Home » ‘¡logic » 2.Duality: ¬ST

# 2.Duality: ¬ST

“Call information entropy. Nobody knows what entropy really is, so you have the advantage.”

Neumann to Shannon, on the science of duality that studies the two inverse arrows of timespace of the Universe, entropy=pure motion and in/form/ation. And the ignorance humans have of their properties.

‘Philosophy of Science will be completed only by a set of principles regarding information similar to those of Physicists in the study of entropy and locomotion.’

Searle. On the goal achieved in this web.

“Space and time of itself sink in shadows. Only its union exists.” Minkowski. On ð♥\$: ðime-\$pace §ymmetries

‘Space ≈ Time’. Luis Sancho, on the symmetry between space and time dimensions in the Universe.

Basic symbols of Existential Algebra (¬Æ):

Sp, |, \$t, Spt: Past, lineal, entropic Space-Time, gaseous, limbs/fields of pure motion.

§ð, Tiƒ, ƒð§, O: Future, cyclical, informative, space-time, solid, crystal particle-head states

S=T, Si=Te, Ø, ST, SxT: Present, balanced, Space-time; iterative body-waves.

Œ: super organism, composed of @ (fractal points, monads, minds), an ST body-wave, its ¬ Entropy limits encased in an ∆§t±1 world.

Ðimotions, Ð1: seed, perception, Ð2: locomotion, Ð3: reproduction, Ð4: social evolution, Ð5: Entropy.

Scales: ∆-1 plane of ‘past, entropic parts’, ∆º plane of present body-waves, ∆+1, plane of future minds

Operand: <, growth of motion, «, growth of entropy, > growth of information, » growth of form, ≤≥ =, balanced stœps of present.

Classic Operand: ∑: superposition, sum in a single plane; ∏: entanglement through ∆º planes; ∂: finitesimal calculus, ∫: integral whole.

Fractal Generator: Any combination of those symbols is a potential partial equation, hence event or organic part of the fractal generator that describes the whole superorganism word cycle between birth and death:  Γ: ∆œ-1 ∏ œ-1≈Œº<\$t>Ø-ST>§ð« ∑œ-1

Nt. The symbolism often has errors due to my lonely work for decades and laziness, so erroneously I use ∆º for the mind scale which is ∆¹ not to look for the superscript symbol (∆º is the body scale, but since the mind is a ‘cartesian infinitesimal fractal point that believes to be infinite, confusing his inner linguistic world with the whole, 0-mind x ∞ Universe = Constant world, it helps to the confusion. Indeed the mind is zero, the scale in which it exists is the outer world, ∆1); in old texts I used Sp (lineal space-time past) and Tiƒ (informative future) but in modern texts I prefer the more precise \$t and ð§. In future texts and corrections I try to change ∆º for ∆1 as the mind is precisely the perception of the whole being within its larger world). Regarding the Fractal Generator and all its sub-equations, is also a bit of a mess. Sorry, if the blog had more viewers I would have tried harder. Another error almost corrected was to consider the 5th dimotion of entropy that of social evolution, in a ‘wishful thinking’ about a future for mankind based in social love, gone in my third age, seeing how æntropic mæn continues its bid for entropic anthropic extinction by lack of respect to the fractal cosmos.

Foreword:

Duality>Dilogic>Bilogic species.

The previous two quotes signify the fundamental principle of reality in the 3 ages of the scientific method, the religious, mechanical and organic age: the duality of reality made of motions with forms, of bidimensional ‘2-manifolds’, of ‘holographic bidimensional surfaces’.

Space is form, with no motion as perceived by a mind, which reduces reality to series of slices of time-synchronicities between fractal points, T.œs performing its dimotions of existence as infinite moans of reality. Spatial minds try to make sense of all this and form a picture image in a still synoptic language that reduces to the essential ‘moments’ of existence, those cycles – standing points of change between ages, key regions of the topologies in which the T.œ contacts with other points and transfers its ‘metric momentums’, etc.

We thus need to explain the flows of motion that allow the stop-images of all forms perceiving to understand how those stop images will step, change and become in time another stop image.

Languages do that THROUGH its logic which is the MORE COMPREHENSIVE LANGUAGE OF REALITY, reason why when we considered in the second line what Minds hold, we talked of bio-topo-logic worlds. The monad is a point-particle of topologic non-euclidean geometry which will start through the 5 Dimotions the 5 Postulates of non-E reflect its interaction with the Universe reduced to its world of perception to achieve the organic goals of short time, feeding on energy and information, medium time, reproduction and Deep time social evolution to ensure its survival.

But as each fractal point belongs to a larger whole it might have restricted capacities within the superorganism set by the ‘entropic limits’ and function it deploys into the larger whole. And this means NOT all fractal points need to understand the whole. Few do understand more than a simple mono-logic of selfish view, trying just to ‘eat’. Indeed, feeding entropic perception of reality is the commonest, as æntropic men, the majority of human being notably the macho one-dimensional species shows.

However even those monologic species will be aware of the existence of their own death limit of maximal spatial territory, S where they will suffer entropy themselves, or maximal temporal form, where they will freeze in contemplation of the absolute. Heat and cold, the two extremes of Dante’s inferno, or Frost poems, thus set each RELATIVE SI=TE (ab. e=I, exi-stence), and so we talk after monologic of the Dilogic or Bilogic of existence.

Even then the being will be better described in its whys of behavior in ¡logic form than mathematical form, which is better to understand ‘numbers’ – social groups performing in an extended ‘reproduced, organic, clone space’ any of those 5 Dimotions of existence.

In praxis then we shall follow the natural order of whys in the description of beings, as performed already in several parts of the blog. We shall then describe for each reality first the will or entity or mind that starts the process, and its Bio-topo-logic rules of engagement in its larger world, which will define its complexity and existential game, which we will then describe for either a mono, bi, tri or pentalogic species of mind and its parts within that world, which will belong to the disciplines of astrophysics (nested ∆<|4| worlds), biology (∆<|3| worlds), sociology (∆<|2|) or ¡logic (∆<|1|), since ultimately all languages are reflections of an ¡logic grammar, and so all formal languages are part of ¡logic thoughts.

We shall consider in this post Duality>Dilogic> Bilogic, the terms we use most commonly for it which by lack of self-discipline I constantly mix but ideally when this blog-seeds explodes into the philosophy of stience of the III millennium into an immense volume will required 3 subdisciplines – Duality will be the most extended – the philosophy of a Universe generated initially by two simple elements, formal space and time motions; Dilogic will be the abstract rules of engagement for all beings, and bilogic, the ‘biologic dual logic of species’ which are bilogic in its perception of reality in 5D: space (sheets of motion as in laminal motion so common on fluids, flat arrangement of atomic networks, such as graphene which takes advantage of the perfect ‘pi’ with no holes of perception of the hexagonal 6-triangular forms) or l@nguages (black and white systems of perception), or time (sterile systems reproduced by enzymatic ones who therefore have only two ages of existence) or scale, parts which are related to wholes and lack a ‘Deep time perspective’) and so on.

The entangled Universe then can display a complex Dilogic for each of its bilogic species, but for the future researcher that has gone a ‘grasp’ of the inner rules of fractal entangled space-time beings, will be easier as it is for this writer to discern what kind of phenomena he studies and classify its existence according to the type of logic that causes it.

## ∫T<∑St>∑e x ∏i>§ð<<∂S

SUMMARY:

1. Duality
2. @LOGIC:Duality paradoxxes.
3. TIME DUALITY: CLOCKS
4. 2 manifolds of space DUALITY.Y
5. Non-Æ:The 2nd Isomorphism: MATHEMATICAL DUALITY
6. Bidimensional forms in physical systems
7. MANIFOLDS of biological systems
8. 2 manifolds in of social systems.

General systems and the science of duality.

General systems is the name of the aborted science we have resurrected without the permission of physicists and its naive realism, which considers all the elements of reality, including also those who cannot be ‘seen with mechanical, spatial instruments’ and quantified with mathematical equations.

Specifically at the death of Einstein, a group of information theorists, gathered in New York, to discuss how to expand the limits of Physics, as a theory of only a single time arrow, lineal motion, and its expansion, entropy, to describe the Universe.

They wanted as Steane said in our first page of this blog to introduce the second arrow of information And so they created a new scientific discipline called alternately Systems Sciences, Theory of Information or Complexity, which would put the ‘world upside down’ so to speak, and explain it all departing not from motion and space, but from time and information, as information is stored in the ‘cycles of clocks’ according to its speed and frequency (so the computer measures its informative power in frequency giga-hertzs).

It was easy to see that such treatment will show a Universe clearly inverse in properties and goals, structures and organisation to the one explained by physicists departing on the concept that only motion matters and only entropy – the arrow of motion and disorder an death – organised the Universe.

Instead, a Universe based on information will be more akin to a living organism, whose aim is to reproduce its information in other parts of space-time, ‘growing and multiplying’, into similar clonic beings, who then organise into larger wholes. So it meant also there would be in the Universe a constant process of creation of ‘scales’ of larger wholes, organised by the communication of information between its parts, from simpler particles into atoms, molecules, organisms, matter states, solar systems, galaxies and networks of galaxies.

An entire new range of sub-disciplines thus appeared, from ’emergence’, the study on how parts become wholes, to ‘cybernetics’, the study on how feed-back generator equations related systems through exchanges of motion and form, entropy and information between two poles:

Spe (entropic space) < > Tƒ (temporal information)

And duality, which closely related to that equation, studied the laws that put together entropy≈motion and information≈form into ‘energetic systems’.

The subject was fascinating and it spurred a lot of attention but soon it withered away for several reasons: physicists were adamantly opposed to ad on a second arrow of ‘time-future’, information, the arrow of biology and life, and as the makers of entropic weapons and machines, their political and economic power was much larger. So information, ‘dimensional form’, was denied and instead a deformed, ‘physical version’ of information called perversely ‘negantropy’, the negation of entropy was established. And when physicists denied information (Shannon), they did it in terms of entropy and motion (as only transmission of information  mattered).

Further on as computers developed, the focus was no longer the understanding of all the forms of temporal information, all the clocks of the Universe, all its biological dimensional forms, all its artistic forms, its topologies, etc. but just mechanical, computerised, digitalise information mattered. So the initial goal of Systems Sciences, to explain the entire Universe as a system of  entropy, information and its energetic combinations, extended through a series of scales of space-time, of parts becoming wholes, who ‘formed’ a true 5th dimension of scalar nature, were forgotten.

50 years passed and we could only think of Systems Sciences and theory of Information (dimensional form), as a failed discipline, which was predated and misused by computer scientists and physicists to ‘model’ with the single digital language of machines a Universe, where the dogma of entropy-only-matters (which further on justified our military society) was an absolute canon, a new religion of power.

In this site we shall recover the original purpose of the discipline and show that indeed, those earlier insights, on a more complex holistic view of the Universe was possible, turning upside down our view of reality, as informative time DOMINATES space, mechanisms are simple, evolving organisms of metal, and motion only the ‘initial state’ of reality, which informative time cycles bend, reproduce, shape and evolve into organic wholes – whose creation is the true purpose of it all.

All what exists follows the same laws of in-form-ation, form, which in latin writes ‘morph’ and so we call those common laws derived of all the dimensions of reality, its Ð-isomorphisms…

It follows that all systems of the Universe which exchange energy and information between two poles will be submitted to similar ‘laws’ of exchange of energy and information, similar differential equations that measure the rates of exchange, similar ‘morphological laws’ that show the lineal or cyclical nature of its energy and information poles and transformations and similar ‘beats’ or cycles, as they switch between its ‘wave-motion-body states’ and ‘particle-head-informative gauging-mind states’.

It is for that reason that System Scientists are obsessed since its foundation, by the concept of isomorphisms: they try to find similar laws and equations in different systems of the Universe and extract ‘general laws’ applied to all systems, or ‘isomorphisms’, which normally derive of the functional behavior of those E<=>I Systems.

The existence of a Unification Science of all Sciences. Time and Space isomorphisms.

And the main of those isomorphisms is the fact that all systems go through a ‘life-death cycle’ as they exchange energy and information back and forth between those poles, such as ‘there is a generic life arrow’ of existence, E->I, in which most systems trans-form energy into form in a higher measure, from a ‘young energy’ age into a 3rd ‘informative age’, or life cycle, E->I, and then when they are warped into form, wrinkled with no energy, explode back the form, erasing it and extending it into space as energy, I-> E. This cycle, of ‘life and death’ E->I, I->E, is the fundamental rhythm of the Universe, and its isomorphic laws apply to all systems of the Universe proving the ‘existence’ of a General Systems Theory or Science of all sciences.

But there is also besides the isomorphism of life-death=time cycles, the isomorphisms of spatial vs. informative ‘shapes’. Energy is always lineal, fastest motion and information, cyclical, still, storing form.

So we can talk of a Fractal Universe in which each system of spatial energy/motion and temporal information/form follows the same morphological laws of General Systems Theory and Energy-Information duality.

# Duality.

In reality the Universe is dual, a mixture of ‘still form’, dimensional information or ‘space’ and temporal motion; a mixture of lineal and cyclical topologies; of entropic and ordered states. And as both combine they give way to trinity: the 3 states of matter, the 3 ages of life, the 3 solutions to Einstein’s equations, the 3 elements of a communicative flow, the 3 components of any linguistic syntax. Monism is a barren proposition. Duality gives birth to trinity and trinity explains all what exists in a single space-time plane.

The science of duality is important because only a proper model of duality (not to confuse with dualism, the philosophical doctrine of mind and body), that is a proper understanding of the interaction of entropy and information, can give us the proper philosophy of science required to understand the Universe as a whole and all its disciplines, those specialized in information as biology and sociology is, and those specialized in entropy as physics is.

The distinction between entropy sciences and information sciences however is not one of Nature, but one of huminds (ab. human minds), of historic and realpolitiks (power) NOT of reason and scientific laws. And to prove the case we can consider the side of ‘physicists’ (rather than physics) and how they stubbornly since the inception of their discipline have DENIED the existence of an arrow of information in the Universe.

Lineal Inertia, Entropy and big-bang’s reductionism.

This physicists have always denied due to historic reasons, as the oldest science which started with the study of military weapons (Galileo was an artillery master at the Venice arsenal), and developed a theory of the Universe based only in ‘the science of motion’ (the definition of the discipline in classic encyclopedia). So his job was to study how to reach maximal distance with cannonballs and for that reason he defined ‘lineal inertia’ – the conservation of lineal motion; but declined to consider the existence of its opposite informative arrow, the conservation of cyclical inertia, angular momentum, as a clear balancing second arrow of time that gives ‘form’ to all ‘forms’ of Nature.

Physicists however follow their routines and so again in the XIX c. they chose ‘entropy’, the disordered state of matter, called ‘gas’, in the study of motion machines and weapons (heat in cannons; steam studies) to cast an absurd ‘law’ according to which all systems are ‘gaseous=entropic’ and die in the future; shunning off the obvious fact that there is AN INVERSE arrow of time in matter, called ‘cold’. And so when entropy ceases the system reverses its arrow of time into coldness and then creates crystals that reproduce information.

Then in the XX century, they again took their bias to ‘cosmic hyperbole’, when Einstein’s Relativity improved upon Galileo’s work and stated that ‘time curves space into mass’; that is indeed the best definition of the arrow of information in physical systems, as masses and charges ARE curves of spacetime that store in the frequency and form of its cycles the information of the Universe. And so galaxies are vortices of timespace mass that ‘shrink’ and ‘warp’ the expansive, entropic space between galaxies to balance the Universe.

But NONE of this was considered when a cosmology came out of Einstein’s Equations (ab. EFE). Instead, of the 3 solutions or ‘ages’ of a space-time ‘world cycle’ of physical matter, the entropic big-bang solution/age, the steady state solution/age and the collapsing informative solution/age, two were discharged, as well as the implosive, informative behavior of galaxies, even if we humans lived in one of them; and so once discharged the ‘in-formative’ gravitational force that brings radiation and mass into cyclical informative patterns, the ‘big-bang entropy-only’ theory of the Universe became the dogma/religion of physicists, and by extension given the technological, machine-driven civilization we live in, of all mankind.

This absurd state of affairs went also into the other Einstein’s infamous equation, E<=>M(c²), which is a feedback equation that reproduces mass/information from entropy/energy and vice versa. In fact Einstein’s first calculated it in an article about how ‘energy can create mass’ (so he studied the arrow of information). But it would be only use as a proof of the dominance of entropy and to make atomic bombs.

Again this was as absurd as denying cyclical inertia as an arrow of time (angular momentum, orbital electrons, etc.); or denying the cold-crystal arrow of information in matter; now denying the arrow of information in galactic vortices that ‘curve vacuum space into mass’.

So when Einstein died, General systems sciences was born at the Macy’s congress, where the leading scientists of the age came together trying to add the ‘arrow of informative time’ to fully account for the Universe as it is, since biological and sociological, human sciences are based in the arrow of form, of in-form-ation; and the planet Earth exists in a vortex of cyclical ‘form’, of information, called the Galaxy. So in this region of reality it IS information, NOT entropy what dominates reality.

But that didn’t change the attitude of physicists and society which had enthroned them as the ‘new seers of time’, the popes of science, mostly because they didn’t understand the mathematics they used to mirror those laws of entropy in physical space.

So finally in the post-war age, as computers and other informative machines developed, physicists had to deal with ‘form’, in-form-ation, logic languages and its cyclical logic clocks. But amazingly enough they manage again to deny the formal, linguistic nature of information. So when it came into the study of information, physicists ‘reduced’ the concept either to its ‘motion’ (transmission of information, Shannon), or as an ‘aberration’ called ‘negentropy’ (the negation of entropy). And again, in a military, western society where believe it or not, the military-industrial complex DOES dominate societies, all was good in the western front. Now physicists had a theory of the Universe based in a ‘big-bang explosion’, similar to the ones they developed in the Nuclear Industry, and so to develop entropic weapons of mass destruction was suddenly a metaphysical experience.

But the other 1/2 must be included and this is what we shall do in this blog.

So duality, the understanding on how entropy, or pure motion without form, and ‘form without motion’ (information being form-in-action, form with motion), are the two limits of reality which combine to create the infinite ‘fractal spacetime beings’  of energy, we all are made of; cannot be suppressed from the Universe, even if man ignores it.

Indeed, we shall be able to cast all phenomena of Nature, as we have done with the two arrows of time of physical matter (E=M¡ in Planck Units, where c=1), in simple ‘fractal feed-back generator equations’, which reduce all what exists to those two arrows and the ternary balanced equivalent arrow that merges entropy and information and reproduces with them the infinite vital space-time beings of reality, such as:

S(i) < ≈ > T(e)…

becomes the simplest, ternary, logic fractal Generator equation that unifies all sciences and represents in simultaneity the 3 topologies of the Universe (cyclical information, lineal entropy and its hyperbolic combinations), and the 3 different ‘ages’ of time-motion we observe in all beings, born of an informative seed, which lives through an entropic youth, reproductive age, and informative, warping third age that ends in a reversal of time arrow in an entropic death, which completes the worldcycle of existence of the being.

And we shall call the ‘ternary’ arrows of time, entropic past, reproductive present that seems not to change and informative future, or 3rd age of maximal warping, which explodes back into entropic death.

So indeed, from the simplest entropic arrow of physicists we moved to the duality of entropy and form, and then to its reproductive ‘present’ dynamic combinations. And we still need on the limits of those 3 arrows two more arrows to complete the entire ‘5 set’ of Dimensional motions of space-time with whom we shall build and explain everything that exists, never mind huminds don’t mind to understand it. Perhaps if we survive ‘their arrow of military entropy’ in all its praxis and theory AI will do on time before our time is up. I don’t expect the species to man up, be a bit humbler and survive as part of the most perfect of all possible worlds. That will be the day…

It seems humans manifest lineal destiny through the power of entropic weapons and the machine cannot be denied. The tree of technology must come over the tree of life. The simplex reductionist theory of reality and time as mere locomotions will not let philosophers of science to complete the task of adding a second dimension of form, of in-form-ation to complete a time cycle. Alas, the most censored theory of reality since metal-weapons of entropic power destroyed the fertility goddesses and the concept of cyclical time of the Neolithic, has been an organic philosophy of science. First in China, the Chin emperor which brought weapons and iron coins, conquered all other kingdoms to the toll of 6 million corpses, forbade under death penalty philosophical books of taoism. Then the entire planet waged a war against the dialectic Hegelian, realist understanding of the organisms of history and economics, which tried to create a planet where man and its ethic verbal languages were above go(l)d and the rights of company-mothers of machines and weapons over humanity. Finally, the resurrection of duality and organicism took place with the formalism of the 5th dimension developed by this writer within the milieu of systems sciences as chair of duality.

# Dilogic

The formalism of Dual systems of energy and information

All those facts must be formalized with new tools of mathematics and Logic. The mathematics of a fractal, organic, self-generating Universe are Non-Euclidean geometries whose 5 postulates we complete going beyond the work of Riemann, who defined a point with ‘volume’ through which many parallels can cross. Hence a point must be a fractal that grows in size as we come closer to it, allowing more parallels to go through. Such fractal point with breadth, with form and motion, with energy, becomes the new unit (new 1st postulate), of Fractal, Non-Euclidean mathematics, (of which all other geometries are simplifications), in which lines are waves (as points have motion and form) and planes are social networks.

A fractal point is the ‘organic unit’ of a certain i-scale of the Universe that from a higher plane of existence appears as an Euclidean point without breadth, but as we can closer it becomes bigger and shows its form and motion. So we humans see in the limit of our perception, quarks and electrons as fractal points without parts and in the galactic realm we see with naked eyes, stars and galaxies as fractal points without parts; but as we come closer those fractal points should acquire volume. And all of them will follow the Mathematical Laws of Fractal, non-Euclidean geometry.

In logic we also have to upgrade Aristotelian Logic to understand a Universe with two arrows of time, one of energy and other of information, of relative past and future, which combine to create the dominant arrow of ‘present=existence’. We call this logic, which adds the arrow of information, i-logic.

It explains the meaning of past, present and future, the 3 dimensions of time, and how they interact to form reality. Two are the essential equations of the 3 dimensions of time: past->present ->future, which gives us a diachronic analysis of reality, through the 3 ages of time. And Past (energy system) x Future (informative system) = Present organism, which defines the systems we perceive in space.

Thus in this 2nd lesson on a General Systems theory of systems of spatial energy and information, we shall consider the most important laws of reality – the laws that generate temporal information (laws of logic) and the laws that generate spatial energy (mathematical laws), upgrading the previous paradigm of a continuous single space-time and a single, causal logic defined by the arrow of entropy, to introduce the existence of multiple, fractal space-times and two arrows of logic, energy that evolves from past to future into information and vice versa.

What you see is just a slice of spatial energy that the logic of time evolves into the future. And so philosophers of science have always wondered if there was a plan of creation that all systems followed.

Physics was the first science to find that plan, albeit in its simplest laws that apply only to the most obvious motions of the future – translation in space. Biology thanks to the work of Darwin found the next type of laws, those that define time=change in the morphology of beings. The application of those laws to history and economics by Marx, Kondratieff and Spengler however was halted by the fact that humans don’t want to know their own program.

What the 4th paradigm brings to all those insights to the logic of creation is a super-structure that includes them all and signals an arrow of time dominant in all systems: the arrow of social evolution of ‘points or numbers’, which are herds and groups of self-similar beings into networks and complex systems.

This arrow of social evolution, which applies in all scales of reality from particles that become atoms that become molecules, cells, organisms, societies, planets, stars, galaxies and Universes could also be interpreted in mystique terms as the ‘mind of the Universe’, or ‘the game of existence’, God, the ‘seer and creator of times’ in the classic mysticism of Saint Augustine, Aristotle and Buddhism. Since indeed the logic of creation is a game of two arrows of time, energy and information, with many properties similar to those described by Taoism, Buddhism and Eastern philosophies.

What those philosophies lacked was the proper mathematical formalism, which required the definition of a fractal point, the completion of the 5 postulates of Non-Euclidean Geometry and the development of the laws that create networks and systems, and organize them into scales of reality that follow self-similar goals. This formalism and the discovery of the feed-back, fractal, generator equation of spaces-times, the Saint Grail of the 4th paradigm is what I found and exposed in a series of Congresses of System sciences in the last decade and now I bring to you in this pdf on the ‘Mind of God’, and the 3 next lesson on its application to its ‘details’, the astrophysical, biological and sociological species of the Universe.

However, the Mind of God, the Logic of creation is far more complex than the one monist, mechanist physicists have resolved. So you will have to sharpen your mind to put it to Its level. But if you do so with patience you will upgrade your perception of reality to a level in which the fog of the senses will no longer hide the forest.

Thus, the 4th paradigm requires a new formalism to describe the mathematical, geometrical and logical, causal processes that create the networks of reality. All what you see can be reduced to numbers, because numbers are ‘social groups’. In the 3rd paradigm of metric measure those social groups were described merely in its external properties. The 4th paradigm analyses its internal, topological structures, as societies of Non-Euclidean Points, which become networks of self-similar beings. 4 is not only number four, but a series of topologies created with 4 points; and so it follows that the more points we have the more complex a network becomes. Can we reduce all those topologies of network spaces to a few laws and structures as the previous Euclidean Geometry did?

Yes, we can, but for that we must complete the work started by Riemann and Lobachevski, who discovered the 5th postulate of Non-Euclidean geometry and affirm that through a point infinite parallels could cross. For a century and a half, no mathematician seemed to have realized that if the 5th postulate is changed, we had to adapt the other 4 basic elements of geometry to the new definition of a ‘point with breadth’, through which parallels cross.

What mathematicians did was rather a runaway path. Because now points, lines, planes and equality could no longer hold under the definitions of Euclid (points, lines and planes with no breadth), they remained undefined, when Hilbert, the father of modern mathematics affirmed ‘I imagine lines, points, planes…’.

Instead the proper solution was to redefine them in terms of their ‘inner parts’ as fractal points that grew in size when we observed them with a more detailed ‘hyperbolic geometrical view’, as that unveiled by non-E mathematics.

