to feed as mitochondria do on a cell, the reproduction of the heavier strange and top quark matter that rules through black holes and strange neutron stars the galaxy.

Let us now consider the ternary topology of the equivalent ‘entity’ to the atom in the gravitational membrane – the galaxy.

A galaxy is a curved, fractal space-time of huge spatial proportions, hence minimal form (inversion of properties between spatial Entropy and temporal information).

And to understand it, we NEED to fully grasp the symmetry between the 3 ∆±1 planes of existence of the physical system:

So first let us Generate all the symmetries of the cosmos, ∆+1, ∆-galaxy and ∆-1 stars with 5D ST:

The 3 planes of Galaxies:

∆-1(particle/atomic scale)> ∆:star-thermodynamic scale> ∆+1: gravitational, cosmic scale:

Sp(Gravitational curved space-time fields)≤ ST (Light-neutrino waves)≤ Tƒ(Cosmic bodies)≈

Sp (young, past entropic age>ST: adult, present, iterative age > Tƒ: old informative, future age.

In the description of Œ∆=3 , galaxies, those symmetries are:

Scalar Asymmetry:

∆+1: Cosmos<∆: Galaxies<∆-1: Stars

Spatial symmetry:

∆-1: Sp: Photosphere ≤ ST: Radiation zone ≤ Tƒ: Nuclei

∆: Galaxy: Sp: Halo ST: ecliptic arms ≤ Tƒ: Black hole

∆+1: Cosmos: Sp: Wall of fire? ≤ ST: galactic plane ≤ Tƒ: Great attractor?

Time Ages:

∆-1: Sp: Gas Nebulae≥ ST: H-R sequence ≥ Dwarf, Pulsar or hole

∆: Sp: Gas nebulae≥ Irregular Galaxy≥ ST: Spiral Galaxy≥Tƒ: Globular, Dark or Cannibal

∆+1: Sp: Big-bang? ≥ ‘Epochs’? ≥ Big crunch or big Ripe?

Now, the reader should notice 2 things, which are quite evident. On one side, the similarity between the largest and smallest scales of physical systems, the atom and the galaxy; on the other the question marks on the big-bang theories, which are themes not so obviously related to the saint Grail of physics – the discovery during my studies of both systems of a way to unify both – the world of charges and masses, hence all the scales of physical systems of the Universe, as they had exactly the same equations in the metrics of the 5th dimension. Indeed charges and masses were clocks of time of the electromagnetic and gravitational scale in 5D metrics, only that the galactic vortex turned 10 up to 40 times slower in those metrics than a charge and were larger in a similar quantity (Sp x Tƒ = K).

And so when I translated the equations of electromagnetism to the jargon of gravitation alas, all the equations matched, those of the electron with the galactic halo, and the black hole radius appeared suddenly as the radius of the Bohr Hydrogen atom…

Thus when I found that the 10 up to 40 relationship between the charge and mass forces (the so-called hierarchy problem), was equivalent to the different of ‘speed of a charge and mass clock’ in 5D metrics – giving birth to an easy unification as time clocks of two scales it was the beginning of a full new field of science, which I called 5D cosmology.

Thus galaxies can also be studied in space as a fractal point with 3 regions that correspond to the 3 ‘canonical’ topologies of a 4-dimensional world – an informative center, an energetic membrane, and the reproductive intermediate zone:

– Max. Tƒ: The center of the galaxy is a swarm of black holes, its densest informative masses, which produces the gravitational, informative waves that control the position of its body of stars. Beyond its event horizon, the accelerated vortex of mass of the black hole (Equivalence Principle) should accelerate light, deflecting it into a perpendicular, hyperbolic, informative dimension of height (Kerr superluminal, central singularity) ejecting it as gravitational jets of dark Entropy at 10 C.

For that reason Kerr black holes should be called wormholes, because they absorb light but let it escape through its axis as dark, gravitational Entropy, at faster than light speeds.

-Max. Sp: The external membrane that limits the inner space-time of the galaxy is a spherical halo of dark matter, probably made of strangelets or micro black holes, which can deviate unwanted radiation by gravitational red shift and/or absorb the Entropy of radiant matter, cooling it down to the 2.7 K background radiation.

Thus those non-evaporating micro black holes and strangelets of great density act as ‘proteins’ do in cells, controlling the inner movement of galaxies and the outer absorption of light-Entropy.

– Sp=Tƒ: Stars, tracing toroid cycles form the inner space-time body of the galaxy, a bidimensional plane or Klein’s disk that feeds the wormhole and reproduces atomic substances and stars. They ultimately evolve into black holes, which migrate toward the central swarm of holes, residing in the nucleus. In any Klein disk distance is measured as motion and becomes infinite when we cannot reach a limit or barrier (for example the barrier of light speed becomes an infinite Lorentz Transformation). So it happens with the border of the galaxy.

We are part of that intermediate space-time in a Milky Way, limited by its central hole and an invisible border of dark matter, neither of which we can cross without dying; since the speed of rotation of matter around the wormhole and the flows of intergalactic dark Entropy that expands space at light speeds beyond the halo would destroy us. Thus we are trapped in this star and planet, in a toroid cycle that will end evolving the Sun into dark matter.

Thus the generator equation of the galaxy as a Fractal ∆-point is:

E:Halo <stars that evolve Entropy into matter> Tƒ (Black holes)

In the image, the structure of the galaxy: stars are created in the intermediate region and the center is occupied by a black hole.

The energetic medium that transfers Entropy to the fractal quanta of the galaxy is the external interstellar gas. Finally the system is joined by 2 networks of forces: the gravitational, faster, non-local informative, transversal gravitational waves at the cosmological scale; and the energetic, smaller, slower electromagnetic waves at the quantum scale.

Let us study the parts of the whole – the 3 elements of galaxies, stars, black holes and gravitational forces that join them.

Recap. Galaxies are fractal ∆-points with 3 standard topological regions: a spatial body of stars and an informative nucleus of black holes. The closest self-similarity in our world is with a cell.



3 physical States: Sp (past-entropy fields/gas)≤ST (present reproductive wave/liquid)≥Tƒ(future particle-crystal)

Screen Shot 2016-03-05 at 16.46.52triple point matter life ages

∆-1(atomic/electromagnetic scale)> ∆:Earth/thermodynamic scale> ∆+1: gravitational/Galactic scale.

Which will in each of its parts follow the space and time symmetries of any system of Nature:

Sp(Spatial toroid fields)≤ ST (Hyperbolic waves)≤ Tƒ(particles of information)≈

Sp (young, past entropic age/field>ST: adult, present, iterative wave age > Tƒ: old informative, future particle age.


In the description of Œ∆-3 , atoms, those symmetries are:

Scalar Asymmetry:

∆-1: h-quanta: ‘Planckton'<∆: Atoms<∆+1: Molecules

Spatial symmetry:

∆-4: Light: Field: Sp: Halo ST: Wave ≤ Tƒ: Photon

∆-3: Atom: Sp: Electron ≤ ST: Radiation zone ≤ Tƒ: Nuclei

∆-2: Molecule: Sp: External atoms< ST: Electro-Magnetic Bondage ≤ Tƒ: Crystal Center

Time Ages:

∆-4: Sp: Vacuum space ≥ ST: electromagnetic wave ≥ Tƒ: Particle

∆-3: Sp: Plasma≥ ST: Atom ≥Tƒ: Elements Table

∆-2: Sp: Gas ≥ ST: Liquid≥Tƒ: Solid-crystal

In the graph, the worldcycle of matter. We an see how the ∆±1 birth and death phase (plasma made of dissociated ions, is the same and closes the cycle.

Thus all together we can write the following Generator combining the a(nti)symmetries of the 3 scales with the formalism of ¬Æ to describe the ‘Human world’ of physical systems:

∑Λ-1: [Sp-Fields≤≥ST-waves≤≥Tƒ-Particles]≈ Plasma: Λ: [Sp-Gas≤ST:Liquid≤≥Tƒ:Crystals]≈Matter: Λ+1: [Sp-Oort Belt≤≥ ST: Planets≤≥Tƒ: Star]

We can understand those processes thus also in terms of ‘translation’ and travel through the 5th dimension, ∆-particle < ∆-1: wave, faster state: motion > Particle-still form.

Let us then consider briefly the meaning of momentum and energy and its conservation laws which ultimately mean the conservation of the 5th dimension. We shall consider two aspects of it: the ternary symmetry of past-fields, present waves and future particles and how the Universe conserves its presents through ‘reproductive motions’, which will finally turn around the whole scaffolding of sciences, as we shall discover that actually the only arrow of time that was NOT organic of the 6 motions found by Aristotle – locomotion is ALSO REPRODUCTIVE, ORGANIC, SO WE LIVE IN A SENTIENT, LIVING UNIVERSE!! which only physicists’ lineal bias and abrahamic ego-trips blind us to.

 Ternary symmetry: Sp: Fields<ST-waves>Tƒ-particles.

Particle physics, the other side of the physics supposedly experienced at CERN – along with cosmology, the replication of the big bang, is a restricted, relatively unimportant science, from the human perspective of our Uo-Plane of existence. But physics in general is not. Physics is constructed with the assumption that mathematics is the only language of the Universe and encodes all the information about it.

Of course it is not. Physical systems, are mere layers of the 5th dimension, fractal space-time beings generated by the same symmetries of time and space than other systems, and so isomorphic to them.

Mathematical physics is in that sense only a part of all the properties of physical systems. Bio-logical properties are far more essential to synthesize the meaning of physical systems, the why and reasons of its ‘Maxwellian demons’ (-; all those points-particles, fractal points of view that gauge information, acct-react to the environment and pursuit actions in space time that maximize its function of existence œ (±∆e, i, ∑œ, ∫U).

In pure existential algebra, ¬Æ, we can deduce mathematically departing from a logic function of existence, Œ, in which 5 different space-time actions delivered by each fractal point, in a given plane of the 5th dimension, traces a series of actions, which are ordered into world cycles, that represent a flow of vital space, enclosed into a series of seemingly permanent perpendicular time cycles that guide them.

Existence as a holography of bidimensional functions of temporal information surrounding expansive fields of entropy to produce reproductive waves is a game which can be better expressed in Darwinian biological ways. Atoms in that sense behave in no different form from animal herds and territorial beasts, and human beings for that matter.

What is then a top predator in a given field of physics is the active magnitude with maximal mass or charge or momentum.

Particle physics is divided into groups, families of increasing

The distance-energy or past field of LARGER spatial size of the system, Sp, multiplied by the V=EXi, speed, guided by Tƒ a quantity of its information-time clocks are constant, within the range of variations, which allows systems to perform actions of energy and information, in present physical system within a certain range for EACH of the planes of existence of physical systems. Let us then consider the main elements of that Generator equation of physical systems starting as usually in an inverse fashion to the mathematical analysis of physics – that is from the synthetic, organic whole and its larger points of view.


This gives origin in physics to certain modes of ‘future’ cyclical time vortices, spin numbers, photons, strong quarks, electrons, charges, magnetic moments, thermodynamic molecules, masses, angular momentums, cosmic bodies, solar systems, ud stars, strange stars and top black holes, galaxies and Great Attractors, which are the ‘Tƒ’ elements of all those scales and subscales, between the minimal observed form, a fermion spin and the maximal one, the Great Attractor region of the Local Universe.

They are all sub-vortices of the 4 fundamental Planes of the Universe, where the 4th is only partially perceived (the cosmic scale outside galaxies of ‘neutrino strings’ ‘Higgs bosons’, dark energy and dark matter), but we do have more vortices than the 3 perceived ones, the electromagnetic, thermodynamic and gravitational scales, as we must apply the ternary principle and break each of the 3 fundamental scales in 3 sub-scales).

Now in physics we can easily consider a generator equation of the 3 states-ages-forms of beings in the 3 scales of its 5th dimension (∆-1: quantum, ∆: Thermodynamic, ∆+1 gravitational scales.

The particle state: ∆-1: charges, ∆-molecules and ∆+1: masses, vortices of time: clocks of information. Tœs.

This gives origin in physics to certain modes of ‘future’ cyclical time vortices, spin numbers, photons, strong quarks, electrons, charges, magnetic moments, thermodynamic molecules, masses, angular momentums, cosmic bodies, solar systems, ud stars, strange stars and top black holes, galaxies and Great Attractors, which are the ‘Tƒ’ elements of all those scales and subscales, between the minimal observed form, a fermion spin and the maximal one, the Great Attractor region of the Local Universe.

They are all sub-vortices of the 4 fundamental Planes of the Universe, where the 4th is only partially perceived (the cosmic scale outside galaxies of ‘neutrino strings’ ‘Higgs bosons’, dark energy and dark matter), but we do have more vortices than the 3 perceived ones, the electromagnetic, thermodynamic and gravitational scales, as we must apply the ternary principle and break each of the 3 fundamental scales in 3 sub-scales).

So Einstein, used those non-Euclidean geometries that make lines part of a bigger time cycle to study the curved masses of the Universe. And he said ‘time curves (lineal) space into (cyclical) masses’, which he defined with the Principle of Equivalence between acceleration and gravitational mass.

Thus as time curved space into masses, it accelerated gravitation into cyclical vortices. And gravitational, lineal forces became masses the simplest clocks of the Universe; whose attractive ‘mass-power’, was proportional to the frequency of its cycles: M= kƒ.

This duality of mass vortices and expansive entropy, which already Descartes foresaw, when he affirmed that all what existed were res extensa (space) and vortices of time (masses, charges, galaxies) is the ultimate meaning of the dual equation:


ST: ∆-1: Waves, ∆-liquids and ∆+1 speeds:

Now those Tœs are ‘static, point-particles’ that share information and energy among them, from their relative static points of view, as the Universe has infinite relative frames of reference (this is one of the great findings of physics that still applies to 5D systems: the principle of relativity). It means that Tœs command a territorial region, in which they have an internal structure of 3 sub-parts, but also are in an outer bigger world in which they communicate with their Tœs on the upper ∆+1, equal ∆ and lesser ∆-1 scales, giving origin to a fundamental ‘second postulate’ of ¬æ. It those œ are fractal points (first postulate), called fermions crystals, solids, stars and black holes, they will then communicate ‘bosons, liquid flows, electromagnetic, sound or liquid waves or electronic current or jets of matter between them:

Future-Tƒ<≈Present wave-field≈> Future Tƒ, giving origin to the second component of physical systems. And again in each scale we will recognize a relative present state with similar properties and symmetries in each scale.

So those flows of communication gives origin to the certain modes of ‘present’, reproductive wave-liquid states in each scale. So in essence bosons, waves, liquids, electric currents and jets and streams of cosmic matter and stars reproduced by black holes are in each scale the same wave fields.

What is then the main parameter of the relationship between the Sp, Tƒ and ST elements of each of those scales. Simply the constants of space-time actions that relate in the simplest possible form, those 3 elements the Metric of the 5th dimension: K = E x T.

That is, the constants of Action of Physics, in its 3 scales K (H)= E x T, (quantum field)   K (k) = E x T (Thermodynamic Field); K (M)= E x (µ=1/e).

Those 3 constants of action, the Planck constant, H, the Boltzmann Constant, K, and the mass Constant, M, are the fundamental elements which define the 3 planes of physical systems in the 5th dimension (quantum, thermodynamic and cosmological planes). Thus their translation into the simplex Metric of 5D physics is the first step to build the entire building of Physical sciences, with a comprehensive understandable, isomorphic formalism, which will return physics to the realm of reality and show the pantheist equality between all the systems of the Universe.

Sp: ∆-1: Electromagnetic Fields, ∆ Thermodynamic Gases and ∆+1: accelerated masses (equivalence principle).

All the capacity of waves and particles to exist comes from Fields, the Sp, and lower scale of pure entropic, expansive, accelerated motions.

They are the lower scales of which in the parlance of physics, waves and particles are considered ‘excitations’, in the jargon of T.Œ eusocial evolutions into tighter denser waves of energy and information and even denser particle forms, knots of waves, themselves ‘excitations’ that ‘make emerge’ efficient workable energy and form from the entropic, loose herds of field quanta.

