# ƒractål ûnïver§es : its ∞ ∆•st

‘The smallest point is a world in in itself: •≈û’

Leibniz, on the fundamental particle of Reality: The fr@ctal •point=ûniverse of space-time.

‘D•st of space time you are dûst you will become’

‘D•st of space-time you are”

The structure of the Universe is similar to a fractal, which repeats the same ‘actions of space-time’, of ‘exchange of energy and information’, along multiple scales of reality, between beings, which are always put internally in relationship to its inner micro-cellular ∆-1 scale and its ∆+1, external world.

So all beings are absolutely relative in the sense that their minds are ‘gods’ of the internal social world-Universe, û, they rule, and its micro-cells totally depend on the conjunction of the internal mind, Tiƒ, and the sensorial membrane that surrounds the body-wave and together seem to form the ‘being in itself’ to an external observer, which will only perceive the energy of the membrane and the motions of the mind-particle. On the other hand the being ordered in a larger external field as part of a larger network will be insignificant, running its inner actions knowing likely nothing of the whole and the purpose it has for the higher super organism of which he is a mere fractal point, atom, cell or citizen: •

Absolute relativity of existence is shown in 2 paradoxical ways to express what all systems are:

*∆st• ≈ ∆ûst.*

In the first equation the perspective is that of the infinitesimal mind a nothingness, a micro-point that ’emerges’ in a much larger world and an infinite Universe of which it merely absorbs a tiny fraction of its total information .

Yet as it does not sees anything else, the mind sees itself as a Universe of spacetime, as ∆ û st…

So it encircles and perceives itself as a space-time organism under its domain, co-existing in several ∆scales. In the second equation the same being, *seen from inside seems an island universe, û, emerging as the relative mind God of all the territory you order.*

The overwhelming importance of scale is then shown and understood since Shakespeare put it in verse, kings and buffoons we walk as fractal super organisms of some 1 trillion ambulatory cells. In the graph above, one of the first self-generating fractals, Cantor’s dust of space (white regions) and time (black lines).

But ultimately the more objective reality makes you bite the dust, and ∆st• you become again.

So how do you become from fractal dust, an organic topology? How dust r=evolves in parallel cycles, organising itself into a system that will enact its actions of existence maximising its energy and information, reproducing and finally evolving socially with other beings, till its excess of information collapses? It is rather simple and self-repetitive and all starts in a zero fractal point or mind that perceives the Universe. The many ways in which we can observe that process gives us the richness of the World as we see it, but if we want to build a causal process we must always start with the mind, which in a rather passive state, as the center of a 5¬Æ flow of bits and bites of information and energy will start to map out reality as a mirror-monad of the whole.

**Absolute relativity: 0-minds in ∞ universes**

*0-Minds-Souls: All systems have a central or upper knot – a zero point – that processes information and perceives a ‘still’, pixelled map of reality constructed as a reflection of the external universe – a mind.*

*In the graph, in the old paradigm of single space-time, there is only a point of view, the anthropomorphic point of view, and a language and frame of reference, the Cartesian frame. In the new paradigm, each knot of cycles of energy and information creates its own frame of reference and coordinates, ‘literally’ as it evolves its organism along an up (information) down (energy) axis, an anteroposterior axis, (direction of motion as it performs its ‘cyclical actions’), and a width axis of reproduction and cellular storage. *

*Further on, besides its 3 relative, ‘diffeomorphic’ coordinates, each organic system will have a perception based in a language, which might not be the language of man, as each species codes and maps reality with bits of a different type of wave. All this is formalized with a new mathematical model, based in the new discoveries of fractal non-Euclidean geometry, developed by the author that complete the work of Riemann on the subject.*

In the graph, the first act of a mind is to perceive and as such it will try to maintain its perception in order by projecting its order into the world, so once the being perceives as a mind, it enacts conservative actions to allow it to keep perceiving. And so the mere existence of linguistic mind-mapping makes necessary the creation of a fractal, territorial order around each of those mind-points. So the mind if it can ‘move’, it will use ‘its energy’, to remain ‘a focused mirror’; since as long as they perceive, they will subtly mirror what they ‘perceive’ as both the right universe and their own mind, and feel ‘entitled’ to ‘evolve’ from dust into ∆ûST.