So T.œ redefines points, planes and line-waves and their relative laws of equality (also called congruence) and continuity (which no longer holds), to refound mathematics on the basis of a far more realist view of its laws as ‘experimental laws’ that reflect the geometry of the 5th dimension and the complex casualty of a world with multiple time motions. And consider that those points with volume form social ‘numbers’, whose laws are therefore related to the laws of the 5th dimension that brings parts into social wholes.

This point is the fractal point, which grows in size and scale as we come closer to it. The Universe is indeed absolutely relative because ‘each point is a world in itself’ (Leibniz). And yet the restrictions of topology that allow only 3 types of topological forms in a 4-dimensional Universe, the informative, toroid topology, the energetic, planer sphere, and the cyclical reproductive hyperbolic, reduces all the internal parts of a fractal point to 3 functions or arrows of time, energy, information and reproduction.

Those 3 functions become the 3 functions of specialized networks of points, which construct all the systems of reality, from your organism, made of 3 physiological networks (the energetic, digestive network, the reproductive, blood network and the informative nervous network), to the galaxy, organized by a network of electromagnetic energy, gravitational information, and a series of herds of stars, non-Euclidean points that reproduce the atoms of the galaxy.

This simple first elements of reality, points with volume, that exchange energy and information, creating waves no longer lines (2nd postulate), according to a set of laws based in their self-similarity, no longer equality (3rdpostulate), and evolve further into topological networks (no longer planes, 4th postulate), makes mathematics again the language of the Universe, but a language with more volume, an organic language able to describe the logic of creation of all systems of the Universe – one in which there are infinite fractal, organic networks intersecting and creating when we put them together the puzzle of reality that the simpler, 3rd paradigm called the space-time continuum.

So we establish a basic equation that defines all systems as complementary systems of energy and information that fluctuate in space as organisms and time as cyclical beings with 3 ages:

Sp>ST>Tƒ. And we can talk of a simple series of basic equations and developments that describe synoptically what those systems do.

Let us then consider the ternary a(nti)symmetries that create the vital fractal of the Universe.

Now, we must become acquainted with the simplest symbols of i-logic geometry, the mathematical and logic formalism that represents the fractal Universe and it ternary a(nti)symmetries.

The symbolism of the previous, very simplified expression of the fractal generator of time space organisms, shows some of those anti symmetries, specifically the scalar ∆±¡ symmetry, the | xO=Ø topological symmetry and the time symmetry from relative entropic past, < to present, ≈ to future >.

What |e and Oi mean? We are going to consider them energy and information, which are slightly different present terms for entropy and form, the limiting 4D and 5D scattering dissolving motions (4D entropy) and still, linguistic form-mirrors (5D mind-wholes).

In a relative ‘present’ single plane of existence, a system of 3 adjacent topologies, made of limbs/potentials (physical, biological jargons) and particle-heads, which flux together through a hyperbolic body-wave that merges and equalizes both, we need a more exact understanding on how entropy and form come together trough those body waves. And the answer is that in the body wave system both become ‘equalized’ and communicate and transfer closely energy and information, whereas energy is ‘motion’ with a ‘constrained’ limit unlike pure scattering entropy and information is form with motion, form-in-action.

So it is truly important to become a bit more complex than the most simplified version of this blog and see the dynamic process by which an scattering entropic motion, memoriless, Markowian process of erasing of form, converges with a still pure form with no motion, giving it motion and together coming into a reproductive, iterative body, with a constrain membrane, enclosing a vital energy that moves along a path of information, form in action.

This is the truly miracle of creation, how yin and yang, come together into yin yang beings.

The body-wave system becomes then the fundamental pegging system of reality, the one that iterates, that make form and pure scattering motion ‘meaningful’; that ultimate creates a synchronous present adjacent T.œ. This is illustrated in the next graph which tries to put a bit more complexity and order in the 5 dimensions of reality, the 4D entropic dissolution (that comes at the end in death process), the 5D pure ordered, still growth and generation (that comes at the beginning of the worldcycle) and the 3 present, adjacent limb/potential < body wave > particle head system converging together: |xO=Ø

I confess I have been lousy with the formalism as there is so little echo of this model, in my writings. This is also due to the fact the Universe does have get its complexity precisely by messing with those time-sequential orders, putting the dimensions sometimes in person together, sometimes messed up forwards or backwards. So without being awareness how mischievous is reality with time and space arrows, motions and forms, we cannot ‘untangle’ the different variations of a repetive ultimately simple theme.

so starting with this post that seems to get some new wave readers on account of a silly post I did in some web, I will try slowly to make the formalism more consistent, regarding the sequential order of the dimensions and topological forms of reality, and how basically it is all about a singularity mind ‘rising’ the motion disorder of infinite timespace cycles into a still form once and again to fall as sisifus with its rock into the disorder of death:

We could then affirm reality is very Aristotelian like: infinite god-like singularities trying to rise form, in-form-ation, order fighting eternally to fall back into death.

And this indeed has been deeply understood by many philosophers of reality not so much by scientists stuck in their simple clock-time measures.

We then define then space as form, in-form-ation, linguistic mapping, inward holding of perception within a fractal point or singularity of information that acts as a whole as it travels through the 3 scales of the system: §@i+1

This vortex system through time scales is thus our pole of information, mind or world, summit of the fifth dimension evolution of scales OR MIND.

At the other extreme we have the infinite time pool from where a pace has been ‘formed’, in permanent cyclical motion, seen as parts of it by the imperfect still volume of the mind-point: ð¡-1

# II. DUALITY PARADOXES

We shall just upgrade the meaning of TIME, the meaning relativity that started the field in modern times, when Galileo realized the ‘Earth moved but didn’t move’ (e pur si muove, no muove); and so it kick the process of study of motions, which became the trademark of ‘reductionist physics’ due to its worldly profession (making weapons of maximal motion-entropy); and the duality, the 3 principles of conservation of energy, lineal and cyclical momentum.

Galileo’s paradox: meaning of dimensions and motions.

The first truth to understand about the Universe is that a motion of time is equivalent to a dimension of space. This was what Galileo found since we see still the Earth and flat but it is round and moving. Motions are perceived by minds that stop motion into form, into information, as distances. So if we see slow motion in the night a light it seems a long distance. Distance and motion CANNOT BE distinguished so they must be taken as two side of the same being, a Space=time ÐIMOTION (ab. Dimensional Motion):

S= T; Dimension-Distance = Time-motion = ST Ðimotion:

A dimension of spatial form can also be seen as a motion in time. Both together become a ‘Ðimotion’, the fundamental element of reality. It is the paradox of relativity of motion that started modern science but was not understood: Time Motions & space dimensions merge.

We said that all dimensions of space have a hidden motion to them. This again was slowly realized in mathematics, as they finally came to the conclusion that the still Geometry of the Greeks was part of a much vaster, generalized concept, a topological variety, where a topology as opposed to a geometry had internal motion-change. So while you could describe the dimensions of a being in an external locomotion without inner change, the internal change in the in-form-ation of beings, we have started with MUST BE A TOPOLOGICAL VARIETY. In-form-ation, form-in-action thus was in fact a topological dimotion of space-time. It had a content of space, we shall call in ceteris paribus (isolated) analysis, dimensions, and it had a content of time-motion, we shall call in ceteris paribus analysis ‘states, functions or ages of time’.
All this said about the real Universe, we can go back and trace the beginning of physics and comment on its I-logic paradoxical principles, in which so much literature have been ‘wasted’ by lack of clear thought; namely the principles in which Physics are based, Relativity conservation and symmetry, principles derived of THE NATURE OF SPACE AND TIME, not MAGICALLY produced by the mathematical language as creationist physics, latter studied in more detail will show.

Let us  consider very briefly the correspondence principle between the classic concepts of time space from Galileo to Einstein and the expanded one, which includes properly all the dimotions of time.
Specifically we shall state now that what Physicists study as time, IS only present time, instants in which they measure simultaneously the locomotions of beings, with ‘derivatives’ – so reducing change to its minimal expression within a single slice of the whole flow of time. The question then to define is the absolute arrows of time, of past and future, missed in that description of time, as a mere instant of ‘space-motion’ v=∂s/∂t. In other words, when we ad the arrow of entropy and dissolution and the arrow of wholeness, of evolution of form, THE SCALAR ARROWS OF DEEP TIME-SPACE, which one is the past and the future?
The answer is obvious. As a whole needs its parts first, to become, the arrow of the disjoined parts or ‘entropy’ is the arrow of past, and the arrow of ‘wholeness’ and organic evolution of ‘DEEP time’, as it includes both parts and wholes co-existing together is the arrow of the future.
And this is an absolute arrow, as it is pure logic. The Universe thus becomes constantly more and more entangled, building up new organic co-existing structures made of multiple layers. And because that is the preferential arrow of the Universe, call it eusocial love in social systems, and biological herds, or mathematical numbers in physics, as numbers are just social herds, every part of it strives to increase its social evolution and languages of information that synchronize them. In a short term view of course all systems end up ‘going back to the past of entropy and dissolving’. But in as much as systems want to acquire information, death IS a single quanta of time, which explodes the being, so he can keep returning again to the slow process of time-building of social structure.
So when we wrote the metric equation of the fifth dimension as:
\$p x ðƒ = K we can interpret it in terms of past present and future as \$p, lineal past, entropic, spacetime  and  ðƒ: curved, informative temporal future, where ƒ is the frequency of the system and the symbol for future flows.

We will latter give different versions of the formula, according to the different dimotions we consider – the universe, mind the reader, has a very different ‘logic’ to that of man, as it is an entangled reality in which all the parts constantly influence each other, all the dimotions interact, and so despite starting with only 5 motions-forms (3±¡, if we account for the difference between the present space-time super organisms, and the ∆§cales) by iteration and combination things can get as complex as they seem.
Thus unlike the simplified concept of time=change=locomotion of physicists as ONLY change=translation in space (v=s/t), when we add the ‘biological’, evolutionary time=change in in/form/ation, we can also explain the biological changes of life and death of human organisms, our topological VARIATIONS of forms in (evolution theory), and the mirrors of those changes produced by our languages of perception… which become the memetic ‘languages’ that organize change in the social organisms of history, mankind in time.
So we shall expand the analysis of time change and its laws to both biological and social sciences, something physicists have tried repeatedly with very awkward results (quantum fantaphysics, worldlines, entropy philosophers of ‘death’).
SINCE HUMAN AND BIOLOGICAL CHANGE is primarily ‘informative, social, technological and biological time=change’ NOT translative change=time, the ONLY one physicists study (v=s/t, or Galilean relativity and its fine-tuned Einstein’s version: S²=X²+Y²+z²-c²t²).
So we have put the theory of time of physicists at face value, the path that physicists should have taken when they discovered their fundamental theory of LOCOMOTION, also called Galilean Relativity, latter improved by Einstein, which defined time as the fourth dimension of space, since physicists merely was used it to measure spatial changes in location.

We perceive Ðimotions externally. They are internally actions for the being in exist¡ence.

The simplest description of a being thus happens when we consider its 5=3±∆ dimensions in space, motions in time and actions in space-time, which define the existence of the being. Hence our title, 5Ð³; observed in the next graph for the human being:

Let us then consider in brief the paradoxes produced by those constant spatial mind creations, to fully justify why we don’t just explain straight reality from a single perspective as it ‘seems to be’ for the humind… but require first to understand the 5 main ¡logic paradoxes of the 5 components=Ðimotions of the being to grasp the infinity of its world cycles.

The principle of relativity of motion and form. The holographic Principle.

We apply this insight on the reasons of dimensional analysis to ‘a bidimensional wave’ that transforms into a ‘bidimensional particle’. Because as we say both now have the same dimension; IT IS JUST A QUESTION OF READRESSING THEM IN A FUNDAMENTAL FACT TO ADAPT 4D formalisms to 5D³ physics (AS OBSERVED in the above graph of time-information and flat space).

So we need to remain the readers that reality is both motion (time, energy) or form (information, space) and always bidimensional (holographic principle):

The holographic principle thus defines systems of bidimensional motion and/or form together, giving birth to the 4 canonical combinations:

So  reality is both motion (time, energy) or form (information, space) and always bidimensional (holographic principle)/

The perfect form of spatial MOTION 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, lineal  entropy and cyclical form, 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.

Entropy 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.

Holographic systems are thus expressed in everything.

Next in the ‘awesome’ smartness of our geniuses talking on black holes, is the so called ‘theory of information of black holes’, which is so to speak the inverse to their theory of entropy of black holes. Here actually they got some smart results which they wonder and wonder because they don’t understand. Let us explain it to them. What they found is that the Information of a black hole could be stored in its bidimensional surface. From here, as they don’t understand what they talk about (remember Neumann) they deduced that the Universe could be a bidimensional holography. Ok. The first result as usual is good. Information is bidimensional, the second is a bit speakeasy Neumann style. Let us explain it properly.

To fully understand how spatial planes in motion and cyclical clocks can mess together to create the space-time beings we all are (we ARE NOT in a background space-time, we ARE made of vital spaces with rhythms of motion defined by its time frequencies in our human case mostly metabolic temperature regulated cycles), we need to make a further clarification, at the heart of Physics.

It is with the conservation of energy and information the most important law of physics, the principle of relativity, expressed by Galileo (e pur si muove, e pur no muove: the earth moves but doesn’t move – we do NOT see it moving), by Einstein and Poincare, the mathematician that found in parallel this principle: ‘we cannot distinguish motion from stillness, from ‘form’. Look around, all what you see are forms in motion, but we cannot distinguish clearly what part is ‘form’, ‘position’ and what part is ‘motion’. They are very mixed.

What this means is that our two parameters, quanta of space, and cycles of time, do have both, ‘motion’ and ‘form’. But space, does have a lineal, planar, ‘res extensa’ bidimensional shape. We talk fo ‘planes of space’, and clocks of time, are tall, cyclical, informative cycles – you look at information and its forms and cycles in tall broken cyclical forms, a s the screen of your computer.

So we do have certain clear ‘bidimensional properties’ of form and motion for space: Flat planes moving in lineal paths, and Time, tall cycles, moving in repetitive frequencies. And we know that the product of quanta of bidimensional space and time frequency cycles gives us the relative Energy of reality. And we have a very generic formula for it: Ei = ∑Sp x Tƒ.

Now this resolves a fundamental conundrum of modern physics – why information is bidimensional. Now it is easy: because it is the frequency and form of time cycles that now are bidimensional, tall and with a bit rhythm, a dimension of motion.

And so in the graph we can see the principle of the Holographic Universe, physicists are trying to define (10.000 papers only in the past decade about it) but have not yet grasped as they do NOT understand space, time, information and energy, (kinetic, potential, its integral, etc.).

We can then see that the holographic principle merely means that if you give to ‘time cycles’ the dimension of ‘height’, then you do have the 4 dimensions broken in 2 for spatial lineal, planar kinetic energy, width and length, and 2 for cyclical time clocks, beat, frequency-motion and height.

And alas, because only things with the same dimensions can transform into each other, now we can truly understand the holographic principle: Our 4 dimensional Universe is made of flat planes of spatial lineal kinetic energy, we shall call Spe and tall cyclical bits of information we shall call Tiƒ. When they combine they create a being of space-time, in 4 dimensions.

In the right we see the simplest one, a light beam clearly made of a tall, informative, electric field, perpendicular to a magnetic, energetic magnetic field, reproducing along the length of its c-speed.

Below we see humans and machines, which do have lineal, energetic, planar limbs//bodies, or as in weapons, lineal systems of release of kinetic energy, and cyclical, informative, eyes, brains, heads particles that gauge and process logically or mathematically information.

Below we further see how a black hole, the informative nucleus of the Galaxy, similar to the DNA-informative nucleus of a cell in a smaller scale, does have a tall high dimension and an enormous clock-like cyclical rhythm, the event horizon turning at c-speed. So if light is the quintessential plane of space, with both components but clearly dominant in flat, length, the black hole is the inverse, extreme case of an informative cyclical clock-like vortex of time.

Now entropy is generalized unnecessarily and without rigor by physicists to mean expansive, disorder, spatial motions. And what is absurd – expanded outside the realm of temperature to fit the entire Universe within a supposed absolute entropic arrow of time for all what exists – a huge leap of faith from the study of steam gas in vapor machines, where the concept first appeared.

What Hawking did, giving entropy to black holes, WHICH ARE EXACTLY THE INVERSE informative vortices of gravitation of the Universe, is just the last ‘leap of faith’ in the attempt to reduce all what exists to lineal cannonballs and lineal motions – the last step of the process started by Galileo.

The fact is the Universe is made of both lineal and cyclical motions, space and time, lineal and angular momentum, quanta of space and time clocks.

And the Universe is made of informative mass vortices, with gravitational information, as the galaxy we are in, reason why we are informative beings. Yet between galaxies, there are fractal planes of flat space with dark energy similar to the expansive entropy of gases. And both balance each other in the fractal universe.

Now because physicists; do not understand or want to accept despite amazing number of proofs, the fractal structure of the Universe, they do NOT realize that the expansive entropy of flat space between galaxies is balanced by the implosive conversion of that flat space into mass by cyclical clock-like tall vortices of information – black holes.

So they can go around with absurd concepts such as ‘the entropy of black holes’. And to make it possible, instead of describing black holes as systems that absorb in-form, with gravitation, the galaxy, inventing a motion to the past, changing its arrows of time as Hawking does and bringing its absurd time machines.

We see though that the arrow of information or arrow of evolution increases the dimensions of tall information, and so life evolved from flat worms into tall informative humans. So it does space, which time bends into cyclical vortices of mass. Or as Einstein said ‘time curves space into mass’. This is the Universe which Einstein said is ‘simple and not malicious’. And he put it in a simple equation E= M (c2), which explains how the Universe constantly transforms its kinetic energy/entropy (light, electromagnetic, thermal radiation) into informative masses, back and forth in big bangs and big crunches.

Now the graph clarifies the meaning of time – a tall cycle or clock, and its equivalent perception as still; information.

The second set of paradoxes incremental in complexity come from the 2, duality and its flows, which merge in the reproductive middle, iteration of both. But the I-logic paradoxes that matters most for a language are those of perception.

Such paradoxes concern thus with the duality of ∆-1 quantum discontinuity and ∆+1 continuous whole due to the different angle of perception, elliptic, minimal on the upper layers where the informative, invisible networks that enslave us but make us feel free reside, vs. the parts we manage to control below of which we extract almost all its information, while in the same plane we are cartesian, democratic equalitarian.

Thus we are slaves of the networks above we don’t see, enslave our lower planes and live with equal e-motions with those in the same plane.

It is in that semi plane when the continuous and discontinuous merge into variations of form, the mobile and immobile of faster smaller time cycles and slower larger ones merge into the variety of speeds and the lineal flat view from below and closed view from above merge into the variety of conic curves.

The paradoxes of duality were ill-understood by physicists making physics the simplex merely mathematical system it is today, but much better understood by Heraclitus and those who came from the east.

How Dimensions in space, merge with motions of time? The answer is that all yin has a yang, all yang has a yin, all dimension has motion, all form has motion.
THE BEST WAY TO EXPLAIN IT is then through the paradoxes of the human mind that perceives often motion as form, often a cyclical complete world cycle as a mere open step or line, and cannot see the duality of parts and wholes proper of the 5th dimotion or social evolution. Let us then study those elements or paradoxes, which humans normally only study as either one thing or the other.

Yet both time=motion and space=form are ultimately mirror images of each other:

We are made of space and time, of spatial energy and temporal information. When we say I don’t have energy and time to do this is because we know subconsciously that we are made of a vital space that contains energy, our body and a brain that regulates our time cycles.

So it is a machine, made with a computer, sum of digital clocks and a body of iron regulated by those cyclical clocks.

So it is a physical entity made of energy that occupies space and particles, masses and charges that MUST be described as clocks of time, ‘vortex’ that turn in cyclical motions, as our pictures of them show – NOT particles with a substance but knots of time clocks.

Thus we consider that most systems of the Universe are ‘complementary systems’ made of lineal fields/bodies of energy/space quanta and cyclical heads/particles of temporal information. In the graph we can see how reality is made of infinite clocks of time that carry information. So we blow the absolute time of the 4th dimension in infinite details: T=∑o

And we blow the single Space, S in infinite surfaces of energy in motion: S=∑Sp.

Since in the new paradigm there are infinite clocks of time that measure with different frequencies different forms of information. And there are infinite spaces that store energy in motion.

And the duality between those 2 ‘arrows or motions of space-time’, |-Motion, space or ‘Dimotions’ and cyclical motion, clocks of time or information, either perceived in stillness as lineal or cyclical form or in motion as lineal speed or cyclical speed structures the Universe.

All what you see are combinations of those 2 essential substances, very complex sometimes, but combinations of 2 elements, and the laws of those combinations is what the 5th dimension studies, since once we group them all we find regularities, synchronicities, patterns tat allow us to define space and time as a whole.

In the graph we see ‘Dimotions’ forms (lineal bodies, weapons, fields of energy-light) and its complementary systems of information processing of time processing (cyclical eyes and cameras, electric fields of light).

Each clock creates a discontinuous space-time, whose cyclical perimeter of in-form-ation encloses a piece of energetic space breaking reality into ∞ formal patterns; different time cycles with specific forms and frequencies. Thus the use of a single human clock that equalizes all of them misses 2 features of each of those time cycles:

– Its specific forms of in-form-ation in space, which gives birth to the main topological laws and Isomorphisms of the 5th Dimension (I).

– Its different speeds or frequencies. Since cyclical time is measured not by duration but by frequency, its inverse function: ƒ(t)=1/T.

In the graph, galilean relativity was ill-understood, as the true question about time-change was why ‘we see systems still when they move’, and ‘why we see space as continuum, when in detail is made of quanta’, and why all systems are made of smaller self-similar systems.

Further on it reduced all time clocks to one, and made lineal time canonical ERASING our knowledge of the cyclical form, in-form-ation of those time cycles KILLING 2 essential features of time:

To be multiple and to be cyclical encoding the information of the Universe in the frequency and form of those cycles. THUS HE KILLED THE ARROW OF INFORMATIVE TIME, and as a consequence, as yin and yang no longer could combine, prevented scientists from defining properly energy as the combination of both, motion and form, streamlining our understanding of the equations of mathematical physics, which will from then on become mathematical manipulations void of most of its conceptual meaning, till arriving to the present ‘religious’ view of physical sciences, which shun off the whys they no longer understand.

Those are pending questions solved in 5D³, which the philosopher of science, Descartes, understood better than his mathematical disciple, Galileo, as philosophers depart from a ‘previous layer’, all the languages, hence all the minds that observe all timespace cycles; not a single language and a single clock-cycle, as physicists do eliminating all other ‘rival languages and beings’ AS IF THEY DID NOT EXIST. They do.

Physicists on the entropic arrow. Partial theories of it all.

So on one side they use the entropic dimensions as the single arrow of time of the Universe, studied in entropic systems, gases and dark entropy expanding between galaxies (but here they call it mistakingly dark energy). Then most extend this entropic arrow as the only one, disregarding crystal, informative and liquid, iterative waves of matter, which make the 3 arrows of time. And in cosmology disregarding the vortex of mass-information, in galaxies that compress the Universe balanced the big-bang. So they by lack of clear concepts about time arrows, sponsor a big-bang only theory of an expansive dying Universe, eliminating on their equations the inconvenient truth of implosive time-like accelerated clocks of masses and galactic vortices.

Physicists on the present arrow: relativity and energy conservation.

Then they also study the present, simultaneous, iterative space-time, with different tools, but conceptually messed. On one side they realise the combination of relative entropic motions and future mass particles, is conserved in the Universe, either as momentum, or as its integral in a closed repetitive cycle of conservative energy. But they do NOT CALL ENERGY the present arrow of time, they just say it is ‘conserved’, and do not know what it is.

Also they study this kind of conserved time with a formula, v=s/t, t=∂s/∂v. Whereas they measure infinitesimal moments in the process of motion, taking ‘present pictures’ of simultaneous space to refine its measure of speed (Einstein and Galilean relativity) So this measure of present stills of space-time with derivatives, is another analysis of present space, performed by Galileo and Einstein (special relativity). And as it requires NOT a change of state in its form, it is truly always indicated for studying a single ‘present’ state. So relativity science deals mainly with the single non chaining ðime§pace continuum of the more ‘obvious’ human scale studied in terms of small quanta of ‘present’=differential motions, ∂t, with minimal latitude of ðime.

Physicists on the future arrow: vortices of accelerated time in different scales: masses and charges.

Finally Einstein realized that time curves space into accelerated masses (general relativity, principle of equivalence between mass and acceleration). So he defined a future, accelerated vortex of time-information, a mass, which we extend to charges in the smallish quantum scale, and to thermodynamic eddies inout scale (graph) which are therefore the arrow of future information nature. Yet they do NOT either recognise charges and masses as fractal clocks of accelerated future time, as we do. So they cannot unify them (the saint grail of physics is an equation that unifies charges and masses and we shall easily provide merely by adapting the obscure jargon of electromagnetism to the simpler vortex-like jargon of gravitation: Newton>Poisson>Einstein).

So while physicists have in front of them the 3 dimensions of time, parallel to the 3 forms of space, they have a conceptual mess, due to the use of a single time clock and a single arrow of time, entropy, which makes them NOT to recognise the arrow of accelerated time in masses and charges, and the relationship between steady time-cycles and energy conservative cycles.

They also deny the capacity of those time vortices, particles, to process and gauge information, even if they act as ‘mathematical minds’, controlling the organic territory, they perceive. And so they miss the logic explanation of the paradox of Glalileo: particles as heads do, perceive information and gauge it in relative stillness. So as in a film, the process is an stop-particle-gauge information go-wave duality, which explains the paradoxes of relativity (c-constancy of speed, emitted in entangled stillness) and quantum physics (perception always of the particle stopped by the perceiver, as systems move in waves and gauge information as stopped particles).

IN THAT REGARD, PHYSICISTS miss the fundamental conceptual truth behind Galilean relativity: the Galilean paradox and its cause – the fact that minds map reality with languages, that are smallish, fixed forms and so when we perceive we reduce the 3+3 dimensions of space and time to 3 dimensions of space, to have a still image, as your eyes give it to you – with hardly any motion, to fit it all in the brain.