So we talk also of a series of fields from the simpler, smaller to the larger fields of the Universe, of which the fundamental ones are the ‘strong-field, of the internal region of atoms, of minimal size the electroweak field of light waves of galactic size, the thermodynamic field of heat waves of molecular size

So finally we arrive the other way around to the first part that all physical theories study, the simplest fields. Here we observe one fundamental different or rather complementarity of the way classic physical and 5D physics work: we develop reality from the whole and its generator equation downwards studying first the organic structure of the system in time and space, its T.Œ and actions and then going down we study the wave-Exi present systems and finally the Sp-Entropic, accelerated motions of the micro-fields of ∆-1 particles and lineal momentums which rise and give the energy and micro-clocks that the whole will use.

This of course is a matter of choice, made in T.Œ not to bust the balls of scholars but to complement what they have done. Indeed, the human scholarship today studies mainly the upward arrow of social evolution of the 5th dimension –w without even recognizing it is a social evolution. So, and this is what we criticize, describe the upper systems of reality as emerging from the lower systems, but without recognizing the interrelationship symbiosis and existence of an arrow from the upper T.Œ elements through its survival actions that order the lower systems.

So physicists consider particles to be ‘excitations’ of fields hence some kind of secondary ‘thing’ which does not matter as much as the field itself. Biologists consider organisms, ‘constructs’ of Genes without realizing that once the organism is formed, it is the self, which directs the drives of existence of the being, towards energy information, reproduction and social evolution.

By bringing T.Œ, which is composed playing with words of a series of œ-points which play the game of Tao, of Temporal existence, and survival, by bringing Temporal beings, Time space Organic Existential Beings, into the game, and understanding perception by O-minds that gauge information, we complete the description of the Universe. We of course enlighten also the meaning of the lower scales and use the same formula and evident data, but we add, double reality.

All this said, fields do matter. As without them the emerging more complex social scales that interlock with them and create ternary co-existing structures will not exist, so for each plane of existence we must find a past-relative herd of micro-points, which are treated as indistinguishable particles by the wave-particle system, from where it extracts energy and information ordering it.

3 conservation laws: Energy≈ 5th dimension; lineal momentum: open space; angular momentum: closed time.

PHYSICS, when trying to find the laws of conservation of the Universe they found 2 laws, the law of conservation of angular momentum, which is a cyclical motion, self-centered into a point; and a lineal motion.

The conservation of momentum is associated in quantum mechanics with the proposition that it makes no difference where you do the experiment, the results will always be the same. As independence in space has to do with the conservation of momentum, independence of time has to do with the conservation of energy.

And so we must deduce that there is NOT absolute space, as the location in space is completely independent on the result of an experiment. So all space is self-contained to the event of space-time and region affected by the experiment.

Then there is the conservation of time. If we turn our ‘experimental apparatus’ in a ‘time-like cycle’, this too makes no difference, and so the invariance of the world to angular orientation is related to the conservation of angular momentum; which means all worldcycles of time have a total zero-value, as they close into themselves in the same point.

So we found that the Universe conserves cyclical motions of time and lineal motions of space.

Then there is the conservation of Energy, which is roughly speaking the ‘integral sum of lineal and cyclical momentums’.

In quantum mechanics it turns out that the conservation of energy is very closely related to another important property of the world, things do not depend on the absolute time.

We can set up an experiment at a given moment and try it out, and then do the same experiment at a later moment, and it will behave in exactly the same way. From this we can deduce the principle of conservation of energy. It is a rather subtle and interesting thing, which can only have an explanation:

Absolute Time, duration, which integrates a series of lineal and cyclical motions, adding them to the extent of creating a new scale of the fifth dimension, IS FRACTAL. It does not exist as a continuous lineal infinite time in a single continuous space plane.

As such absolute time does not affect any event happening in time, which therefore is a self-contained process, a cycle related to the internal time of the event.

A Time cycle is therefore a closed, fractal cyclical proposition.

But we can add, integrate time cycles and that creates the illusion of absolute duration; and we can integrate space surfaces and that creates the illusion of absolute extension.

This is what Leibniz called relational space and relational time.

Leibniz would have said that ‘all substances are made of cyclical motions with different speeds = different clocks of time.’ And different vital spaces, fractal parts. And all together create the illusion of absolute space and absolute time.

But we can ad a third element, the ‘Integral of spaces and times’, which give us the concept of Energy, similar to that of a 5th dimension integral. So on the regions of reality where we can conserve Energy, we are observing a process of scalar, social growth of elements of the 5th dimension. And this gives us the fundamental equations for each scale of physical systems, which are the equations of energy for each of those scales:

E∆-1=hƒ for the quantum ∆-1 scale, Eo= RT for the scale of thermodynamics, and E∆1=1/2 mv2 with the limit E=mc2 for the gravitational scale.

Whereas as we can observe, a given Plane of the 5th dimension conserves a ‘constant of bidimensional space’ (h, k, m) and a different speed of time cycles, (ƒ, T, v).

We can study then the interaction of those 3 elements, how they transform into each other through the ‘frontiers’ between those 3 scales, and what it means the different combinations of those formula, specifically the one that defines each constant:

H = E x T, R (or n k) = E / T and m = E/c2

In this form they represent the constant of action of energy and Time of each of the 3 scales akin to the co-invariant law of the 5th dimension. It simply means that in each scale of the 5th dimension there is a certain constant ‘rod of measure of space and time that varies (never mind here that we, humans use for certain measures of time, the frequency, and for others the period: T=1/ƒ).

The enormous field open by the study of the 3 scales of the Universe, its constants of space-time, its time frequency clocks and its 5 Dimensional growth in social scales of energy, is a huge field, which we cannot ‘attack’ in this post.

All this said, it is essential to recognize the existence of 5D and get rid of ‘hang-ups’ from tribal idols of the Germanic idealist school of science (Hilbert, Bohr, Heisenberg, Clausius, and Einstein in mathematics, and small, medium and large physical systems) with its 4 ideological errors: mathematics is consistent with itself not real (disproved by Gödel), quantum physic is only what we observe and only one state at a time (Copenhagen interpretation of ∆-1), the only arrow of time is entropy-motion-death, ∆) and the rod of human electronic measure, space-time light (c-speed) must remain constant and all other ‘clocks and lengths’ of space-time must be adapted to it.

And finally all ‘together now’, the Universe is a space-time Continuum, as the founding father Descartes used a single space-time and Newton made it sacred.

In that regard, we shall save from the bonfire of vanities and weapons, which is the worldview of anthropomorphic religions and physical sciences only one figure, Mr. Einstein; as he did respect Philosophers of Science – always acknowledging the influence of Mach in his worldview, Mathematicians, using the 5th postulate of Non-Euclidean Geometry to r=evolve physics; introducing a first version of a Universe built with infinite cyclical times (so he would quip ‘I seem to be the only physicist that understand that there are infinite times in the Universe running at different speeds), even Mr. Leibniz (‘Leibniz is right, but if so we must throw all physics and start to build it from scratch).

Pity, when he got older he yielded to them, since the Bomb, he sponsored with his letter to Roosevelt make him globally famous. So he corrupted and stop having a laugh to Minkowski and the like. Ultimately, Einstein the r=evolutionary of time, of his youth, couldn’t build all physics from scratch. And could not complete the mathematical r=evolution of Non-Euclidean geometry he did start. So we will just do that. Because one thing is for sure. We won’t corrupt. Physicists will never accept us. And we will not build a bigger bomb to get their respect.

Let us leave it like that – in Einstein’s last sentence: ‘Time is what a clock measures; there are infinite of them, and each has a different speed’…

And ad, for that to happen, all clocks of time must be cyclical, closed motions. So they are finite, they break space into pieces, and each time cycle has a different speed because its ‘perimeter’ has a different length. And because they are finite, as Leibniz explained, absolute time is only the sum of all the time cycles of the Universe, put together as in a puzzle that seems a single plane but is made of infinite little pieces.

Space on the other hand is open. It might seem not that important to set the record straight to understand this fundamental quality that differentiates time from space, but it is the key to it all.

Philosophers though realized of the deformation of time and have often called the interpretation of cyclical time by physicists as lineal space, the ‘spatialization of time’.

Physicists like Hawking have quipped back saying ‘we do not understand mathematics’ and that is why we are envious of his concept of time. Let us have a look at that opinion. Now, arguably the two most important mathematicians of the classic age were two philosophers of science, Mr. Descartes who founded Analytic geometry and started modern mathematics, and Mr. Leibniz, who founded calculus – yes, he, not Newton published first the laws of calculus, though Fermat, an amateur Basque scientist, and fellow countryman, seemingly had figure it out all earlier on…

And as it happens, both Mr. Descartes and Mr. Leibniz were the fathers of the modern scientific concept of cyclical time, precisely because they understood mathematics far better than any physicist did. And in those texts we will evolve mathematics, as nobody has since those 2 completing the 5 postulates of Non-Euclidean mathematics, needed to define cyclical time and fractal space, since mathematics got stuck 150 years ago, into reforming only the 5th postulate of Geometry, and so now is a contradiction between 4 Euclidean and one non-Euclidean.

So we shall prove, we do know as our predecessors in the study of cyclical time, Mr. Descartes and Mr. Leibniz much more mathematics than physicists do. And that is WHY we reason on terms of cyclical times.

It is indeed remarkable that of the 4 colossi of that age, founding fathers of science, the 2 ‘pure physicists’, Galileo and Newton did not understand this obvious truth. While the 2 equal figures, which had however a more mathematical and philosophical background, Descartes and Leibniz, dis grasped at once this ultimate fact of the Universe.

So Descartes, contemporary of Galileo, said that all what exists was made of open space, which he called ‘res extensa’ and closed, cyclical time, which he called ‘vortices’. Nobody understood him though because while Galileo had failed to be ‘the delight of philosophers’, his lineal time had become of great use to artillery masters, which carried the day and made him one of the wealthiest men of renaissance Italy.

Descartes meanwhile had to make his living selling his mind to ‘artillery masters’, till queen Cristina, the ‘Minerva of the north’, knowing he had a poor health, perversely made the 53-year-old Descartes rise before 5:00 AM to give her philosophy lessons, even though she knew of his habit of lying in bed until 11 o’clock in the morning.

She also ordered him to write verses to celebrate her role in the Thirty Years’ War and the statutes for a Swedish Academy. While delivering them to the queen at 5:00 AM, he caught pneumonia and died, saying ‘in winter men’s thoughts freeze like the water’. And so his most important discovery along analytic geometry, the nature of the 2 principles in which reality is founded floundered for a century long.

There is here a pattern which will be repeated between philosophers of science sponsors of an organic sentient universe, of cyclical time and fractal space, ending in relative oblivion vs. the military physicists of lineal time and military power that carry the day and we shall see the pattern in the lives of each century masters of space-time studies: Galileo vs. Descartes, Newton vs. Leibniz, Boltzmann vs. Darwin, Einstein vs.…

And we will return to that historic understanding of perhaps the biggest blunder of mankind, many times, with examples of the eternal fight for the soul of man and his knowledge of the Universe, between us, the ‘good intelligent guys’ (-: philosophers of science and them, the ‘bad stupid ones’, the ‘physicists’ O-: Pity the sheeple goes always with them.

A fast survey of time in modern physical sciences. Lineal External motions≈changes.

Beyond lineal, Galilean Time in the XX century, physicists widened their comprehension of time, in two separate new senses – that of Einstein’s relativity, and that of quantum physics in the realm of particles:

Screen Shot 2016-04-05 at 08.03.44

In the graph, the 2 most important new perceptions of time of modern physics after Newton->Galileo’s vision of lineal time, were those of Einstein->Minkowski’s light cones and Feynman’s space-time diagrams. In the light cone, time is still considered just a parameter of external space-motions, but it appears for the first time the concept of an arrow of ‘future time information’ – that is the information of a different space-time point, which in the future light can reach. This represents the arrow of future information of 4D models.

  Einstein  ‘did know’, when he said: I am the only physicist that thinks there are infinite time clocks in the Universe running at different speeds. Leibniz is right, but if so, we have to rebuild the entire foundations of physical sciences from its beginning… but he didn’t do it. Instead, lineal germans forgot all what he had truly discovered and ‘blocked’ the advance of cyclical time with their lineal 4D space parameter to keep the illusion going.

The classic interpretation of Einstein’s special theory of relativity by Hermann Minkowski, a Lithuanian-German mathematician, it has been clear that physics has to do not with two entities, space and time, taken separately, but with a unitary entity space–time, in which, however, time like and space like directions can be distinguished. The Lorentz transformations, which in special relativity define shifts in velocity perspectives, were shown by Minkowski to be simply rotations of space–time axes.

The Lorentz contraction of moving rods and the time dilatation of moving clocks turns out to be analogous to the fact that different-sized slices of a sausage are obtained by altering the direction of the slice: just as there is still the objective (absolute) sausage, so also Minkowski restores the absolute to relativity in the form of the invariant four-dimensional object, and the invariance (under the Lorentz transformation) of the space–time interval and of certain fundamental physical quantities such as action (which has the dimensions of energy times time, even though neither energy nor time is separately invariant).

This fact is important in 5D physics regarding the metric, E= S x T, when we enter in details on mathematical physics, not so much in other sciences, where the quality of the actions matter more than its equations. It is in that sense important to realize that what is ‘conserved’ in a single plane of space-time, is the ‘quanta of space’ or physical constant, H-constant in the quantum scale, K-Boltzmann constant in the thermodynamic scale and c-speed constant in the gravitational scale. The fact that they are measured in 3 different parameters, action (h), entropy (k) and speed (c), will require some understanding of the biased observation of those constants by humans, more proper of the specialized articles on physics.

What matters here is to corroborate some important aspects on 5D:

– The space of each scale is conserved, and in that sense infinite, it does not expand neither varies (no creationist theories of a single space-time continuum).

– Time varies in its frequency (inverse of duration and the true parameter to use to measure cyclical time: T=1/ƒ), but its product with the energy of the system does not vary in a single plane.

– Time speed=information varies and energy flows between scales, but (and this is a law of 5D which obviously is not advanced by Einstein, unaware of the fractal structure of the Universe), for a 3-∆±1 scales of the Universe both are conserved. And this is truly the meaning of the 5D co-invariance. It means that for each closed system, or ‘worldcycle of existence of a being’ between birth and extinction the system lives and dies into a zero-sum its total time and space.

All this are important Correspondences with Einstein’s work expanded to the 5th dimension, which will be mentioned often when studying the key parameters and events and spatial quanta of 5D space-time beings namely their worldcycle between life and death, and its structure and co-existence in 3 synchronizes scales or states (fields-waves and particles).

In essence, because Einstein, worked with a single plane, and lineal time, Minkowski defined (left image), worldlines. In 5D we will define worldcycles, which is what experience sees. And we will define a total zero sum on a worldcycle of life and death, so time is conserved or rather erased in equal zero sums. Because death is an entropic explosion of information into expanded space across 2 entire planes of the 5th dimension, 3 are the planes in which aw worldcycle exist. As we are born in a cellular scale and evolve into organic and social scales but die back to the cellular scale in entropic death (matter dies back into the radiation, minimal particle scale).

What about the concept of lineal time in Relativity, both Galilean and Einsteinian. Here we must warn the reader of the overblown importance given to the concepts of time in physics which are not only restricted by linearity but by the limits of its philosophy of time.

In the widest sense time is ALL forms of change in the Universe and 5D T.Πdoes explain them all. For example the worldcycle of life and death is the key to understand the survival program of the Universe, its ages and horizons of evolution; the 5th dimension and its arrow of time of parts and wholes to explain the evolution of the Universe and the life and social evolution of humanity. And so on.

The confusion of time arrows in physics.

In that regard, the less advanced concept of time in physics, which still hangs on despite Feynman and Einstein is the idea of a dying entropic Universe.

This concept of ‘entropy’ as the only future arrow of time, or death arrow of expansive disorder, obtained in XIX c. studies of expansive gas, is completely outdated even by the standards of modern physics.