This same concept applies to social groups of points, which will become parts of larger social wholes naturally as network are more efficient than individuals. So while the will to run through the steps of topological evolution needed to emerge into a higher ∆+1 scale of the 5th dimension is bio-logical, responding to the strategies of association and survival that ensure the system to continue, the procedure is topological and can be described departing from the rules that ensemble point into waves and bio-topo-logical planes.

It is this merging of geometry and biology what has always been underlying phenomena of evolution but are hardly recognised by both disciplines.

Points with parts are knots of time cycles that gather into networks. The most important point of any network is the point which communicates all other points and networks, taking the key decision of any super-organism: which action performs at each moment. That point, is therefore the point that possesses the will of the whole organism.

In the graph, because a Cartesian graph (left) is an abstract continuum of lineal time, based in the single rhythm of a mechanical clock and a continuous space of points with no ‘breath’ (Euclidean definition of a point), ever since it became the canonical representation of space-time science has believed in a single, absolute time and a single absolute space, with a single point of view, that of the human mind in the origin of coordinates. Yet the Cartesian plane only represents the continuous space-time of ‘the membrane of light’ it represents with its 3 perpendicular coordinates, equivalent to the height=electric field, width=magnetic field and length=wave speed of light. Since *light is the space we see and so its 3 coordinates are self-similar to those of the Cartesian, human mind made with light*.

The real Universe has ∞ points of view that gauge information in ∞scales of space-time. Those points of view by definition have volume to fit ∞ parallels – flows of energy and information that go through them. Each of those parallels is in fact a cyclical, curved trajectory (Einstein’s definition of a parallel); and so we can consider each Non-Euclidean point of view a knot of time cycles with form and motion.

The new 5 postulates of a Non-Euclidean, fractal geometry of Multiple Spaces and Times are:

1^{st} Postulate:* ‘A fractal point is a world with an inner content of information that creates its 3 internal, topologic, organic dimensions and a content of energy that traces its external motions=time arrows’*

2^{nd} Postulate:* ‘A line is a wave of fractal points.’*

3^{rd} Postulate*: ‘2 fractal points are self-similar when their external, spatial perimeter or their inner information is equal. Similar points form organic networks by sharing their energy and information. Dissimilar points ab=use each other in Darwinian relationships’*

4^{th} Postulate:* ‘A plane is a network that joins points through waves of energy and information.’*

5^{th} Postulate:* ‘**Non-Euclidean points perceive energy and information: A fractal point has inner apertures to the world, through which multiple waves of energy and information can cross.’*

The first postulate defines a point with form and energy. Points are not ‘points with no breath’ (Euclid), an abstract definition that created the simplified concept of a space-time continuum but ‘fractal points’, which grow in size when we come closer to them. And so stars are points in the sky that become huge as we come closer to them. And a microscope discovers an entire world in the minimal size of a cell. Einstein offered a partial solution to this conundrum considering that from our scale of size, those Non-E points seem to curve the information of the universe that fluxed on it.

But Leibniz had given a better answer: ‘the smallest point is a world in itself’. This is the meaning of a fractal point, whose internal parts respond to the 3 topologies of a 4-dimensional Universe: a hyperbolic, informative system; an energetic, planar or spherical membrane and a cyclical, toroidal region with reproductive organs. *And we shall find those 3 topological regions in all points-species of the Universe.*

It is now clear that non-Euclidean points are points of view that gauge information and move their complementary body with a will, seeking for more energy and information and reproduction, seeking for an organic will to repeat their cycles and motions. And this will gives the point the category of mind, or Atman or soul, a perceptive point of view that absorbs information and moves its body accordingly after ‘thinking’ the information and ‘bending’ it subjectively to its will.

That we have no free will but we have will is the deepest consequence of stating that all points of view search for its 3+1 dimensions of existence, its energy, informative, reproductive and social arrows.

To do so the point must perceive and gauge. If it is an electron it will gauge and move to capture energy to structure its form (2^{nd} quantum number) and it will use a language of information to evolve socially (magnetic number). Points thus are moved by the need to perform their 4 cycles of existence, a desire to acquire more energy and form which they better achieve in networks, with the flexibility of herd hunting and network thinking. But in each scale of reality there is a rational point of view calculating its strategies to get more energy and form.