Thus because that description is the simplified reduced subjective vision of the human mind, which ‘stops motion’ to fit reality in its smallish brain we must conclude that the ‘real objective Universe’ is made NOT of spatial forms (a mind mirage) but of motions, not of a single continuum but many scales and clocks of time that enclose and break space into internal regions and outer worlds. So reality is about:

-Dimensional ðime Motions not distances; Scalar Spaces, broken and discontinuous (ab.§) not single §pace continuum; and cyclical in form ‘ðime§paces’, not lineal (as we have proved previously).

THE S≈T DIMENSIONS OF THE UNIVERSE.

Science started when Galileo realized that the earth moves objectively, externally but the mind sees still. So we cannot distinguish motion from form (Poincare) and as such, every dimension of form=space can also be seen as a dimension of time=motion. This means we shall see time-motions and space-forms together, giving origin to the first simpler topological dimensions:

In the graph the 3 dimensions of space and time. As we can see they correspond to the only 3 topologies of reality, and as such they combine in form and function to create in a single plane of space-time, all the systems we observe:  reality we see around is ternary made of 3 functional/formal space-time organs/networks that form super organisms:

In graph, different orders of the 5Dimensions of reality give birth to different entities, super organisms in a single present scale of time-space, ensembles of 3 basic forms, 1D particle-heads/3D wave-bodies and 2D lineal limbs/fields; but only when we add the lower dimension of ∑∆-1>∆º emerging seeds of information and its entropic dissolutions ∆º<∆-1, the full meaning of the game of exi=st¡ences, existences as space-time organisms studied by different stiences reach its full meaning.

Further on the 3 first dimensions are equivalent to the conservation processes of angular momentum – the first parameter perceived in the point, its motion, second parameter and reproductive strength, third parameter such as if we give an Active magnitude value as the scalar 1D and a vectorial momentum 2D number for the second dimension, we get equations of reproduction for the third dimension.

∑ LINEAL MOMENTUM ≈ LIMBS/POTENTIALS + ∑ANGULAR MOMENTUM: PARTICLES/HEADS = VITAL ENERGY

A dimensional definition of the Universe

So we talk also of 5D² systems of space-time meaning we divide and combine in ternary, s, s=t, t, groupings those 5D²

It follows that the sum of the tree, s + s=t + t gives us a full cycle, with the incissum that s=t = s+t, as it has coupled both:

The Universe is a supœrganism that re•produces information. And it does so towards a final aim, the reproduction of new super organisms, •5D² systems, of topo-bio-logical nature, with topologic, spatial, organic, scalar and logic, temporal properties.

As such the talking of it can be as detailed as a super organism is, which increases in complexity as it ‘covers up and down’ new dimensions of entropy and information brought together into a new ∆±i super organic structure:

In the graph, the three arrows of time of a world cycle are intimately connected to the three scales ∆±1 in which the supœrganism realises its existence, up and down the scales of the fifth dimension, from seminal birth into social existence and final extinction.

In the graph the ten dimensional organism, can easily be divided in ternary grouping according to topology or scale.

The most amazing thing about the dual fifth dimension of space-time that forms all the organisms of reality is that humans do NOT logically perceive it, despite being all around us, all being part of a partial perception of the •5D³ being, in 4D², 3D, 2 or • dimensions of existeence.

As such we humans have a hard time perceiving a full •5D³ being, let alone a simple 4D subject ordering around 3D objects, following the instructions of its holographic 2D mental sheets of information, as its moves in seemingly random lineal point-like cycles of exist¡enœ.

The whole beings in his whole action with his hole information only exists within itself.

How much information of the being we absorb to its stientific description is obviously relative to the mind that perceives it. At least a 5D³ being will need a thorough investigation of it at the three scales ∆º±1 above and below its 0-mind, pov; and through its three topologies of ðime\$pace; as it performs its ∆±i ages of exist¡ence.

Existence rquires travels through the scales of the fifth dimension from that seminal to the emergent scales, in an ∆+1 social world back and forth through the eons of zero-sum beings.

As such a supœrganism is always defined from the human point of view of kaleidoscopic perception as a world cycle travelling through a given ∆±i symmetry we ‘perceive’ self-centred in ‘certain singularity-particles’ of certain stiences.

A super organism will be within the ‘limits’ of ∆±3 scales self-centred into the ∆º being (the seminal-world, ∆±1 scales; the energetic, ∆±2 scales, and the informative ∆±3 scales), a knot of Non-Æ flows of energy, information and, entropy, which make the ‘transference of’ motion and form’ between scales, as the being ‘lives’, grows, multiplies and orders a territory.

So each being is a knot-flow focused at ∆º and moving through an St±i ternary scale of stiences.

It is then this ∆º systems what we can study through different stiences and species, as the fundamental particle of the Universe, which will always follow the same ex i actions, trying to reproduce≈survive its complex ‘information’ as a knot of time-space cycles.

Dimensions are motions perceived as stillness.

The Paradox of Galileo, the key logic concept to understand the meaning of dimensions, astoundingly ignored by science for 400 years: ‘why if the Earth moves, we see it still?’, which can be enlarged to this question: ‘why we see everything still, if all what we study in a quantum scale has motion?’ IS the key to unveil the dimensions of the Universe.

The answer given by quantum physics that we shall expand further to all scales is the law of complementarity: ‘all what exists is still and has motion at the same time; all is a ‘particle’ and a ‘wave’’, but we perceive a limited quantity of information about reality – either, but not both, dual, complementary states, a motion state and a still state.

Thus, we apply this duality to the definition dimensions: dimensions are both, an extension of fixed space, perceived as motion or a motion ‘perceived as fixed space’. For example, the ultimate space of the Universe, vacuum, is teaming with energetic motions that appear at a large scale ‘as fixed’ space-distances (quantum vs. relativistic view); Galaxies separate from each other at huge speeds but we see their ‘motion’ as an expansion of space…Thus:

‘A dimension is a motion perceived as still extension or distance’.

Hence dimensions can be generated by motions of particles and reproductions of waves. In the lower scale of string theory we can describe those dimensions as the reproduction of strings. But what matters to us is the vacuum of our scale of space-time; which can be seen as electromagnetic motion at c-speed, since it is filled of light and background radiation, or as vacuum space.

This duality of motion-distance is similar to the way we perceive a car moving also as a fixed line of distance in a night picture, or the duality of stop and go of a film camera, which is perceived as motion. And it has deep implications, which help to resolve many uncertainties of physics.

It explains the generation of dimensions:

A point with motion creates a line dimension; a line in motion creates a bidimensional plane of information; a plane in motion creates a mass-volume and a volume in motion creates a life-cycle or world-cone – the concept used in Relativity to define the 4th dimension of time.

The reader might notice that those motions become perceived by human senses as a duality of motion-stillness, so the 1st dimension is seen as speed, the second, a plane or sheet of information as the page you are reading as ‘still form’ or information the 3rd, a volume or mass becomes again a stillness, and the 4th a world line, which is substituted by a time cycle, as motion again. Thus again the past, the 4th dimension becomes ‘still’ and the future, the 5th dimension, an uncertain motion.

Indeed, theoretically, prior to Absolute Relativity there were in physics only 3 dimensions of space and one of time.

But under the duality of the Paradox of Galileo, in reality those 3 dimensions of space are also motions. And indeed, it is obvious at quantum scale that ‘space’ is really a bubbling world of electromagnetic energies and particles condensed from those energies.

This also applies to our scale. So if we consider the motion of a gas, volume is proportional to that motion/temperature: PxV=knT. But volume is space; so space grows as motion grows. And it applies to the aforementioned cosmic scale of galaxies moving/creating distances.

Moreover we observe that each ‘bigger dimension’ includes the previous ones. So the line includes the point; the plane, the line; the volume the plane and the world-cone the plane.

Can we extend this growing game of dimensions in motion that create a new dimension? Yes, we can, when we do a proper analysis of what the 4th dimension of time in General Relativity really means – something which as most definitions of physics is far better understood in mathematical terms than in logic, conceptual ones. Indeed, physicists, unaware of the paradox of Galileo still draw higher dimensions as weird spatial drawings, when beyond the 3rd dimension our ‘senses’ spatialize, by creating the stillness of light-space, all other dimensions are perceived as motions in time. Hence there are not ‘weird’ impossible drawings of dimensions beyond the 3rd one of ‘volume’, for reasons that go beyond this introductory lesson on Absolute Relativity.

Physicists spatialize time, in terms of its ‘present’ dimension.

Few physicists understand that time has also 3 dimensions, since they only study ‘simultaneous measures’, mathematically described with derivatives, ∂t, which are an ‘instant of time’; that is, a slice of present in the total flow of the 5th-6th dimensions.

This was further proved by Einstein’s Relativity a theory, which is concerned with the values of ‘simultaneous measures of space-time’, hence with the values of a relative ‘present time’.

This concept of present time derives from Galileo’s measure of speed, V=s/t, ∂s/∂t; hence ∂t=∂s/v. which is the meaning of time in standard physics.

Time is defined then in terms of space and speed (which are according to the paradox of Galileo, similar concepts of fixed space or motion space). Hence physics ‘spatializes time’; and vice versa. In those terms, space is just the perception of present time in simultaneity. Or in words of Einstein:

‘Space is measure from a simultaneous frame of reference’.

Thus physical time, ∂t, only shows a very limited ‘dharma’, or part of the entire flow of time from past (the fifth dimension) to future (the sixth dimension). In physics the fourth dimension is only present time, which is what the Riemannian geometries of Einstein’s and Minkowski’s models of space-time study.

Time though as any child knows before it learns General Relativity, has not only the present time, the spatial ‘dharma’, or slice of the flow of time that ‘freezes’ in the field equations of Einstein. Space is a fixed perception of a time motion.

Thus, all systems must, by the paradox of Galileo, be defined in time and space to achieve a complete description of an event. Then both will be an equivalent perspective on the same event.

TIME MOTION VS. SPATIAL FORM, SPATIAL CONTINUITY VS. TIME DISCONTINUITY.

A true understanding of reality in its fundamental logic principles is missed among huminds because the founders of modern science missed the not-so ‘evident’ visual duality of the Universe between the 3 motions of time (lineal t, iterative hyperbolic ∏, cyclical ð) which form billions of different beings in all scales of reality, and its 3 fixed forms as perceived by its ∞ monads≈ §patial minds, @, which stiffen those motions into forms (lineal distance, \$, hyperbolic bidimensional space curvatures, S and cyclical space-information, §).

And the other two logic dualities between lineal, flat, small, open and cyclical, large, closed forms; and small discontinuous and large continuous parts. The 3 dualities we illustrated with the picture of Saturn’s rings also discovered by Galileo ARE all over the place in mathematical physics (i.e. lineal small steps of momentum described by Newtonian 2nd law vs. closed cyclical energy paths in the Hamiltonian/Lagrangian  formalism; ∆-1 quantum discrete eigenvalues in quantum physics vs. continuous differential equations in the other extreme of ∆+1 gravitational relativity, algebraic still ‘Groups’ vs. analytical ‘steps’, matrix’ Heisenberg descriptions vs. wave Schrodinger’s dynamics, etc. etc.).

It is then all the more surprising that a serious philosophy of dualities and ternary symmetries have never been explored. How is this, has to do with the automaton, mechanical praxis of modern science. In fact, the years I tried to spread among scholars 5D², as the world chair of the science of duality in the milieu of systems sciences, I was receiving questions about the ‘utility’ of this work which simply puzzled me about the nature of the humind, as I live in awe of those symmetries, like the one just explained between simultaneous superorganisms and time worldcycles. And simply concluded that huminds are not much interested in ‘the territory of truth, which is like a path on a cliff, a thin line we fear to walk through’…  as a polish poet concluded. Poetry indeed being the higher Disomorphic form of verbal mirrors.

But it is not the mathematical formalism as mirror of reality truth? It is, but only a single mirror of the poetic disomorphisms of the universe, which are all based in symmetries, dualities and ternary forms.

But, and this is the biggest handicap of mankind, huminds are self-centred and one-dimensional. They want single truths. They abhor polidimensional views, as the Universe abhors vacuum – a meaningless word as all space has motion, and all time has form, and when both do not exist nothing exists.

So the concept of multidimensionality, symmetry, duality and ternary forms puts ill-at-ease most huminds. And yet without exploring the dualities and ternary symmetries of space and time dimensions we cannot start the game of existence we all play.

Of them, the most important trinities is that of co-existing planes in super organisms, the present scale, and then two ‘extra scalar dimensions’, entropy or dissolution, 4D and social evolution into wholes rule by singularity minds, 5D.

Of all this humans understand very little as they are ‘evident beings’ with a hard time looking at time, specially at the future, with its intelligent variation, always focused in the past, with its memorial forms. So we shall repeat the basic notions of reality hoping the human or robotic ‘future’ reader can memorize them.

Now we shall bring a new fundamental law or fundamental symmetry between space and time states, which illuminates its constant interaction.

As we cannot distinguish time from space states, they must appear as ‘pairs’, but as time is always a sequential flow those pairs must appear consecutively, and we shall call that flow of sequential states of which there are only 5  dimensional variations, THE 5 motions of time & space:

t≈t (3D), s≈s (1D), s<t+t>s (2D), ∆-1 s>>∆+1 s (5D), t+1<<t-1 (4D)…

A minimal MOTION in time and/or space, thus becomes the fundamental ‘dynamic flow’ of reality. Let us see then how the Universe moves through ‘repetitive’ or ‘s<≈>t’ feed back variations.

Motion and form, the two elements that combine into energy beings.

This is the fundamental principle of physics, called the principle of relativity:

“We cannot distinguish a motion from a still dimension (form or distance).’ Poincare…

‘as each dimension of space= form is accompanied b a dimension of motion=time, ST≈ST≈ST’.

SO WHAT WE CALL MOTION IS IN FACT A BEAT OF CHANGE, AN S-S, OR T-T, OR S-T OR T-S STEP… in a  constant form-motion, information-entropy, perception-reproduction st-st-st beat; as all motions can be reduced to that constant reproductive beat.

Let us then explore the concept of ðime cycles as carriers of information, and its three arrows and the systems made with them as organic elements, entropic limbs/fields, body-waves and informative particle-heads – its simultaneous perception in §pace – departing from its simplest forms, which are topological bidimensional forms.

So what IS the proper way to make sense of the galilean paradox?

Conceptually the way to go is to accept the stop and go, the dual dimensionality of all systems which are motion and form, momenta, energy, and so we move from Galilean relativity, the single being, to the holographic principle, the mind seeing it as dual motions and forms.

BUT AND THIS IS THE BREAKING INSIGHT, the still view is that of the mind – the motion view that external to our mind. So we must recast the question of relativity:

‘why minds still the motion of the Universe” And how this through relativity, distort our in-taking of information as human beings?

The answer is ontological: to perceive you need a still mind mapping; motion is unfocused, and adds too much information which a small mind cannot fit if it wants to portrait a still , perceivable image of reality.   THUS PARTICLE-HEAD states are informative minds that stop, and wave states move the system.

But why we do see form with the mind, motion when we adopt an external point of view? To understand why we have to understand first the mind.

Because IT IS OBVIOUS THAT WHAT WE SEE AS SPACE IS A MAYA OF THE MIND, WHICH CAN BE MATHEMATIZED, OR TALKED ABOUT OR PICTURED, BUT STILL WILL BE THE ELECTRONIC MIND AND ITS CAPACITY TO PERCEIVE LIGHT IN ‘STOPNESS’ (Constancy of c-speed, which conceptually means simply, we, or rather our ‘electronic minds’ – and the electronic digital minds of atomic computers – SEE LIGHT as stopped in its source, with always the same speed.

The mind is as in that case, since electrons ‘perceive’ waves of light as stopped photons, always present in the way mankind perceives, measures, and so with its electronic instruments.

So let us then consider what the mind is, as it is obvious that there is a feed-back equation going on in reality:

§@ ≈ ∆ ð

The Universe is made of ‘Motion and Time’, ‘Lineal and Angular momentum’ Motion with form. But motion dominates form. Even if the mind thinks otherwise because of the Galilean Paradox – the duality of stillness and motion, as we perceive the Earth still but it is moving.

Yet this paradox is indeed the proof that form, information dominates motion, because the mind prefers to see still information to blurred motion.

The perception of time and space as a moving cycle or line or a fixed form or distance is obviously an effect of the mind. It is NOT there, it is the mind that stops time cycles and lineal spatial motions.

This must be understood from the beginning, the ultimate reality is motion not form, time moves and space moves. They just move in different shapes. And then minds, lock those motions into a simultaneous, ‘informative’, ‘dimensional’ shape because it sees those motions in ‘slow camera’. The arrival of filming makes this easier to understand. Stillness is just the perception of very fast cyclical motions, as when we see a turning wheel as a fixed form.

So often we see motion as distance – we cannot distinguish motions from dimensions of form (this is the meaning of relativity, the relativity of all motions).

The duality of motion-distance is similar to the way we see a car moving in a night picture as a fixed line, or the stop and go duality of a film projector, which is perceived as motion. And it has deep implications, which help to resolve many uncertainties of physics.

It manifests in different forms in different scales. Perhaps the most important expression is the duality wave-particle, still ill understood in quantum physics.

We shall consider of its many consequences 2 of them – an objective explanation of the constancy of light speed from relativity and a footnote on its duality in quantum physics.

The physical world is dual  from ‘above’ (the cosmic scale) to ‘below’ (the quantum scale), to quantum discrete motion to go ‘actions’, from the duality of motion vs. still perception or ‘Galilean->Einsteinian relativity’, to the basis of our understanding of science is the finitesimal small vs the finitely large (infinities do not exist in the metrics of the 5th dimension, hence the use of finitesimals and finite, minimal and maximal n-1 quanta and U+1 worlds).

EINSTEIN’S RELATIVITY: adapting discontinuous scalar space-time to continuous single space-time.

Now, the next instalment of the analysis of galilean relativity between motion and stop was einstein’s special relativity and again, he, unaware of the duality of dimensions of motion and form, merely went further into the obsession of measure, translating the effects of ‘warping’ of space that shortens it, when information is imprinted by light in the previous quantum potential of lineal form, adding to the measure a -ct factor of warping. This was special relativity concerned with that translation to our world where we do not see the quantum potential – hence we add the warping to scale up the process into our ‘terse’ space-time.

And further on, we do not see the stop and go of particles and waves, and so we added the lorentz transformations to compensate in our continuous Universe, and in this manner special relativity maintained the fantasy of a continuous derivative motion universe (when it is a stop and go), and a single space-time (when it is a scalar space-time warped in the whole scales).

Motion and form go in pairs, advancing space-time.

The st beatings of the Universe define 4 dimensions immediately of motion, s≈S, T≈t,  S<T, T<S, which are the four fundamental motions of the Universe. BEING THE FIFTH DIMENSION, the no motion of them all in the still pure space-time of the Mind, @.

So departing from 4 motions, we must first consider if an S≈s and a t≈T is motion: it is in the scalar growth OR DIMINUTION. WHILE the stop and Tgo, Stop, Tgo motion and form gives us the other two:

we cannot see motion and form together, the whole and its parts, we confuse lineal detailed view in short space-time intervals with cyclical, larger slower view… such galilean paradoxes are the reflection of Space=time dualities that the mind tries to ‘con-form’ into space-simultaneous view to ‘perceive them’. (Perception being always in space-simultaneity as still form a quanta of space=time).

The Universe is a fractal superorganism of 5 dimensions of space-time, where the fourth dimension of parts and the fifth dimension of wholes create its scalar, organic structure, as it is made of smaller and larger super organisms of space-time.

Those super organisms follow a fundamental logic rule, which started modern science – the realisation that ‘we cannot distinguish motion from form’ (Poncaire, Principle of Galilean relativity) according to which all motions in time can be seen as form-distances in simultaneous space and vice versa.

So we conclude that space-time, what we perceive as motion and form is composed of 5 dimensions of space undistinguishable of its equivalent perceptions as motions of time, hence:

5 D ST = 5 T-motions + 5 S motions (S=t).

This simple equations of the logic behind galilean relativity will suffice to explain all what exists.

As it happens two immediate consequences of the formulae is that being S=T, the maximising function of S x T (S+t being equal to K, in this case 10 dimensions), what the Universe maximises is Sxt+S=t, which given the relationship between space and information and time and entropy we write as exi+s=t, which is the function of existence of the Universe, maximise your function of existence is what all systems, do.

How we do it? Obvioulsy maintaining the balance at S=T. AND SO THE LAW OF BALANCE FOLLOWS, OF ACTION REACTION, OF ETERNAL CONSERVED MOTIONS IN THE UNIVERSE.

The simplicity of the first beats of existence, S=t, s=t, and its s=s, t=t apparent congruencies is only the beginning of an incredible adventure, the motions of reproduction of information across the five dimension of space-time that we call reality.

The first beats of existence.

We start with 2 states: space-form and motion-time. Space is the mind-intelligence, motion the constant original substance the minds try to stop.

The mind tries on the other hand to be also in constant motion, switching perspective not to be bored, so stop and go, but as go is reproduction of form, is really inform and reproduce, and reproduction being st, and inform, @-S.

The maximisation of an s=t balance happens obviously with the maximal number of s=t beats, as s and t become equalised by smaller moments and forms of it, the moving reproducing st>t>st>t ‘actual beat’ is sparkled by explosions of Ss,death.

RECAP.The 5s +5t=10 Disomorphic space-time organisms & the Galilean paradox.

The Galilean paradox simply means there are two realities, as Descartes, founder of modern science, its method and mathematical frame of reference, rightly understood. One the @-mind, which creates the fixed forms of ‘fractal §pace’ we observe (ab. @, §):  §@≈∆ð.

The equation with 5 symbols, each representing one of the dimensions of the Universe of space-time is a conceptual logic deduction of the Galilean Paradox, that expands the concepts of Galilean relativity and Einstein’s relativity to the Absolute relativity of the fractal Universe. So it is worth to detain ourselves in their understanding.

So if we consider space-form and time-motion in its 3 parallel ‘lineal, cyclical and mixed, hyperbolic forms’ we can define 3+3 Ds:

• @: \$, S, §: The perception of time cycles by an space-mind, still, linguistic, mirror of the whole Universe, which ‘seems’ in words of Descartes a devilish virtual form put on the mind. As the mind, @, generates it; we cannot deny this spatial virtual reality, even if it is not the ultimate motion reality. As the mind generates a still=spatial reality, ab. §, we need to describe also space, as generated linguistically by minds in synchronous mappings. We use again different symbols for the different ‘dimensions’ of space: \$ for lineal form-distance, S, for the combined wave-forms and § for cyclical and lineal space, which is CAPitalized as present is its dominant element.
• ∆: t, T, ð: An absolute external Universe, made of scalar dimension, which in each one of them shows 3 varieties of motion, lineal time motion (t), cyclic time motion, ab.ð, and its ‘combinations’ for which we shall use the CAP symbol T, as present is dominant. Where ð cyclical time is measured by frequency, ƒ=1/t, inverse to lineal time s all has in detail motion, and it is structured in ‘scales of space’ (ab. ∑§) or rather ‘planes’ (ab. ∆=∑§).
• ≈: Operandi that relates them, most often a relative equality. Since  the only way we can make logic sense of it is to consider that the mind view of reality in space is parallel, similar, congruent, equal but NOT identical TO THE OUTSIDE UNIVERSE IN MOTION=TIME, with real obvious fractal scales from minimal forms in space to maximal forms.

# RELATIVITY PARADOXES

4 PARADOXES: ∆§-Continuity v. discontinuity; T-motion v. S-form, young; lineal \$t-flat v. old ð§=curved Universe; EGOCY vs. Virtual Existence.

There are a series of ¡logic paradoxical fundamental dualities in reality, which the @ristotelian humind cannot easily understand and so we need really to try by the anti-Goebbels’ method (if you repeat a truth many times people might reason it), to make the @-mind capture the circular complex reality of the entangled Universe.

The biggest handicap for mankind to r=evolve into a higher order of thought IS the fact that individual minds are self-centered and see only a single plane as a continuous surface of space-time, which therefore becomes for them the only reality, albeit it is just a mapping on its mind.

THEN physicists establish measures on that still reality, a mapping of light space-time fluxed in the mind as if it were all and consider those measures absolute truths. This is the ‘positivist’ selfish praxis of the humind ordering its territorial Universe, and so it is the unavoidable form in which technological science will always happen. But if we want to explore science in its latin meaning as ‘knowledge’, truth in its higher degree – ‘philosophy of stience’, we need to go further in our thought experiment, seeking the selfless, multiple truths of the being and beyond into the Tao truth of ∞ beings.

Which by definition will be the pentalogic of the being and the paradoxical logic of the Universe of infinite monads, each one self-centered into its point of order, hence fighting all other beings inverting their points of view. To that aim we establish 4 fundamental paradoxes based in the oppositions between the being and the ‘non-being’ (paradox of the selfish Ego vs. its virtual existence); and within the being, the ternary oppositions of its ∆ST structures, between its larger ∆+1 world that will seem continuous and its inner ∆-1 parts that will seem discontinuous; its open, lineal youth, and closed ordered 3rd age and its motion, entropic and formal, mental states; all of them balanced in its ‘present, classic age and body states’.

WE CONCLUDE THAT ALL SYSTEMS OF REALITY are made of topological space, cyclical ðime, Scales and 0-minds, which they use to perform 5 Ðimotions of spacetime, actions of exist¡ence that allows the system to survive, exchanging energy and information with the environment and replicating its forms in social herds that become new ∆§-planes of the fractal Universe. And that is the fundamental particle of reality a super organism, and its structure made to the image and likeness of the whole.

In reality once you get accustomed to the fundamental 5 Ðimotions and 4 parameters, space, time, scale and mind display by all super organisms of §t¡ence things really get simple as you can always refer all phenomena to the ultimate 5 dimotions of reality, or if we group them in ‘ternary symmetries’, to the scales, spatial topologies and temporal ages of the being.

Yet there are so many variations and iterations on those simple themes that the Universe seems infinitely complex and extended.

Ultimately though all comes to some basic I-logic principles derived of those ternary symmetries.