Unfortunately cosmologists have expanded that arrow to the entire universe, because they don’t understand Feynman, Einstein and their findings: that ‘time curves space into accelerated vortices of mass-information’ in galaxies, which balance the entropic arrow of expansive space between galaxies (hence both arrows as in E<=>Mc² , the fundamental equation of time in physics balance each other).

This, Einstein insisted as he obtained first that equation in its inverse form: M=E/c², in his paper ‘can energy create mass?’

And he added, ‘the separation between past, present and future is an illusion’. So did Feynman, with its deep insight on the 3 ‘time arrows’ of particle physics: present, reproductive waves of light-space and ‘bosons’, past arrows of entropic antiparticles and future arrows of informative particles that last much longer in time. So another fascinating, ‘immediate’ equation of 5D physics are the equations of life and death for all systems of the Universe such as:

Life arrow:       Max. Time duration x Min. Space extension: Max. Tƒ x Min. Sp

Death arrow:        Max. Space expansion (big-bang, dissolution of organisms into cells and atoms) x Min. Time (instant of death).

Yet again, the sum of both: Max. Tƒ x Min. Sp + Max. Sp x Min. Tƒ = 0-sum, which makes all scales and closed systems of the Universe eternal presents.

In physics this is the meaning of Feynman’s diagram:

Past-anti-particle x Future-particle = Present light wave, whereas particles last max. Time as they collapse space into minimal size and antiparticles last minimal time while they expand space annihilating particles in the moment of death.

As such Feynman’s work is more advanced that the outdated entropy theory and the so much praised Einstein’s revolution of space-time, who still missed, the ternary fractal, multiple Nature of times and the existence of its 3 time arrows. He simply ‘froze’ space-time in present slates to measure with differential equations (by definition infinitesimal moments) as Galileo did, every instant of an external time=change = physical motion.

Since physical systems are composite of the 3 arrows of time, its relative entropic big-bang past processes of death, its steady state, lineal constants of space-time actions and time clocks, and its relative future, evolving, temporal, informative cyclical accelerated 3rd time age, when its time clocks, frequency, temperature or mass ‘collapses’ into the larger scale.

The best way to describe mathematical physics is therefore to connect its classic continuous space-time equations with those of the ternary fractal 5D space-time Universe. And to that aim we need to define the 3 fundamental elements of mathematical physics, fields, waves and particles as the 3 ternary elements of 5D fractal space-time through the…

Now this is how we formalize T.Œ, by advancing also the fundamental sciences – geometry, completing the work of Riemann, Einstein and others who study the 5th non-Euclidean postulate – the fact that points hosted multiple parallels, and improving over Aristotelian logic, because reality and the languages that express it are ternary langauges where relative past energies and future information merge into present existence in space:

Past-energy < Present-body/wave > Future-information

Or are sequential in time, past (youth) > mature age > Future 3rd age of information.

So far the logic of man has at best studied the second ‘ORDER’ of the ‘fractal space-time ages-cycles of reality’.

Only Feynman had the insight in physics to give antiparticles a past arrow, as it is the case, and only Einstein had some insight on it when it said that the separation between past, present and future was an illusion, and of course Leibniz, the genius, and the Eastern Taoists… So some did imagine the whole thing but now we are serious we are truly formalizing the Universe in its complexity. And this ternary logic starts by defining the Universal Grammar of all languages.

The question of scales.

This is the Planck action the Boltzmann action and the c2 speed action. At this point it does not matter they are measured in units of angular momentum, entropy and squared speed – again human concepts. We might call them bidimensional ‘quanta of space-time’.

This bidimensional quanta of space-time defines not only the minimal unit, the minimal active ‘cell’ so to speak of each scale that we shall called a Planckton (similar to the unit of biological seas), a Bolt and a Mmm… Mat… for matter, Mas for mass, or Mot, for Motion and the God of death?… Never mind, if in the future anyone cares to develop T.Œ further, they will choose.

Today of course we know even in the world of physics that there are infinite time cycles as Einstein proved, that there are infinite spaces, as quantum physics proved, that there are infinite scales of size as microscopes and macroscopes (telescopes) proved, that there are infinite different speeds of time clocks, which close its cycles from the fastest particles to the largest galaxies, that the largest beings move paradoxically slower than the shortest ones.

And we still have the 6 forms of motion in time, generation, evolution through ages of life and the slower horizons of ‘larger’ species, growth in social numbers of cells or individuals, and diminution, both phenomena related to the evolution of physical and biological systems back and forth (so cyclical particles became cyclical atoms, that became molecules, cells, matter, organisms, societies, solar systems, galaxies and so on), as they dissolve their forms of information in the process of death, and yes, I forgot there is this 6th form of motion, locomotion, of which physicists have provided an enormous detailed account with its formula S = vt ≈ ct.

So we have 3 obvious elements or time realities to be studied:

– Cyclical time changes, which can be grouped in the process generation, evolution and extinction, or worldcycle of life and death .

– Growth in scales of size and diminution, across a ‘5th dimension’ (to respect for routine the so called 4 dimensions of space-time), which has the important property of relating the speed of the worldcycles of beings with their size, such as ‘bigger systems in space have slower time cycles’, both in physical systems (slower rotation of larger forms, according to the laws of vortices in 2 and 3 dimensions, Vo x Ro = K, w2 x R3 =K) and in biological systems (faster metabolic rates of smaller animals) and in social systems (slower life span of social species and civilizations that of individuals and human beings).

A fact that we can resume in the most general formula possible of both parameters: Sp x Tƒ= ∆c (Space Size x Time speed =Constant), that we shall call the Metric of the 5th dimension, where ∆ will be the symbol for each plane of space time, Sp, a plane of space and Tƒ, a cycle of time (the need of both symbols for the 2 states of space and the 2 states of time, soon to be revealed).

And then…. Yes, locomotion.

And as it happens, that the process of generation always starts from a smaller seminal seed or first particle, which grows in size by iteration, and accumulation of clonic forms into a larger size, with slower time rates, back and forth through the changes of ages or evolution and social gathering into larger wholes, to die back into the lower scale, we can in fact put together all the previous time changes into a simple logic equation, the equation of the worldcycle, which in its verbal form, translated into a few logic symbols, œ, for any being or ‘function of existence’, ∆±1 for different planes and growth in the 5th dimension, Ñ for its opposite dissolution of a plane in the moment of death, > for an increase of density of form and < for an increase in size, writes:

Birth ∆-1 -> ∑œ∆-1 ≈ Œ∆ < Sp > (S ≈ T)∆+1 > Tƒ < < Sp ∆-1: Entropic Death

This Logic Equation is the equation of a worldcycle that summarizes the 5 motions in time, birth and generation by iterative reproduction, evolution through 3 ages or horizons, Sp, the age of spatial energetic motion or youth, s=T, the age of balance between energy and information when the system reaches its adult reproductive age, and Tƒ, the age of cyclical temporal information or old age, when the lineal motions exhaust or fall into a time vortex, followed by a reversal in the process of growth of information that explodes back into space and entropy, called death.

Now the Philosopher of science has been always interested in describing this worldcycle. And once we have formalized we will use it to describe all what exists and all its process with this 5Dimensional metric. The physicist has converted it into a worldline in a single space-time continuum, in the Minkowski’s 4Dimensional metric, which is just a ‘small view’ of this much larger worldview.

In that sense, I have always seen my work as the culmination of the search for T.Πof which T.O.E. is just a mere footnote.


Evolution of Information vs. Entropic death.

‘The Universe is dying’ Clausius on his hyperbolic expansion of the Sp-arrow of ideal gases to the whole cosmos and beyond.

‘The species with more efficient (in)form(ation) reproduces in larger numbers and survives’ Darwin explaining the vital program of all ST-beings.

So while physics is a fascinating field to advance with T.Œ, it should be obvious to the reader that as all scales of reality are self-similar, and there are uncertainty of perception in physical scales. Thus what truly should matter to mankind is the knowledge of the human, biological and social scales and its symmetries of space, anti symmetries of time ages, and asymmetries of 5D social evolution:

Biological Systems:

∆-1(cellular scale)> ∆: Organic scale> ∆+1: Ecosystemic scale.

Which will in each of its parts follow the space and time symmetries of any system of Nature:

Sp (Spatial toroid limbs)≤ ST (Hyperbolic bodies)≤ Tƒ(heads of information)≈

Sp (young, past entropic age>ST: adult, present, reproductive age > Tƒ: old informative, future age.

In the description of Œ∆-3, life, those symmetries are:

Scalar Asymmetry:

∆-1: cell<∆: Multicellular Organism <∆+1: Ecosystem

Spatial symmetry:

∆-1: Cell: Sp: Protein Membrane <: ST: Cytoplasm ≤ Tƒ: DNA nuclei

∆o: Organism: Sp: Skin, limbs ≤ ST: Body organs ≤ Tƒ: Head

∆+1: Ecosystem: Sp: Gaia < ST: Plants and Territories ≤ Tƒ: Animal Life

Time Ages:

∆-1: Sp: Carbohydrate soup ≥ ST: RNA, Protista age ≥ Tƒ: Eukaryote, DNA Age

∆o: Sp: Plants ≥ ST: Cambric explosion>Sea-life ≥Tƒ: Reptiles>Mammals

∆+1: Sp: Sea Age ≥ ST: Transitional Age (animal sea life, Earth’s plants) ≥Tƒ: Animal Land Ecosystems.




The 3 elements of the Universe: 2-manifolds, 3 time motions and ages, and 5D scales.

3 time arrows

In the graph, the 3 type of motions of the Universe, expansive, decelerating, Se-entropic, past motions; present, vibrating, wave-like repetitive, present motions and future, informative, implosive, accelerated, vortex like motions.

Its sequential combinations in life-death cycles (world cycles of the ‘existential function’), its simultaneous adjacent construction of ternary organisms, with moving, entropic toroid limbs/fields, repetitive, hyperbolic body/waves and cyclical spherical heads/particles of information, and its complex, architectonical design of the co-existing planes of the 5th dimension that build together the systems of the Universe, require the formalism of existential algebra, Æ, departing from the symbols that represent those motions, forms and scales. It will then be easy to represent all space-time events and define the simple symmetries, transformations and inversions of space-time that define the Universe and all its parts.

In the graph, the Universe has 3 different arrows of time, which being time broken into infinite events can travel simultaneously in different regions of space-time towards a local future or past, as when we die ( a past dissolving event) or we live (a future, informative arrow). The combination of both arrows creates a repetitive present, which reproduces a certain form in space-time. Thus we write:

Ω.  Tƒ (future, informative arrow) x Se (past-energetic arrow) = ST: Present iterative arrow.

The 3 arrows of time must be always understood in relationship to the 3 ‘scales’ of growing complexity and organization of the Universe. That means, they can be the phases of a single, ±∆e,i space-time action, or they can be part of a larger, sequential order, as the one represented in the world cycle of life and death, which is a journey through 3 scales of the 5th dimension (seminal-cellular/atomic->Idividual-organic->social/gravitomagnetic), between birth and extinction.

In the case of the perception of those 3 arrows in space, we shall observe beings with fields/limbs of entropic energetic motions hyperbolic bodies/waves that iterate those motions and particles/heads that project into the future and guide the system.

This combination is the one we most often observe, and so we can say that it generates most systems of reality:




How language interferes with reality. The Universal Grammar of all languages.

In Newton’s model there are ‘beings’, whose substance is not considered but reduced to Euclidean ‘points with no volume’  that exist in a background abstract frame of reference, mimetic of the Cartesian graphs Newton used to do its calculus (as if God had drawn a mathematical graph in the ‘background of reality’) independent of those beings. Thus this model which merely ‘translates’ the linguistic tool of the mind – the Cartesian mathematical graph, and affirms IS reality, is called ‘background independent’ space-time. Yet as there is NO experience of that background (there is no absolute vacuum, vacuum is always ‘something’ that ‘fills’ – ultimately light radiation, or ‘background radiation’, so ultimately space still IS light space), this concept seems to be a basic ERROR of logic thought, expressed by Kant – to confuse REALITY with LANGUAGE.

So in the same manner religions say that the language of time humans use to describe reality with ‘verbs’ is GOD, the reality itself, scientists, specially physicists say that the language we humans use to express reality, mathematics is REALITY itself. This ‘simple’, tautological way to define everything goes in science from Newton’s absolute space-time to quantum interpretations of particles as probabilities.

But it IS wrong – a human linguistic ego-trip, similar to that of Abrahamic religions, where ‘The word thy God became man and inhabited among us’ (Saint John’s 1.1.).  And it is also a simple way to give up in the explanation of reality. Reading Newton one notice immediately that because he couldn’t explain what caused gravitation, he came to the conclusion that ‘gravitation’ was a mathematical background space-time. Point. So goes for the quantum masters who could not explain why particles were waves and particles at the same time, and why they could not control them (uncertainty of measure, different behavior in experiments, etc.). So they decided particles and waves were the mathematical tool they used to express them (probabilities).

Knowledge is linguistic knowledge, when after:

  1. A) finding experimental data.
  2. B) introducing such data into regular mathematical and logic laws, the languages of space and time.
  3. C) we create synoptic linguistic models of reality that ‘focus’ the infinite data of the Universe into the ‘finite’ volume of the brain, through the synoptic ‘syntax’ of those languages. Thus we need to go to the basic elements of all linguistic knowledge, and its syntax, to the Universal Grammar of all languages that reflect all events of space-time, such as:

 Λ.  Tƒ (Time function, informative subject) < operandi≈action≈ verb ≈space & time: ST > Se (space element, object)

This Universal Grammar will be very important to our analysis of minds and languages that perceive the 3 elements of the Universe, space, time and its combinations, and how minds use 3 elements to map out reality (for example 3 colors of spatial energy, red, temporal information, blue, and its active combinations, greens and yellows). But we cannot get now distracted with it. Suffice to notice that all mathematical formulae are F(x) operandi F(y), which tend to be relationships and transformations of vital spaces and time cycles, and all languages have a Universal grammar of subject, object and the verb that mixes them. So in general all is really Space Magnitude < Spacetime transformation > Time cycle, and we will return to that.

So far we write both equations, with the letter Lambda, which in the notation of relational space-time is the letter (not number) for all equations related to Languages. So the Universal grammar of all languages is ternary as it reflects the Universal space-time cycle/event, minimal unit of reality:

Λ.   Space < Action of space-time > Time.

So the next task is to fully grasp those 2 dualities together: the duality between mind perception in stillness or ‘information’ and a moving reality of vital spaces and time cycles.

And the duality of the 2 geometries of the Universe, cyclical time clocks that close curves into themselves and lineal open motions. Those 2 dualities will give us 4 elements of reality, which will merge into infinite systems: curves with motion or curves with form, and lines with motion and lines with form.

We formalize the ∆ST Universe, thanks to i-logic geometry and existential Algebra – the two sides of its formalism, which complement each other as classic geometry, emphasizing space and classic algebra, emphasizing sequential time logic do.

i-logic geometry thus ads the 4 remaining Non-Euclidean definitions to the 5th, the only one known till date, basis of Relativity.

On the other hand Existential algebra, studies mainly the 3 dimensions of Time; that is the ternary, causal logic of 3 time dimensions and its relationship with its hierarchical, isomorphic organic, evolutionary ‘∆-scales’.

This POST deals with the geometric perspective.

The study of the Generator Equation or Existential Function and its existential algebra deals with its causal, temporal perspective.

And the 3rd formalism of ∆-scales which is organic, vital, is dealt in the analysis of complex super-organisms.

Symbols of Existential Algebra used to describe the 9+i isomorphisms, social scales and ∆-planes of reality:

Paraphrasing Einstein, i-logic geometry (space p.o.v.) = existential algebra (time p.o.v.) – give us both, the Thoughts of The Creator – the Generator Equation and ‘Its’ details – every part and event of the Universe, whose laws derive from such ‘Thoughts’:

The 3 Arrows/Dimensions of Time: <, >, =.

<: It is the explosive big-bang, death-entropy arrow that defines the creation of spatial energy: O<Sp or past arrow.