Networks are made of relative points with form and motion, which can be defined as time cycles – trajectories traced by an entity in search of energy, information, reproduction or social interaction. Those time cycles enclose a surface of vital space or energy and so they define a certain space-time. Any entity will however trace many cycles in search of its organic motions to feed, gauge, reproduce and evolve socially into bigger networks.

So each entity will be a knot of multiple time cycles.In the formalism of Systems sciences we call them Non-Euclidean points, since they are points through which infinite flows of energy (parallels) and information can cross. We also represent them with the symbol ‘i’, which is the next vowel to the A-ristotelian, E-uclidean paradigm, the symbol of information and a visual image of the 2 components of the point, the informative, cyclical part, o, and the lineal, energetic one, |, which we call the body and head of a biological Point; or the field and particle of a physical point (Principle of Complementarity).

The universe is made of networks of such i-points, and each network is what we call a world or discontinuous space-time, st, unit of a bigger fractal network, a new st-point in itself. So a network of particles becomes an atom, which becomes an st-point of a molecule and so on till creating the Universe.

Even humans can be studied as Non-E points, in which each head is indeed a spherical point that communicates energy and information with other humans, forming social networks.

The anthropomorphic reader might think that humans are different from the rest of points of the Universe, but it is a fact that all points obey in their actions and communicative flows within a network the same laws: humans and electrons behave the same when they move through slits or in herds; the geometries of social groups are also the same; and the ultimate purpose of those points, to feed on energy and information, whatever kind, is also the same in all networks of the Universe. Thus the laws of networks become the social, organic, reproductive why of all beings of the Universe: the Universe reproduces information and organize forms socially into networks.

From magnetic and electric fields, made of magnetic and electric constants that mix and reproduce a light wave to fundamental particles, quarks and electrons that absorb energy and reproduce new quarks and electrons, to energetic males and informative females that reproduce together, all in the Universe can be described with the formalism of networks, connects the why with how and when of the 3^{rd} paradigm of metric measure that has analyzed those networks, its motions and forms in detail. Why those i-points with an ego-driven will that desires selfishly more energy and information and self-reproduction collaborate in herds, becoming parts of a whole has to do with the complexity by which the arrow of social evolution impose systems to its parts. Parts become enslaved by their dependency to the higher energy and information provided by networks.

*5th postulate: Paradox of Galileo – definition of ego-soul: fractal P.O.V.*

All minds, including man, are self-centered beings that believe to be the center of creation, because they gauge information from its point of view. Yet most of reality either exists in a dark space the species doesn’t perceive or uses a language the species doesn’t decode or it is further away from our ‘noses’ to be of any importance to us. This explains anthropomorphism and the incapacity of man to perceive himself as just another knot of simplex and complex actions of energy and time.

The laws of those Points of view that gauge information, are Laws of Non-Euclidean geometries. The formalism of General Systems Sciences, which studies networks of points of view is therefore Non-Euclidean. Regarding its Logic structure, past, present and future become relative concepts and so the ‘logic’ of the Universe in which past, present and future co-exist in simultaneous space-time fields, is different, is paradoxical, dual… Its formalism can be fusioned with that of Non-Euclidean geometry in what we call illogic geometry, the linguistic foundations of all General systems.

*The paradox of the ego: linguistic points of view.*

Perception is possible because of the mentioned paradox of Galileo: all is motion, and so informations are cycles of time with curved motions and energy-space are sheets of lineal motion. And so because all is motion, the repetition of those motions is in fact a simple reproduction that takes place in simple atomic particles (with cyclical vortex of motion) or lineal fields of energy (with wave-like motions).

The paradox of Galileo is again a fundamental law of the relativity Universe ill-understood by scientists who ‘see’ still pictures of reality with their instruments and seek for ‘substances’ instead of motions. It is also the key to the 8^{th} key principle of G.S.Theory, the paradox of the ego.

All individual systems perceive or process information with their linguistic or geometric minds; using that information to guide their body towards fields of energy in which they feed.

Yet since resources are limited, to achieve those 2 simplest arrows of existence, all systems prey in the energy and information of other species causing their death in Darwinian, preying events. We thus talk of two ethical arrows in a universe of limited resources.

Top predator individual species will try to obtain energy from their environment absorbing it from species with weaker energy bodies and informative heads, provoking Darwinian, predatory relationships, causing their death in Darwinian, preying events.