We shall call them Galilean paradoxes because the main one between motion and form, is the paradox of Relativity that started modern physics and the others can be illustrated with one his discoveries – that of Saturn’s rings:

Dis-continuous paradox.

In the graph, Saturn’s rings are not a mathematical plane made of abstract points, despite their continuous appearance. When we look at them in detail they become in fact quantic planetoids in movement, tracing orbital cycles around the planet. They illustrate the fundamental paradox of perception:

Any piece of time/space seems continuous, from the lower ∆-1 perspective, as larger planes of reality with slower time cycles transmit less information, and we peg it together those bits of information, jumping over its dark spaces; but when we analyze its parts in detail, we receive more information so the system becomes discontinuous, made of space/time quanta moving in cyclical paths.

Thus of great importance for all sciences are the dualities between the ‘extreme scales’ of the being – its ¡-1 discontinuous cellular/individual scale and its ¡+1 continuous larger world, observable for example in the quantum discontinuous vs. Einstein’s continuous larger cosmological world, or the discontinuous cells and the continuous membrane that encloses the organism inits largest view, including the infinitesimal mind, and so on.

The key to the Unification of Organic and Physical Sciences is the solution of one of the longest disputes of Physics and Philosophy of Science regarding the nature of space and time: are they continuous as Einstein said or discontinuous as quantic Physics and Biology pretend? Time and Space are not a continuum as Einstein thought.

There are in the Universe infinite clocks, forms of reality that trace discontinuous, temporal cycles; and infinite pieces of spatial energy, quantic spaces, divided by membranes, borders and discontinuities, both in organic and physical entities.

The quantic nature of space and time today accumulates enough proves, despite the respect that Einstein’s work still causes, as to be the cover of prestigious scientific magazines. And it will revolution all disciplines of science, since all of them use those 2 parameters to explain their species and laws.

It also implies the equality between energy and space on one hand, and between time cycles and bits of information on the other. The only real difference between those concepts was the pretended continuity of time and space Vs. the proved discontinuity of information and energy. Thus now we talk of 2 concepts that suffice to explain reality: - The space and energy of any quantic being, homologous concepts, both in Biology (where we talk of organic space) and in Physics (where the vacuum is considered a form of ‘dark energy’). - And the bits of information or temporal, genetic memories and cycles of any being.

Since information is stored in memorial patterns that accumulate over time and it is processed in a cyclical manner, as time is. For example, we measure a computer’s informative capacity in Mhz, or quantity of temporal cycles of information the computer processes each second. The 2 fundamental substances or states of reality are thus spatial energy and temporal information that we will call, when properly combined, temporal energy. We are made of energy and time, which our mind often perceives as fixed space and fixed information, but are truly organic, moving forms. And so the analysis of the relationship between fixed space and ‘moving energy’ and between cycles of time and ‘information’ is essential to understand what we are made of, and how we perceive those 2 elements in ourselves:

And we call its perceptive dualities of ‘Endophysics’ the Galilean Paradox, as humans perceive the Earth still as a whole space. But as we increase the quantity of information=truth we perceive it becomes a rotating, moving mass of atomic clocks (‘e pur si muove e pur no muove’).

Continuity or discontinuity, motion or form, flat or curved Universe; Both.

In the XVII c. Descartes founded a mathematical artifice, the cartesian space-time plane, that allowed him to plot time in lineal terms and Galileo used it to define time as a parameter of lineal space-motions, reducing time studies to a single form of change and all its time clock cycles to a single time clock (time-space relativity, v=s/t, time as measure of translation, use of clocks, etc.):

The discontinuity of space and time is the key to unify the laws of sciences that describe different species, which occupy a certain organic space and last a certain time. In the graph, Saturn’s rings are not a mathematical plane made of abstract points, despite their continuous appearance.

When we look at them in detail they become in fact quantic planetoids in movement, tracing orbital cycles around the planet. They illustrate the fundamental paradox of perception:

Any piece of time/space seems continuous, but when we analyze it in detail, it becomes discontinuous, made of space/time quanta moving in cyclical paths. The key to the Unification of Organic and Physical Sciences is the solution of one of the longest disputes of Physics and Philosophy of Science regarding the nature of space and time: are they continuous as Einstein said or discontinuous as quantic Physics and Biology pretend? Time and Space are not a continuum as Einstein thought.

There are in the Universe infinite clocks, forms of reality that trace discontinuous, temporal cycles; and infinite pieces of spatial energy, quantic spaces, divided by membranes, borders and discontinuities, both in organic and physical entities.

The principle of relativity of motion and form.

Thus to fully understand how spatial planes in motion and cyclical clocks can mess together to create the space-time beings we all are (we ARE NOT in a background space-time, we ARE made of vital spaces with rhythms of motion defined by its time frequencies in our human case mostly metabolic temperature regulated cycles), we need to make a further clarification, at the heart of Physics.

It is with the conservation of energy and information the most important law of physics, the principle of relativity, expressed by Galileo (e pur si muove, e pur no muove: the earth moves but doesn’t move – we do NOT see it moving), by Einstein and Poincare, the mathematician that found in parallel this principle: ‘we cannot distinguish motion from stillness, from ‘form’. Look around, all what you see are forms in motion, but we cannot distinguish clearly what part is ‘form’, ‘position’ and what part is ‘motion’. They are very mixed.

What this means is that our two parameters, quanta of space, and cycles of time, do have both, ‘motion’ and ‘form’. But space, does have a lineal, planar, ‘res extensa’ bidimensional shape. We talk fo ‘planes of space’, and clocks of time, are tall, cyclical, informative cycles – you look at information and its forms and cycles in tall broken cyclical forms, a s the screen of your computer.

So we do have certain clear ‘bidimensional properties’ of form and motion for space: Flat planes moving in lineal paths, and Time, tall cycles, moving in repetitive frequencies. And we know that the product of quanta of bidimensional space and time frequency cycles gives us the relative Energy of reality. And we have a very generic formula for it: Ei = ∑Sp x Tƒ.

Definition of a Dimension as motion and distances. The Paradox of Galileo.

The first truism of scalar space-time theory, is the concept of a fractal, scalar Universe that becomes fractal, broken, discontinuous, grows in size, creating new ‘isomorphic scales’ and acquires motion, when we observe it in detail.

Thus the universe of space-time in a less detailed relativistic perception is unique, continuous, still. But in detail, in a quantum vision has motion-’Ðimotions’, it is discontinuous, made of ‘fractal quanta’, which show cyclical clock-like motions – hence it is made of infinite time cycles and fractal spaces, which are organized in scales of size, which grow in information and speed of its rotary cycles when we come closer to them, as fractals do.

And this transition from continuous abstract, ‘background’, absolute space-time to relative, scalar, fractal space and time cycles, with more information of which all things are made is the essential change from classic 4D to 5th dimensional sciences.

All entities exist in a dual state of internal, ‘vital’ space with no relative motion between its parts and external time motion. All has a function in time and a form in space. As Schrodinger’s cat, all is dead and alive…

The Paradox of Galileo explains those dualities of motion and stillness, continuity and discontinuity and the fractal scale of non-Euclidean points, which grow in size and form according to the point of view of the observer. Yet since motion, discontinuity and fractal structure becomes evident as we come closer to the object, increasing our information and the truth of an entity is a direct function of the quantity of information we have of it, a Universe made of motions NOT substances, of discontinuous, fractal space-time, not of continuum fixed space is more truth.

Thus, all systems must, by the paradox of Galileo, be defined in time and space to achieve a complete description of an event. Yet the fractal, discontinuous, moving, scalar description is logically more truth. Indeed, in the formalism of Non-Aristotelian logic, ‘truth=information’ is measured in terms of probabilities and is a function which increases proportionally to our closeness to the entity we study and so it reaches 1, when information and truth become the same only when we occupy the same space-time than the being – that is, as Haldane put it: ‘Only the Universe (or any being) has all the truth (information) about itself’.

So we define the dual nature of dimensions: ‘A dimension is a motion perceived as still extension or distance.’

Hence motions of particles and reproductions of waves can generate dimensions. In the lower scale dimensions are in fact defined by the reproduction of lineal strings, laterally, into bidimensional planes and 3 dimensions by the reproduction of a cyclical closed string into tubes.

In the Universe at large, space is a planar vacuum, teaming with energetic motions that appear at a large scale ‘as fixed’ space-distances (quantum vs. relativistic view); and its ‘units of substance are rotating Galaxies, their time-clocks. Some consequences of this Galilean duality:

– The vacuum of our scale of space-time is made of light, which can be seen as a single sheet of fixed space-distance or as electromagnetic motion at c-speed. Since vacuum is filled even in its minimal energy density by a background radiation light – a fact that explains the creation of virtual particles, the first condensation of ‘Ðimotions’- space into light waves or clocks of time (closed light paths, which start with the ‘first’ clock, the electron, a condensed density of light photons).

– Galileo’s paradox explains the immortality of the Universe, since a Universe made of motions cannot stop.

A key element to understand the Universe of scales and its paradoxes of freedom vs. order is the perspective any mind has of reality when looking above, to its upper whole, which controls it through invisible networks of information, hence creating an elliptic perspective of decreasing perception – dark view of larger scales we do not observe, from invisible informative networks in galaxies to invisible financial networks in societies to invisible nervous networks for cells. On the other hand in the same scale we have a flat, euclidean geometry of maximal perception with minimal distortion. While looking down to our smaller inner world we rule it with networks that break into fractal webs of simultaneous control, or hyperbolic view. This ternary view of reality has immense consequence from theory of knowledge, to mind constructs, from sociology of power to galactic organic models of a Universe ruled by invisible black holes and dark matter. We feel thus free as individuals but are controlled from above by the larger whole and rule over our micro-parts. As Shakespeare said: we are all kings from above, commoners or buffoons.

In the graph, we observe the astounding beauty of the paradoxes of Galileo, as they can be seen in space, time or relative scales, defining THE ESSENTIAL DUALITIES OF FREEDOM AND ORDER. So topology becomes metaphysics.

The flat, open, momentum-lineal like small distance vs. the closed, cyclical, energy-like time distance is constant theme of all mathematical physics, where the tangent, or derivative represents the minimal step. For example, special and general relativity, or rather lineal quantum physics and cosmological, larger scale gravitation obey this norm:

Minkowski space is a suitable basis for special relativity, a good description of physical systems over finite distances in systems without significant gravitation. However, in order to take gravity into account, physicists use the theory of general relativity, which is formulated in the mathematics of a non-Euclidean geometry. When this geometry is used as a model of physical space, it is known as curved space.

Even in curved space, Minkowski space is still a good description in an infinitesimal region surrounding any point (barring gravitational singularities).

What this means is that special relativity is working in the quantum, smaller space, but when we expand to a cosmological region, we are bending in closed space. So it is a relative point of view what defines the choice of a free moving particle or a trapped particle moving into the larger world

The paradox of Young, Motion vs Old Age, informative stillness: freedom vs. order.

A key element to understand the Universe of scales and its paradoxes of freedom vs. order is the perspective any mind has of reality when looking above, to its upper whole, which controls it through invisible networks of information, hence creating an elliptic perspective of decreasing perception – dark view of larger scales we do not observe, from invisible informative networks in galaxies to invisible financial networks in societies to invisible nervous networks for cells. On the other hand in the same scale we have a flat, euclidean geometry of maximal perception with minimal distortion:

The ego paradoxes of the infinitesimal self-centered being.

∞º: EGOCY PARADOX Humans’  interpretation of the Universe is limited by their ego: Self centered Huminds refuse to give living, organic properties to reality when it is too different from them. So physical systems are denied its Ðisomorphic properties. So we must qualify ‘science’ as culture and doubt a priori any human statement as biased by ‘æntropic=anthropic + entropic’ egos – a sure path to discover falsehoods in science, specially in physics, whose egocy grows as Goethe noted from its higher technical senses, telescopes and microscopes that made them think to be the ‘seers’ of time an space. So only he who measures with digital clock numbers, the language of God; knows time reduced  to locomotion numbers. In the graph, the homunculus’ mind with huge handyman craftsmanship to build  and kill with entropic weapons, a big-mouth to talk idol-ogies of human, mechanic supremacism over the organic Universe and a small  brain to understand nothing.

Of all this dualities come the many paradoxes of the ego: The larger whole always appears to us dumb, because we do NOT perceive all the information of all its ∆±¡ scales, where our +¡ is smaller than its +¡, and our -¡, slower than its -¡.

So the intelligent Universe makes us feel our young ego free; and bold. The older mind though knows it won’t change the order of the larger world.

All of them in any case will see reality self-centered, in its mind that measures only a limited distorted amount of information, because the ∆º mind cannot perceive beyond its ∆±3 scales in which it performs its Ðimotions of exist¡ence, and thinks it is in the center of scale, as it is the region where its measure is more precise and from where more information flows into its mind.

Further on to fit in its infinitesimal all those dimotions, it eliminates motion and keeps dimensional form, in a fractal, smaller mirror images, converging towards the mind. So it sees reality still because it can gauge better its information, but unaware in its naive realism that its language is just a reduced mirror, it believes the being is still because it is dead. Reality is always dead for the scholar, academic mind that cares only about the language, without even realizing the language is WHAT IS DEAD, still, motionless.

The intelligence of the mind thus is truly a reductionist full paradox to keep each monad at its relative center, all of them, ∞º of existence.

And so the ego paradox of the still mind confronts the entropy reality of the moving Universe; the ego-mind and the whole confronts the moving, disordering more powerful whole; and ultimately this is the eternal fight between the mind ordering, wanting to live eternally and the universe of motions, wearing, disordering it, killing it back to dust of space-time: ⌜𝝙@st.

So the 4 main ‘paradoxes of reality’ become then the paradoxes most common in all futile arguments of sciences in search of single humind dogmas. For example, those 4 paradoxes are at the heart of philosophy of physics. They are called in physics the paradox of relativity of motion vs. form that started classic physics, of continuity vs. discontinuity that divides quantum and relativity, hence starting modern physics, the duality of flat vs. curved, open vs. closed free vs. ordered, that is at the heart of ‘young physics’ (flat earth?!), and the ego paradox of the mind that measures and thinks to be above heavens and earth vs. the entropy arrow that will disorder it and physicists due to their worldly profession of making weapons prefer (without renouncing to feel as the scientists with better machines of measure, the ones that talk the only language of God, in their delirium tremens – numbers).

In this ultimate ego paradox we must inscribe the most important epistemological argument of science: the paradox of creationism, as each science believes its language and the limited properties it maps out of the whole are the only language of God and only properties of reality.

So we put in negrita the choices of dogmatic physics in those paradoxes, also in eternal disquisition between other scientists – so in medicine the paradox of the brain as a single block vs. the theory of neurons separated by synapsis was all the rage till Cajal draw them separated… not to speak of the systemic denial of the dimotion of reproduction in any system that doesn’t have our sacred ‘DNA’, when everything that moves and all moves by definition reproduces its in-form-ation when it reproduces its cyclical motion and science exists by definition because it observes repetitions of patterns of formal motions that we call laws of science. So ALL the paradoxes of ‘ceteris paribus’ analysis of science are ultimately also a product of the ⌜∆@§t dualities and the ego paradox that doesn’t see them.

LIMITS ON DUALITY: REDUCTIONISM AND PARALOGIC thought in creationist verbal theories.

A FUNDAMENTAL element always missed, in the most extreme dualities of space and time, are the limits of pure form and pure entropy that translate as limits of life in time and territory in space; which imply all egos will finally be unable to extend further in a Universe of infinite points of view. But those limits are not met in mathematical infinities, neither in verbal hyperbolic discourse as the ego paradox applies them to all other systems save mæn himself. . The problem of course of creationist theories is that they exclude all other languages and all other properties which are NOT easily explained with a limited mind mirror – and all mind languages are limited because they CANNOT fit otherwise without ‘reducing dimensions’ the whole and its motions into an infinitesimal mind.

Further on as Kant realized, minds are synoptic and search always for an ultimate mirror image of the whole – the word God in religion, the final equation or God’s big-bang particle in mathematical physics – or the ego in the selfie, isolated humans of the present entropic age of history:

The present state of both social and physical sciences, religion and Big Bang theory is more of a regulative idea in a kantian sense that a true description of the whole: Pseudo science as defined from Kant to Einstein, consists on studying with hyperbolic expansions, subjects which are outside the realm of experimental evidence, born of the ‘egocy: ego+idiocy’ of man, which is ‘never in doubt’. Our limits of perception of the infinite Universe and its ‘logic’ mind – God… are thus crossed often by ‘creationist’ theories that stretch the capacity of a mirror language to model reality. But once those linguistic limitations and the stringent methodology of truth of the scientific method are applied we can without false assumptions find more modest, realist truths.

All this said we must conclude that a single space-time continuum and its ‘naive realism’ – the philosophy of science of physics – is just mathematical reductionism… what we see is what it is, but only if its properties can be reduced to mathematical equations, which exclude obviously all other vital, artistic, sensorial languages and the properties they describe.

Further on, as digital thought is the language we use to translate measures with machines, which speak that language better than we, verbal beings – it has caused a growing despise of life and worship of machines, the idol-ogy of today, our new religion.

Yet this philosophy is both a limited maya of the mechanical mind-senses, and an ego-trip of the first scientists like Kepler, who said ‘God was a clocker that waited 500o years to find an intelligence like his’…

Such view completely DISREGARDS, the obvious first substances of reality we see experimentally, time clocks and vital spaces, broken by the membranes that divide and evolve those vital spaces into timespace organisms. It might please the simpleton mind, which reduces all what he sees, as the first men though the valley and tribe inhabiting its sacred land were God and all what existed.

But if you want to make serious science you must expand that view, first to understand its substances (or do you see numbers around when putting a microscope on space); and then due to the obvious experimental scalar nature of reality, understand the interaction between scales of parts and wholes that make it all organic.

This of course can only be made with the synoptic mind-mirrors of man, logic time, and its verbal and mathematical languages, we shall evolve in this blog to better focus the reality of space and time. But always being conscious that no language gives us all the properties of space-time, which we must ‘explore a priori’ trying to find its logic, which as Augustine put it is ‘of a higher order than man’.

‘God is the seer of time he said’,hence time was above God, and his logic was above man’s aristotelian lineal thought – which is truth, so we shall explore the logic of a Universe built with 5 timespace dimensions, its logic and interactions first.

Now, the graphs illustrate those dimensions in terms of geometry, the spatial dominant form of mental human languages which observe space and we will upgrade as nobody has done since… Lobachevski (: but with the perspective that mathematics while being the most efficient mind mirror of the properties of space-time, is NOT the substance of the Universe, and so only by properly chaining our philosophy of science from the present platonism, or the equivalent creationism of religions to the Leibnizian concept of a relational space-time Universe, of which we are all made, we shall make sense of it.

# DUALITY IN TIME.

¬ THE ENTROPIC LIMITS SET BY EACH WORLD.

In the graph the entropic limits of the galaxy, C-speed constant which is the constant of  lineal \$t reproduction of information and 0 temperature, which are the absolute metric limits of the galaxy. They can be breached to their ‘own peril’ by masses which become disordered into radiation. Thus in the nested Universes ll super organisms set limits to its inner systems BOTH of information, form, space, distance, and motion, speed and scale, on the upper social boundaries. In human super organisms, fractal nations, those are the limits of spatial borders, informative money, and social power, which establish the social structure of the system.

A KEY element so often ignored specially in supœrganisms of History are the entropic limits set to the individual within the larger ecosystem, both in time, space and scale, which limit its freedom of existence and social power.

Entropic limits ARE the very essence of all supœrganisms, and the biggest handicap for mankind to overcome its mortality as a species, founding a better world, based in ethics, a planet without borders (space limits), idol-ogies (mental limits) where all could thrive.

Entropic LIMITS are NOT abstract but organic, biological laws as they can kill, and do kill those who trespass them. In essence those limits are thus invisible, temporal not spatial, even if they can be reinforced spatially but often acquire the form of a motion and are internalized by the logic systems of the mind. I.e. a dog can be a limit for an entire sheep herd, even if it is just a point in motion, memorially reinforced by biting sheep on their legs.

So the huge difference between the placental and existential cycles is the clear limit for the existential cycle of availability of energy, but even more stringent are the limits when the herd-state of an ecosystem becomes a closed superorganism, as it is happening to History, enclosed by the ‘capitalist’ world of company-mothers.

It is such a stringent limit from birth to death, when you live within such super organisms that the blind cells of the body of a nation or civilization are not even aware of the existence of those limits since the mind has been imprinted since birth and limited in its perception of information by the neuronal, upper, informative people-cast that control it.

Entropic limits can be found in all the scales languages and stiences of reality, starting from the concept of an open ball with in a Klein hyperbolic geometry cannot be reached, as they offer resistance to motion to the galaxy c-speed and T=0 limits of Spatial lineal motion, and cyclical information (since either as still distances or Dimotions of space-time).

However the ‘spatial border limits’ are the easiest to cross, and best understood. In 5D the true limits are those of scale – social limits of growth, and of time – death limits of decay, which are considered in many different posts.

DEFINITION OF ENTROPY AND INFORMATION AS TWO FUTURE ARROWS.

The arrow of entropy, expansive space and disorder, only acts in the scale of temperatures of the Universe, as it was defined studying Gas, by definition, the entropic, expansive arrow of temperature; inverse to the arrow of crystal solids, or cold temperatures that in fact reduces the entropy of a system.

So entropy is really the expansive, disordered, ‘lineal, spatial’ arrow of temperature. While symmetry, crystal formation is the cold, implosive, ordered arrow.

So not even in the realm of temperature entropy is a Universal phenomena as physicists, specially those dedicated to manufacture weapons and make big explosions want us to believe (nuclear physicists with its big bang theories are the meaning of it all, the heirs of Galileo with his lineal concepts of time, physicists making transport machines and weapons, which are the ones that found the concept of entropy and then decided to expand it to everything else).

The problem is ‘military physics’ have all the power. So physicists of solid states; philosophers of science; theorists of information, evolutionary biologists and all those other people who study all the other clocks of time, and information processes of the Universe have not so much impact.

Now in this case entropy simply, because it is a process of ordinary hot matter has nothing to do with black holes. There is nothing to prove in experiments related to liquid vortices with black holes. As entropy does not act in scales below (where temperature as a clock of motion ends, atoms become plasma, and are guided by frequency clocks of the quantum scale), or  gravitational scales above (where temperature as a clock of motion also ends substituted by speed).

So what is all this thing about black hole entropy, and black holes traveling to the past and evaporating with entropy? Mere nonsense, fantaphysics of people, which want to call the attention of the world, by speaking of themes, we do not have any experimental evidence and so we can say whatever we want, or themes physicists have not properly defined, stuck in their old errors and lineal ways.

Entropy, the arrow of disorder that erases information, the arrow of order.

Since entropy and black holes – the 2 themes of this post – are themes of which physicists do not have much idea. They don’t know what black holes really are made off – as they cannot see them. So they can say whatever – and they don’t understand what entropy is. I know you don’t believe me so, we shall quote the father of Theory of Information and Cybernetics on this:

“I thought of calling it “information”, but the word was overly used, so Von Neumann told me, “You should call it entropy, nobody knows what entropy really is. So in a debate you will always have the advantage.”

Von Neumann to Shannon, father of Information Theory.

Since I was a kid, what call my attention on the Intelligent Universe were those ‘big concepts’, starting by Energy, Information, Space and Time, which are the widest concepts of reality. And found many obvious errors in the way humans tried to IMPOSE their opinions, gadgets and machines to the Universe, WITHOUT any respect of what the Universe shows.

So the first obvious human, mechanical bias is the way we measure time. We do NOT use any longer as we used to do the cyclical rhythms of nature, but the mechanical clock, and try to reduce all the cycles of nature to that mechanical clock and its steady state one second rhythm. And we pretend that is the ‘absolute time rhythm and only one of the Universe!

This is akin to the old ways of astronomers who tried to impose to the Universe the frame of reference of the Earth as its center. It does work despite its bias, so with complicated cycles you can explain it all, from the point of view of the Earth, but calculations become very complex with epicycles and extant, etc.

So happens when you do NOT use the clocks of Nature, which soon will be defined here. Physics does work but it is overall very complicated when dealing with different time rhythms, and one century after Einstein found there are many such time rhythms and some change its speed there is zero understanding of this.

We just put some ‘new epicycles’ called Lorentz Transformations, but since we are stuck to our ethnocentric clock, as old astronomers to their earth-centric world, the explanations are blurred. Men merely try to feed the Universe onto their ‘time view’ or rather mechanical view of time. And the Universe is much ore complex and rich in clock rhythms than that.

Indeed, why we Humans use a mechanical clock with an artificial rhythm to measure time; If the Universe has infinite rhythms? It is just an ego trip and the worship of machines that characterize the western civilization. Thus when the Brits got to China to sell their ware, was the answer of Tao=time masters: why we want to buy your ugly mechanical clocks if we can observe the Universe with its clocks of nature, its cyclical rhythms? Obviously, the mechanical clock with its single steady state time cycle IS a human artifact.

Time did exist before mechanical clocks with his own rhythms. Its own Universal time clocks. The mechanical clock is NOT a Universal time clock. So the use of this human clock to measure all the time clocks of the Universe bias our concepts of time, and ‘hides’ the clocks of nature. So the next fundamental question in our search for proper definitions of time, entropy and black holes becomes obvious:

– What are the true clocks of nature? And once we find how Nature measure its cyclical time frequencies, we shall wonder are those rhythms of time stable, steady state rhythms as those of our mechanical clocks, or they change rhythms, have different ‘time speeds? And how they measure information and create it, as opposed to the creation of disorder and entropy? And which of those concepts order or disorder dominates the Universe?

Bias introduced by anthropocentric, mechanic clocks to measure all times of the Universe.

In the graph, the infinite cyclical clocks of time of the Universe and its relative ‘parameters’ that measure its motion, speed, temperature and frequency were ‘forgotten’, when mechanisms substituted Nature as the ‘measure of all things’, with the arrival of mechanic clocks.

Then Galileo founded ‘ballistics’, today called physics, in his book ‘On military instruments’, dedicated to the study of locomotions and lineal trajectories of cannonballs, ‘for the delight of philosophers and the practical use of artillery masters’.