 >:  It is the implosive temporal life-order arrow that defines the creation of information: Sp>O.

=, <=>: Is the arrow of present, simultaneous exchange of energy and information between 2 poles: Sp<=>O.

In Universal Grammar is the arrow of self-similarity.

The 3 Topologies of Space are represented by letters or ‘geometric symbols’ (O=Es; O=Tƒ: <=>, Ø =Sp X Tƒ):

– Sp or |: It is the membrane, energetic part, male pole, 3D spherical topology  (in 2, 1D, the plane or line)

-Tƒ, O: It’s the zero point, informative part, brain, female pole, 3D hyperbolic topology (in 2, 1D, the vortex, cycle)

-<=>,Ø, Sp X Tƒ: It is the body, reproductive part, ‘son’, 3D toroid topology, (in 2D, the cone).

The 4 Existential åctions: ∆ï, ∆E, ï,œ û; ∑ , ∏: They, and their combinations, define the program of existence.

 ∆ï is the action of information gauging. It is the 1st Postulate of i-logic, the 1D of information – rotation, cycle.

– ∆Sp is the action of Energy feeding. It is the 2nd Postulate & the 1st Dimension of Energy – length, motion.

 ST=Sp X Tƒ is the action of Bonding that creates complementary systems related to the 3rd Postulate.

– <=> is the action of communication; mostly between 2 points, Sp<=>Tƒ & defines the 2nd Dimension: the wave.

– ∑, ∑û is the action of social evolution, either reproduction ∑Sp X Tƒ, or Herding: ∑ Ei, creating a 3D, width-plane. And its variety:

∏, ±∆ is the action of network creation of superorganisms across 3 existential planes: ∆-1 cellular, ∆-organic & ∆+1 social plane through an informative language. It obeys a power law, as T cycles will create Tƒ  axons. Thus: ∏T>Tƒ

Those symbols define by similarity and combination in sequential sentences/equations all the invariances in space (topological invariances) and Time (causal chains, sequential ages), origin of all the events and forms of reality applicable to all entities of Existence: ∑Sp∆-1<=>∏Tƒ.

Such as the Universe allows any combination forwards (>) and backwards (<) or without motion=change (=) in time; any topological combination or transformation between Sp, Tƒ,<=>; any sequential sum of åctions (∆ï, ∆Sp, Sp<ST>Tƒ; ∑, ∏ ±∆ ) and any ∆±2 jump and/or transfer of energy and/or information between planes of existence (as systems co-exist in 3 scales) but nothing else.



Theme. The center piece of the whole formal structure  of the Universe is the world cycle OF super organisms or fractal generator, a function of cyclical space-time, which describes a whole timespace cycle in all its perspectives:

Γ.                    U∞=    ∑ [Se≤≥St≤≥Tƒ]±∆

What is existence is the mother of all questions. And yet the answer is simple: to exist is to act in space and time with the spatial energy and temporal information a being possesses, performing a series of space-time åctions, which allow the system to ‘feel energy-time motions’ and ‘perceive forms-still spaces, and ‘combine them in reproductive clones that will survive the end of existence’.  We call the repetitive patterns of åctions entities follow through its life-death cycles, the function of existence.

When we express the organic existence in space and sequential events in time of any entity of reality through human logic and mathematical, verbal and digital languages, we acquired knowledge on existence.

This knowledge is NOT necessarily human ‘scholar, scientific, academic, religious, social or artistic knowledge’. Humans have an enormous capacity to ‘invent’ using the ‘inflationary properties’ of information (which being an accelerated vortex of form explodes into ‘information’ that might not be related to reality). In that regard humans show an enormous capacity to invent existential theories, which are subjective and anthropomorphic but respond not to the reality of the Universe; where all systems perform the same ‘Program of Existence’.

Tƒ formalize this equalization of all systems of nature, we do define 3 scales of ‘existential space time’:

The simplest level in which systems made of vital spaces and temporal particles/heads, absorb and emit spatial energy and temporal information, combining it into åctions of existence. This is the æ,e,ï,œ,û ‘åctions’, the minimal units of reality, which become cyclical trajectories through space-time in which an ‘Active Magnitude’ or ‘point of existence’ exchanges energy and information with the outer ‘Absolute space-time World’ in which he is confined.

Each of those åctions of existence performed by Œ, the given function of existence, performed towards the survival of the entity and its form beyond its finite duration can be studied as a separated event. And this is how mostly physics acts: describing trajectories in space-time (without studying its survival biological finalities), of points of existence.

The second level is the study of those points of existence by integrating all its åctions. We then can define any entity as a knot of cyclical åctions of space-time, whose content in energy and information, becomes organized into ‘cellular/atomic parts’, which establish a complex organic pattern with 3 parts, the |-limbs/fields of lineal momentum, the O-heads/particles of informative perception and the Ø-bodies/waves of hyperbolic iteration.

This second level of awareness of reality and its structures thus studies how the existence of individual åctions of space-time become organized into the patterns of survival and social evolution, which define the more formal, complex structure of the Universe, till the system emerges as:

The super organism, the fundamental function of existence of the being. This is the whole study of the being, both in time, as a world cycle between birth and death and in space as a super organism extending across several layers of planes of the 5th dimension.

Thus in this first Isomorphism, resume of all others we merely expose the entity, introduce its space-time functions and translate its knowledge by classic science into the isomorphisms of relational space-time. And all this is embedded in the particular variety of its function of existence:

Œ: Se<ST>Tƒ

The function of existence, as such, œ, is the first element to define regarding the isomorphisms that apply to all systems of the Universe.

Once we have defined this function, œ(s,t), all other elements of the system will be found.

The complexity of the definition depends on the generator equation of the space-time fractal we decide to use.

A simple one is the ExI=C,  (Space x Time parameters = Constant), fundamental equation of relational, isomorphic space-time (∆ST or TS, the most widely symbols used in those texts, which represent both the isomorphic Space-Time theory and the Timespace, present iterative, reproductive, hyperbolic dual function that represents al systems of the Universe).

The function of existence, ∆ST, œ, ST, Se<ST>Tƒ, or whatever other way we want to represent it, is the central element of all descriptions.



Above we have shown it integrated across the time duration of a human world cycle, below we develop it for a man, in terms of its, 3 ‘varieties’ of bidimensional space, the Se, digestive, energetic system, the Tƒ, cyclical, informative head and the TS iterative, time space blood/reproductive organs, and its evolution through the 3 ages of time, the Te, young, entropic age, the Tƒ adult iterative, reproductive age, and the Tƒ, old, informative age:


In terms of space it develops as Se, the lineal, enteric, expansive form, Si, the hyperbolic for and Tƒ, the spherical form.

Thus we have a simple code to explain it all, the æ,e,ï,œ,û system of space-time dimensions and events. The playful understanding of those simplest elements of reality through the manipulation of those symbol with the function of existence, its integrands in space and derives in time, is the ultimate game of reality that we can then apply to each species.

Existential algebra, thus is a first must for all systems that must learn to exist.

Existence vs. extinction, through a world cycle made of åctions of existence, æ,e,ï,œ,û that exchange internal energy and information with external space and time, constantly going forwards and backwards in those flows is the whole game.

So it is also the first fact we must confront when ‘doing Spence’, that is, when studying the different, complementary systems of spatial motion and time cycles, across any of the U=ST planes of existence of the Universe, each one studied by a ‘stience’, is to ‘set up a domain’ or ‘ST±∆’ world or ecosystem in which to define and study a Superorganism and Worldcycle –  an Œ Point of existence.

We thus need to define the parameters of the U∆≈ ST system in its outer parameters of Space-Speed and Time-density, which can be deduced from different fundamental constants:

  • Constant, reproductive Speed, (Se x Tƒ of the absolute space-time)
  • Curvature Constant (gradient/acceleration/field strength: α/s) or the similar concept of:
  • Density (ρ: Tƒ/S)
  • Action (Se x Tƒ: Energy x Time constant)

Those are examples of possible Observables that can be used to deduce the fundamental parameters of the medium.

The internal parameters of the system will then be in proportionality with those of its absolute space-time, from where it obtains its energy and information. And so we shall find:

  • Time-speed of the vital system, which will be in synchronicity with the rhythms and åctions of the world system
  • Energy metabolism of the vital system, also in relationship with the energy cycles of its environment.

Once we have the fundamental parameters of speed-space and time-information of the system, externally and internally, we can further consider the main symmetries and ‘states’, and dimensions of those parameters, for the specific variety of species we observe.

And to that aim, we will start to tabulate its external åctions and frequencies.

Tƒ exist, to observe, move, feed on energy, reproduce information and evolve socially from part into wholes, by performing cyclical åctions of space-time in that external Universe… the study of this pattern, ‘function’ of ‘5 åctions’, ‘reality’ as a dynamic whole, infinity of ∑æ,e,ï,œ,û vowel languages…

There are so many ways to express it as varieties of real isomorphs in the Universe.

Tƒ be made of Vital Space, Se and time Cycles, Tƒ, as to create a feed back polar equation between 2 systems, Se<=>Tƒ, which exchange energy and information with the external Universe, Sp x Tƒ ≡ ST±4…

Existence becomes in this manner a function, a world cycle across a Universe of an entity that performs åctions in space-time of cyclical nature, and it is itself made of a myriad of inner motions of space-time, as a ‘particle≈knot of time cycles’.

Such knots of time cycles, Œ, are rotary maximal volumes in minimal space of logic crossings, between those time arrows that appear as a modular ‘I’, which fluctuates in its apparently moving, but rather fixed from an Tƒ∆+1 points of existence, knotting the will of its æ,e,ï,œ,û cycles

We all feel free as points of existence, but are just knots tied to the cycles of space-time we acct in the external world.

The Mandate of existence: Maximize your Space-Time Actions.

The spatial-temporal ternary symmetry between:

Se: The Spatial entropic, long, relative past motions.

Tƒ: The high, informative, relative, future cyclical motions and…

St: The combined wave-body repetitive, present motions, structure the 3 bidimensional ‘organs’ of all diffeomorphic relative beings:

ST (-∆), St (∆), Tƒ (+∆); made of entropic fields that expand and disorder space by ‘burning’ and simplifying quanta of energy in larger scales of lesser order (-∆), hyperbolic-wave bodies that try to repeat cycles and reproduce the components of the system, and Tƒ, spherical zero-points with an external sensorial membrane that transfers to a central zero point by shrinking without deformation (Poincare Conjecture) the bidimensional perceived world into a mind that controls the whole system

Thus there is in all full systems of reality a center of order, a Maxwell’s devil, the zero-point, or ‘single dimensional soul-mind, which maps reality, 0-point x ∞ World = Constant mapping of reality, into a smaller fast cpu, brain, electronic eye, consciousness, program of existence, and then ‘enacts’ the åctions of the system that ensures its immortality in time-space, its continuity, its repetitive existence through its åctions.

We do not argue in this post the degree of consciousness of the point of view, which is rather an automatic ‘program’ that maximizes existence, imposed by the survival of beings. We just reason why the program must be in all systems that act in Nature in an independent way in reality, where it is located that point of will and in which consists that will.

In brief, systems are generated as varieties of the fractal space-time generator, which can be written as

U = ∑∑ W: ∑[Sp x Tƒ]= ST±4

This less synoptic expression of the generator means that the Universe is made of infinite fractal parts, we call worlds, composed of the 3 components of a system, Spatial entropy, Temporal information and reprod-active limbs/fields, body/waves, heads/particles that ‘act’ within 0±4 planes of relative existence, with its organic parts, to maximize its existence, which means obviously:

  • Tƒ increase its entropic motions, ∆a, to increase its vital, cellular/atomic structural space, ∆e, to increase its gauging of information, ∆ï, to increase its Reproduction, ∆œ and to increase its social evolution, into larger groups, ∆U.

Those 5 åctions that we write with 5 vowels: a for accelerated, entropic motions, e for energy feeding, i for iterative reproduction, o for informative perception and U for Universal creation departing from individuals form the program of existence. And we can spot that program in all systems, through the analysis of 4+1, ‘quantum numbers’, ‘laws of electromagnetic fields’, ‘coding genetic letters’, ‘drives of existence’ and so on.  (Humans tend not to recognize one of those 5 åctions often the social, evolutionary or the simpler motions and its ‘coding’ equations, so most likely you will find 4 ‘equations’ to define a system).

The program of existence does ‘exist’ in all beings, and explain its systemic interaction and why it perceives other planes of existence. It explains its organic structure. It defines a sentient, pantheist Universe in which ‘monads’, unlike the simplified model of Leibniz do communicate (who discussed if his monads did communicate with the Universe beyond its 0-mind mapping perception, but as it was going to be too complex to describe them in their communication simplified the model considering them isolated entities of pure perception).

There are in that sense two fundamental formalisms to study the Program of existence, which we explore in two different sections of this web:

  • The non-Euclidean geometry of ‘points with parts’, ‘fractal points’, ‘points of view’, ‘zero-points’, ‘non-Euclidean points’ , which communicate flows of energy and information to form, social groups, herds and networks that finally evolve together and emerge into wholes with 3 topological parts, which live through a dynamic 3 horizons of existence.

This description would be more objective, external, perhaps more liked by the scientist of the ‘4th paradigm of measure’, with its hidden anthropomorphic belief of Abrahamic religious origin, that only humans are sentient, perceptive, special, organic, living, because the z=6 atom, carbon, is so special (-;


We all live through a Hamiltonian, our existence in åctions on closed paths who cancel each other forces as work becomes entropy, in those cycles.

This is a travel of life and death, a worldcycle, a Hamiltonian. And we distinguish 3 fundamental space-time points that divide sections of a life, the maxima, minima and stationary points.

Such as we can divide a wave of existence in 3 phases with 3 points:

Adulthood, Max. ExI (s≈t), Min. Birth and death points. Steady state points around Maximal, Tangents=√2 at solstices.

A simple function of existence with a maximal in the center at the highest point of amplitude of the wave, SxT=Max. S=T.


Departing from 2 elements spatial energy, Sp, and temporal Information, Tƒ, we can only have events in which energy and information increase or diminish, ±∆e,i, which give us the 4 type of space-time action entities can perform, ∆a: acceleration, deceleration and steady motion in which energy is expelled and spent, ∆e, energy absorption or feeding, ∆œ, information emission or reproduction, and ∆ï, information absorption, or observer’s perception. This, æ,e,ï,œ form the 4 fundamental åctions the Universe codes for each of its species. Why those species want to ±∆e,i, is obvious:

They have limbs/fields and heads/particles that process spatial energy and temporal information, and so they need to exchange it. The game of Existence is therefore literally a series of ExI åctions played in space times, ExIst, thus we call the game the existential game, which all systems of space-time play.

Tƒ Exist becomes then to be a ‘Point of view’, Tƒ, a still frame of reference, a mind mapping, ∂till space and take åctions, in which the inner mind rotates freely into new paths that direct its inner vital space its body-limbs, wave-particle in a direction which will allow the entity Tƒ ExiST, to exchange energy and information through the different planes of space-time of the Universe.

The order of those åctions is also clear. First the observer, ∆ï, or 0-point of view, infinitesimal mind that in its spatula stillness stops time into form, O-Point x ∞ Universe = Constant mapping of reality, observes with an angular momentum, often just a mere 4%, π-3/π, apertures, the infinite, scans, sees, detains, transforms, pixels and notices a source of energy, e, towards which it will move with a mixture of angular and line momentums, its active magnitude, ∆ï->∆a-≥∆e; and as it accelerates through the gradient of its ∆-2 field space, its waves of existence create ripples of information, memories that translate its event for other observers to see.

Once, the observer, arrives to the feeding point it will feed, ∆ï->∆a->∆e, and only in extreme favorable conditions, when filled with excess of energy and information, it will iterate its form, ∆œ, in an adjacent location of space-time. In this manner points of view, fractal entities of the Universe, exist, from the simplest particles of the quantum Universe, whose 4 numbers code its 4 åctions, to bio-chemical systems coded by 4 letters, to living beings who follow those 4 drives of existence – the codes of the Universe code åctions of ∆e,i, which ensure a system to survive. How can we resume them all?