And they will perceive the universe from their egoistic point of view, as a static dead space, of which they are the center. Since from their subjective perspective, their nose seems bigger than the Andromeda galaxy and the earth seems quiet surrounded by infinitesimal stars.

Yet objectively, the ego is just an infinitesimal, fractal mirror, reflecting a minimal part of the infinite information of the whole without which it will cease to exist.

It is the paradox of the selfish ego that wants to be the center of the universe. The paradox of the ego is the main cause of extinction of all species, which as the human beings are unable to respect the infinity and power of the whole and consider themselves special sons of god, entitled to control and destroy nature, till the Newtonian laws of action reaction, extinguish them. Thus we define each of the infinite Aristotelian Gods, center of a surface of energy they move and prey on:

*‘Every point of view=mind feels the center of the Universe, but it is only an infinitesimal Non-Euclidean point that stores a limited mapping of reality with its informative languages.’*

We are all Atmans, informative CPUs, souls that gauge in different languages reality, to construct a mental mapping that caters to our point of view and arrows of time. So we create our ‘perceived Universe’ – a fact known from Descartes to Schopenhauer, but lost to ‘naïve, realist’ physicists. All *of them thinking clocks are the only point that matters to measure time, and the human mind, the only ego that knots energy into form, since that is the only perspective they perceive. *That is why most of history, humans thought the Earth to be the center of reality; and still think they are the only intelligent species.

**Conclusion: The importance of the 5 postulates of Non-AE.**

The importance and reason of making the 5 postulates of i-logic the centrepiece of the formalism of ¬æ should be now evident to the reader: in the process of topological growth from a single point of view, into a topological plane, which in itself will be a ternary being mess of 3 topologic networks (the entropic, ‘digestive’, energetic, ‘blood-reproductive’ and informative, ‘nervous systems), unlike normal abstract geometry in which the point merely becomes a line that forms a plane, with another line, the fractal point with parts, through which infinite parallels can cross, starts a game of social evolution, reproduction and exchange of energy and information with other points that will finally create networks that will develop into living ternary space-time organisms, in a process much more imprecise, chaotic, filled with trial and errors, interrupted by other entities, etc. etc. but perfectly describable with the logic rules of vital topology, which will surprisingly enough when studied in depth and considered the ‘foundational postulates’ of non-AE mathematics and logic will develop a quite accurate description of the events that compose a world cycle and the parts that create an organism.

It is then the 3rd postulate which Schopenhauer rightly criticised for not being self-evident, as the 5th (if we indeed take parallels as straight lines), which becomes also along the 5th postulate that defines a mind, and illogic temporal postulate also, as it gives the rule, obtained *from practical view, and the converted into formal theorems, *of engagement of beings, according to the different similarity of its 3 parts, of which externally obviously only the membrane, and depending on distance, as a mere point, will be observed.

**I. THE ∆ST 3X3 SYMMETRIES OF ALL EXISTENTIAL BEINGS.**

‘All what exist is a being of space-time, defined as such by a fractal generator, organised by networks of energy (fields/limbs: |Spe), information (heads, particles: Tiƒo) and its body-wave combination: Max. ExI(s=t).’

Function of Existence. L.S.

Another point of view on the understanding of the ∆ST• being, is provided by the fractal generator, which allows to analyse the interior of the being by the fractal method of decomposing it into its parts, systems and subsystems of spatial energy and temporal information. This is in fact the approach of medicine, which is physiology and studies the organs attached to the 3 networks, of energy-information and reproduction (digestive, nervous and blood systems) which define the entity in its first lower layer, departing from the whole. This study thus will analyse the 3 parts, ensemble according to the symmetry between space and time described by the fractal generator. Let us consider it.

The method of study of ∆ST species.

The fractal generator:

*∆-1 $pe < ∆S≈T > ∆+0 Tiƒ*

and its 9=0 symmetries, its 3 topologies in space, 3 ages in time, 3 scales of the ∆-Dimension, resumes the essence of a being, its existence, which consists on tracing world cycles, of 3 ages, as super organisms, of 3 topologies, co-existing in 3 ∆±1, cellular/atomic, thermodynamic-organic, social/gravitational scales. So when we describe any being we depart from its specific fractal generator that explains in detail its 3 organs, 3 ages in time and 3 relative scales of the 5th dimension in which the organism co-exist.