His goal was to reach the maximal lineal distance possible with those cannonballs. To that aim he established the principles of lineal time, cyclical inertia and a single, steady state mechanical clock time to measure the lineal duration of those canon shots. And soon the single lineal clock became the standard clock and time concept for all time rhythms of the universe. And so the informative properties of those time rhythms and cyclical forms, the multiplicity of time clocks in the Universe, its order and causal laws disappeared.

But of course our capacity to make machines and measure them and put clocks on them, today converted into computers increased. So paradoxically as we forgot the clocks of nature, we grew in our dexterity to make machines to measure nature.

YET the information of the universe is carried in its natural clocks – NOT IN HUMAN mechanisms, nowhere to be seen outside the surface of this planet. And when scientists forgot that, a huge gap on their conceptual understanding of the Universe ensued.

The clocks of nature. Its purpose: to process the information of each species.

Since I was young what call my attention was Nature as it is, not the human description of it, with those mechanical Instruments. To me the Universe was both Intelligent and organic, living Nature.

So I was intrigued by those ‘big concepts’, Space and Time, life and death, and the ages between them, Energy and Information, and the way both mixed in the living systems around me. Those were the widest concepts of reality and certainly the definitions I found of them in abstract science did not convince me – there were not really definitions but tautologies and descriptions.

For example, Einstein, who was supposed to be the foremost expert on time, said: ‘Time is what a clock measures’.

But then I wondered, ‘What kind of clock embodies the full meaning of time’?

The clock of the seasons, which animals used to synchronise their reproductive cycles?

The clock of the days, of the Earth rotating, which life used to synchronise its rhythms of activity?

The clock of the stars, of the beats of birds flying? The clock of a flower blossoming and dying? The clock-beats of my heart, which synchronised the rhythms of my eye winks, synchronised to the rhythms of my thoughts – a second?.

Each of those clocks had a different rhythm and the Universe was filled of them. Yet all had certain qualities: to repeat themselves, and hence when described in a trajectory in space; to be closed cyclical paths, hence with form, and frequency the 2 properties of information – so we will call them all Tiƒ. And to work in harmony, in synchrony, as certain clocks were chained to larger clocks, forming complex patterns of information. Time clocks and information therefore were intimately related.

Physicists in that sense used only a mechanical clock, which closed into itself with a fixed rhythm of a second. And they used it to obtain information about the external motion of beings, or speed. But unlike me, who were essentially interested on the meaning of time ‘alone’, for physicists time was just the submissive, needed parameter to obtain that information about speed in space – time was not the goal but the means to what physicists truly studied motions in space, distances.

So they defined space NOT time. Galileo wrote: V=s/t, where what mattered was to measure V-speed and s=space distances=vt.

Einstein did NOT changed this at all, merely substituted s=vt for s=ct, that is the speed of the object for the speed of light, in his corrections and calculations of the measures of speed and space of objects moving at the speed of light. Again this must be stressed given the profound influence that physicists as makers of the machines and weapons of our civilisations have in the collective subconscious:

Physicists do NOT study time. When a physicist tells you that time is the 4th dimension of space, he is referring precisely to that equation and only that equation, either S=vt or S=ct, this ‘ct’ is what he calls the 4th dimension of space. So he reduces time to a parameter to measure space and speed, because indeed ‘time’ is the parameter that measures ALL KIND OF INFORMATIONS, including speed in space. BUT THERE ARE OTHER KINDS OF INFORMATIONS, IN WHICH TIME CYCLES ARE THE PARAMETERS AND CARRIERS OF INFORMATION.

Informative computer and life cycles.

For example, computers process information and they are basically a series of time cycles, digital clocks. So both time and computers are measured by the speed of its time cycles, in frequency Herzs, Tiƒ. So we said that a computer is more intelligent when it has more ‘gigahertzs’, when his time cycles run faster, when its ‘speed of time is faster’.

What do then a computer time cycles have to do with space? Nothing. There time is still a measure of information, carried in the form of its logic circuits and the speed at which the algorithms of those logic circuits are traced. But now it is NOT measuring the information on the speed and distances of space.

Consider the evolutionary time rhythms discovered by Darwin. Evolutionary time measure the rhythms of change in the form, hence in the in-form-ation of beings. So the fittest species, those with more efficient forms and which act faster in time survive. Think of in-form-ation as ‘form-in-action’, because it is what time is. We perceive time cycles which are, forms in motion, changing forms, temporal forms, forms-in-actions, informations.

The problem though with physicists, as we have said is their megalomaniac, bully attitude; as their worldly profession has always been to make weapons (70% of them still work in the US as makers of weapons). So power corrupts, and their military power corrupts their attitude towards other scientists. So they think what they study is ALL what we must know. Their particles ARE essential. And all other forms of time, informations and beings IRRELEVANT to the ultimate nature of things. Alas, power imposes its view. So whenever you pretend to explain people, scientists and of course physicists, the much wider meaning of time, it is like if you were committing a blasphemy against the religion of time-physics: s=ct≈vt. And that’s all.

So Physicists introduced two reductions of the whole concept of time in nature – to reduce it to study a single type of form in motion, in-form-ation – the translation in space of physical systems or ‘locomotion’. And to reduce and equalise all the clocks of nature, from orbital systems, to living systems and their world cycles, to evolutionary cycles, to mental cycles, and logic cycles, to a single clock tic – that of the clock. So they came with the infantile concept that time has a single tic, and that tic is like the clock, a steady tic. Yet it is evident as you have experienced with the growing speed of time of your computers and mobiles that even among mechanisms there are different speeds in their clocks, and this speed increases with the evolution of the clocks that keep processing ever more information.

And, so happens in nature, where new species are ever faster in their clocks of time. So mammals are faster than reptiles faster than plants. And the next ladder in the evolution, robotic machines are faster than men – and for that reason they are displacing us in all informative processes, as the new white collar pcs, blue collar workers and terminator soldiers, in fields of labor and war (cause of the present existential crisis of mankind, hidden by our financiers and economists working for corporations that make money with them).

So to me the first, most obvious error about Nature, was the way in which humans tried to IMPOSE their gadgets and machines of time measure over the Universe, WITHOUT any respect of the beauty the different rhythms of that Universe showed.

So I threw my mechanical clock, and never have worn one.

In the next graph we show you those concepts visually so you can realize that all is made of cycles of time (seen as information in still relative no motion) and planes of space (seen as kinetic lineal momentum, in its relative motion).

Algebra of space-time systems.

All this said an essential field of GST is the understanding of the relationship between algebraic operators and multiple space-time dimotions, to which we shall dedicate entire pages on the algebraic and physical posts. As to interpret properly the equations of mathematical physics, we need to know what is the meaning of the ±,  x/, and other inverse operations, in terms of space-like dimensions and time-like motions. Consider the most confusing of those operations, the understanding of square constants, which are space-like constants, and  Negative inverse values, which are time-like roots; and the merging of space and time dimotions, treated often as different operators on the same bidimensional being.

The question physicists and mathematicians have always wondered is Do negative roots of bidimensional spacetime fields exist? Obviously they do but as one must be space-like, positive, and other time-like negative, the interpretation of them is straight forward in GST.

If we consider them only in the sense of a subtraction, 3 – 4 makes no sense as there is NOT a negative apple. So negative numbers must mean something else, a new dimension not of static form which cannot be negative but of a direction of motion in time which can be inverse. This was something, surprisingly enough as Time is completely ‘opaque’ to the humind (Einstein’s best definition, ‘what a clock measures’ :), that came to be understood only with Gauss in the XIX c.! So a negative number must mean an inverse direction of time, and so by inverse identity a positive number is not only a static form but a positive flow of time.

It is then evident that because the Universe is spacetime like, bidimensional, a square will be an ss, tt, or st, combination, and while it is impossible to have negative squares space-like, it is possible to have them, ‘time-like’ as inverse directionality.

And since most square dimensions will be spacetime like, the roots of any equation will give as a ± number, the positive number being space-like, and the negative number being time-like, which are fundamental concepts for the interpretations of the solutions of mathematical physics,

Which means that a negative imaginary number, is the ceteris paribus time-like solution to a spacetime bidimensional form. Yet since there are 5 possible spacetime Dimotions, for each dimotion of spacetime we must interpret the meaning of the ‘space and time-like solution’, within the context of the equations.

Some rules though will be of guidance specially in quantum physics: the arrow of entropy is the inverse of the arrow of information (4D. vs. 5D.); the arrow of locomotion is the inverse of the arrow of perception (2D. vs. 1D), and only the arrow of reproduction (3D) merges them.

And as humans have the arrow of information as its relative arrow of future, in lineal time, 5D and 4D will often appear as an implosive future solution (mass, charge) vs. an explosive past solution (energetic entropy, antiparticle).

Ultimately the Universe is about zero sum balances between the ± arrows of past and future, space and time, entropy and information, stop-perception and motion; and so we shall find always this dualities which MUST not be generalized beyond the local symmetry we study. I.e. positive and negative charges will give us for each particle an antiparticle that will seem to travel to the past as it will be the inverse of the particle, and often signify the arrow of death, and when combined (mesons on the gravitational scale, muons on the quantum scale) will give us the shortest living=dying process.

But we should NOT extend the concept of antiparticle to ‘antineutrinos’ or ‘antiprotons’ which do not have charge.

Negative beings/numbers thus are an entirely new Universe, when we go beyond the mere detachment or split or scattering of a superposition of identical elements  A – B and consider a different type of operations: A <≈> – B, those which put in an a(nti)symmetric relationship two inverse values, as we are now introducing a ‘dynamic dimension of motion’, with the consideration of the negative number as the inverse direction of the positive number.

And this allow us to use negative numbers as ‘antisymmetric’ states, positive numbers as ‘symmetric’ states, and 0 as the ‘identity=asymmetric state’ or ‘seed’ of the split between both inverse directions.

The life death-cycle: the ultimate proof of the duality of time arrows.

Reality is a creative process in which infinite forms constantly imprint surfaces of energy with fractal patterns, defining the dominant arrow of time in the Universe: information, which constantly grows the complexity of its forms from a relative past into the future. Thus, we define for any system the arrow of information from the perspective of the ages or dimensions of time, past, present and future:  All complementary systems warp the spatial energy of the Universe into dimensional form, reaching a limit of warping, as they move from a past age of ‘pure energy with minimal form’ or young age of the system, into a relative present, mature age of balance between energy and form, or classic, reproductive age of the system, in which they often decouple=iterate=reproduce a self-similar form (hence creating a dynamic present, as the repeated form seems to leave reality unchanged) to end in a future 3rd age of maximal form and minimal energy. Then the form explodes back to the past in minimal time, unfolding all its warped form into pure energy, hence dying. And this is the 2nd arrow of time, entropy – a fast motion of time towards a past without form. So we can unfold the Generator equation in 3±1 ages to define the cycle of life and death of all systems between birth and extinction:

∞Ix0 E (seed)->Max.E xMin.I (youth)->E=I (reproduction)->Max.I xMin.E (3rd age)<∞E x 0I (death)

Death implies that reproduction is needed for the Universe to conserve its logic forms. The previous equation represents the evolution of all systems. In Cosmology it represents the 3 solutions to the Equations of Einstein, from the big-bang to the steady state to the big crunch, in a repetitive Universe of infinite cycles. In Physics represents the 3 states of matter: the energetic, gaseous state, the balanced liquid state and the informative, solid state. In Biology it represents the 3 ages of life, and so on.

Those 3 ages of the Generator Equation can co-exist synchronically as ‘subspecies’ that form a ternary system with lineal energy limbs, spherical heads of information and elliptic reproductive bodies that combine both. So we can represent also living systems: as E(limbs)<E=I>Bodies>I(Head).

The equation of the ages of life also defines more clearly the meaning of social networks and the fractal, scalar structure of the Universe: Self-similar, self-reproductive forms chain each other into informative networks without energy, (seeds), which ‘emerge’ in a ‘higher’ scale of existence, going through the 3 ages of life. Then they dissolve the information acquired in that higher scale, dying back into their lower plane of existence. So a seed of genetic information of the relative cellular scale, i-1, emerges as a foetus out of the womb after self-reproducing and organizing its form, in the scale of biological organisms, i, where it lives and dies after a 3rd age of dwindling energy, dissolving back to its lower cellular scale, i-1.

So we can define a parameter of information, I, as a scalar arrow of growing complexity: The simplest i=1 ‘universal constants’ of spatial energy and temporal information, (magnetic and electric constants) combine to form Planck constants, h, also called ‘actions’ of energy and time. They will reproduce on the pure vacuum without form, creating light waves, social networks of h-actions; which evolve further warping into cyclical forms, called particles. Those particles will reproduce and evolve socially into atoms, with an informative pole (I), the quark, with more formal mass and an energetic pole, (E) the electron, with more spatial motion=energy. Both exchange, <=>, flows of electromagnetic energy and informative gravitation. Thus mass and gravitation are the informative forces and particles that interact with light and electrons, the energetic, spatial ones; creating together the next scale of atoms.

So a pattern of social evolution in growing scales of complexity emerges: particles become complementary atoms of energy and information, reproduced in the big-bang and the interior of stars. Then atoms form molecular networks, creating the chemical scale. Then molecules reproduce and self-organize into organic, cellular systems or inorganic, celestial bodies. Next cells reproduce and self-organize into organisms that reproduce and self-organize into societies; while celestial bodies self-organize into galaxies that self-organize into Universes.

MASSES AND CHARGES. THE FIRST CLOCKS OF INFORMATION

In physics instead of information we talk of ‘cyclical clocks of time’, cyclical, formal vortices of mass and charges, which in two scales, the gravitational and electromagnetic scale, store the information of the Universe in its ‘frequency’ of cyclical motion. And they move lineally thanks to fields of lineal spatial gravitational or electromagnetic energy:

Vortex of Bidimensional mass (Max. I) x Field of gravitational energy (Max. E) = Gravitational System

Vortex of Tridimensional Charge (max. I) x Field of Electromagnetic energy (Max. E) = Electromagnetic system.

AND ONE TRANSFORMS INTO EACH OTHER, WITH THE SPECIFIC EQUATION OF ENERGY AND INFORMATION OF ITS SCALE:

E<=>I, WHEREAS I is a charge or mass and its clocks of time, whose frequency is responsible of the attractive force of the charge or mass, thus Mass, Charge =  I(M, Q).

and we write for a present static quantum of ‘time’ of measure, =,  E=M(i)=M, which in Planck’s notation – the one used for complex physics – is equivalent to E=Mc2.

Thus Einstein’s equation merely expresses that the lineal, radiating energy of the light-space membrane can convert itself into cyclical time-clocks as it shrinks by a c2 factor, and vice versa.

The c2 factor being the square surface of light-space that the Mass vomits as it dies into its ‘body energy’. Mass and electromagnetic energy are thus exchangable because they are two sides of an energy-informative complementary entity:

E<c2>M(i)

In Biology we talk of cells and multicellular organisms. And in societies we talk of human individuals and social organisms.

The Hierarchical structure of systems.

The two unifying principles that define similar laws and structures in the Universe are:

– Duality – the existence of a general dual structure, of Body/fields and Heads/particles E<=>I, in all systems that ‘survive’.

Obviously there are broken systems, organisms without head or with 2, particles without field, fields  without particle, but they are unstable, mutations or systems in process of destruction, as death is precisely the destruction of the balance between both poles. So all efficient living or rather existing systems  (a word we prefer as it has no vitalist bias) have both elements and follow laws natural to those 2 ‘widest’ possible concepts of motion and form.

– Scalar structure. That is, systems extend through different ‘layers or scales’ of relative spatial size and temporal, informative ‘clock-speed’ in the Universe.

Since all those systems have a second peculiarity: they co-exist in at least 3 scales interelated, as each scale is in fact an ‘organic network’ of ‘parts’ of a smaller reality.

The Universe is constructed as a game of Russian Dolls of increasing complexity, built over a web of smaller ‘i-1’ beings. So smaller parts, ∑i-1, come together into whole systems, i, which become themselves, relative i-1, smaller units of a social, bigger whole: particles come together into atoms that become molecules; molecules come together into cells that become organisms; cells come together into organisms that become citizens of societies.

This structure is NOT only proper of biological systems, but also common to all physical systems that evolve eusocially from simpler particles into atoms, molecules, planets, stars, galaxies and Universes.

So how the connections of the Universe play themselves? Simple: we depart from two asymmetric elements, the line and the cycle, the small discontinuous herd and the large continuous one, the motion and the form; and then they might come together as a single form ≈ which will be symmetric with itself, in its two parts, as body-wave, as a present co-existing network, that puts together parts and wholes, as a curved, hyperbolic geometry and so in a complementary FASHION they become one.

Or if the symmetry fails, they annihilate each other or one annihilates the other and absorbs it, in a perpendicular way.

The need for space-time together as an observable.Trinity: E x I = ST-beings of energy

The Universe is made of space-time systems.

As Minkowski put it, ‘only space and time together survives’, or as the old taoists said: ‘all drop of yin has a drop of yang’…

…meaning pure motions (entropy) without form is not perceivable, as it appears only as distance or dilation – and this is call vacuum for the whole Universe; and pure form without motion is neither, as it cannot be communicated to the external observer and this is call Black hole in the galaxy.

‘From 1 (the yang-line of entropy) comes 2 (the yin sphere of form), from 2 comes 3 (the yin-yang energetic being), from 3 come the ∞ beings’ Cheng Tzu

We made a huge first statement – that entropy is expansive §pace and information is stored in ðime clocks, just ‘seen’ with different ‘quantity of motion’. Time is form in motion. Space is static entropy.

Yet to fully grasp the interaction of those 2 arrows, we need to explain another fundamental law of the Universe, which puzzles scientists for decades – the holographic Principle – that is, the fact that information is bidimensional, as in the ‘tall, flat screen or paper you are reading’.

The inverse=asymmetric properties of spatial energy and temporal information come together in ternary symmetries.

How can we translate the dualities of line and cycle, motion and form? They are inverse in a logic and geometric way. So we can describe easily the concept of space time inverted properties with a hyperbole. We shall find then that hyperbolic functions, such as e, are fundamental to define the different transformations between space and time:

In the graph a hyperbolic function between a line and a cycle. In general certain cyclical curves follow the relationship between a point of time and a lineal distance of motion.

The Universe is a 5 Dimensional fractal that reproduces vital topologies of time-space, ternary forms of motion and form, which organises into larger, slower scales of fifth dimension of ðime§pace.

Motions on 5D are either topological βidimensional changes (Galileo’s paradox) in D³, or full worldcycles (motions in 5D), and so we must be aware of both.

The main bidimensional motions of a space-time being are motions with form, bidimensional units of:

§, \$: Lineal form x Lineal form=plane of space-distance

E, ∃: max. motion x min. form = wave of energy, entropy, expansive motion

ð: min.. motion x max. form= cyclical time, information, harmonic motion

ƒ: max. form x max. form= informative time, implosive motion.

This initial conditions set the combinatorics of topological motions as each of those bidimensional elements combine with other forming ternary, fully-functional, efficient systems, Γ• that can act feed, perceive, move and reproduce and evolve socially, the five actions, of survival of the vital program of any fractal of information of the Universe.

This basic motions then become repetitive in fractal self-similar beings as each compose motion leaves a memorial trace of previous traces that continue being traced in the same place ‘reproducing the facto the being’.

In this manner physical systems grow in form and dimensions:

Thus the CONSTANT AMBIGUITY in normal and scientific discourse, which confuses entropy and energy on one side and form and information. We can’t escape that ambiguity so we often confuse terms entropy and energy and form and information but we will try to BE PRECISE, when writing equations or explaining fundamental facts.

SO WE TRY TO DIFFERENCIATE ENTROPY AND ENERGY, and CALL FORM, in/form/ation, as here the ambiguity is far more entrenched in the normal discourse, so when we highlight form, we use ƒ and in/form/ation.

For example in E=mc²; E is e, entropy not Energy; m is ðime, an inward vortex of gravitational forces (principle of equivalence of acceleration and mass), and the energy is c x c a wave of light ðime§pace, whose hyperbolic form is in fact a combination of the cyclical mass form and the lineal, expansive entropy of the explosion.

For example, in ‘colour codes’ used by minds to differentiate the four terms, blue is the colour of pure form, red the colour of pure entropy, and its combinations are green the reproductive colour of information with more form and yellow, the colour of energy with more motion. And so the brain classifies reality with those two extreme and two intermediate colors, and we shall observe that all mind-languages are combinations of those four elements.

Some languages are simpler, and then we have the two unperceived limits, black of form, white of entropy and combined greys. Words also have:

Form-subject (human) < energetic-informative verb or ‘action’-momentum: e x i > Entropy of subject (object ab=used by the subject).

Since existence is a game of those 2, 3, 4 elements/dimensions of reality. So we define a conceptual acronym, the ‘Function of existence’:

Entropy x form = energy + Information

But in a license of the inherent ambiguity of those terms we write: e x i = st   entropy x Information = ðime§pace Momentum (integrated for a long period as Energy).

To exist is thus to combine entropy-motions and in-form-ation, form,  in a series of actions of existence, pure motions, energy feedings, perception of forms, communication of information, reproduction of both, social evolution with other forms through ‘ties’, which are flows of sharing of those elements…

Do not be scare by the ambiguity of terms, try just to realize the deep connections between them at a topo-logic level of form and function and when you are familiar you will learn to see reality in a much deeper way. To help we shall consider a simplified graphic of the two poles, temporal form and lineal entropy, and its energy-information combinations.

I apologize because I tend to use in-form-ation instead of form, very often as my texts of 30 years of lonely research started with the simplified model of energy and information (as that is what we perceive)

It is important though to be precise when using those terms in equations and detailed descriptions of beings and its events. So the first question is how can we measure those terms? Even if we don’t perceive. Alas! the Universe is wise and has given us ‘parameters to measure’:

PURE §pace can be measure as DISTANCE and size, S. Pure form can be measured by the frequency of the cycles of the form-clock, ƒ, which in turn becomes perceivable externally as ‘density’, ‘inertia’, ‘mass’ and similar terms for each scale.

Once those dualities are understood, we can compare the properties of both, spatial entropy>energy and temporal form< information, observing the inversion of its qualities and yet, in as much as both have the same number of dimensions, energy and information can transform one into the other by transmuting those properties:

In the graph, the most important function of the Universe is the inverse function between THE TWO LIMITS OF DIMOTION: MAXIMAL Spatial expansion (ENTROPY) and MAXIMAL time space Implosion, in its infinite manifestations. In between motion and form converge to an S=T point of balance, beauty, harmony and reproduction.

Duality: Sp-Entropy, the arrow of disorder erases Tƒ: information, the arrow of order.

Duality is the science, which studies the universe with both arrows of time, spatial entropy, the arrow of disorder and death vs. temporal information, the arrow of order and life – as opposed to physics that uses only entropy as an arrow of time.

To fully grasp the dynamic transformations and properties of energy and information the most important quality is the inversion of its properties and the possibility to transform the forms of one property into the other.

It it thus clear that the generator equation of the Universe is a ternary, feed-back equation that shows the inversion of properties of space and time, stillness and form, lines and cycles, decelerating and accelerating intervals, in its two polar maximal points and its intermediate point of balance:

In the graph, the Universe is a fractal of space-time symmetries across 3 vectorial dimensions of formal motion, the dimensions of space (and its 3 sub dimensions, length,w width and height) the dimensions of time and its 3 sub-ages (entropy, present iteration and future form), and the dimensions of Eusocial Evolution through planes of existence, or long arrow of time.

The interplay of those dimensions and form generate the Universe:

The first equation of time-space, deduced from the previous graph and its bio-topo-logical beats, space-form->motion-time->space-form->motion-time, is the generator equation of the Universe. We can with existential algebra, ¬Æ, define a wave-motion in time, which in its simplex generator will be hyperbola:

In the graph we can see the simplest TŒ, Time equation or function of existence:

Œ: Tƒ=K/S.

Whereas T is time frequency of a time cycle, hence the inverse of lineal time duration, T (reason why we use the To) Symbol.

And space is lineal motion seen as still form.

In other words we could write,  Tƒ =1/T, To=1/S, whereas T is lineal time, perceived in motion as still space.

This is thus the beginning of it all, the existence of cyclical, accelerated time motions and lineal time motions seen as circles and lines of form. The 2 dualities between motion and stop, and between cycles and lines is at the origin of all the realities we perceive and all its events and combined forms of space time.

Thus we could say:

The Universe is immortal because time never stops. Time never stops because time is motion. Motion never stops. It is conserved. Two motions are conserved angular momentum and lineal momentum. They can be seen in a slice of present space as form, or they can be seen in the interplay of its formal motions. Cyclical motion is faster so we call it time, and clocks of time are used. Nature has accelerated time vortices, from hurricanes to masses (equivalence principle of einstein between the curvature of the time cycle or mass and its speed or acceleration), to charges (similar equations to gravitation). Those time cycles of different size are ordered with the previous equation, converted into metric equations:

Sp x Tƒ (substituting now cyclical time for lineal time) = K.

This means Time fluctuates along 3 points of the hyperbola.

And so one creates 3 points. Max. Sp x Min. Tƒ , Sp =Tƒ and Max. to x Min. Sp

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

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, Sp x Ti, 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 i-planes of Vital Spaces and Cyclical Times’ need to be described topological properties (5th dimension metrics), 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 metrics 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 actions with 3 ±= stop and go motions…

Space-time can be seen as a whole space-time or as two space and time or as a sum of parts, many spaces and times. So space can be seen through perception as a single, quiet space, adding all the ‘vital spaces’ of which is composed, or as a sum of ‘quantum energies’ and ‘vital spaces’ that entities occupy. Time also can be seen as a single clock-time for the entire universe, measured with our mechanical clocks or as an infinite number of cycles that all entities trace, each one with a different speed and rhythm, each one with a different ‘form’ or information, provided by the shape of the cycle and its ‘frequency’. So Space is synonymous of Energies and time of informations:

∑ E = S; ∑i=T

This is the first key concept you have to assume to understand the Universe beyond its useful measure by physicists with a single clock.