Simple: Since the maximization of the energy and information is what a system seeks for: Max. Sp x I (which happens mathematically when Sp= I), becomes the natural function that resumes the existence of all systems.

Max. Sp x I, thus becomes the ‘mandate of existence’, the ‘Hamiltonian’ closed path of all beings, in which the inverse functions of ‘lineal motion’s (kinetic)energy and ‘temporal cyclical motion’ or information (potential energy in physical jargons), try to reach its maximal, equal point.

This is a confusing paradox. I know. But it is the ultimate inversion and paradoxical truth of the Universe. we are made of two inverse motions, cyclical time(which we call in systems information, stored in the frequency of time cycles) and lineal time (which we call often energy, as lineal motions tend to be associated to momentum and work).

This two inverse functions, shape us, and they can transform into each other. Moreover, their product Max. ExI, is maximized when they are equal, in harmony, in beauty. This concepts thus when applied to the whole of the åctions of a being, start to show the ‘trick’ for the Universe to be immortal, its cancelling balances. We absorb energy by feeding but use it up by motion. We absorb information by perception but use it up in communication and reproduction. All becomes sooner or latter a zero sum.

And yet when we are into it, into existence, it always seems a positive sum for us. All points of view feel free and enjoy their existence. That is the magic of it all. To be a virtual zero sum and yet to be so intense, in its åctions which seem motions with purpose.

Why Ernest said that to the actress? Because the writer has purpose in his character’s motions. He has a plot, he has a direction, he describes an action. Motions are entropic, disordered if they do not have a purpose. The motions managed by the monads that order the Universe, its Fractal points of view have a purpose on their åctions. They are therefore intelligent, sentient.

The Universe has a will broken into infinite points of view, static minds, still presents, that reduce the dimensions of motions to mappings of reality that allow the point to know, gauge, observe and from its frame of reference establish åctions with a clear goal, a clear purpose.

Tƒ Survive.

A function of existence Œ, has vital energetic and informative head/particle wave/body parts, which need to be nourished with new energy and information, and so the game is simple. 2 parts of energy and information that can only emit and absorb them: ±∆e,i, and then they absorb and emit, communicate energy and information, iterate, reproduce, create waves of points that grow into larger Space-Time beings, ∆ST.

Simple, ∆ ExI ST, this is the meaning, the mandate, the purpose, the program of existence: to perform åctions in space and time that are ∆a, motions, accelerations, decelerations that consume energy, ∆e, so the system will feed inwards the energy lost outwards, and then ∆œ, iterate, replicate itself to survive before death. And yet for all that to happen, the system must observe, perceive, absorb information, ∆ï, and so there are always points of view, observers, o-points of information. And in this manner systems go on absorbing and emitting, reproducing, gauging, feeding moving, ∆e,i, and webbing networks of cloned points that grow into Universals, ∆u, ∆+1 new Space-Time ST-planes of Existence.

∆a, ∆e, ∆ï, ∆o, ∆u, move, feed, iterate, perceive, evolve socially, the æ,e,ï,œ,û of existence. In fact the order is a different one:

∆ï->perceive->∆a->move towards the perceived->∆e field of energy in which to feed and use -≥∆œ, the spared energy to reproduce yourself, and then it is the social game of clones that form networks and evolve into ∆u-niversal.


The cyclical åctions between planes of existence create superorganisms

Now we can return to our analysis of cyclical space-time åctions, as they are performed by any system through the different planes of space-time in which it co-exists.

Indeed, the relational space-time Universe of multiple time cycles breaks space into inner and outer fractal regions, creating cloned formal motions, existential beings, which evolve socially along the 5th dimension increasing in size and internal depth (complexity of invariant co-planes that organize its structure), till becoming a complex super-organism.

This is truly the unit of existence of reality, a system of vital cycles of space-time, extended across several planes of organization, the cellular, individual, organic and social U±1 planes in biological systems and the parallel quantum-atomic, Thermodynamic-molecular and cosmic-gravitational U±1 scales of physical systems.

In those multiple co-existing, co-invariant organic scales, beings perform the 5 fundamental åctions of the Universe echoing energy and information with other planes, which are nested Universes that as in Nature, the bigger they are the smallish their minimal points of energy become. So as big whales eat smallish planckton, the largest cosmic scale is sustained by the smallest, invisible gravitational strings.

So we extract motion, ∆a±4 of the furthest biggest and smallish in its quanta, Cosmic plane of gravitational strings.

Then we extract information from the next scale, visible to us, ∆ï±3, the electromagnetic, galactic Universe

And we take energy from the next molecular scale, ∆e±2 of our immediate planetary world.

And finally we co-exist intimately related to our cellular and social ±1 scales, reproducing ∆œ>Tƒ, departing from a seminal cells which emerges in our ∆-scale and then evolves socially ∆+1, into a universal, superorganism of human beings ∫u. And those 5 åctions of existence, which are limited by:

– The existence of only 2 formal motions O Time and – Space, which therefore restrict the needs and åctions of beings to absorb external energy and motion (∂a,e), collapse information into mental mapping and emit it to reproduce externally and finally evolve socially in bigger groups or disaggregate in the processes of death, ∫±u.

Those 5 åctions further one, are inverse, as the properties of energy and information, space and time are. So we could consider that along the entire worldcycle of existence of an active superorganism of vital space and cyclical time, the moving and informing åctions, the energetic feeding and reproductive, emitting åctions and the aggregations and disaggregation of death will cancel each other into a zero sum, which returns the entity after its longest vital worldcycle of life and death to its origin, back to the cellular place.

Minimal åctions: Its physical description: Angular Momentums, Temperatures, Forces.

Actions are topo-bio-logic as everything in the Universe. Physical sciences though do not tend to consider the bio-logic properties in great precision. Thus topologically a minimal action is a meaningful section of a time-cycle, which can be no other than an areolar arc of a radian. The radian is thus the minimal meaningful unit of the Universe, and its minimal action is an m x v x r action, where between 2 points, O1,2 we perceive an angle, given by the arc, mv=P1 and the radius, R2, with the second point.

The unit of the Universe is the cycle of space-time, and yet this cycle as it moves upward, becomes more ‘discrete’, broken in frequencies with gaps in between, since information is lost. So we can see a perfect cycle in the lowest scales, which is an H-Planck action, made of 6 h ‘angular momentums.

This minimal unit of the Universe, an angular momentum that occupies roughly 1/6th of a space-time cycle, which we shall call a Planckton, is the ‘value’ of the ½ spin of the smallest entities, particles. And so we can build a quantitative, realist description on how the Universe is constructed departing from those angular momentums. But as we come forwards to more sensorial, conscious scales close to man, the concept of angular momentum and time cycle, becomes increasingly less reliant on geometries and more on functions. Form is substituted by function, and so we talk of drives of existence. We do not care when we feed if we move along certain paths to the restaurant tor others. The important part is the function. So it is for a particle, as we shall see defined by several åctions, each ones explained by a quantum number.

But and this is the essence of endophysics – of the interference of the observer – we humans observe the quantum world with great slowness respect to its cycles, and with great size. So we see the entire cycle drawn in the space-time, because it is so fast and so small that we see the entire worldview.

The emergence of certain properties according to those arrows and the damping of others and the interplay of the flows of existence upward and downwards through the limitative nature of those 2 inverse directions.

Another sub-discipline of the 5th dimension is to study the way in which populations of spatial quanta become continuous beings, through organic networks and languages, becoming wholes, mostly in decametric scales of 3×3+1 relative tetraktys = S+1. So soldiers become units of ten with a caporal that become units of 10 for a captain=100 soldiers and so on, till filling the classic army (centurion, Mongol units, etc.). This ideal structure has as always in the Universe variations, which account for lesser probabilities of existence.

As the Universe allows freedom of creation but penalizes with less existence, more extinction the paths that do not follow a perfect geometrical structure.

Thus we order all those sub-scales with a new dimension, the U 5th dimension of relative S-ize, and information. The U logarithmic 101o scale that goes from the simplest U=1 force scale through social groups of ±1010 elements that become units of a bigger whole (so 104×10 gravitational strings across 4 dimensions of space-time create an electromagnetic wave of force, 1010 ties of atoms create a DNA cells, 10±10 cells or stars an organism or a galaxy, and around those logarithmic numbers all kind of varieties of species with lesser or larger ‘fractal points-particles’ create new worlds.

U+1: U+1 ≈ 10±10 U

The formalism of scalar space-times describes the Universe as a Fractal System of Spatial Energy and Temporal Information, extended through a 5th dimension of scales in which all those systems obey the same=isomorphic sets of mathematical and logic laws – the formalism of the 5th dimension. In each of those scales species change in 2 parameters, its ‘spatial size’ and its ‘speed of informative clocks’. And both parameters are inverted.

Thus we can refine the ‘equation of relational space-time’ ∑Se x Tƒ=ST, where ST is any relative constant relationship or ratio between both parameters that make up the Universe.

And write it as an inverse function of the properties of its 2 formal motions:

Max. Se (maximal Spatial energy content) = Min. Tƒ = Minimal Temporal Speed of Information.

From where we deduce the Metric of the Fifth dimension:

Se x Tƒ = ST±4

This equation, whose first member is, similar to the equation of relational space-time, now establishes a constant quantity, ST, the co-invariant value of the product of the inner speed of time clocks and size in space of a certain family of species, across multiple relative ‘scales’ of absolute space-time, ST±4, whose combined value is the same, but have different sizes in space and speed of times.

A fact, of enormous importance to understand the scalar, organic structure of the Universe, and the relationships between the microcosms and macrocosms, which can relate to each other, through their co-invariance of size and informative speed of time-cycles, but are essentially different, to the point we can talk of ‘different discontinuous planes of space-time’, and 2 opposite gradients of increasing size and diminishing information, as we change the ±∆ logarithmic parameter of those scales.

The fifth dimension of time thus gives us an enormous range of new knowledge about each point of space-time, now enlarged. This would be from the topological/mathematical perspective the way to ‘widen those points of the plane, numbers, 6 humans, 10 up to 23 atoms, and so on to the full information they possess.

This must also be understood from the beginning. There is nothing ‘new wave’, ‘philosophical only’, ‘speculative’ thought on the model of relational space-time, but as in the case of Leibniz’s insights, a perfect merging of the 3 qualities of the Universe, which is topological, hence mathematical, social; cyclical, causal in its worldcycles of life and death, hence also vital, and biological, in the processes of synchronicity and organization of the time cycles of smaller parts that become wholes.

Leibniz, was not only the father of relational space-time, but the true father of modern science, with his discovery of calculus and analysis (published earlier than newton, with a simpler notation still in use), binary computer mathematics (with his discovery of the 0-1 binary language and construction of first computer machines), the fundamental principles of modern science (with the first formulation of the principle of conservation of energy, and what it is more amazing, his consideration of mass as a form of energy, anticipating 3 centuries in advance, Einstein’s work), and so many other insights in the future of science that we would need an entire treatise to enumerate them, due to his departure from a much sounder philosophy of space and time. And the T.œ. the reader will find in this web, following on his steps, is in that sense also a harmony of philosophy of science and the qualities and quantities of reality, with many insights and discoveries for the future of science, because it departs from this wider, deeper, more objective analysis of times and spaces.

And its mathematical, logic version, requires as it happened in the case of Leibniz’s work, also key advances in mathematical and logic sciences (completion of the 5 postulates of Non-Euclidean geometry, development of a causal logic with 3 arrows of time, corresponding to the 3 phases/ages/horizons/dimensions of any time cycle, its relative, past, present and future dimensions), and in the comprehension of the discontinuous, fractal structure of space-times, with the metric of the 5th dimension.

This slight detour on the philosophy of science needed to understand internal vital space-times is needed to introduce the 3rd fundamental element of the Fractal Universe, besides the duality of formal motions (–Space-speed vs. cyclical time motions), and the existence of 5 space-time, repetitive vital åctions in all beings, the metric of the 5th dimension, which order all those beings is social planes of organization.

Cyclical åctions of space-time

When we accumulate enough worldcycles in 3 U±1 Universal planes of the logarithmic 101o scales of social evolution, a function of existence, Œ, will reach such a size that it will become a superorganism, a U∆±1, partial universe extended in 3 So Planes of Absolute |-Space and O-Time, either the quantum, thermodynamic or gravitational scales of physical systems or the cellular, organic and ecosystemic scales of biological systems. In each of those scales a relative infinite of smaller ±1010 beings will trace a worldcycle of existence as they evolve from seminal to organic to social being of an eco-system of cloned similar beings:


Thus we arrive to the fundamental ‘particle’ of the Universe, which is NOT the whole super-organism, but its minimal parts, cyclical åctions of space-time, which the superorganisms traces in the external world of absolute space-time, in which it exists.

In that absolute space-time the Organism will perform exchanges of energy and information of 5 types to ensure its survival and renewal:

Рƕ: informative gauging that maps in the relative stillness of its logic, cyclical smaller faster brain patterns a memorial conduct, which guides its motions:

-∆a: acceleration and decelerations, that is motions in the external space-time, guided by:

– ∆e: fields of energy in which to feed and store further energy to imprint its information in other region of that absolute space-time

– ∆œ: decoupling, iterating, reproducing its space-time form to survive beyond death, and then

-∆u: evolve with similar reproduced, clone individuals into bigger wholes, social spaces that as they keep growing, create an arrow from past to future of increasing social organization, and co-existences of different ‘planes of space-time’ from smaller to larger sizes, from particles into atoms, into molecules, states of matter, organisms, societies, planetary systems and galaxies…

Thus before we fully understand the ‘stages’ of growth of reality, from ‘Spatial motions’ which curve into ‘temporal cycles’ that become organic systems, which perform with their bodies/waves and particles/heads space-time åctions in an absolute external world, we have to return to that world, and consider how it structures all its planes of relative space-time size.

The inverted properties of time and space.

Now it must be understood that spatial motion and temporal cycles are completely different, of inverse products in most cases. We are NOT talking of ‘same formal motions’, and ‘same logic arrows’ and same ‘Thermodynamic properties’, etc.

But to full understand this divergence we must explore in detail absolute space and absolute time, in its quanta of speed-energy and cyclical clocks of information.

Thus we talk of 2 different kind of substances of the Universe, made of infinite time cycles and vital spaces:

U∆= ∑ S x ∑T =K; where the product expresses exactly the fundamental property of both, Spatial quanta and cyclical time, its inverse value: | S / O t= Œ

Which is one of the fundamental equations of the 5th dimension, what we call the ‘function of existence’, a constant function proportionally different for each species, and scale of reality or ecosystem we study, but always there as a fundamental function that expresses an existential event of space-time.

The commonest being speed: V=S/T Duration = S x Tƒ (Frequency) = l x v = œ.

As those cycles carry the in-form-ation of systems in its frequency and form, we shall use the term Tƒ, and measure it to standardize many physical equations by its frequency, ƒ=1/T, hence:

Tƒ ≈1/T.

While its specific form as a ‘space-time cycle’, a cycle that ‘closes’ a vital space (1st knot theorem), will be studied by ‘bidimensional topology’, called ‘2-manifold’ topology, which is the classification of all bidimensional forms, of which there are only 3, the 3 fundamental type of space-time cycles.

It is then evident, that we can establish a fundamental equation for the Universe, the equation of the ‘speed’ of the Universe and all its fractal parts that expresses the inverse nature of information, and its clock like attractive vortices of time, and reproduction and its waves of cloned forms in space:


The multiple consequences of that equation will be evident as we go onto studying the ‘detailed’ species of vital cycles of spacetime, performing its 5 type of cyclical ST-åctions, constantly micro-reproducing their forms in radiating waves of existential clones, evolving socially back into the emerging U-scale.

We can in that sense start to consider laws of general behavior, of which physical sciences, with the exception of the Hamiltonian/Lagrangian formulation of forces, lack many.