Those 3 symmetries describe all beings in time, space and through its entire existence.

For example, in the next graph, they describe the existence of the human being, its parts, organs in space, ages in time, and relationship with its lower and upper scales through actions of energy and information:

** 3 ∆ TIME-SPACE SYMMETRIES:**

**Topology: tall spheres, long lines, wide waves.**

In the graph, the 3 only space topologies of the Universe, spheric informative, lineal, energetic and hyperbolic, reproductive (as it mixes the other 2) and its 3 equivalent functions≈ time arrows=motions can combine in any form to create as synchronic organs the infinite varieties of species of the Universe.

So we shall find multiple ‘spatial organisms’, which are constructed following the combination:

Past-entropy (limbs/fields) x Future-information (heads/particles) = ± Present system.

**Time. Past-present and future.**

Those past to future combinations are either positive creative processes that forms balanced organisms or negative, darwinian processes that annihilate both (particle-antiparticle collisions).

Thus, the Universe is a game of 3 motions with form, and those 2 elements, the temporal motions with force and their still perception as spaces with form, with intelligence, structure the Universe.

The 3 motions in time, which we shall call, P, for entroPy and past, R, for pResent, Reproduction and Reality and F, for future, form and frequency, are complementary, often sequential, PRF, and causal; and while its perception as motions doesn’t bring much understanding, when we study them as fixed, still forms, we observe an astounding array of parallel structure on all those seemingly independent motions, which create a ‘spatial organism’ that works. It is the interplay between those 2 antithetic elements, the 3 motions of time, past, present and future, and the 3 still perceptions of space, toroid, hyperbolic and spherical organs, what gives birth to the dual space-time beings we observe around us.

In that sense the minimal Unit of the real Universe is a 2-manifold, space-time combination, 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).

if we were to resume the essence of reality we would say that we exist in a reproductive fractal of energy and information.

The existential feed-back generator equation combines energy and information according to the non-æ rules of engagement of both forms, which become stable symmetries: Spe<=>Tiƒ, ternary equivalences between 3 motions of time and 3 topologies of space:

Spe <ST>Tiƒ thus becomes also a past<present>Future flow of actions…

that become world cycles of information and generate in its maximal point, Max. ExT: ext…

or middle point of its curve of existence worldcycle, a new generation and so the frequency of ‘generation’ of world cycles, which are ternary action-reaction waves formed by the creation of an Spe>Tiƒ:

**SCALE: ∆-1: molecule > ∆-cell > ∆+1: organism.**

In the graph, the 3 scales of the super organism. They form together with the 3 arrows of time and the 3 topologies of space, the 3 x 3 isomorphic elements common to all systems of the Universe, which define the game of super organisms.

** **

**II. A DECALOG ON ±∆T-SYMMETRIES, TOPOLOGIES & WORLDCYCLES OF 5D ORGANISMS**

From a theoretical point of view, both analysis related to the ∆o scalar mind and its S<St>t space-time topological parts are necessary to fully descry the organism, and since we exist in an intercommunicated Universe, in which all elements are constantly connecting through flows of energy and information with parallel beings and predating or being predated by smaller and larger, ∆-wholes, in fact each of those approaches can be decomposed ad infinitum into new perspectives, ceteris paribus analysis, and further on use the ternary method to sub-study each part into its ternary parts.

How to approach then a field so extensive as the Universe itself? There are always some themes and symmetries, which are the key to structure the being. So as this first line is a general introduction to the whole nature of scalar space-time supeorganisms and worlcycles, and the will of existence carried by its minds we have reduced the description of the program of existence that all systems of the Universe follow in its simplest terms, with a Decalogue of laws derived from the nature of all what exists as a complementary system of scalar, energy and time hence present in all systems.

These are the basic tenants of General Systems sciences that studies the program:

I: A UNIVERSE OF TOPOLOGICAL ACTIONS OF ENERGY AND TIME.

* **Reality is made of actions of quantum energy and cyclical time.*

*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.*

*The inverse properties of spatial energy and temporal information.*

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.