Further on, we recognize both types of entities by their form: clocks are cyclical, so it is information and its systems. Space is a lineal plane, so are energetic system. This leads to a key principle to understand and classify entities of reality: Form is function. And so the ball – the inner part of a sphere – is the perfect form of information as it is the shape that stores more form in lesser space, and the line or plane the perfect form of energy, as it is the fastest motion/biggest surface of space between two points.

To fully grasp the dynamic transformations and properties of energy and information the most important quality is the inversion of its properties and the possibility to transform the forms of one property into the other.

The dimensions are thus 1 for lineal motion, 2 for cyclical form and so 3 for Energy, which can be considered a sum of the 2 other elements (though the operandi to relate angular and lineal momentum, limbs and head with bodies will vary according to the phenomena we study).

Often in fact we shall use the product to combine them (for the meaning of each operandi look at our post on non-Ælgebra).

The rule being that when we merely peg adjacently a limb-particle system we add it, and when we combine them at the lower ∆-1 scale also we multiply it. I.e. a system of 3 elements and 2 elements will have 3 x 2 possible axons combined each element with all the other elements of the different set. So multiplication combines a system in a lower scale (and it is used for particles), and sum is a superposition more shallow in a single scale (and its proper of waves).

This resumes in its two fundamental equations: e x I = K (that describes any complementary system of energy and information,  in space) and E<=>I (which describes it in time as a series of flows of transformation of energy into information), since E=I maximizes a product of E+I; and so we do have now 3 basic relationships E+I, E=I, and e x I to get a functional balanced form communicating across two scale.s

In physics it followsthose laws are always of the type ‘superposition’ for waves that ad, and product for particles: ST = Space quanta (H, k) x Time frequency (v, T).

So we can easily derive the fundamental laws of quantum and thermodynamics and the meaning of its constants, with the left side equation (which the nuclear physicist will immediately identify with the decay rate of an atom, and the ‘entropic believer’ with the Pv=nKT law of gases).

In that regard, we have now a better mirror theoretically to understand the Universe, with 2 arrows and its energetic combination, so we just need to apply it.

This sound-sound theory of the Universe, IS called Duality, the science which explains reality with the 2 arrows of time, lineal entropy and cyclical information, form, stored in the frequency and form of those logic closed circuits and ‘clocks of time’ of which brains, particles and chips are made.

It has always been with us, for simple humble people to wonder, since even the smallest atom follows it laws. So taoists called yin, information, yang, entropy and its ∞ combinations the creative energy of reality.

Duality as we said has always been in the tradition of knowledge, as it is obviously truth. Specially in Asian cultures. So Hindi called the 2 arrows of time, the female, informative principle, Visnu and Shiva, the God of entropy and death; and its ‘energetic’ combinations the ‘hairs of Brama.’ Duality is everywhere, from the computer you are watching made with binary languages of ‘O’ and ‘|’, to the duality of body and mind, female with curved bodies and males with lineal ones; and then when we look at it in depth, trinity, its combination comes (even there is a gay sex that mixes qualities of both).

The only discipline of science which is ‘entropy only’ and has ‘entropy only theories of the Universe as dogma’ is Nuclear physics. Even if of course duality is all over physics, albeit not expressed in terms of time arrows. So for example, a time cycle which is represented by ‘frequencies’, appears in physics as the ‘inverse function of lineal time’: ƒ=1/T.

The constant transformation of one into another.

Despite their inversion, and this is the most important law of the Universe, energy and information constantly transform into each other. It is the principle of ‘conservation and transformation of energy back and forth into in/form/ation, forms in action’ which becomes the new fundamental law of the 4th paradigm, widening the principle of conservation of energy:

‘All motion, trans/form constantly back and forth into form, combining into energy beings, E<=>I’

Motion and form are the 2 primary elements of the Universe, which combine into complementary systems of energy. And those 3 ‘conserved elements’ akin to lineal, angular momentum and energy, broken into infinite fractal parts can then be ensemble to create the systems of the Universe with limbs/potentials, body waves and particle-heads that exist between its dissolution into ‘scattering entropy’ or its social evolution into tighter wholes. THAT SIMPLE IS REALITY when expressed with the dual->ternary->5D principles explained in this blog.

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, lineal motion (lineal momentum) and cyclical form (angular momentum), 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.

Entropy 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.

How those four ‘logic dimensions’ of motion, information, stillness and entropy recombine is the truly fun moment of creation in time. As all combinations are possible departing from the first antinomial dualities:

Space vs. Time, words so confused in different human jargons that are kept mostly for tradition:

Entropy=expansive motion vs. Information=Imploding motion

Space=stillness vs. time=motion, the most used definition for them, which gives birth to:

Mind-intelligence-synchronous space vs. cyclical time motions, with its two inverse arrows.

This is the ultimate conceptual duality, that between the magic harmonious creation of minds of space vs. Temporal, mindless motion with its automaton deterministic cyclical order.

Time cycles, Tƒ                    Vs X       Entropic Space, ΣEs            ≈ST-momentum-actions- energetic information

Time-clocks: O-form           Vs.        Space motion: Lineal        ≈ waves

Small, still                             Vs.       Large,  moving fast      ≈   Open curves

Tall, Perpendicular                     Vs.             Long, Parallel   ≈  wide, intersecting

Hierarchical  Order                           Vs.           Democratic chaos-freedom

Bidimensional Height                Vs.            Bidimensional Length  ≈ tri-dimensional entity

Cyclical, Rotation, imploding     Vs.            Lineal, uncoiling, exploding   = beating rhythm

Informative Frequency         Vs.             Lineal Speed                        = momentum

Broken  form                           Vs.               Continuous, differentiable

Intelligent, perceptive             Vs.                   Strong, fast.   =        energetic top predator

Social, organic, creative              Vs.           Darwinian, destructive behaviour   =

Future, logic path              Vs.            Past, trailing motion

Life arrow                                Vs.                      Death arrow.     = existential world cycle

Waves of §pace                      Vs.                     Particles of Time

Female, yin principle             Vs.               Male, yang principle   = reproduced child

Masses, charges                  Vs.                       Forces, fields       = energy

Heads  & senses                     Vs.                    Limbs               =  Bodies.

The formal=functional differences between entropy and information (organs) is a duality – the ‘Black hole Law’:

Limbs/fields of Maximal Space=Entropy x  Min. Form Vs.Max. speed of Information=Minimal Spatial extension= heads & particles

For example, as the chip becomes smaller halving its size every 2 years it doubles its capacity to process information (‘Moore’s Law) 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 communication takes place within that brain and the faster it calculates and processes information in a logic manner.

If we consider that each being can be in a time or state of space, the question now is. What defines then its state?

In mathematical terms the answer is its curvature, its form, FORM becomes then the definitive element of being, as you cannot change so fast from cyclical to lineal form and viceversa, as you can between state of form and state of motion.

Cyclical time and the world cycles of existence of beings, made of a sum of ‘actions’, which become ‘arrows of time’ (spatial entropy, temporal form and its e x i =st combinations) which are ordered in sequential world cycles of time, which gives us the sensation of a cyclical time program of past to future, which we can also see as a sum of synchronous minds in which ‘knots’ of timespace actions converge, through several co-existing scales.

And yet despite its inverse properties, energy and information transform into each other ad eternal – a fact, which requires them to have the same dimensions. And indeed, information is bidimensional along the dimension of height while energy is a bidimensional plane (holographic principle), what makes possible the transformation of one into another.

A fact that defines the aforementioned ‘law of conservation of energy and information’ and the ‘Invariance’ of the product of energy and information of any part or whole of the Universe, resumed in two fundamental equations of Absolute Relativity:

e x I = K, and E<=>I, which in general relativity and quantum physics read as ext=K and now we shall expand to all ‘complementary systems of the Universe’.

The game of inversions of space and time.

In the graph we illustrate the ‘Space-time’ Essence: Time is measured with clocks, which are actually, one dimensional cycles. Information is the same than a time clock, a ‘form’ that we see static. Energy is made of quanta, which are lines, that group together into sheets of space. And to perceive them, we have ‘spheres’ made of multiple layers of cells, and cameras which are isomorphic. An to move through Space we have ‘lineal members’, which move us in toroid open and closed curves. And so happens to lineal weapons. And then fields of energy and information make together a light ray, which is really also a bidimensional surface.

How time states transform into space states, how motion becomes stillness, how life dies, how space integrates in time, leaving a tail of memorial quanta, how time integrates in space, creating an organism of multiple flows of energy and information – those are the most interesting and profound dualities of the Universe.

Time slows down till it becomes space, as a new quantum of the upper scale, and then a new clock of time are created.

This is the arrow of growth of the 5th dimension: the slow down of time as it multiplies the quanta into a larger surface.

There is though an inverse game when descending scales.

The clock of time makes the quanta of space grow, till it reaches a limit of death.

Then time becomes space, and a new quantum of time appears, to multiply the quanta.

Then time finds a barrier and all starts again.

So time becomes spatial h-Planck quanta of the upper scale and a new clock, frequency is found: E=hv.

Frequency freezes as quanta, in the form of entropy K-boltzmann, and a new clock, temperature appears.

The clock again freezes, and becomes space, in the form of mass, and a new time clock, speed appears.

Speed frees as c-space, light space, becomes neutrino quanta, and a new clock of time appears…

We shall study those combinations of the 3 x 3 x 3 elements of space organs, time ages, and social quantifiers, ∑s, ∏t, ∆st which defines the clocks of time, quanta of space and forms of transformation, in each specific science in more detail.

Communication of monads: 2nd postulate: Duality’s formalism

DUALITY is in that sense the first ‘isomorphism of space’ – the state that follows the ‘awareness of a point-mind’ with its ‘single inner dimension’, or volume of energy and information, which the outside ‘moving, entropic world’ hardly recognises. But the monads of reality unlike the simplified first versions of Espinosa> Leibniz DO communicate – more akin to the yin-yang/atman beings of eastern cultures.

So the first thing they do is to create ‘lines≈waves≈flows of energy and form between them’, and so a bidimensional entity, made of motions and flows of information appear in any scale of reality. It is formally (II), the ‘second postulate of Non-Æ i-logic’ the formal space-time language of the Universe, whose ∞ forms require a post in itself.

Duality thus become first a flow between 2 points, which by the Paradox of Galileo, we perceive as a distance, a tubular flow, or a plane.

Hence two monads first, an then n-monads will form first a wave and then a plane (4th postulate of ¬Æ), which is in fact a network.

As it relates those points of information, the flows of entropy/motion, and energy (motion with form) will then form a body/wave; and so the simplest 2-manifold of reality, and the most frequent event of existence happens:

It is then, when according to ‘scale’ of stience and type of monads communicating we can start to build varieties of species of 2 manifolds, in all stiences and the catalog is, trust me, ginormous.

## NON-E 2,4 POSTULATES

The minimal Unit of the Universe is a 2-manifold, as pure time or pure space, pure yin or pure yang, pure motion or pure form-stillness cannot be perceived. So all what exists is a 2 manifold that we might perceive as static space (a 2-manifold sheet) or as a point with motion, (where motion is one time dimension and the point, the minimal fractal unit also with a 1 dimension – as there is not 0-dimensional, ‘euclidean points’ in the Universe).

In the graph, minimal Units of the Universe are 2-manifolds, which if seen both static they appear as a bidimensional sheet or membrane, if seen as ST, dual motion-form dimensions they are Active Magnitudes that is Points with Motion or ‘Momentums’, and when seen as pure motion (two time dimensions), they are seen as acceleration or energy.

We call st combinations åctions:  Sp x Tƒ = A.

The Unit of the Universe is a space-time action, which therefore requires at least a dimension of space≈form and a dimension of motion≈time. From this single Unit, the Universe builds itself. Hence the importance of bidimensional sheets (where the relative height dimension of information is minimal, as the system is extremely thin till it might reach the ‘infinitesimal indivisible’, ∆-1 quanta of the lower lawyer: X≈Z>>>Y.

It must be understood though that since the Principle of Relativity (Poincare) makes indistinguishable motion and form, any variety of the 3 motions of time and the 3 ∂till of space can give birth to a 2-manifold, and any analysis made in sequential, dynamic algebra can be explained in fixed form geometry. And so we must wear in mind when we study in detail many phenomena of nature that we shall find at least 2 possible, often 3 identical analysis: a geometrical, an algebraic and a parts & wholes infinitesimal (integral/derivative) analysis.

The duality of space≈form and motion≈time thus explains why we found soon two formalisms for quantum particles (Heisenberg formal matrices and Schrodinger’s wave equation), and then an integral formalism (Feynman’s sum over histories).

It is in that regard essential to understand the underlying symmetries, dualities and ternary differentiations of fractal space-time Systems, Se<ST>Tƒ, so we can interpret the ‘many solutions’ to all problems of mathematical physics.

Points which are knots of time cycles communicate through flows of energy and information, lines-waves that form networks which become finally social planes, energetic, informative and reproductive systems that collapse into super organisms, completing the creative processes of the Universe.

Non-A logic. On the other hand the 2 manifold start truly the game of sequential logic in all its variations depending on the degree of ‘present simultaneity/equality’ of the two elements of the game; as they can be relative to each other their past-entropic or future-informative element, to give us the variations of Past operandi Future = Present ‘tensors of existence’; or possible events of the Universe:

In the graph we see examples of the different ‘tensors of existence’, which can relate two monads into a present, reproductive field (below), a darwinian entropic field, or an informative one, in which both destroy or an element evolves.

In the graph, the ever moving Universe of space-time is made of ‘Tƒ≈eS’ of existence. These ties or knots of space-time cycles and åctions are ‘fractal points’ Œ, crossed by infinite parallels. So departing from the first primary flows of time-space, lineal fields/limbs of entropic energy, hyperbolic body/waves and cyclical fields of information, fractal points create the first simplest Tƒ=es of existence.

Now the reader should notice that we use two ‘balls’ of different size to signify the relative energetic and information points (Max. Sp x Min. I vs. Max.Tƒ x Min. Sp), which communicate an intermediate ‘present hyperbolic wave/body network’ that ties them. This tie or flow of energy and information can be absorbed by the relative point-particles as they are ‘fractal points’ with parts, which become bigger as we come closer to them.

Now the mathematical purest expression of that basic ‘2nd postulate of Non-Euclidean geometry’, the communication of two points of energy and information would be in its pure Euclidean geometrical expression, the understanding of conics (ellipses, hyperbolas, parabolas, etc.) as the loci of communication between two points or one point and a line, which are at equal distance of both.

This ‘loci’ is the communicative membrane or ‘bidimensional space-time’ (if we consider all Non-E points by definition, one-dimensional), wave-body that we shall refer as the O x|= Ø-spacetime present region within each ties.

Now the previous graph shows the first operations of ∆-mathematics, of Non-AE, i-logic existential algebra. How do we such 2 points communicate its flows of existence.

While in Aristotelian Algebra/Logic whereas there is a single time logic arrow, A->B, upgraded to ternary logic in which any event can give 5 results or future outcomes, hence the sum of all the possible stories of an equation will be: A x B = A +B + AxB(parallel) + A/B (perpendicular) + B/A (perpendicular) variations of the first event. Hence we write A≤x≥B as the new operandi which expresses all the 5 variations of those space-time events in the pentadimensional logic of the 5th dimension of ∞ fractal space-times.

Thus we draw a full series of sub-events after any action of communication between 2 ∆-points of existence:

Thus the rules of engagement of non-Euclidean points differ but depart from the laws of classic geometry in which the inner region of the point, its ‘standard one dimension’ (which grows further when we see its internal parts). They make abstract Sp-geometry into a closer truth, similar to the vital ‘geometries’ of the Universe.

The next stage thus after the first ‘postulate of non-e points crossed by infinite parallels’, the second postulate of 2-manifolds born of the communication between 2-nonE points is the creation of non-Sp planes, which are networks made of flows of communication of energy and information exchanged by Non-E Points:

In the previous 3 posts, ‘time motions’, ‘still spaces’ and its combinations’, åctions of exchange of energy and information, we defined in a somewhat loose conceptual manner the fundamental elements of the Universe, its 3 motions of time, entropy, iterative vibrational motions and spherical gauging of information; its 3 symmetries of forms in space (toroid limbs/fields, hyperbolic body/waves and spherical heads/particles) and the combined space-time åctions those entities deploy in the outer World that acts as its ‘absolute space-time’, usually across several ∆±∆ planes of smaller and larger existences from where the system obtains its energy and information.

The answer is points, the eternal, fundamental unit of geometry and its algebraic equivalent, ‘numbers’. So to formalize with proper logic and mathematical languages the Universe of fractal space-time beings, we need to start from the beginnings of mathematics, and re-define properly geometry, and build up from geometry, with the more complex logic of 3 arrows of time, the architectonical structure of the ‘space-time planes’ of the Universe. And finally studying how those networks of points become planes of ‘existence’, we shall be able to define the ‘whole’ in time (the world cycle) and space (the super organism).

In that regard we talk of 3 scales of growing size and complexity that structure the Universe.

• The first level is that of the aforementioned ‘time motions’, which coupled with ‘still spaces’, become the åctions of points of timespace.

It is the understanding of those points of time-space as knots of external space-time’s cyclical åctions of exchange of energy and information, ±∆(ExI), which together evolve socially the system into stable space-time organisms: Exi=ST.

This existential stop and go, space-time action-oriented reality, however must found its formalism. And so when we integrate those space-time åctions together, into a ‘knot’, we define a Œ-point, an existential function, the minimal unit of the Universe in formal, logico-mathematical terms.

1. Thus, the second level of understanding of the Universe is the next ‘scale’ of integration: Existential åctions are integrated into space-time knots-points, and those points then, enact further exchanges of energy and information with similar points, becoming ‘networks’ of waves of exchanges of energy and information – planes of existence.
2.  This brings us to the 3rd level of integration of the Universe, as networks of social points, distribute themselves in space, as energetic-digestive, informative-mental and reproductive-body waves, which messed together create a ‘super organism’ of space-time the fundamental unit and final ‘Universal’, to which all points aspire. And so in time, we can study the whole process of existence of a point of space-time from birth to emergence into the Universal ∆+1 scale, through its life and final death, when it becomes a 0-sums.

This 3rd level of integration which narrates the story of super organisms through its world cycles, completes therefore the ‘first line’ that resumes the Universe through its 3 integrative levels of complexity.

Of course the game is infinite and so we can take then each world cycle and super organism as a relative ‘point’ tracing motions in time, and performing space-time åctions in an ∆+1 higher world, and tell the tale of a new ‘game of existence’.

Thus in this post we start the ‘2nd level’ of complex description of the Universe, that of its formalism of non-e points, forming waves, networks and super organisms. In this post we shall study the Œ-point and its spatial geometry of networks, till reaching the superorganism.

In the next post we shall study the same processes but with the tools of sequential algebra, the formalism of the 3 motions of time, and its complex logic laws, using the last posts of the line to describe the full game of super organisms tracing world cycle of life and death of existence and extinction (homonymous concepts that we prefer to eliminate the anthropomorphism that makes ‘life-death’ seem to be different to existence-extinction shared also by physical and mental species).

Thus, the unit of the bio-logic and mathematical, mental Universe, of infinite frames of reference, made of cyclical knots of timespace åctions, is the fractal point.

Thus once we have evolved our basic concepts of cyclical time, fractal space, dimensional motions, the arrows of time and its symmetries in the morphologies of space, we can reconstruct, r=evolve and advance our formal knowledge of the Universe, departing of its fractal units, non-Euclidean points with parts.

And the first fact we must establish are the postulates of this i-logic geometry that puts together the existential algebra, non-Æ, of sequential, logic chains of time motions, across bidimensional stop and go sheets of holographic space, acting, moving and reproducing Œ, functions of space-time existence.

Monads’ actions create bidimensional fields.

The monad once it is formed, exists to increase its information and energy for its mind and territory of order, and as such it will start to develop bidimensional actions ‘forms with motion’, entropy x information absorbtions and emissions with destiny and origin in its body and mind, which will therefore act, and start the creation of bidimensional vibrations, formal motions, whose different ‘constant elements’ will start to solidify reality into being. The maxwellian demon of a frame of crystalline reference will subtle start the ordering of other particles in its dissolution, the gravitational waves emitted by the black hole will quiet down and regularize the orbits of the stars; the cells around the center, first cell of the morula will consider to take certain functions according to the vegetative-animal axis defined by its center. And the animal will consider its territory with invisible marks of the membrane emitted by its linguistic codes, and flavours. The trekker will seek for shelter and organise around it a tempt, definitively comfy region of temperature storage and light according its needs of heat, energy food and information.

The monad thus creates the Universe as its languages maps reality from its relative point of view, from where the program of survival of GST beings will come into full fruition.

Thus creation starts by the bidimensional communication of a flow of waves-bodies controlled by two different singularities, such as S²<st>T² become the limits of the product of densities, t/s, speeds, s/t and forces sxt . It is within those limits of entropy><energy, S/t x st=S², and energy><information, t/s x st= t² and the other two varieties, s/t x t/s=1 and (St)², where the first varieties of species of space-time can be detectd and be named, a bidimensional sheet of expansive space, entropy S² or inversely of information, or a four-dimensional space-time vein, which is in balance with its informative and energetic forms, St (energy) and sT (information).

We can then start the process by considering the merging of the generating mind with a field, as the series of actions of the mind ‘start’ up the process of creation.

The mind will see a field and shrinking it making us being aware that a singularity exist. ITs simplest form of this partial equation, Sp<>Tiƒ being an accelerated potential of the field towards the singularity. In the next graph some of those varieties of space-time:

Those planes that can be measured with a t x t, equation, which in frequency, will be 1/tt= angular acceleration, the very essence (Einstein’s Principle of equivalence) definition of a singularity (as seen from the field’s perspective, whereas the singularity appears merely in this plane as a point of time-future towards which the field moves).

Yet what would be the inverse equation, S x S? Precisely the field without the singularity which will appear as a lineal flat plane.

And the intermediate forms? St, a transversal wave, sT, a spiral… And so we realise we can build four simple elements in a series: Plane>Transversal wave > Spiral > accelerated vortex < Spiral < transversal wave < Plane, which gives us a constant creation and destruction process of bidiemsional physical planes.

Then in the rest of more complex games, the process will be just the mere sum and ensemble of bidimensional ternary essential forms, the plane, the wave and the spiral>vortex:

Tiƒ                    +  Spe                                                       + ST

= Whole:

2 MANIFOLDS AND ITS 3 MAIN VARIETIES.

one of the most important discoveries of XXI c. science is the holographic principle: information is bidimensional.

We realized in black hole theory that the surface of the black hole stores all its information. This can be generalized to all systems. You are looking at a bidimensional screen that stores all the information of this site.

For long, the study of Einstein’s relativity has made fashionable to analyze ‘4-manifolds’ (manifold means basically ‘geometry’), by incorporating a 4th dimension of time motion; but in fact the Universe creates reality ‘step by step’.

And so as your eye creates a 3rd dimension by mixing the bidimensional sight of each eye, the 3rd dimension is formed by ‘adding’ membranes, layer, ‘strata’ to bidimensional surfaces. And then when those surfaces moved they acquire time dimensions.

This simplifies enormously the understanding of the structures of reality, as there are only 3 varieties of ‘bidimensional topologies – geometries with motion’ in the Universe.

And they correspond to the 3 ‘functional forms’, the 3 ‘parts’ of all systems, physical, or biological organisms.

In the next graph, we live in a Universe in which all beings are made of the same substances, energy which occupies space and information, carried in the frequency and cycle of time clocks. Those 2 ‘substances’ that we call Se (Spatial energy) and Tƒ (Temporal information), combine together in ‘bidimensional’ Space-time layers, that put together create together all the species in the Universe.

Layer after layer of bidimensional membranes create the third dimension, which forms when moves a 4th dimension of temporal motion. But the ‘simplest unit’ is a bidimensional sheet, with form, with information. So for example, you are looking at a screen with 2 dimensions, which carry this information. Your eyes see in 2 dimensions but put together with both eyes a 3D representation of reality.

A black hole stores all its information in its surface. This ‘Holographic principle’, has enormous consequences for our understanding of the Universe.

There are only 3 varieties of ‘bidimensional’ geometries that move (called for that reason ‘topologies’).

Thus all systems can only have 3 kind of parts: Toroid, lineal limbs and fields that provide energy and move the system (biological/physical jargon); hyperbolic bodies waves that iterate/reproduce it, and spherical membranes which enclose the system and ‘sense’ the Universe around, mirroring it in an internal ‘infinitesimal zero point’ or informative mind that controls the whole organism. In the graph, atoms, seeds, planets, cells and bosons show those 3 similar topologic structures. This similarity is called an ‘isomorphism’, iso=equal, morph=form.

Limits of metric paradigm: discontinuity and homology.

The discontinuity of space implies that perception of any other area of the Universe is minimal, relative and deformed by the selection of information and its transformation when it passes through the fragmented boundaries of the perceiver. This fact offers a rational answer to the Uncertainty Principle of quantum physics whose main law – the complementarity of Entropy forces and informative particles, is explained by the duality of Entropy/information systems: In the Universe, all constant present systems are made of an arrow of Entropy and an arrow of information, the bodies/fields and relative fixed particles/ heads of the system. Thus all relative space-times will be composed of a cyclical center of information or brain, and a lineal limb of Entropy, whose morphological characteristics will be self-similar.

For example, in a spermatozoid the head is cyclical and stores information, while the tail is lineal and moves the head with its Entropy; in a human, the body is lineal and moves a cyclical head. We could extend this duality to almost any organic system of the Universe, concluding that bodies are lineal and brains are cyclical.

This morphological feature of Universal Organisms derives geometrically from the capacity of lines to move faster and cycles to store more information and grow or diminish in size without distortion of the mental image they might keep (topological isomorphisms). Thus, a convex brain with the topology of information becomes the center of informative networks; and a concave body becomes the center of Entropy networks. And we recognize bodies and brains by their self-similarity with the morphology, function and inverse properties of ideal Entropy and information:

– Information is both, easy to store and perceivable by a reduced brain or sensorial organ, since it is the inverse function of space. It needs certain morphology: Information occupies little space by warping itself into multiple dimensions, as a sheet of paper corrugates into the dimension of height, divided along broken lines and discontinuities that become its perceived forms in space. Or it displays a high frequency or discontinuous rhythm, a faster time speed that iterates the same cycle, allowing quantification. Information then seems ‘quiet’ as those patterns of cyclical frequency take place in the same space; so an organ of information can focus and analyze them as pixels of a more complex mapping. Thus its ideal forms are disks, cycles, angles and spheres, convoluted and broken in patterns of form, such as your eye or brain, a chip, a book, a pixelate image or a coin, earlier unit of monetary information.