Se/Tƒ=K (Inverted properties of space and time) plus,

Max. Se x Tƒ = ∆(æ,e,ï,œ,û)

the definition of the åctions of space-time and the will of survival of the system, which tries to maximize the energy of its body, Se and the information of its mind, Tƒ; and the rule that maximizes products, Se=Tƒ, and defines the steady state, standing point which all functions seek for, we have 3 general laws,


S ≈ Tƒ

Max. Se x Tƒ =∑Å(æ,e,ï,œ,û,)

as 3 initial elections to ‘play’ and ‘fit’ all other laws of science.

For example, Sp=Mc2, reads, Se = Tƒ, whereas M(Tƒ) are accelerated vortex of time, in the gravitational scale: M=∑Tƒ±4, and ∑=c, the constant involved.

Masses, time cycles transform themselves back and forth into energetic flows: E≤ = ≥M(t±4)

Space is thus always a ‘minimal’ part of a time cycle.

This, Kepler understood when it said that a line is merely a small part (a derived tangent we could say today in calculus) of a curve. This concept, of an infinitesimal part of a longer cycle, which becomes a straight interval, is ultimately the meaning of a present point, which we derive, in the same manner we obtain a Lagrangian worldcycle that sums zero with we integrate.

The parameters of worldcycles: the wider concepts energy and information

Of similar interest for the understanding of those worldcycles is the concept of energy, in physics, which roughly includes both concepts of relational space-time, the energy and information of a system (since in physics ‘all is energy’, that is the energy of rotary motions is also included, and the energy of formal location is included as potential energy).

Thus since energy in physics is the integration along a path of space-time (or speed) of the momentum of a being: Sp ∫p=mv=1/mv2 we can represent the worldcycle by changes on the energy and information of a system, considering a general rule of the inverse properties of space(energy) and time (information), eq.1.2:

Worldcycle and its ages:

∫œ dt = Max. Energy (young-past age) > Energy = Information (adult age) > Max.Information (Old age) << Energetic big bang (death): Max. Sp.

This description of the worldcycle of a system, in 3 ages is the fundamental law of all time cycles of existence, and will be paramount to describe any physical, biological or organic system of the Universe.

As life is a travel through two scales of the 5th dimension, between birth and extinction, through those 3 ages of maximal space-motion, Max. Se, (youth), reproductive balance Se=Tƒ and old, informative age, Max Tƒ, join then back to the ST=∆-+1 cellular plane.

Information≈ time cycles vs. Energy≈ Space

It is now easier to understand why we relate energy to space-speed and information to time cycles.

Since a conservative field does not consider that work is done when a rotary point returns to the beginning of the cycle, it follows that time cycles do not vary the energy of the system, a property which will latter allow us to deduce the immortality of the Universe (as no loss of energy, hence of entropy exists in a Universe made of worldcycles).

On the other hand, information, form in action is measured by the frequency and form of those cycles. And so in a perfect lineal motion there is no information. A property, which will allow us to understand the non-local infinite speed of invisible gravitation.

In the graph below we observe that process and write the equation of existential algebra that describes it in the simplified notation.  The reader could notice even if it does not fully grasp what we just explained, the enormous enlightenment that the understanding of the paradoxes and inverse arrows of scalar space and cyclical time, and the flows of energy and information between planes of existence, should bring to many themes of science.

So dynamically all can be resumed in a concept: the world cycle of life and death which all systems follow as they use their topologies in an orderly fashion:

Now once this is clear, the metric and partial equations and dynamic analysis of motions through those world-planes, will be able to describe an enormous number of phenomena of which perhaps the most important s the world cycle of life and death:

∆-1 (seed) <∑∆-1 (fetus)>i (birth)< Max. Ei (Youth) ≈ Se=Tƒ (adult iteration)> Max Tƒ (3 informative age) <∑Sp∆-2  (death).

If he is able to go through the initial difficulties of understanding the primary concept and paradoxes that structure the Universe, he will learn about a revolution of thought, unlike any other in modern science since a century ago the understanding of the 4th dimension and the paradoxes of quantum physics, many of which find an explanation in the metric of the 5th dimension.

It is now clear what we mean by an immortal Universe, and the null energy spent in time cycles, which become a zero sum that appears also as such in geometrical, simpler physical systems, where there is no work≈energy change when a cycle closes itself.

In the larger view of relational space-time this is also truth: when the cycle closes, the total energy-information of a system returns to a zero sum.

In that regard if we consider each worldcycle of existence, Ω, extended in length across a 5th dimension such as, we establish an interval in which t is no longer ‘duration’ but ‘frequency’, we can plot in this phase space of the 5th dimension, in one coordinates, the size of the system and in the other the time frequency of its time cycles and then we obtain the simplest coordinates of the 5th dimension.

This kind of plots however must be done for families of species across the different sciences of the 5th dimension:

5th     Dimension coordinates: Size ordinates: Space-motion

For example in physics, we can consider graphs in appearance so different as the H-R graph  of the life-death cycle of stars and the table elements to be 5D graphs of the organic evolution of quanta of the SI-2 and SI=2 scales:

In the previous graph, some fundamental worldcycles, which expand the concept of a worldline of 4D metric, to a worldcycle by adding new dimensions, from past to future (which we shall call ages, as we are more interested in its qualitative nature, and treat them all within the metric of the 5th dimension that encompasses the entire evolution of the Universe, across its scales of size and its speeds of time).

We see in the graph 2 human, sociological cycles, the human life death cycle and its parallel social life-death cycle of civilizations shown in the ages of art before war-death; the states of matter which are the thermodynamic ages and its gaseous, liquid and solid state; the ages of stars and galaxies which end in an ultra solid black hole state, and the similar 3 ages of the Local Universe described by the 3 solutions of Einstein’s 4D metric, which must be considered sequential time solutions, not as physicists do 3 ‘parallel Universe’, but rather as Dirac thought and the cosmological constant varying in 3 phases proves, the 3 ages of warping of space into information, which complete the Universe’s time cycle.

So what are the relationships between those 3 dimension of time and the 3 classic dimensions of space, length, width and height?

The human case illustrates them: Young age is dominant in spatial, body, energetic networks, the reproductive adult age of balance in endocrine, glandular and the 3rd age in informative, inner motion.

Simple, the dimensions of time and the parts of the body are symmetric.

Systems are ‘organic’. They are NOT only made of a single plane of existence, a ‘solid’ head/particle and a ‘solid’ body/wave.

The main scales of the generator and its ‘actions’ of space-time.

As scientific equations are varieties of the Fractal Generator and its 4 functions that represent the 4 vital actions common to all species of space-time. Thus in each of those scientific scales 4 functional equations express the energetic, informative, reproductive and social actions that suffice to describe the existence of each species:



4 Vital Dimensions explain the existence of light-space: the wide, energetic, magnetic field; the tall, informative, electric field; the reproductive, long wave speed, calculated as the product of its electric and magnetic field and its frequency colors, which are societies of photons:


In the graph, we have written the 3 dimensions of time, past, slow energy and future, fast information with the human time-clock speed as our relative present, point of view. Since simpler scales are causally in the past; as an entity is created literally by informing, molding with higher i+1 networks, simpler scales ‘cell by cell’. When a light wave moves, it does not ‘displace’ but reproduces its wave motions, ‘warping’ simpler gravitational 1D string lines, by a height factor of –ct (Relativity). Motion is really reproduction of information on a simpler i-1 scale. Thus we describe the 3 Time Dimensions of ‘social evolution’ of light across 3 i-scales as:

– ∑: Color is the 4th ‘social dimension’ of light, made by herding together multiple frequencies of light into a photon, its present, simultaneous space dimension. As space from the perspective of time dimensions is a present ‘slice’ of the total time flow – the 4th dimension of time. While inversely the Present, simultaneous measures of Time, are in Relativity the 4th dimension of space. Yet we reach a sounder description separating those 3+3 spacetime dimensions, by using multiple time speeds instead of a single 4D clock.

+i: Fractal electrons are Light’s i+1 dimension of future network evolution.

-i: The gravitational i-1 scale in which it feeds is its relative, to which it returns after ‘dying’, red-shifting and expanding its length-speed between galaxies (z>c).

Then as light warps into more informative, smaller beings (Max.O x Min. E), first electrons, then molecular orbitals and so on, each new ‘scale’ of light space-time requires the previous scales to be born. Thus causally simpler scales are in the past. When your i-neurons, create your ∏-whole, they are in the past, requiring an action-bit of time to synchronize and emerge as an i+1 whole into the future. That’s why the subconscious rules, and the ‘ego’ merely observes with its electric whole brain waves; or the molecular orbital appears ‘after’ the atomic ones dissolve into the whole.


Further on, complex i+n systems move slower, as they draw more information in a single space-point. A light beam of pure ¥-space informs only a gravitational line so it reaches the maximal c-speed of our spacetime membrane. But there is another parallel Universe of gravitational scales, of E-speed and information-order, made of dark, gravitational energy, quark matter and quark, boson stars (black holes), which are accelerating vortices of w>C and T<0k  beyond the c-event horizon. And since we ‘don’t see’ gravitational information, its relative motion-speed is ∞, non-local.

4 Maxwell equations describe all the actions of an electric field.maxwells-equations






qnumbers4 quantum numbers describe all the 4 ‘drives’ of existence of electrons:

its level of energy (principal number), its gauging of information (2nd number), its reproductive decoupling when they have opposite ‘sexual’ spin number and evolve socially organized by the magnetic number.



4 type of vibrations organize a social molecule.


4 nucleotide acids code the vital actions of the cell:




4 drives of existence – feeding, informing, reproducing and evolving socially – explain the game of life.


In the graph, two coordinates of vital space and cyclical time for biological systems. We in general consider as two parameters in organisms:

– Se: Rate of reproduction in space

– Tƒ: Rate of perception or rotary motion (angular momentum) in time.

A being is made of two functions, perception and reproduction, and a 3rd often borrowed exchange with the environment,

As it happens systems do have a structure of ‘smaller systems’ and they form part of bigger systems.

In that regard there is an important reductionism, beyond the deformation of the form of time cycles, caused by the preponderance of absolute lineal space-time and physical analysis of time durations as a mere parameter of space, which has increased enormously in the XX century, since the publication of Relativity and the Minkowski 4D metric, the elimination as a fundamental characteristic of the Universe of causal, logic processes, biological, evolutionary, survival reasons and sensorial, informative whys, to the nature and purpose of time cycles.

In true form, reality is NOT made of space, but the primary substance is ‘time’, time cycles that break space into an inner and outer region (fundamental theorem of knots and topology), and that precise game of cyclical forms-motions that break and organize space into vital regions, harnessing its ‘energy-motions’ into forms is all what the Universe is about.

Thus relational space-time turns upside down our understanding of the Universe from a mere, simple spatial description where absolute time is a parameter of space, to a cyclical description where space is a slice in the flow of cyclical times, a region surrounded by a time cycle, a ‘path’ in a ‘Lagrangian’ of åctions whose final sum is always zero, if we were to use some of the advanced concepts of physics we shall translate to the new paradigm; a ‘moment of present’, in the whole cycle from past to future that closes those paths.

For the same reason, the minimal unit of reality is NOT a string of space, but an interval of cyclical time, specifically a cyclical ‘action’ with form, a bit of information. In physics from where we have borrowed heavily conceptual and mathematical terms to describe all space-time cycles, the unit is indeed an action of energy and time, which manifests itself in the 3 main U±1 scales of the 5th dimension, the quantum, thermodynamic and mechanic scales, as a Planck’s action, h, a temperature vibration or a force.

In cellular biology as a circadian cycle of transformation of energy and information, from an ATP to a genetic cycle.

In organic life as an action of feeding, informing, reproducing, evolving socially, moving, ∂æ,e,ï,œ,û.

In society as a similar economic, cultural, social or military action of a nation or civilization.




The 4 actions of energy and information or 4 local dimensions of space-time beings, or 4 arrows of temporal existence, self-similar jargons for the ‘4 letters of God’, if you were to use mystique terms, are: In/Form/ation, Energy, Reproduction and Social Evolution through a linguistic network.

Those 3+1 actions of space-time define all events of all entities of the Universe. Their study under the ternary method gives us the why of those entities, its actions, ages in time, scales and topologies in space – all the ‘details’ of each particular ‘function of existence’, EóI, which is one of the ‘infinite’ expressions of the ‘Program of the Universe’, each one a being of reality.

So those actions are expressed by the 3+1 dimensions of space-time in the scale of forces, by the 4 quantum numbers in the scale of particles, by the 4 nucleotides in the scale of DNA and RNA molecules; by the different organelles of cells; by the senses and physiological systems of organisms, the 3+1 drives of social organisms, the 4 actions that we all humans perform, the 4 ‘memes’ of metal that together shape the economic ecosystem (simplex energetic weapons and informative money and complex reproductive factories and informative networks of machines.)

Let us then resume those 4 time arrows, actions and topologies, considered in more details in different books of this series, for the ‘main ternary scales’ of Universal super-organism, both in matter and life:


1st scale: The 4 dimensions of space-time

Space-time is not abstract. The Galilean paradox of perception shows that it is made of light as light is what we see and what we consider space. It has the same 3 Euclidean dimensions plus color. It always remains some light (background radiation) in space-time. And so we shall talk of a ‘substance’, light-space. Then Einstein discovered that there is space-time we do not see, larger than the Euclidean light-space, or gravitational space, which was also more curved. But we are not concerned here with the substance and form of that more complex, bigger ‘scale of reality’.

Light is our space-time. Thus the 4 dimensions of light and human space-time are the same.

They express the 4 ‘vital arrows’ of light as a complementary species of energy and information:

1. The arrow of energy and motion is expressed in the magnetic field.

2. The arrow of information and form is expressed in the electric field.

3. The arrow of reproduction in the dimension of length, the speed of light, c, which Maxwell deduced by multiplying the other two arrows, exi (Maxwell equations)

4. And the arrow of social evolution in its colors, which are groups of frequencies, gathering of multiple photons.

Yet since the Universe is relative in all its directions, those 3+1 arrows must be considered relative to the point of view of the Observer (relativity theory). That means that when the arrows ‘emerge’, the so-called ‘diffeomorphic principle applies’. The arrows and dimensions of a being might change orientation. For example in humans, relative height is the arrow of information, as all systems need perspective to perceive. So in sociological systems the priest, the politician or the antenna is also on top.

Yet in plants, which absorb form, information, atoms from the floor, the roots are their relative ‘high’, and the energetic ‘leaves’ the relative ‘low’, opposite to that of animals, which prey on plants and have the head on top, as they get information from the sun. But this example proves certain basic relationships between the 4 arrows of time, which dimensions express: The arrow of energy and information are opposite (two dimensional beings) or perpendicular (some 3 dimensional ones), as they are all their geometrical properties (lines vs. cycles, planar or spherical vs. hyperbolic topologies in 4 D, etc.). Both are then perpendicular to the arrow of reproduction. So in lineal systems, the head is on top, on bottom the limbs and in the middle the arrow of reproduction. That is the case of human beings. In electromagnetic fields, energy and information, electric and magnetic fields are perpendicular and they are perpendicular to the 3rd arrow of reproduction.

Those 3 arrows thus are found in all systems, as it is a fundamental law of emergence that the properties of a simpler system, emerge in the more complex systems created by the social evolution of individual cells of the smaller scale into the higher scale. So all systems, which are made of complex light condensates do have functional/formal dimensions related to its own arrows of time.

And this is the ultimate reason why the World is mathematical.

For example, humans have the high dimension of informative heads, the low dimension of lineal limbs, the perpendicular central dimension of erectile penis, which are inverted in the ‘energetic, male species’ and the ‘informative, female one’ (inward uterus). While the body reproduces its cells in the dimension of width, and fat people are ‘wide’ so are strong, muscle-driven one.

So finally the 4th dimension, which is NOT necessarily a space dimension, but might be, as it is related to the organization of reproduced cells. So we could consider that the same width and length are the dimensions that give volume to the body. But the 4th dimension is always more complex, it is really a dimension of temporal information, a linguistic dimension, a dimension of perception. So it is color, a language that animals use to survive and orientate their existence in the life ecosystem. In our organism the language is chemical for the internal cells and nervous for the whole organism. Yet as emergence exists in all processes, the nervous system often translates its language into chemical messages (hormones, calcium expression of synaptic messages), to ‘talk’ to the lower level of cellular existence.