*Informative time, Ti Vs. Energetic Space, ΣS*** **

Time-clocks:Information Vs. Space motion:Lineal energy

Small, still Vs. Large, moving fast

Tall, Perpendicular Vs. Long, Parallel,

Hierarchical Vs. Democratic

Bidimensional Height Vs. Bidimensional, Length,

Repetition Vs. Width-Growth

Cyclical, Rotation, imploding Vs. Lineal, uncoiling, exploding

Informative Frequency Vs. Lineal Speed

Broken form Vs. Continuous, differentiable

Intelligent, perceptive Vs. Strong, fast.

Social, organic, creative Vs. Darwinian, destructive behavior

Future, evolved predator Vs. Past, energetic victim

Life arrow Vs. Death arrow.

Waves of space Vs. Particles of Time

Female, yin principle Vs. Male, yang principle

Masses, charges Vs. Forces, fields

Heads & senses Vs. Limbs & Bodies.

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).

*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 4^{th} paradigm, widening the principle of conservation of energy:

*‘All energies, trans/form constantly back and forth into information, E*<=>*I’*

Thus the Universe is truly an eternal infinite of beats of energy warping into dimensional form, information and informations uncoiling into spatial energy. And since both elements energy and temporal information have motion this is possible as they are truly just the two extreme types of topological motions of the Universe, each one associated to a series of ‘functions’ and ‘perceptions’:

*Energy=Extension=Space= Fast motion = Lineal, planar shapes = Pleasure = Reproduction = Death*

*Information=Implosion=Time=Slow motion=Cyclical ball=Pain =Communication = Evolution = Life*

The infinite balances and combinations of those two fields and its forms are the essence of reality. The simplest of those combinations is an action of energy and time.

*Actions of energy and time.*

The why of the Universe turned out to be rather simple and biological, more than physical, even if it was a discovery that starts in physics with Planck’s realization that the simplest Unit of reality is NOT a substance but a cyclical action of energy and time. Quantum and cyclical are treated as synonymous, a quantum is a form that we might perceive as fixed and substance but it is really nothing but a morphological motion, traced by a being, that in the specific scale Planck studied, we could hardly see, the light-space. But all what that being did were actions of energy and time.

But can build the Universe departing of those two primary substances or ‘arrows of the Universe’? Yes we can. And that is what I did back in the 90s. The concepts are easy, if you are able to transcend your memetic imprinting and ignore Mr. Planck’s desperado dictum when nobody listened to his astounding discovery that we were made not of substances but actions and hence motions (‘for a new paradigm to be imposed all those who learned the previous paradigm must die’).

So try to follow me with a ‘Tabula Rassa’. You have two entities, energy and time, and they have motion, so they create actions. The simplest combination is called an h-Planck constant. That gives us a first ‘being’. Now forget your abstract, earlier Hegelian imprinting (this you might not know, but history of science tells us earlier German thinkers were idealist as philosophers of science and did not consider the Universe made of ‘realities’ but of ‘mathematical probabilities’). Think rational. h-Plancks are ‘real’, the simplest bricks of the Universe, and they are made of energy and time. In fact you perceive light, when you stop seeing light you stop seeing the Universe of space-time.

Therefore the space-time Universe we perceive is made of actions of light of energy and time. And physicists have discovered that indeed the vacuum is made of energy, which moves and change in time. But we said the Universe of space-time instead of the Universe of energy and time. Space has become energy. And indeed, space and energy are two ways of seeing the same thing. Then we come to the other term Time…. But we use in many sciences instead of space and time, energy and information, so time and information, ‘form-in-action’, form must be related. And yet we use clocks of time, cyclical forms to measure time.

All what exists is made of space-time, in abstract, of energy and information, self-similar terms.

Now when you say ‘I don’t have energy and time to do this’, it is obvious that subconsciously you know the two substances of what you are made, energy and time and you are right. Because what you are, what we shall describe in this book in great detail is how you ‘become’ yourself, departing from the two primary substances of the Universe, energy and time, which together form an action, the basic unit of reality.

So Duality deals with that fact, and extracts the laws of energy and information. Now, think again, what else can be there? The simplest thing is to combine energy and information, and you get a 3rd entity. This combination e x i, or e x t, if you want to use Quantum or Einstein’s notation, turns out to be the essential equations of physics. So we are on the good path.

Thus now we have 3 arrows, energy, information and exi, that we shall call the arrow of reproduction or creation, as it creates a third entity, one which is made of two substances, and turns to be an ‘action’.