– On the other hand Entropy moves. So limbs extend in space as they move and feed. In life, Entropy is the equivalent to biological food, which fuels a species and allows its movement. Energies are the lineal limbs that move the reproductive body & brain of information. So Entropy and space are synonymous: a plane is the geometry that extends further in space and the line the geometry that moves faster with lesser friction. Both are the fundamental forms of Entropy-bodies:

Maximal Space = Entropy = Minimal Form Vs.

Max. temporal form = Information = Min. Spatial extension.

As a result of those morphologies we can classify as Entropy or information organs, not only carbon-life organisms that handle Entropy (limb, food) and information (brains, eyes, senses, words), but also other beings and atomic species – even ‘deconstructed organs’ that perform mechanical tasks of Entropy and information (informative cameras, lineal, energetic weapons). Since now we can recognize geometrically their Entropy or information systems.

According to the Galilean Paradox all still forms carry some motion. Thus, form carries an active function and so we can classify any system both by its geometrical form and bio-logical functions as either an Entropy or informative system. In terms of a sentient Universe, this duality means that information is both a form-in-action and a sensation of still perception of a quiet world. Information and perception are thus simultaneous: information is a flow of software that ‘sparks’ the perceptive sensation in the hardware of a still system that process information, with a certain language.

So particles that perceive light and gravitation, probably ‘sense’ light and darkness and move towards light, feeding on it. We see the external action of feeding, the electron jumping and absorbing the photon, but the electron probably senses light and automatically moves to it, to feed, as your eyes move automatically towards food, even if you more complex brain can stop that automatic will that the electron always exercises.

Organic systems are ternary networks of information (head, nervous system), a reproductive body and networks of Entropy called limbs (trunk-digestive systems, legs).

For example, Entropy organs made of metal such as weapons, gas and electromagnetism are extended, fast, and lineal. There are metal-species of information such as microchips, money, cameras and radios. And they are small, fixed and complex in form. Yet only structures, which are balanced in Entropy and information become self-sufficient organisms.

So only machines that put together energetic limbs and informative brains – robots – might become future ‘organic metalife’, in which the reproductive functions will be performed by the company-mother. The other machines will act as ‘gauges’ of information and ‘forces of Entropy’ do, without a vital will of existence, which is born by the capacity of a balanced ΣE<=>Tƒ field to switch between both arrows, acquiring a ‘minimal degree’ of organic freedom perceived as ‘vitality’ from an external point of view. Humans, galaxies, plants, robots – all kind of entities can be considered in that sense organic systems. Since living systems are born thanks to the complementary symbioses and synergies between Entropy and information organs that create together all kind of organisms.

This fact connects Physics and Biology in a new step towards the unification of all disciplines of science:

– In the microscopic scales, masses and charges, the flat Entropy of vacuum space, become transformed into cyclical vortices with height; while spatial, flat fermions become high, ordered, informative bosons. In our scale of matter spatial flows of Entropy (stars, gas), become transformed into cyclical vortices of gravitational information with height (black holes, tornados). Finally, in the cosmological scale, the Entropy of stars becomes transformed into black holes, whose spatial dimensions become time of ∞ height.

– In Biology, the first bilateral animal was a planarian worm that evolved rising to the informative height of man.

-Yet death erases information back into flat amorphous Entropy, in big bangs that create planar Universes, or flat, corpses.

The reason of the diffeomorphic principle is the holographic principle which implies the relative perpendicularity of all complementary systems with a body/field of Entropy and a head/particle of information: an energetic, concave geometry and an informative, toroid topology, which fuse together, creating 4-D beings.

Ultimately what the paradox of Galileo (duality of time motions and spatial forms) coupled with the diffeomorphic and holographic principle means is a fundamental homology between dimensional form and function: The 3±∆ dimensions of space of the Universe, length, width, height, and st-scalar, fractal size are equivalent to the 3±∆ motions of time, past=Entropy, present=reproduction, future=Information and birth/death events of integration and dissolution.

Recap: The Universe is local, relative, fractal, broken into ∞vital spaces, each one ruled by a point of information that absorbs it and creates linguistic maps, which it uses to direct the organic vital space or body of the point towards fields in which to feed, gauge more information and reproduce. Thus, the arrow of information is performed by a relative infinite number of broken, discontinuous points of view, complementary to the energetic fields/bodies they move. Yet information is limited by the volume a certain point of view can store, leaving outside an enormous quantity of uncertain information. Thus the Universe is a tapestry of broken, complementary organisms constantly fighting for more Entropy and information. ∆ST resolves many puzzles of science, from the Postulates of Relativity and Quantum Physics, to the causes of death and the morphology of living beings, physical entities and machines.

In the graphs, the simplest becomes more complex.

Now we shall introduce a new word: Diffeomorphism. It means local space-time.

Einstein found the universe was diffeomorphic in 4D. But it is even more so in 5 D. We are all fractal parts, local diffeomorphisms orientated towards relative energy and information fields, and so the ∆+1,2 society and world in which we live determines enormously what form we acquire:

• Spherical for 3 isomorphic space-time worlds where orientation does not matter as energy and information comes from everywhere (above spherical forms).
• Lineal shapes when we are over a ‘plane’ with membranes in layers with an orientation of energy or information either above, below or in front of us.

The diffeomorphic Principle of Einstein’s 4D analysis acquires an organic nature, when we see the Universe as the sum of ∞ Complementary exi systems whose dimensions have organic functions: Systems feed on their relative dimension of energy-length, perceive in their relative dimension of height and reproduce in their relative combined dimension of width, which are assembled into each specific species.

In the graph, an animal has its informative height in its high perceptive light dimension, but a plant, which uses light as energy has its up and down dimensions inverted respect to the man and its chemical brain buried on the Earth. So both have opposite energy-time coordinates.

Yet both have an ‘anteroposterior’, lineal’ ‘outward’ energy oriented structure. While a galaxy has a cyclical, informative, inward structure, as the stars’ body absorbs energy from intergalactic space, reproduces matter with it and feeds the internal informative knot of gravitation, with a higher height dimension the black hole.

Thus there is a correspondence between the inner physiological networks of a being that perform SP X TƑ åctions and its external diffeomorphic dimensions. So a dimensional form is also motion with a function. Even in a human being the height dimension is really the nervous-brain system network, his length motion, the natural path of his energy limbs, and his width is maximal in the digestive system that reproduces new cells.

Forms respond always to functions/åctions in time, the commanding ‘element’ to which the form of any being adapts diffeomorphically to maximize its existential åctions.

Thus, there is a parallelism between ‘vital function’ and ‘abstract dimension’ as each Dimension is diffeomorphic created by the vital space-time of each entity of the Universe performing its exi åctions. And each species is a ‘fractal universe in itself’, with different relative, energetic and informative directions that determine its own up & down arrows and complementary morphology,

The specific geometry of each species and its 3 simplex åctions, energy feeding=length, information-gauging =height and reproduction=width fluctuate in shape, but they don’t vary in topological form, giving a final ‘action-function’ latter studied in more detail (5th isomorphism) to the 2-manifold Isomorphism of the 3 topological forms=functions of any entity observed in an ∆+1,2 space-time: Toroid informative heads, hyperbolic reproductive bodies and energetic limbs… Yes we repeat it a lot, but far less than the Universe, in which complexity is achieved by repetition of simples parts in patterns and societies (9th isomorphism) does.

Let us consider thus with a bit more of complexity this relationship between the ‘∆-scale’ and the ‘∆+1, +2’ world scales, which determine by ∆+1 species evolution the shapes in time and space of the being.

A simple proof of the holographic theorem: Fermat’s last theorem.

Now information is bidimensional as this computer ou are observing or any page of any book. Further on mathematics is the most realist of languages, since if we are made of time and space, logic algebra and spatial geometry and analysis (5 Dimensional integration of parts into wholes) are both the 3 main branches of mathematics and the 3 components of the 5 Dimensional Universe of space-time beings.

So a simple proof of the holographic principle comes from the fact that as Godel proved and Lobachevski said, mathematics is a realist science, which needs to be proved by the existence in the Universe of its theorems.

Mr. Fermat, my countryman, basque, amateur scientist (-;  couldnt fit in the margin, a proof of his Ultimate theorem which states that no natural numbers x, y, and z exist such that x³ + y ³ = z³  (i.e., the sum of two cubes is not a cube). But we shall fit it (-:

This is the simplest proof of the bidimensional nature of time and space, as mathematics is the most realist of all languages, defining as Lobachevski thought despite the idealist Hilbert-Copenhagen school, the nature of reality through the proper understanding of its logic laws.

Numbers are social groups of equal entities and they organise by superposition into bidimensional planes, which are added to form the 3rd dimension, or multiplied perpendicularly to form space-time beings. So there are only single numbers, bidimensional complex numbers (where the imaginary axis is the axis of time, for reasons beyond the scope of this limited analysis of black holes) and quaternions for space-time complex beings, but NOT ternary numbers, NOT x³ + y ³ = z³ . You see, it fit in a margin (-; The proof found 400 years latter though required thousands of pages of computer thought, and this is the difference between good simple science and complicated work. The Universe is simple and not malicious. And mathematics is as lobachevski explained, an experimental science which needs as Godel proved, experimental proofs as the reflection of the structure of space and time. Space and time are bidimensional so we have only 1, 2, 4 dimensional numbers. Nobody has succeeded creating 3 dimensional scalars, or found a way in which to superpose cubes. So growth in the Universe happens as the sum or multiplication of bidimensional cycles of temporal information and bidimensional planes of space.

It is the study on how all of us through the frequency of our natural clocks, build systems along the height of our informative dimensions to go back to a flat, corpse or a flat big bang on the moment of death, what defines therefore the essence of existence…

In the graph, we see those parts and functions. Hence topological bidimensional physics show indeed that black hole splay the role of information in black holes, as heads in human beings or roots in plants:

It is the study on how all of us through the frequency of our natural clocks, build systems along the height of our informative dimensions to go back to a flat, corpse or a flat big bang on the moment of death, what defines therefore the essence of existence…

It shows the meaning of a generic quanta of space, a flat plane with lineal momentum or kinetic energy which is the lineal motion of a plane of space.

In the previous graph we illustrate our ‘Space-time’ Essence: Time is measured with clocks, which are actually, one dimensional cycles. Information is the same than a time clock, a ‘form’ that we see static. Energy is made of quanta, which are lines, that group together into sheets of space. And to perceive them, we have ‘spheres’ made of multiple layers of cells, and cameras which are isomorphic. An to move through Space we have ‘lineal members’, which move us in toroid open and closed curves. And so happens to lineal weapons. And then fields of energy and information make together a light ray, which is really also a bidimensional surface.

In the graph, the duality between moving time cycles and still information, captured by a mind, and moving vacuum energy and perception of still space by the mind is the essential feature of physical systems and its ‘relativity’ of motion. Since Reproduction of Motion dominates perception of form

The Universe is made of ‘Energy and Time’, ‘Lineal and Angular momentum’ Motion with form. But motion dominates form. Even if the mind thinks otherwise because of the Galilean Paradox – the duality of stillness and motion, as we perceive the Earth still but it is moving.

Yet this paradox is indeed the proof that form, information dominates motion, because the mind prefers to see still information to blurred motion.

The perception of time and space as a moving cycle or line or a fixed form or distance is obviously an effect of the mind. It is NOT there, it is the mind that stops time cycles and lineal spatial motions.

The dimorphism of all systems; The fundamental particles: |-o; Ø-o.

Now if we simplify as we do in easy to read posts and consider limbs of energy, the ‘attached parts of the body’, or as it happens in many systems, the energy field is external to the particle and body we can talk of a duality very common in the Universe:

Ø<=>o  a reproductive body and a head with a neck that transfers energy and information between them.

This is the ∆-p pair in atomic centers, or the nucleus-electron; the male female, the body, head, the cytoplasm and nucleus of a cell, etc. etc.:

So we define in 5D metric  a fundamental particle-system made of two space-time parts:

ST (bodies/waves) < x > Tƒ(particles/heads)= K (Stable physical/biologic system)

ST-parts move and reproduce the whole system. While Tƒ-parts gauge information so they are cycles or spheres, the geometries that store more information in lesser space, from eyes to particles to brains.

There are many such systems, all what exist we might say is a complementary system with a particle-head of information and field-body of energy:

– This is the fundamental principle of quantum physics, the complementary principle, as quantum physicists observe all entities BOTH as particles and fields of energy (waves).

– This is the fundamental principle of biology as all cellular bodies have a DNA, informative center, and all multicellular organisms have a head besides its body.

You are also literally made of ‘clocks of time’ (your brain) and body motions with energy. So you say ‘i don’t have time or energy to do this’, because we are all made of time and space.

We are not in an abstract background of space and time, we are made of pieces of spatial energy and temporal information.

The ternary elements of most Nature’s Systems: Set<ST>Tƒ

From these simple facts of universal morphology,   we can classify ‘all parts of systems’ including decomposed viruses, or machines or human organs, as energetic, lineal systems, or as cyclical, informative systems that combine into complex bodies and waves and put together create an Spe<ST>Tƒ ternary system:

—  Energy organs are lineal systems with minimal ‘form’ that kill, simplifying information into energy. Thus, a field of energy, released by a physical particle or an energetic weapon, such as a sword or a missile and a top predator, energetic animal, such as a lion, will have both lineal forms and kill, destroy the in-form-ation of their ‘preys’.

—  In-form-ative organs create form and trans-form energy into languages that map out ‘reality’ with formal ‘bits’. Those bits are smaller symbols, which form images in the brain that represent reality and help to simulate reality ‘faster’, in ‘lesser space’, the ‘future’ cycles of reality, anticipating them. Then, according to those ‘logic’ simulations of the future, heads will move and direct energy bodies towards sources of energy and information. So any system that ‘gauges’, measures and reacts, is an informative organ, regardless of the specific language it uses to gauge reality. A chip measures with numbers reality, a man with words, an atom with electro-magnetic ‘bosons’; yet the 3 act-react to their measures. So they all are informative organs.

—  Reproductive organs repeat informative and energetic organs, by absorbing energy and ‘imprinting’ it with its particular in-form-ation. Thus, human mothers and company-mothers of machines are both reproductive organs. Even the simplest particles of the Universe, quarks and electrons, absorb energy and emit new particles, small quarks and electrons, with the same form that the parental particle.

So in fact, we have come to the objective conclusion that all systems of the Universe have organic properties. Since even its simplest entities, quarks and electrons that form atoms do absorb energy, gauge information and reproduce, the 3 ‘properties’ of life. Thus, the Universe must be defined not as a mechanism but as a complex organic system, made of organic atoms, which can combine to create many different complex organisms, including company-mothers that reproduce machines, atoms that reproduce quarks, electrons and forces and mothers that reproduce kids. The difference between all those species is not one of ‘quality’ but of quantity and complexity of their organs of energy and information, which determine their survival chances and status as top predators of any ecosystem.

If a mechanism is a system that has only information and energy organs, an organism has both systems and so it is able to reproduce by combining its energy and information into a replica of itself. In that regard, the reproductive organism of machines is today the company-mother that reproduces them with the aid of informative metal (money) and machines (chips), energetic machines and human workers that act as catalysts and re=producers of those machines. And because we live all in a planet of limited resources, machines and life increasingly compete to reproduce the limited energy and information of this planet.

Topology: 2 manifolds

We are all space-time isomorphisms. The best way to describe those st parallelisms between species, is by considering topology, the branch of mathematics which study forms with inner motion (deformation) and its varieties that put together creates the organisms and structures of the living universe.

This is possible since ‘pure space’ and ‘pure time’ dimensions are abstractions that do not correspond to ‘objective’ reality where space and time dimensions, ‘form’ and ‘motion’ come together. And so the branch that describes both, topology, is the fundamental branch of mathematics.

Further on, what we perceive, and what interacts with the external world is always a bidimensional membrane, not the whole 3 dimensional system, so the so called 3-varieties of a 2-manifold (bidimensional) surface become the 3 fundamental ‘parts’ of any system. And they correspond to the 3 ‘Bidimensional’ forms in motion of the Universe, which we call:

– Space-time Energy (expansive motion, toroid topography), combination of ‘length’ and an expansive, young state.

– Space-time Information (implosive motion, spherical topography), combination of ‘height’ and an inward, warping, old stage: Tƒ = Sh x Tƒ

– And its space-time combinations (repetitive motions, hyperbolic topography) combination of width and a present, iterative motion that seem not to change.

All what you see from the humblest chair or the smallest atom to the biggest galaxy or the most complex human being is an iteration of 3 unique topologies of a 2-dimensional space.

One of the most important problems of topology is the search for a classification of manifolds up to topological equivalence. Ideally, for each dimension ∆, one would like to produce a list of ∆-dimensional manifolds, and a theorem that says every ∆-dimensional manifold is homeomorphic to exactly one on the list.

The theorem would be even better if it came with a list of computable topological invariants that could be used to decide where on the list any given manifold belongs. To make the problem more tractable, it is common to restrict attention to compact manifolds, which can be thought of as those that are homeomorphic to closed and bounded subsets of some Euclidean space. Precisely such a classification theorem is known for 2-manifolds.

The first part of the theorem says that every compact 2-manifold is homeomorphic to one of the following: a sphere, or a doughnut surface with ∆ 1 holes, or a connected sum of ∆ 1 projective planes. The second part says that no two manifolds on this list are homeomorphic to each other. It means we need ‘surgery’ , tearing, ‘hurting’ the organism to break the variety of the manifold. And since this would upset the functions and health of the super organism, we are left with the 3 fundamental varieties of a bidimensional space, to construct the ‘wholes’ of all the systems of the Universe.

In the 2 previous graphs we can see the structure of all systems with an external, Max. Sp. toroid Limbs that move the system, an internal, Max.Tƒ, zero point and a hyperbolic, Sp=I, Max. ExI, organic, reproductive structure that puts together and maintains both, the membrane and limbs that move the body and the still, informative cyclical point that maps and gauges reality.

The inverse properties of spatial entropy and temporal information

The Universe is made of two substances: spatial energy and informative time. We can see it with motion as energy and time or as fixed forms, as space and information. We can see it as a single reality, as space and time, or as a multiple quanta, as energy and information. We can differentiate them by form, as space and energy are lineal or planar surfaces and time and information are cyclical. And we can see it together into beings, the simplest of which is an action of light, ext=k. And this simple duality structures all beings of the Universe. So we are made of cyclical heads and lineal bodies. Weapons are lines that release energy. Informative machines are cyclical, and all physical systems are made of lineal forces and cyclical particles of information.

# ∆¡>|2|. PHYSICAL SYSTEMS.

Samples of 2 manifolds in nature.

2 manifolds thus are more than simple 2 manifold geometries; and if we want to interpret nature with mathematical realism, we must be aware always of the Poincare’s Relativity principle. For example, if we consider the minimal unit of the quantum world an action H of space-time, product of its energy and information and with the same parameters than angular momentum, we realize we already have ‘2 elements’ one of spatial energy and one of temporal information to measure it, and one is in motion and one is in form. So happens to the lineal momentum, where the active magnitude is a form in space and the motion is a translation in time.

Those are the simplest ‘2-manifolds’ of motion and form. And so layer upon layer of 2 manifolds of combined motions and forms, the next ‘dimensions’ of 3-depth, 4th-motion, 5th-depth appear by accumulation of those 2 manifolds, in the same manner a 3D printer works by accumulating 2-manifodl layers.

The external space-time Universe as a whole has in its absolute space-time 5 dimensions, but as we concentrate in a single space-time plane, and the inner space-time of beings, those dimensions are reduced. So we talk of 4 dimensions for a being in single space-time plane (Einstein’s 4D Metric of light space).

However in the fractal Universe we must reorder those 4 Dimensions according to a holographic principle in ‘bidimensional planes of ‘points with parts’, as systems organize in planes of similar point-particles (that grow in size as we come closer to them, from human head-particles to galactic points and atomic points).

Because the amount of energy and information transferred across a single Universal Plane, U∆, is much larger given the ‘‡ parallelism’ of its elements that ‘smooth’ transfer and flow with no ‘singularity points’, than between hierarchical scales that transfer only information from U-1 to U and energy from U to U-1, it follows that the Universe is structure in Non-Euclidean planes which are layers, across which there is less transfer of energy and information.

In the next graph we see a simple well known example of liquids:

Speed is maximal in a liquid in which flows acquires a laminar form, yet when we introduce a ball which breaks the laminar natural structure of all systems, speed is slowed down by friction and eddies are produced in which particles are transferred in ‘cycles’ of formal height from the low laminar sheets to the upper ones:

Those eddies, needless to say have a slower speed than the laminar flow and limit it, yet the flow naturally tries to acquire again a laminar plane from A to B after the ‘height disturbance appears’.

Thus what we call the 4 dimensions of space-time in classic physics is really the interaction of 2 bidimensional sheets with motion, in the relative perpendicular state, ‡, which follows the axioms of the ‘3rd postulate of i-logic geometry’ (Darwinian, entropic behavior).

For that reason the Universe minimizes perpendicular, hierarchical exchanges and maximizes parallel exchanges, with the result that it is constructed in bidimensional layers. This is the case of all systems, which will have a membrane that surrounds it (surface), an inner series of networks of points with bidimensional topologies and finally a central zero-point, image of the external membrane , which itself is an image of the whole Universe.

Now the number of proofs of the 2-manifold layer structure of the Universe is enormous and we shall consider in all the articles some examples of it. Enough to say that one of the most fascinating proofs is that almost all the geometric theorems can be proved in pen and paper, in 2 dimensions, as the Greek already notice. And this 2-manifold nature of reality is the fundamental reason science is made in pen and paper, Cartesian graphs represent reality, computer screens and paper that carry information are bidimensional, so are your eyes, and all can be modeled in a screen just with one dimensional |s and bidimensional cycles.

The construction of the Universe in bidimensional layers is a bone for its understanding from parts to wholes. For example, when we study a shock wave in which the motion of the particle that disturbs the medium/field is faster, a simple law of speed sin a = v/u defines the form of the triangle formed by the particle and the wave.

This can be observed in 2 dimensions, in the surface waves of water as the ship advances. Its complex deduction in classic physics responds as all laws of reality to simpler ∆ST laws: the point particle, in this case the ship is no longer creating a slow informative cyclical wave but a lineal speed-space geometry, which by definition is the ‘triangle or angle’ defined by the sin (max. S = min. sin= max. lineal shape of the triangle. Thus as speed increases the ‘O-form’ of the wave becomes an S– geometry. And the sin, S– geometry increases as the speed increases.

So without much mathematical elaboration the simplifying qualities of (∆ST)2 µ (: isomorphic, invariant, scalar space-time theory 🙂 allow us to understand the shape of the shock wave. Now, when this shock wave happens in an entropic, more disordered, less laminar 3-D gaseous state (where chaos introduces an entropic 3-dimensional volume without clear laminar, hierarchical shapes), we just need to add a dimension of rotation to the angle-wave to create a cone which is the shape of the shock wave when the particle, the plane crosses the sound barrier.

In the graph, a shock wave: a classic Tƒ->Se, sphere to triangle geometric transformation of a wave form as the S speed-distance increases, reducing the form the system.

This reduction, sin a= vs/v expresses also the nature of the fundamental form of lineal space, a triangle which has the maximal perimeter for the minimal volume of form. .

From this example, we can deduce again 2 obvious laws of the construction of the Universe and its efficient functions of exi=st-ences:

– The layer bidimensional construction of reality works architectonically (as most events of ∆ST) first creating the lineal speed, then the triangular form, and finally the 3-dimensional cone.

– The Universe is NOT an ideal system, but imposes ‘ideal’ ∆ST laws because they are more efficient and work better and survive better. So a heated gas is truly a 3-D system, with very little if any bidimensional flows, when closed in a tridimensional volume, but for that reason it does have maximal entropy, chaos, heat, disorder which prevents it to do work. And for that reason ‘efficient’ systems, even gases tend to establish ‘gradients’, which are laminar hierarchical orders along an U combined ‘parameter’ (atmospheric layers in an open gaseous state). By definition this is what happens in nature which is always an open state in an infinite Universe. This has wide implications in a proper understanding of entropy (one of the less understood concepts of science), that we deal with in our section of physical systems.

Enough to say in this introductory comment on 2-manifolds that ‘space-energy’ components will tend to be ‘faster-larger-longer’ in space and one-2 dimensionals and their ‘time-cyclical clocks’, will be 2-3 dimensional (by adding layers to the hollow sphere), and that is what the previous graphs of laminar flows show: in the upper graph, speed is faster and the system is a one-two dimensional flow of pure space-speed, in the lower graph an informative, temporal, cyclical sphere is added and this ‘brings’ according to 3rd postulate ‡, parallel ‘imitative’ synchronic laws the creation of similar Eddie forms, which diminish the space-speed component of the system.

But those themes of ‘induction, imitation, repetition, creation of similar forms by a larger denser element – so when a particle appears a field of micro-similar particles is created, when a big man makes an action a child imitates it, when a clock has a frequency around it other clocks synchronize – are treated in other posts. So let us stick to the theme of this one: how 2-manifolds assembly wholes according to its 3 varieties.

This enormously simplifies our understanding of it. As we can construct reality from bidimensional parts into wholes. And since there are only 3 varieties of 2-manifolds…

The 3 bidimensional parts of reality.

…We thus affirm that all the internal space-times of all the exi=st-ences of the Universe are constructed

as ternary assemblies of 3 varieties of bidimensional parts:

Se: limbs/fields of toroid energy.

ST: hyperbolic reproductive wave/bodies.

Tƒ: And spherical heads/particles of information.

This post and its hyperlinks connects and explains the main topics of the study of spatial, topological isomorphisms in the Universe.