In a more complex analysis, what we call light space-time is really an Euclidean space with motion and so the existence of a mathematical substrata of geometric nature and 4-dimensionality in all systems of electromagnetism, which is the essential force of our universe, should not surprise us. The nature though of the multiple worlds and points of view, minds and representations of the information of the Universe, entities of light space-time store are many; and the mathematics of them are fractal and non-Euclidean.

2nd scale: the quantum numbers express the 4 dimensions of electronic and quark superorganisms.

Head-on collision of a quark (red ball) with a gluon (green ball), from protons with opposite spin, represented by blue cycles. The particles ejected from the collision are a shower of quarks and one photon. The simplest particles, quarks and electrons reproduce, even if anthropomorphism denies that ‘meaning’ but require a different spin orientation – the ‘sexual factor’ of simple particles. We shall see once and again that mechanism and denial of organicism is not a ‘reasonable doubt’ but a question of egocentric beliefs –humans always prefer a theory, as bizarre as they might be, that make him the center of the Universe.

The next scale is made of social, fractal gatherings of light photons and the language of expression of those fractal organisms of photons, called electrons are the 4 quantum numbers:

An electron traces energetic cycles described by the principal quantum number; feeds on energy, changing the spatial form of its trajectory, a fact explained by the secondary quantum number, orientates its spin to leave space to an identical but inverted ‘genre’, an action described by its spin number, and gauges magnetic information to organize itself socially, an action described by the magnetic number.

So the first quantum number indicates its body-energy, the second number its structural form, the spin number its reproductive duality in each shell and the 4th number uses the language of magnetic information to evolve socially in networks of particles.

And those 4 numbers define the electron as a Non-Euclidean quantum knot of complementary energy and information. The similarity of quantum electrodynamics and quark chromodynamics shows that the same concept roughly applies to define the other fundamental particle of the Universe – the quark.

The electronic world thus move along 3 fundamental scales: it is the upper scale of the world of light and the lower scale of the world of atoms enslaved by the central quarks and vice versa: the electrons encase the quarks and its forces within the interior of the atom, forming a superorganism regulated in its actions of existence and complementary structure by the 4 forces, which are the ‘expression’ of the actions of those initial bricks of life.

The Magnetic field.

It has to be understood the magnetic field as created by a spiral electric field. Thus it is created by the electron as its ‘informative language’. Its effects are similar to those caused by two particles that enter in communication: the alignment of its ‘existential momentum’ exi to ‘start’ a parallel trajectory/ conversation. In tis case the magnetic field emited by a electric charge, conforms the electron to a parallel trajectory and so any magnetic field ‘talks’ and makes socialize any other group of electrons. X-Perpendicularity with contact, are relationships proper of feeding, energetic relationship[s; =-parallelism, is proper of informative flows. We conclude that magnetic fields are the informative language of particles as electric fields are its energetic, motion component. The B-field by exercising a force both perpendicular to the v of the electron and the magnetic field emited by other electric flow causes the electron to deviate in parallel to the emitter, creating a grow of order and synchronicity, which is the essential first step of creation of ehrds and social organisms – a force of parallelism that approximates in parallel flows herds of self-simialr beings and we observe in all systems. In the atomic system is caused by the magnetic field that aligns the spin of particles and cause motions that do not affect the energy/celerity of the particle but its orientation in space. As such is akin to the centripetal force in the similar gravitational world of macrocosmic masses. As the responsible for the location and change of position, and group behavior of different particles, the magnetic field becomes the informative field of electrons. But where it comes from ultimately the magnetic field, if not from the ‘impression’ of the previous scale of gravitational space-time? A question that goes beyond this example into the meaning of the different scales of a structure of social evolution, in this case:

Plancks of light (i-2: light wave) -> Photons (social light)-> Electrons (fractal waves of photons)-> Nucleons  -> Atoms -> Molecules…

In essence in all those scales we shall find an informative force of i-2 microscopic pixels used by the macrocosmic particle to communicate information, which will therefore show less energy; this is the magnetic field among particles. Then there is an i-1 force of bigger pixels that become ‘bites’ absorbed and fed into the organism in a perpendicular attractive/repulsive game. This creates point particles. In this case electrons absorb photons, which are the ultimate ‘bosonic condensates perceived as points of an electronic nebulae’ cells of the electron. So the electron uses magnetic fields, which are one of the two components of a Planck of light (h), to create waves that communicate information about its position and strength of the group to other electrons, which suffer then a change in its trajectory to position itself in parallel to the original current and ‘absorb’ the talk. Though there is much expeirmentla evidence to gather with this ‘new approach’ to the whys of physical particles, the laws of scales are clear. And so the same game means that condensed electrons somehow become a nucleon. And vice versa: a nucleon that changes from neutron to proton is in fact ‘emiting’ an electron, cell of its inner structure, and by the same rule nucleons communicate with ‘photons’ the language of colors or rather pions, super-condensed photons.

And so following the same scales atoms and Molecules communicate with electrons and nucleons (H+ being the ‘universal language’ of molecular ‘voices’ that communicate ions even in biological systems, as simple as in the language of sexual hormones that differ only in that ‘vowel’.)

3rd scale: The 4 universal forces express the 4 actions of atomic superorganisms.

The Universe creates dimensional form by reducing the motion/speed of a physical system and vice versa: it creates motion/ speed by eliminating dimensions of form. So a 3 dimensional nebulae of matter collapses into an accelerated mass vortex, in which, according to the Equivalence between gravitational forces, masses and cyclical acceleration (Einstein’s relativity), is an attractive whirl of spacetime. The Equivalence Principle establishes a Universe with 2 limits of eternal movement: a lineal speed with a c limit or electromagnetic force; and a cyclical speed or mass, which is a vortex of space-time also with a ‘c’ limit of speed, reached in the heaviest objects – black holes. Thus radiation and mass eternally transform into each other the lineal and cyclical arrow of inertial movement: E (lineal motion)<cxc>M(Ti) (cyclical motion).A light wave reproduces at c-speed an electromagnetic surface of lineal space. On the other hand, a mass whose limit is a black hole that turns at c-speed is a cyclical entity that balances the lineal movement of light forces with its inverse cyclical movement, to maintain an eternal dynamic balance of cycles and lines.


How atoms express their 4 actions? As all other systems, using ‘bits’ and bites’ of their inferior i-2 scales, by emitting seeds of its own i-1 scale and by sharing energy and information with species of the same scale. Yet to understand all this, first we have to correct the main error of quantum physics – its misunderstanding of the paradox of Galileo. Since charges and masses are not substances, neither fixed forms, by cyclical, rotational vortices of electromagnetic and gravitational, lineal forces, curved into temporal information: E->I, where E is the force and I the charge or mass, the vortex/clock of information of the i-1 gravitational and i-electromagnetic scales, as the previous graph illustrates. Indeed, according to the Strong Principle of Equivalence of Einstein (between gravitational forces and masses), a mass is defined as the frequency of a vortex of gravitational forces, which attracts more the faster it turns, and the smaller it is (Vortex law: Vo x Ro= K; thus E=Mc2 + E=hv -> M = k v, where mass is proportional to the frequency of the vortex.) Thus masses carry most of the information of the i-1 scale of the Universe and as vortices of information they might aperceive in their structure a virtual map of reality made with ‘graviton pixels’; in the same manner i-electrons are ‘charges’, vortices of electromagnetic information that create ‘electronic images’ in mechanical and human eyes. Thus:

Informative ‘perception’: Quarks process and probably ‘aperceive’ gravitation, which is absorbed by its mass, a cyclical vortex of gravitational information.  Electrons perceive light-space and form our minds.

Energy ‘feeding’:  Atoms ‘feed’ on the next scale of forces, lines of electromagnetism that warp around the atom and become ‘fractal’, dense photonic points of an electronic cloud of information.

Thus beyond gravitational forces (energy with ‘infinite’ speed-distance – non local, >c – and beyond our perceptive scale, hence with nil information, observed as ‘nothingness’), light becomes the energy that feeds the atom and warps into dense photons, the points observed within the fractal structure of the electron. In the same manner, it might be worth to explore if a condensation of gravitons could create gluons, whose condensation could create quarks, by symmetry with the better world of electronic matter.

Reproduction: Both quarks and electrons seem to reproduce as all other species, by creating first, ‘i-1 seeds’ photons and gluon, micro-particles that evolve back into bigger quarks and electrons.

The 2 inner atomic forces express the complex actions of reproduction of its two type of particles, the weak electronic and strong quark force…

Eusocial evolution: Further on, the weak and strong forces produce interactions that evolve and reproduce lighter particles into heavier ones.

The Eusocial evolution of electrons in groups is mediated by magnetic fields. The strong force evolves quarks into Nucleons that are hold together by its ‘residual’ nuclear force.

Fission and fusion processes are mediated by weak forces and are the main evolving and reproductive processes of atomic systems. Thus, the weak force, which has a temporal parameter, must be defined as a temporal force that ‘transforms’, evolves and mutates particles into each other, reproducing them.

An interesting law of all systems is the symmetries between the internal and external networks and actions of the organism that accomplish the complex and simplex arrows of the system.

In atoms, it is expressed by the duality of inner and outer forces to the nucleus of the atom, which express the inner and outer complex and simplex energy and information arrows:

–     The strong force is the arrow of inner social evolution that organizes the quarks into a whole. And its outer expression is the arrow of gravitation, the arrow of information of the outer superorganism of atoms, the Universe…

–     The weak force is the arrow of internal reproduction, which intervenes in the processes of decoupling=iteration and creation of new particles and it is related to the external arrow of electromagnetic forces that provides the energy to the Universe at large.

Further on, as we grow in scales of atomic organization, the derivatives of those 2 elemental forces assembly nucleons and electrons: nuclear forces assembly nucleons and van der walls forces molecules.

The laws that relate the 4 actions of any systems (its relative causality in time and size in space) are met also by the 4 forces/actions of atoms, expressed in the law of range, such us:

Gravitation (informative force) < Electromagnetism (E Force) < Re (Strong Forces) < Evolution (Weak)

Max. Spatial distance/Speed < Medium Spatial Energy < Small Se < Minimal Se x Max. T (weak force).

Ternary structure and ages:

An atom is a space-time field divided in 3 species, quarks of informative mass, gravitational and electromagnetic networks of information and energy in the intermediate space-time, and the external, body – an electron, which bends light into ‘fractal’, ultra dense photons, the cells of the electronic nebulae.


The 3 parts of the atom correspond to the 3 canonical topologies: Strong forces and quarks are described with hyperbolic topologies; the electronic body forms a concave, external sphere; and in between wave-like forces transfer energy and information between both poles. The same structures and forces will surface again in the structure of molecules.

Further on, there are 3 ‘families’ of mass and particles of increasing ‘mass-gravitational information’, which represent the 3 ages of evolution of atoms.

The ternary principle applied to masses shows the temporal, evolutionary nature of those 3 families.

Some surprising findings of GST applied to quantum theory.

We could also wonder in that line of thought the nature of ‘color’, the added quantum number of quarks:

it is a quantum number, a ‘spatial property’ or a temporal property that defines the 3 ages of time of a quark? Probably both. The 3 colors are ‘inseparable’ because they might be ‘3 dimensional networks’ orientated in 3 angles to complete the dimensional form of the quark. For that reason we cannot separate them: a quark is then NOT a full partile, but only 3 are a complete system, equivalent to a single electron (3×1/3= 1 charge).

Yet we could speculate also with a general rule: ternary, odd properties tend to be temporal properties and spatial pairs tend to describe spatial properties.  So an interesting question with not so easy response as it seems is: are we seeing the same quark in 3 temporal phases, or 3 quarks with different dimensional orientations?

In any case according to the inversion of properties, Es x Ti = K, the smaller faster vortices of quark-mass mean that their ‘time clocks’ are ‘faster’ than those of electronic species, reason why 3 ‘temporal cycles’ of quark charge might add to form one of electronic space.


4th scale. Molecular systems. Matter States.

A molecular system emerges as the next scale of atomic organisms, and hence it is the external expression of the four action of atoms – its social evolution.

As all other scales its properties and actions emerge from the fusion of those of their lower scale and so the electronic orbitals of molecules fusion the body of atoms (see graph of atomic structure). But molecular evolution fusions the external body of atoms, not their nuclei. When the quarks fusion in condensates they create ‘dark matter particles’ made of quark condensates, which according to the dominance of information over energy, create stronger top predators, neutron stars and black holes (probably top quark stars), that feed on ordinary matter.

In molecules, however the ‘nuclei’ remain separated. We could compare this to the duality between neuronal cells, which are cells with a very dense nucleus of DNA molecules, and muscle molecules with have a huge cytoplasm and multiple nuclei. This would be a closer representation of molecules.

As such the key element of those molecules are the same bodies and heads of atoms but the cytoplasm, the electronic cloud becomes the more relevant part.  The result is a simplex 102 speciation along the body and informative parameters of atoms (valences and mass) – the atomic table:

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, E=10i=2 complementary exi 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.

Head/body/limbs of molecules: atomic super-organisms.

I: The Nucleus of the atom is its head and the gravitational force, its informative force that quarks perceive. In Molecules, those nucleis remain mostly inactive, as they do not fusion and evolve together.

I=E: Body: The electronic orbitals are its body and the electromagnetic force-feeds it.

E: Limbs: Gravitational strings over which the atom moves becomes the ‘limbs’ and energy elements. The electromagnetic fields, which the electronic cover uses to displace but also to evolve socially with other atoms (valences, van der walls force), become its limbs.

One has to think of such structure as the dual structure of our body/head, which has also 2 pairs of limbs, the arms which are really the limbs of the head that manipulate and rotate more than displace the system in energetic balance; and the legs which are the limbs of the body and move us in lineal trajectories in space. It is worth to consider a possible homology in an atom in which the quarks use the higher gravitational force to position around a center by rotational motions the spatial structure of the rest of its electrons and molecular forms provoking the different secondary, ternary and quaternary structures of complex molecules. Since topology is the key to the interaction between complementary systems, which are like puzzles that assembly and dismember chemical organisms with atoms that specialize in head, body, limb systems (for example the life ecosystem, in which N are head-atoms, C-formal, body atoms and O- the energetic limbs that move amino acids), we could consider quarks to ‘calculate’ the position and orientation of the atom and the electronic body, the ‘legs’ that connect it and bound it to others.

Again we observe that in all more complex systems we shall find this duality of internal/external arrows, which widen our understanding of them. For example, in your organism, you have an inner informative, nervous system, that organizes socially your cells, connected to external senses that communicate you informatively with the external world. And you have a digestive, energetic system that absorbs energy from your ‘territory’ which in animals is clearly limited by its ‘motions’ during a day, and in humans by an economic system (the energetic system of the upper social scales). All those dualities, symmetries and complex relationships between time arrows is the ultimate essence of general systems science, whose logic and topology and laws of eusocial evolution from a complex, fascinating web of relationships that structure the Universe.

States of matter are the distinct forms that different ages of matter take on. The gaseous, energetic young state, the liquid, reproductive one, and the solid, informative network. The gas is a herd of minimal social evolution, extended in space, which creates then semi-permanent bonds as liquid, with a viscosity that allows complex mixing and social evolutionary or reproductive processes with catalyzers or fusion and fission processes.

Those 3 states however are born from a previous ‘particle state’ of atomic matter, plasma…

The cycles of states of matter narrate its genetic origin on the past birth from a big-banging age.

Historically, the distinction is made based on qualitative differences in bulk properties. Solid is the state in which matter maintains a fixed volume and shape; liquid is the state in which matter maintains a fixed volume but adapts to the shape of its container; and gas is the state in which matter expands to occupy whatever volume is available.

As we move to the next molecular scale, the inner network forces of the atom become ‘covered’ by the more external ones, which grow in importance:

The strong force is the informative, denser force still structures the ‘head/nucleus’ of the atom and now might act as an informative language to position the atom in complex molecular structures.