What else can we find there? Since there are many bites of energy and bits of information, we can combine them, and then we find the 4th arrow:

*∑ e x i*

This equation, which the reader should observe includes all the others, is what I have called the Generator equation of all the entities of energy and information or space and time of the Universe. And from that simplest equation and the interaction of its two ‘simple arrows’ or motions, we create its two complex forms, actions and societies. And this, my friend is all what we shall need to explain you all what exists and more… what you don’t see but it exists also in other fractal scale of reality.

Those two substances 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.

So now it is clear what it is the game of existence, the Universe: a game of relative organisms, of each scale of reality, performing externally in an ecosystem, its space-time, cyclical actions, switching among its tasks of energy feeding, informative perceiving, reproducing and keep in harmony with the self-similar points of its energetic, informative and reproductive social netkwrs.

In brief, we exist in a series of parallel games of feeding, perceiving, evolving and reproducing. And all of us can be perceived externally as ‘points of view’, Non-Euclidean points, playing this geometric and biological, existential game:

We are all knots of discontinuous, cyclical actions of energy and time.

Energy and information have inverse properties. Energy is lineal motion; informations are cyclical forms. Thus both are two types of motion, |-energy and O-information, equal in power and interacting and transforming into each other constantly. This principle of conservation and transformation of energy and information becomes the new fundamental law of science: ‘All what exists is a complementary system of bites of |-spatial energy and bits of O-Temporal Information: E<=>Ti.‘

*And that duality of substances/forms/function structures all our actions: *

Indeed, all systems are complementary systems with heads that absorb, perceive and process information and bodies that absorb, perceive and process energy.

But the previous graphs and equations refer basically to a bidimensional system and we live in a 4-Dimensional system with 3 spatial dimensions and a 4 dimension of motion, which puts together all the cycles of time, all changes of the Universe (and we shall explain with far more detail, including the meaning of its own 3 dimensions, past, present and future, in this work) Thus the next step of a complete analysis of energy and information is to consider those forms of motion in 4-dimensional space.

*2. There are only 4 actions of energy and time that all complementary systems perform. *

The science of General Systems or complexity describes all entities of the Universe with the same laws explaining the reasons why those entities exist, its forms and functions, its actions and its life/death cycles and reasons why they become extinguished. So its laws of creation and destruction of all Universal species can be considered that ‘program of the Universe’ or ‘program of existence’, which traditionally in mythic terms is equivalent to the concept of the will of God. Yet it is not a personal God-will but rather an impersonal, biological, evolutionary program which reinforces itself through evolution and survival:

Those who do not obey or seek the 4 arrows/actions of the program, which is the strategy of survival of all species, die away, and so the will of the Universe must be obeyed, or else we become extinct. We are free to deny the program (as humans, we shall see do in this moment of history) but if we do not gather energy and information for our body and mind, if we do not reproduce and we do not evolve socially and interact with similar species, chances are we shall not last too longer and die away. And so the program will be carried further by those who did obey the ‘Law’.

All systems perform 4 actions to survive that define a simple program of ‘existence’, which all species of energy and information follow, *to survive. *

*The deduction of the program is simple. *First, all what exist is an action, which has 2 components, exi=k or exT=k (depending on which self-similar concept you choose information or time) and there are many quantic actions. So all what we can do is 4 type of actions that we shall call ‘arrows or motions of time’:

Those arrows or actions all species made of complementary bodies/fields of energy and heads/particles of information perform to last in time and space will be:

– ∆E: They feed on energy for their bodies/fields.

– ∆I: They absorb information for their heads/particles.

– Exi: They act combining both, and the most common action as we shall see is to combine them both to reproduce you in other zone of space and time and survive after death (or become reproduced by an external catalyzer, enzyme or ‘enzyman’ – machines).

– ∑ e x I=I_{i+1} They evolve socially in more complex networks that survive longer in time and space.

The 4 arrows are ‘necessary’ for any complementary system of energy and information to exist. As any system will die if it doesn’t replenish its energy and information, or reproduce before death.

Further on the 4^{th} social arrow creates stronger top predators, either herds (loose groups of self-similar organisms of the same type) or organisms proper (more connected systems that organize 3 sub-systems, heads, bodies and limbs, specialized in information or formal structure, reproduction and energy, all of them connected by a 4 system, the linguistic system that organize them all).