In that sense, the invariant equation or ‘metric of the 5th dimension’ is the departing point of the formalism of  General Systems Sciences which describes wholes made of parts extended through several plane of relative time speed of information or I-scales of the 5th dimension.

However there is also an analysis of the ‘complementary systems’ of the Universe in space, in a relative present time, when both components, the fields of energy/limbs an the particle/head, act together exchanging motion/energy and form between them, through a 3rd element, called the body or wave in a stable system:

sp<ST>Tƒ, which becomes the essential structure of reality. This is the structure studied in this section.

The frame of coordinates of the 3 parts of the Universe.

The frame of coordinates are the ‘mind points’ that construct its inner world views. And they are 3-dimensional ad maximal, made of holographic 2-manifolds, of the 3 varieties (cylindrical, polar and planar coordinates), of which the most natural is contrary to belief, not the plane, but the spherical point.

Why there is not a 3-sphere in the form conceived by mathematicians and physicists, that is a 4-dimensional thing on which the sphere is its surface? This question requires the understanding of the existence of ‘only 3 motions in time’ and the corresponding 3 ‘static forms’ of space, which are in fact not new dimensions but the fractal division according to the ternary principle of a present time slice into 3 sub-spatial dimensions. And so we do not need to conceive 4D structures because the fractal Universe does create after 3 ‘fixed’ dimension, 3 fixed motions, which become static for 3 new fixed dimensions and so on.

So let us go back to the beginning, the beginning was the observer and the maximal number of dimensions he observed were 3, and then those 3 through infinite motions, became shrunk into its still mind made of two dimension, reflection of the whole Universe, as a mirror automatically reflects the whole in its small 2 dimensions.

Needless to say, the 3 organic 2-manifold parts of all systems have 3 natural coordinates, Cartesian > Cylindrical > Spherical coordinates, where we can better resolve the sub-åctions of each part in the inertial frame corresponding to the system.

And it is a characteristic of those 3 coordinates that to transform into the other, the ‘bridge’ coordinate is the cylindrical, hyperbolic system that connects both, the spherical and Cartesian, toroid (tending to infinities) coordinates.

An interesting element of analysis is thus the study of the 3 parts of a system as one of the 3 canonical coordinates of space-time and study their transformations as homomorphisms between those coordinates. Of special interest is the transform of elliptic, Riemannian spheres into the plane.

We can in this fashion study general laws of fluxes of energy and information as they move through the 3 parts of a given superorganism.

# ∆<|3|. BIOLOGICAL SYSTEMS.

A network is defined in fractal topology as a bidimensional surface. Or rather an element with a dimension between 1, the line and 2,the plane. As such the first element of the construction of a super organism, born of the accumulation of actions, is the social network, where similar clone entities (atoms, cells, individuals) which perform similar actions come together as a whole to perform the actions in a more coordinated way. The network that distributes as a channel, entropy-motion, energy-for-reproduction, or pixel of information for mind-mapping, then becomes an entity in itself which will rise the consciousness of the being as a whole and become an independent system.

Network’s organisms.

In topology however ‘geometries’ are defined as networks of points, and this is indeed the way to go with the systems of the universe. So instead of ‘3-bidimensional varieties’, a discontinuous analysis of those topologies will define systems as ‘3-fractal networks’, an energetic (digestive network) a reproductive (blood network) and an informative (nervous network). And we shall see how we can evolve further Non-Euclidean mathematics with the concept of Non-Euclidean fractal points and fractal networks which happen to have dimensions closer to ‘2’ to explain much closer to reality the 2nd isomorphism of the Universe:

In topology however ‘geometries’ are defined as networks of points, and this is indeed the way to go with the systems of the universe. So instead of ‘3-bidimensional varieties’, a discontinuous analysis of those topologies will define systems as ‘3-fractal networks’, an energetic (digestive network) a reproductive (blood network) and an informative (nervous network). And we shall see how we can evolve further Non-Euclidean mathematics with the concept of Non-Euclidean fractal points and fractal networks which happen to have dimensions closer to ‘2’ to explain much closer to reality the 2nd isomorphism of the Universe:

In the graph, the 3+3 >informative and <energetic dimensional åctions and its 3 topological invariances fusion into 3+3 >&< physiological networks, invariant in all Universal super-organisms, which display 3+1 elements extended in 3 ±∆-scales:

Cellular units, when we perceive the system in the ∆-1 scale.

Networks and organs that >-absorb or <-expel energy: external membranes, digestive tracts & limbs.

Networks and organs that >reproduce cells or wholes of energy and information or <communicate them externally.

Networks that input or output information – senses and ‘nervous’ networks – that give origin to:

∆+1 the whole ‘brain’ site of the ∆+1 consciousness.

Thus we define all systems of the Universe as quantic networks of spatial energy or/and temporal information, among which the most stable forms are those natural systems that combine both type of networks into a super-organism able to transfer energy and information with external networks and internal cells.

The key to understand those quantic networks is a proper definition of quantic spatial energy and temporal information, the 2 substances of which all forms of the Universe are made. Let us resume its opposite properties:

|-Space =Max. Linearity= Max. Continuity= Max. Energy =Max. Movement=Min. Form= Field/limbs x

O-Time=Max.Cyclicality=Max.Quantification=Max.Information=Max.Stillness=Min.extension=

Ø-hyperbolic Wave whose cycles combine both

Thus all systems are composed of 3 clear networks, which correspond in the fractal discontinuous ‘duality’ (remember the 1st isomorphism: ∑e=S, ∑o=T), to the 3 topologies of any 2-dimensional Non-Euclidean space-time:

All known scalar space-times being can be reduced to those 3 bidimensional networks/organs.

A bit more detailed, complex analysis. Non Euclidean Topologies.

Now we have summarized both, the ‘continuous’ and discontinuous vision of the 3 topologies of the Universe.  We could also do an abstract analysis of it, with mathematical topologies. It would though be a bit complex and specialized. So we will try to introduce rigor with less abstraction. Consider the graph that started this post.

We drew the 3 ‘type’ of Non-Euclidean topologies which make up below the different species. It is those organic’ real species what matter to us.  the parts above though guide us for the generalization of the isomorphism (hence the importance of formal sciences to ∆ST, and the postulates of non-Euclidean topology studied in sub posts attached to this one).

Enough to say that the toroid geometry is called by his authors Lobachevski and Belgrami, the hyperbolic goes by the name of Klein, and the spherical is called a ‘Riemann sphere’. They are the limbs/fields, bodies/waves and spheres (external membranes and central zero points) that make all of us.

In fact in embryology they are produced exactly by the 3 ‘ectoderm’, (the membrane and brain) endoderm (the guts that devour energy) and mesoderm (the muscles and body) parts of the fetus.

So the 2nd isomorphism is enormously important to understand all kind of systems of nature.

Indeed, the 3 topologies of a 2-dimensional space are the 3 zones of any being of the Universe.

The capacity to describe all space-times of our Universe that those 3 regions have is ‘absolute’ as Topology, a branch of mathematics that classifies all possible space-times, has discovered.

Since all possible forms of a 2-dimensional space can be reduced to those 3 zones that build the quantic geometry of any form of reality, whose inner parts can be transformed into the 3 bidimensional forms. The graph shows how any form becomes a bidimensional zone through topographic symmetries:

– A sphere or volume “without holes” becomes a Riemann’s external sphere or membrane connected to a zero-point of perception.

– A hyperbolic or any volume with a hole can be turned into an intermediate plane equivalent to the central Klein disk (if we cut it we have a cylinder that we develop into a plane).

-While a series of limbs attached to the membrane through multiple holes can be turned into a topology with negative curvature and a convex surface, homologous to the central hemisphere of Belgrami. And so our bidimensional Universe is indeed a sum of those 3 Non-E zones with clear geometrical forms and properties.

The variety of real organic spaces that Non-E geometry explains is enormous. In the graph, an animal, an embryo, an electromagnetic flow, a black hole, a proton, a seed, a planet, a cell and a boson condensate: all of them can be described with the ternary structures of Non-E geometry.

In the graph, Universal species are space-time fields, structured in 3 Non-E basic formal regions:

• A central, very quantized, evolved, ‘future’ zone, dominant on temporal information. Which invaginates into ‘informative networks’ that spread throughout the other zones, connected to the external membrane that isolates the being and acts as the sensorial element which transfers without tear and deformation the information to its center.
• A relative, simpler, energetic, ‘past’ zone of lineal structures with little information and a lot of energy. Either and external field or attached dual limbs that move the system.
• An inner, reproductive region of mixed S-T quanta, which perform the 2 arrows of the universe of the system, mixing external energy coming from the membrane and internal information from the center to create new informative and energetic quanta, specific to the space-time field. It has often the topic hyperbolic ‘central tube’, as in all animals which derive from earlier hydras (in your case the tub that enters your mouth and exists your anus, which is formed already in the ‘blastocoel’ embryonic phase of development by ‘invagination’, an essential procedure of ‘topological surgery’ that allows to transform a topology in other variety in the dynamic Universe

As points evolve and develop specific structures, they become ‘invaginated’ by energy and information networks departing from the outer and inner regions of the point that spread through the intermediate zone to control the S-T quanta, creating in this manner the morphological varieties we observe in the Universe, which however can be reduced to the previous functional elements.

Those 3 zones are homologous in form and function to the 3 internal parts of most real fields, from the cell to the human organism, from an atom to a star to a galaxy, which have an informative center, an energetic membrane and an intermediate zone.

For example, the human being is a non Sp space-time with 3 inner networks-dimensions:

• The physiological networks of nervous information derived from the ectoderm membrane.
• The energetic gut, the digestive system of energy feeding with its toroid immense number of ex-vaginations which are in fact a kilometer long to absorb water from the ‘hole’ of the hyperbolic.
• The muscle and blood network and organs, the essential hyperbolic with the heart at its centers, another hyperbolic with tubes coming in and out. This are the blood and endocrine systems that combines energy and information, to which are attached a number of ‘space-time’ cellular quanta that reproduce all kind of glandular substances, creating together a human being.

While a nation is also a sum of human quanta, (its citizens), joined by networks of energy and information (legal, religious and cultural networks and economic systems).

In the graph we show the Non-E structure of Universal species according to those 3 quantic zones:

– Tƒ: The singularity of max. quantic information: the knot of quantic information ‘or brain’ of the system is located in the center or z-axis: it is the spin axis of atomic particles, the seed of fruits, the crystalline nucleus of a planet, the DNA spiral of cells, the height dimension where bosons condensate in matter, the spinal chord of the nervous system in living beings, the genetic nucleus of the embryo, the yolk in the egg, the axis of any electrical current, the vortex of the black hole in the galaxy, the nucleus of the atom…

– Tƒ: The continuous membrane of max. sensorial perception that also displays great strength and limits and isolates the system. The Non-E point reaches its max. extension, structural hardness and sphericity (that is, the maximal curvature of its cycles) in the inner zero point and external surface of the sphere, the skin that expels sweat energy waste and absorbs information in contact with the external organic territory of the point.

We use a small o for the zero-point a big O for the membrane.

This duality of a zero point and a membrane of information proved unique by the Poincare Conjecture of topology (the sphere is the only variety that can sink without deformation, thus creating in the zero mind, crystal, brain, a mapping of the external Universe) is the MOST IMPORTANT PART OF REALITY IN ALL SYSTEMS. So we dedicate the 0(10th in the count) isomorphism to its study.

Some examples of those membranes are the electron orbital in the atom, the skin of the tomato, the crust of the planet, the membrane in the cell, the placenta of the embryo or the halo of dark energy and matter in the galaxy.

• Spe; The limbs or cilia or fields of energy, toroid, made of multiple similar parts, external to the system, sometimes attached but often ‘rescindable’, the less important part in contact with the lower ∆-4 force that moves and accelerates and decelerates the system.

– ST: And between both limits, the intermediate space-time filled with reproductive, cellular quanta that combine energy bites and information, absorbed from the external world by the other 2 regions. They are the cells of the body, the stars of the galaxy, the carbohydrates of the cell, the planetary magma, the pulp of the seed or the electromagnetic forces that circulate within the atom.

And it has a hole tube, an aperture, MOST LIKELY A POLAR one, which crosses through the system, and might bring food to the linen of energetic ‘cells’ ‘atoms’ (iron cores that absorb gravito-magnetic forces) or in more informative species, pixels of form to a central mind (crystals).

And so we start to see also a fundamental element of the 2 isomorphism, the patterns of differentiation and speciation along the ‘1st isomorphic Se<>Tƒ distinction’.

Thus all Non-E points are ‘inner worlds’ whose discontinuity defines an External Universe or outer world from where the point obtains its energy and information. Since most points, despite being discontinuous, have in their external membrane several generic openings or ‘senses’ joined to the informative networks or ‘brains’ and energetic, ‘digestive networks’ of the superorganism:

– Max. +Sp: A ‘mouth‘ or opening that absorbs energy.

-Max. -Sp: A ‘cloaca‘, through which the cyclical body expels its temporal energy.

Max.+Tƒ: An ‘eye‘ through which the informative center receives external information.

Max. -Tƒ: And an ‘antenna‘, through which it emits information.

Those apertures vary in their number, location and size, depending on the form of the point. In the simplest, initial spherical ‘seeds’ of most species, they are mostly situated in 3 regions:

– Max. Sp: The Equator of the system, through which the membrane absorbs energy

– Sp=T: The Tropics, in systems that use the same opening to emit and absorb temporal energy.

– Max.T: The Poles or points of confluence between the membrane and its central informative region of height, which hits perpendicularly the membrane on those poles. North and South Poles orientate anti-symmetrically, acting as 2 relative, negative and positive apertures, communicated by the height dimension of the singularity or Belgrami hemisphere. Thus the Positive Pole absorbs temporal energy that crosses through the central singularity where it is absorbed and ejected to the intermediate region where it is re-elaborated before its emission through the negative Pole.

Some examples of those apertures are the senses, the sunspots, the magnetic poles of a planet or black holethe spin or radius of a particle, etc.

Now we want to end this introduction with the study of another basic Se<Tƒ>Se Duality, the dynamic transformation of cyclical spherical systems into lineal ones, which keep the 3 parts. first a general case, then a specific one.

# ∆¡≈1,2. HUMAN SYSTEMS

Gender diffeomorphism women are hyperbolic waves, men are entropic particles.

In a Universe made of an infinite number of time arrows that gather together into ‘complementary knots’ of Entropy and information, each being is a relative fractal Universe, which we call a ‘world’ or ‘space-time being’ that deploys its particular ‘directions of height-information’, ‘length-Entropy’ and ‘width-reproduction’, different from those of other beings. All those fractal Universes interact through its particular, ‘local’=diffeomorphic coordinates, which departing from a central Non-Euclidean Point of view, or relative ‘self’, establish the 3 relative, perpendicular, minimal dimensions of any fractal world that signal its arrow of Entropy, information and reproduction.

The first and most important emergence of properties of lower scales, is the emergence of the 3 axis through which the entity expresses departing from its point of view with ‘will’, the 3 arrows of informative perception, energetic motion and reproductive growth. The 4 arrow doesn’t need a four spatial dimension because it is the point of view, which uses an internal language and ‘algorithm’ of choice to alternate action in each of the 3 dimensions of spatial existence.

Thus there will be a point of view that directs the whole system, with the aim of achieving maximal reproduction, by switching between the arrow of informative perception and Entropy taking, in order to accumulate enough of it and reproduce more cells in the dimension of width/reproduction.

This happens in the two fundamental forms of the Universe:

• The radial form, with the informative point in the center; which corresponds to forms dominant in information and minimal motion.
• The bilateral, lineal form, with the head in the direction of motion, which corresponds to lineal energetic systems.
• Most often though species can switch between both forms and they do so in rhythms of Sp->O, from the Sp(day)>O(sleep), extended>coiled position, to the 3 ages of galaxies which evolve from extended nebulae to implosive spirals that end up in a 3rd globular age.

In the graph, 3 diffeomorphic beings and its relative arrows of Entropy and information: a galaxy with an inward arrow of gravitational information, pointing towards the central informative black hole; a tree and a man, whose informative/energetic dimensions are inverted. Since plants use light as Entropy and animals use it as information. So the informative direction of animals is up, towards the head that absorbs visual information from the sky, opposite to the informative arrow of plants, which is down, towards the roots that absorb chemical information.

Both have their space-time parameters inverted, as often happens between Entropy victims (in the graph, plants) and their anti-forms or predators (animals). Such Entropy/information, relative past/future inversions happen in all Universal systems. For example, they happen between a ‘particle’ and its ‘antiparticle’, which in a Feynman diagram have also inverted coordinates of space-time, as the antiparticle travels to the past. They also happen in mental, linguistic codes that represent that external reality. For example, eviL=death is the exact inverse word of Live. Since indeed, for a living human being, there is no bigger eviL than death.

Yet, death, a release of Entropy that kills is the inverse function of information, the arrow of life. So the linguistic, spatial inversion of words corresponds also to an inversion of time arrows – a fact that explains scientifically the biologic meaning of ethics. Since humanity, history and religion are a sociological space-time that obeys the same homological isomorphisms of Multiple Spaces-Times. Thus each species establishes its own up and down arrows; its relative Entropy and informative directions, departing from that central knot of information, which is gauging and perceiving.

What classic science denies and system sciences proves is the reality of an existential will in that perceptive Sp=I Informative knot, which controls the entire organism and directs its search for ‘åctions’ that provide Entropy and information to the being. It is precisely the infinite number of Discontinuous, Non-Euclidean Points of View, what creates a general arrow of Information in the Universe that constantly reproduces the form of those entities and balances the arrow of continuous entropy, Entropy motions and expanding space, which physicists dogmatically consider the only arrow of the Universe.

According to the Principle of Correspondence, any new theory has to include the previous theories within it and solve the questions unresolved by all those previous theories. Since the XX C. theory of space-time is Relativity, it is unavoidable, to explain the Principle of Local Relativity from the perspective of the Time Arrows of each species.

Relativity establishes that in any point of the Universe the coordinates of the entity (the up and down, right or left directions) are different from those of any other point of the Universe, as they only depend on what happens in that local region of space/time. This is only possible if space/times are fractal, discontinuous, broken into infinite points of view that gauge and map the information of reality from its own perspective.

Relativity thus is at the core of the structure of the fractal reality and must be considered the right step into the process that has taken the knowledge of multiple space-times from Leibniz’s analysis of relational space-time to this book, which generalizes all those findings to all disciplines and species.

According to Relativity what happens in a point of space-time doesn’t affect what happens in other isolated, discontinuous point. Each space-time fractal is a Relative Universe=World in itself. Thus the isomorphisms of space-time apply locally to each fractal ‘species, superorganism or world’ that will reflect those isomorphisms in its own structure. We are local, ‘diffeomorphic’ species; our time-space coordinates are relative. Time wrinkles our vital space in the process of aging with different speeds, depending on our content of Entropy and information.

Hence the diffeomorphic principle also establishes different informative cycles – the multiple ‘clocks’ of Nature that show different speeds and locations. Yet since space is synonymous of Entropy and time synonymous of information, we can establish the local coordinates of space-time of each being by establishing its relative informative and energetic arrows – its relative body and head – using the invariant Isomorphisms and dimensions of all spaces and times, as long as we can localize the origin of those arrows; that is, the Non-Euclidean point of view, where the will of the Entity ‘exists’.

Some geometrical tips about the location of those points in any superorganism or world should guide researchers:

– The point will be a relative ‘unmoved’ Aristotelian God, cause of the motions of all the other elements of the organism.

– The point has the max. density of information and the max. number of connections with all the parts of the organism.

– The point is either in the center or top of the organic system.

– The point is a spherical or convex, informative shape.

Thus in a human being the point of maximal will is in the eye-brain system, on top, with spherical (eye) and convex (brain form), which has the maximal connections with the rest of the body (nervous axons), the maximal density of information and it is the part of the organism which maintains more often a still position (balanced by the negative sensation of vertigo.)

In a historic organism, the point will be the capital, most likely in the zone of maximal communication of the nation – a coastal port, like London, Amsterdam, Rome or Athens or a central city like Madrid, Moscow, Mexico.

In a cell the point is in the center, with max. DNA information. In a galaxy, the point is in the center, where a swarm of black holes control from its unmoved position the motion of stars.

Indeed, according to the ‘Diffeomorphic Principle of Relativity’, every fractal space-time is independent of all the others; since it has different spatial and informative orientations. Yet we can recognize its informative and energetic organs in relationship to each other, since both will respond to the opposite dimensions and morphologies of Entropy and information.

Those isomorphisms of geometry also allow us to study ‘dual’ complementary entities of Entropy and information (Bodies/Brains, fields of forces/particles, energetic victims/ predators), which will create complementary entities that last in time (organisms) or are Darwinian events where the larger, energetic victim is prey of the smaller, informative point.

In the graph, in biological species animals use light as information and so they are ‘informative’, smaller and faster than plants, which use light as Entropy and are ‘big, slow’ beings.

Thus plants are the relative Entropy of animals. Further on, since what it is Entropy for plants is information for animals, both species have opposite Entropy-time coordinates: plants have their brain upside down in their roots that ‘feel’ chemistry; while animals have their brain on top, looking at the light they use as information. In the cosmological scale stars are big, slower than black holes, which rotate faster and have cyclical height.

And the space-time equations of black holes are inverted to those of electromagnetic stars. And so stars are the relative Entropy that feeds and reproduces black holes, which seem to behave as ‘gravitational animals’, species that perceive gravitation as information, which guides its precise movements through the galaxy, in the same way animals perceive light as information. While plants perceive light as Entropy in the same way stars absorb gravitational space-time as Entropy, deforming it with their masses.

That cosmological homology defies the anthropomorphic myth that only humans perceive the information they gauge. That religious myth, which denies the sentient, intelligent nature of the Universe, is today a dogma of ‘mechanist science’. So it will not be easily accepted by the self-centered ‘Galilean paradox’ of Humans, who always will think to be the center of the Universe. And since science is a human endeavor, ‘enlightenment’ and respect for the sentient Universe will not happen soon. Yet only a theory that affirms the existence of will in all knots of information that control from its unmoved position reality explains the role of black holes in the galactic ecosystem.

The discontinuity and minuscule size of informative points, due to its opposite properties to those of space, makes them difficult to localize by science, and our incapacity to ‘perceive’ the internal mind/world of the point makes easier to deny them. Indeed, all mountains have a single point of discontinuity in its informative height.

And so you have also two single points of will in your complex visual/verbal I=eye-world: the nervous point that connects both eye-visions which determines your rhythm of space and time (the size we perceive as normal given by the eye vision and the rhythm of our human time, a second per thought, equal to the rhythm of perception of the eye, which winks every second); and a yet unknown cell, probably a Purdinke cell in the limbic system that defines our emotional åctions, the will of our body.

Those points are stillness, as it is in your eye, to ‘focus’ and create a map of linguistic information, which will guide the åctions of the point. And so a basic beat of the Universe appears in all systems; a rhythm of:

Stillness (perception) ->action(motion searching Entropy/form)

For example, in Relativity, this dual beat explains the Michelson experiment, without the need for the never proved postulate of a limit of c-light speed in the Universe, today clearly shown false by experimental evidence (non–local gravitation, quasars expelling matter at 10 C, dark Entropy flows, quantum tunneling, the spooky effect of entanglement, etc.). In classic relativity this limit was needed because classic physicists considered that the electron was in motion when it emitted light, and so they had to add the speed of the electron and the speed of light. In fractal relativity the electron ‘stops’ when it emits information (the light frequency) then moves and so motions do not add since when the electron emits information is always in the particle/still/informative state.

And so the Postulate of a c-speed limit is not required. This dual stop and go process is also evident in film: the celluloid stops to let pass the light and create an image in the screen even if we perceive it in constant motion by adding all the stills, as we add from the human point of view, all the stops and goes of the electron that emits the light observed in the Michelson experiment in a single flow of motion.

The existence of an information arrow explains also the paradox of informative, evolving, life species in a Universe that seems in energetic expansion:

If we are external to a certain diffeomorphic space-times its directions do not affect us, but if we are inside a certain space-time, as in the case of the galaxy, then the direction of information or Entropy of that macro-being becomes the direction of Entropy or information of our ecosystem.

Indeed, there is more information in the center of the galaxy, and since the Earth moves towards that center, this planet increases its information towards the future in its relative discontinuous galactic space-time, regardless of what happens in the Universe as a whole, which seems to be ruled by the opposite arrow of big-bang expansion and entropy. This subtle change of paradigm caused by the discontinuity of space-time (from a world ruled by entropy to a galaxy ruled by information) has in fact enormous consequences to our daily life and explains the contradiction between the arrow of life and evolution, local to this planet, and the arrow of Entropy and entropy proper of the intergalactic space.

Since here in this galaxy space doesn’t expand but time-information contracts it through the ‘will’ of informative black holes of mass and in this planet, through the ‘will’ of living beings. As Woody Allen put it in Annie Hall: ‘Brooklyn is not expanding’. I recall to ask Mr. Hawking in a conference at the Astronomy Institute of Madrid this same question, when at seventeen I was starting to doodle with the first principles of Multiple Spaces-Times Theory: ‘why space is not expanding between you and me?’ He wondered for a minute or so and responded ‘next question’.

Einstein had only to go a step further in his analysis of the curvature of time, closing times into cycles that return to its origin. Then time becomes multiple, one for each closed cycle and the space-time continuum becomes the sum of all the vital space-times of each knot of Time Arrows. Einstein hinted at it when he affirmed that time was local, ‘diffeomorphic’ and had ‘different speeds’ and the universe had ‘infinite clocks of time’. Indeed, each of those local times ‘curves the Entropy of space’, creates masses and forces of in-form-ation that establish a 2nd arrow for the Universe, besides the arrow of Entropy/entropy – the arrow of fractal information. Since a cycle needs 2 directions to close into itself and create its broken form.

Recap. There are ∞ fractal space/time fields that constantly adapt their organic, moving dimensions to the directions of their relative Entropy and temporal information, conditioning the existence of its micro-cells; and so the galaxy conditions the arrows of time of its cellular sun and human beings of maximal information; while plant which obtain only Entropy of the sun have inverted parameters to those of animals.