The electromagnetic force is the energetic, body force that structures the shape of the electronic orbit. It gives now origin to valences and complex Van der Waals forces, which become the main molecular expression of their 4th arrow of eusocial molecular evolution.

The gravitational force might still be the pixel of perception of nucleons but increasingly covered by perception of electromagnetic forces and orbitals. And as molecular systems increase in size, till entering the cosmic level, of eusocial evolution, gravitation is the arrow of perception and electrons the arrow of feeding.

Molecular orbitals emerge from the properties of its individual atomic orbitals. Thus they follow the laws of emergence, and its mathematical combinations and ratios, but once we have emerged, the ‘details’ of the 4 arrows of space-time will differ. For example, to establish the formal structure (shape, topology) of molecular orbitals the L number no longer apply. The different molecular orbitals of a given fixed energy level, are then classified with a new quantum number, λ, defined as:  λ = |ml|

Following the spectroscopic notation pattern, those molecular orbitals are designated by a small case Greek letter: for λ = 0, 1, 2, 3, orbitals are called σ, π, δ, φ… respectively. And they have the ‘usual topologies’ of energy (sigma orbital), information (pi orbital) and its combinations. And its further evolution gives birth to the states of matter, which are energetic (gas), reproductive (liquid) and solid (informative) ‘ages’ of molecular fields. Yet as in the case of atoms and particles, time is completely reversible in molecular organisms and so those states can mutate between each other.

Another question is the molecular language. It seems obvious by the simplicity of hormonal codes and even complex messages in proteins and huge macro-molecules reduced mostly to a small active site that the language is simple, electronic according to the scales which use i-2 ‘pixels’ as language and i-1 particles as food; and so it must be reduced to positive and negative ions of ‘different’ force and ‘intensity’ (as the case of Ca+2 used in neuronal languages or the duality Oh-, H+ that differenciate sexual hormones). This simple language gives us 4 ‘letters’, +, ++, -, –, to codify any 4-dimensional language as it is all what is needed in a Universe of 4-dimensional actions in any scale and world: You can build all realities if you can ‘order’ any species to do ‘one of its 4 actions’. The species will then put in march its own actions that will in turn result in building with other species that have received your simultaneous field order as superior i+1 being the effect desire by your ‘plan’ for that part of your organic, ‘territorial order’. In this manner infinite states and actions of billions of agents come together into that marvel which is the program of creation of more complex synchronic structures.

Macrosystems program microsystems by inducing on them one of their 4 inherent actions. The Universe collaborates more than imposes, but the collaboration is tricked by the bigger plane which ab=uses its smaller fields of energy and working cells that will toil for him, induced by its ‘discharges of energy and form’ to billions of microcoscopic ‘agents’.

5th scale: Planets and stars.

Atoms and molecules forming huge fields of the 3 states of matter, are the ‘cellular units’ of complex physical molecular organisms, mainly stars and planets (if we consider in this introduction, only celestial bodies formed by the condensation of molecules not of quark states of heavier families of matter).

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. E: 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.

– ExI: 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. I: 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 EóI, cyclical rhythms corresponding to their arrows of time. We observe one of those ternary structures and cycles – the continental cycle that breaks the ‘whole’ into 3 sub-continents, affecting the evolution of life, ‘the hyperbolic’ informative quanta of the Earth’s ‘flat, energetic, external membrane’.

Yet if the Earth has a ternary structure in space, it means its 3 st-regions also perform the 3±st 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…


5th scale: Stars.



The H-R diagram shows the 3 ages of stars, through its energy & information parameters.

The life, evolution and death of stars are depicted in the H-R Diagram, which classifies stars according to its E & I parameters, as the atomic table does with atoms:

Max. Se: Brightness or Magnitude, which is a spatial parameter that grows with the size of the star.

Max. Ti: Spectral type, (colour or frequency), which classifies stars according to its temporal form.

Yet the H-R diagram is only a representation of the 2nd and 3rd ages of stars – since the young age of the star as nebulae of max. spatial extension and min. formal complexity (as all young ages are) is not represented. So we add on the left side the 1st age of a star as a nebulae of max.extension. Then the H-R graph shows the 3 ages of stars and the main laws of ExI cycles applied to them:

– (st+1): Most stars are born as spatial nebulae of max. extension.

– Max. E: Then they implode into blue giants of max. energy.

– E=I: They reduce its size and grow in atomic complexity through a mature, yellow age of balance between their Se and Ti parameters. The sun is now in that balanced age…

– Max. Ti: They collapse in a 3rd age of slow decline as its IxE parameters diminish toward its death, becoming white dwarfs.

st+1: Or they evolve in a loop of growing IxE force (top right graph), mutating into a Worm Hole.

The H-R graph shows the process of evolution of stars into black holes, which we
 explain with an homology based on the duality of energy and information natural to all space-time species ecosystems, by comparing light ecosystems like Earth and gravitational ecosystems like a galaxy. On Earth animals use light as information and dominate plants, which use it as energy. The hypothesis of G.S. theory is that stars are ‘gravitational plants’ that merely feed and curve quantic, gravitational space-time, while black holes are ‘gravitational animals’, which are able to process gravitation as information and control and shape with gravitational waves the form of galaxies, their territorial space-time. Again this hypothesis is gathering increasing evidence: today we know black holes emit jets of dark matter; they catalyze the creation of stars; they feed on stars and transform them into black holes, etc. Thus a few stars do not die but molt into black holes as soft larvae evolve into hard insects.

6th, 7th scale: networks of stars and black holes form galaxies.

This comment leads to a better understanding of a galaxy as a ‘gala-cell’ organism, in which black holes are the ‘informative’ DNA that catalyzes the reproduction of stars and organizes the system:




In the graph, he 2 membranes of space-time, the quantum and gravitational membrane interact in eói events of transference of energy and information in the limits of the existential function of the light membrane: the limit of energy-speed, c; the limits of temperature-form, 0 k, in quarks, black holes and regions of transition between light and gravitational space.

On the other hand, Galaxies deploy the 3+1 topologial networks, ages and actions of all systems.

A galaxy isa curved, fractal space-time of huge spatial proportions, hence minimal form (inversion of properties between spatial energy and temporal information). Thus galaxies can also be studied in space as a fractal point with 3 regions that correspond to the 3 ‘canonical’ topologies of a 4-dimensional world – an informative center, an energetic membrane, and the reproductive intermediate zone:

– Max. Ti: The center of the galaxy is a swarm of black holes, its densest informative masses, which produces the gravitational, informative waves that control the position of its body of stars. Beyond its event horizon, the accelerated vortex of mass of the black hole (Equivalence Principle) should accelerate light, deflecting it into a perpendicular, hyperbolic, informative dimension of height (Kerr superluminal, central singularity) ejecting it as gravitational jets of dark energy at 10 C.

For that reason Kerr black holes10 should be called wormholes, because they absorb light but let it scape through its axis as dark, gravitational energy, at faster than light speeds.

-Max. E: The external membrane that limits the inner space-time of the galaxy is a spherical halo of dark matter, probably made of strangelets or micro black holes, which can deviate unwanted radiation by gravitational redshift and/or absorb the energy of radiant matter, cooling it down to the 2.7 K background radiation.

Thus those non-evaporating micro black-holes and strangelets of great density act as ‘proteins’ do in cells, controlling the inner movement of galaxies and the outer absorption of light-energy.

– E=i: Stars, tracing toroidal cycles form the inner space-time body of the galaxy, a bidimensional plane or Klein’s disk that feeds the wormhole and reproduces atomic substances and stars. They ultimately evolve into black holes, which migrate toward the central swarm of holes, residing in the nucleus. In any Klein disk distance is measured as motion and becomes infinite when we cannot reach a limit or barrier (for example the barrier of light speed becomes an infinite Lorentz Transformation). So it happens with the border of the galaxy. We are part of that intermediate space-time in a Milky Way, limited by its central hole and an invisible border of dark matter, neither of which we can cross without dying; since the speed of rotation of matter around the wormhole and the flows of intergalactic dark energy that expands space at light speeds beyond the halo would destroy us.Thus we are trapped in this star and planet, in a toroidal cycle that will end evolving the Sun into dark matter.

Thus the generator equation of the galaxy as a Fractal st-point is:

E:Halo <stars that evolve energy into matter> Ti (Black holes)

In the image, the structure of the galaxy: stars are created in the intermediate region and the center is occupied by a black hole.

The energetic medium that transfers energy to the fractal quanta of the galaxy is the external interstellar gas. Finally the system is joined by 2 networks of forces: the gravitational, faster, non-local informative, transversal gravitational waves at the cosmological scale; and the energetic, smaller, slower electromagnetic waves at the quantum scale.

The 3±1 ages of galaxies.

Further on, the life cycle of a galaxy goes through 3 ages, evolving from a young, extended nebula into an old small wormhole of informative mass that dies in a quasar big bang of dark energy and quark matter. In between, galaxies live a longer, mature toroidal, cyclical steady state, fluctuating every 14 billion yearsbetween its spiral and elliptic form, while absorbing interstellar dust, which creates new stars and feeds the central Worm Hole.

The 4 actions of galaxies.

They also perform 4 actions:

–       Max. E: they feed on the interstellar gas trapped by the ‘two spiral limbs’ of the galaxy.

–       E=I: Stars, their body, reproduce matter.

–       Max. I: The black hole, with its hyperbolic, tall form, might use dark jets of gravitational information to communicate with other galaxies, evolving socially with them in complex wall, filaments and ‘tissues’.

–       Re: black holes produce ‘seminal jets’ of matter that create irregular galaxies, which start a new cycle. In the graph we see M-83 ejecting such jet and forming a small son-galaxy at its end.


In the graph, the Universe is a super-organism of cellular galaxies, joined in clusters, walls and filaments, maintained in balance by flows of invisible gravitational forces of information and repulsive flows of dark energy. Since we do not perceive 96% of this scale, the last one in extension, we can hardly observe its two networks of ‘galactic energy’ and dark matter (central webs), which resemble the blood/nervous duality of other superorganic networks. Yet we know the Universe lives through 3 ages, defined for its total space-time by the 3 solutions to Einstein’s equations, departing from an initial ultra-dense, informative ‘particle-cells’, the ‘seed’ of the organic Universe: the young, energetic big-bang age, the steady-state, intermediate phase and the implosive big-crunch of the future.

8TH and 9th Scales: clusters, walls and the Universe.

The Universe can be seen in space at the ‘speed of interaction’ of its flows of non-local gravitation and then it appears as a super-organism with an external membrane of energy (the ball of fire of the background radiation); a body of galactic cells, and a hyperdense center – the great attractor, probably a huge black hole.

And  it can be studied in time, considering the slower clock-speed of electromagnetism, through its 3 evolutionary ages, between birth and death, as its energetic space becomes curved by time and increases its form, creating more complex structures, stars, galaxies and clusters.

Let us briefly consider its less understood structure in ‘simultaneous space’, related by non-local gravitation. The 3 parts of the  Universe seen through gravitation are:

– Max. E: The background radiation of the big-bang explosion became the external membrane of that fractal point. Indeed, when we observe the Universe in space in their outskirts there is ‘a wall of fire’ that emits a background radiation of photonic energy towards the internal regions of the Universe with a red shift near 50 times the speed of light. 
The speed limit of our light-space is obviously C, the speed of light. Yet it is not the limit of speed of the Universe, since the world of gravitational dark energy moves faster. The discontinuous border between both worlds is described by Lorentz Transformations (left). But black holes breach those discontinuities, emitting dark energy (center) that drags matter in quasars like 3C279 (right) up to 10 times the speed of light.

Max. T: The Universe should have a nucleus of enormous gravitational density, a hyper-black hole, connected to a network of dark matter, which acts as its informative brain since it ‘forms’ through non-local, gravitational forces, the shape of its galactic networks, as the DNA nucleus of a cell controls the form of the organelles that reproduces its quanta. Thought the nucleus is a gravitational knot invisible to us, we have found a very dense region of dark matter called the Great Attractor, which might be that center. That informative singularity will keep growing and attracting other galaxies in a generational cycle, till it explodes again its form into energy in a physical big bang, similar to the one that created our Universe.

– E<=>T: Both create the intermediate S-T of the Universe, where galaxies reproduce matter and light. It is, as in any Fractal Organism, the ‘visible space-time’, created through the ‘invagination’ of the outer membrane of light energy and the inner nucleus of dark matter. That dual light/dark network, which structures the Intermediate Space-Time of the Universe, was proved in the past years.

Finally to notice that the function of existence and space-time parameters of a galaxy shows a surprising parallelism between the equations used to define the mass of quarks and black holes, as well as those used to define waves of stars and nebulae of electrons. Already Einstein used that parallelism to model the universe as if each galaxy was a hydrogen atom (Einstein-Walker equations).

If that is the case, and scales repeat from atoms to galaxies, the infinite repetition of those scales between those two ‘immortal states’ that of galaxies and atoms, could imply an infinite self-replicating Universe.


–       3rd to 5th Scale: Life systems: light atoms, carbohydrates and cells.

The 3 main C,H, O. N atoms and basic molecules define the 3+1 arrows of life in organisms.

– H+ is the main energetic bite of cellular organisms, which constantly use H+ proton bombs and add or eliminate, oxidising or reducing molecules to activate its ‘motion processes’.

– C is the main in/form/ative, structural atom of carbohydrate molecules.

– O is the acting, exi, or reproductive atom of those molecular chains…

– And N is the informative atom or ‘head’ of the systems. Accordingly they define the main molecules of life, structural, C-chains, informative nucleotides, rich in nitrogen, and complex proteins that peg themselves reproducing more complex systems, playing with the O, OH structures of oxygen systems.

Nucleotides express the 4 arrows of genetic organisms.

In genetics, the 4 bases play the role for the code of life. 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.

T- heir 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.


In the graph, the simple sexual hormones are ‘feminine’ and ‘masculine’ because they merely deliver a message of informative, alkaline, implosive reaction of an energetic, acid one. Thus Oh codes for ‘in/form/ative’ or inhibitory reaction and O for energy, excited, expansive reaction, which will become, as they emerge in higher scales, the duality of the female/male sexes.

Hormones in plants, as well as in animal organisms are a mystery for researchers as they are simple molecules, which however provoke all type of complex effects on their organisms. This is however easily explained from the perspective of General systems sciences, as they are just ‘messages’ delivered to the ‘memorial’ organism of cells, which merely code for a basic action, already known by the cell. Thus the carrier of a message only needs to reveal a ‘code-word’, sort of a password delivered by a messenger, who doesn’t know what is delivering, but both the receptor and emitter know.

This explains the basic duality of hormones, which express a positive, energetic action or an informative one or a reproductive action. Accordingly the two simplest hormones are testosterone and oestrogen.

Cells. The drives of life: feeding, perceiving, reproducing and evolving socially.

In the left side, the cell has 3 topological functional 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 energy 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.

– ExI: RNAs dominate the intermediate space-time, directing the energy organelles, mitochondria or chloroplasts that produce energy; and the informative ribosomes that reproduce products, pegged to the Golgi apparatus – a membrane’s invagination.

The vital cycles of the cell.

In the graph, 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 EXI core duality we find an expansive intermediate, cyclical region with all kind of slavish organelles that perform their energy 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±1 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 energy; 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.

– Re: The combined effect of the accumulation of energy and information within the cell triggers the reproductive cycle, guided by RNA and DNA molecules. Mitosis is in fact a process of replication of a cell that happens as an alternative to its death, at the end of its life-death cycle (S1-G1-S2 periods). This life/death cycle shows an astounding regularity:

– ±st: Cells live a generational cycle with 3+1 phases: S1(1/4th of a time) or young, energetic age, in which they grow its cytoplasm; G1-mature age (1/2th of the time), in which they reproduce its DNA; S2, 3rd informative age, in which they replicate its ‘cyclical clocks’, enzymes that regulate and accelerate the warping of the cell, provoking A) its possible death; B) its replication in to two cells.

– ∑:  Finally cells evolve socially into macro-organisms. Yet only the RNA-DNA system creates complex informative, control networks.

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.



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