Consider yourself as a being, which will follow its path of time motions unaware that the sum of them all will be a spent life without anything but a trail of forgotten actions, which only your finite ego commands and understands. What is your freedom? rEALLY NONE, except to think you are free to manage your actions, but at best you *would just perform an excellent game by closely following the rules of justice and balance in the golden mean path of maximising your function of existence, max. e**xi (s=t) the same boring strategy that all systems do follow.*

*First definition of the Universe*

The Universe is a system of networks of knots of actions of energy and time, perceived in static space as forms and organisms, and in time as motions and causal chains of cyclical actions all of them put together into the causal chain of life-death cycles.

The Universe perceived in time is a game of beings performing cyclical discontinuous actions as they switch between feeding, perceiving, reproducing and acting in social networks.

The most important of those actions is the reproductive action that preserves the game, and the most important ‘time cycle’, born of a series of causal actions that chain each other is the life and death cycle, which thanks to reproduction allows generational immortality.

The interaction between beings performing those actions between the limits of life and death causes its selection, extinction, recreation, fusion and fission in bigger or smaller network-entities.

The interaction of all those cycles in perfect harmony can be defined by a single function, which resumes the 4 actions of time between life and death, max. ExI, where E is energy and I information, quantum terms closely related to the universal equivalents, Space and Time cycles; as Space is the sum of all energies and time the sum of all informative cycles, all the discontinuous repetition of the being’s actions which carry different frequencies and intersect each other.

Thus the function of existences is the mystique, final equation of the grand design of what you see.

In this post we will resume in a decalogue those actions, its laws, the forms and functions that accomplish them, how those actions are organized in ages, and how their frequencies and balances define the actions of the main species of existence.

The creation and reproduction of new forms-in-action,informations, existential Spe<St>Tiƒ beings, follows simple rules which can be resumed in the constant reproduction of waves of existences, Max. Exi (s=t) functions, which maximise the energy and information of a domain, Max. e x Max. I by maintaining a balance and internal communication between its Se and Ti elements, in a point S=T, which maxmize its product.

All thus can be reduced to the function of existence, which decomposes in the basic actions< max. e (feeding moving) max. I (perceiving information communicating) Max. e xI (reproducing) E= I (balance and beauty), Max. ∑ E, I (SOCIAL evolution and quantisation).

The feed back function, E<=>I BECOMES FIRST a static, balanced e x i (Spe=Tiƒ) organic system of two poles and then develops this maximal function, through a series of quantised actions, directed by a point mind that acts as the knot of those space-time cycles, trying to increase them all in quantic balance and synchronicity. It is then the stud of those harmonious synchronous chains of space-time actions, Max, e, i, exi, ∑, what brings us the details of the different functions of existence of Spe<St>Tiƒ, SUPEROrGANISMS & its world cycles, integral zero sum of all those actions, ∫∑ e x i ds dt=0

*The discontinuous nature of cycles of actions.*

Actions are discontinuous because they happen from time to time as systems require new energy, information, reproduction and social interaction. This creates discontinuous frequencies and formal patterns that relate cycles of actions and information.

We obtain information from those patterns that allow us to describe those actions and cycles.

Any cycle in which a being performs an action has an end in time* *and a discontinuous, quantic size in space. Thus, the Universe is continuously differentiable during the cycles of time their beings performed, but when the p.o.v. switches its action it has a point of discontinuity, what we see is the trace of those cycles of actions that ‘draw’ the 4 dimensional space-time universe

Beings constantly create actions of energy and time. What you see are knots of such cyclical actions… fabricating time. What we see are the trajectories of beings performing in an alternately causal way their cycles of time. One of the most common cycles is to have a p.o.v. become a focus of a force, which acts as its source of energy and information. A first paradox of Galileo happens here, as we can perceive the point as static and feeding, moving along the field of energy and so we can establish a static or dynamic analysis.

Those points then ill feed along that path and a certain moment satisfied that action will try to fulfill others, and in that switching on and off actions will seem to disappear and new, different trajectories motivated for another action appear. If we see densely packed in time and space those actions they will be sequential and those causal sequences are the stuff that latter (paradox of Galileo) seen as a package of space-time or organism, are the reality we see in its infinite fields.

*Relationships between the simplex and complex arrows.*

The dualities between external, spatial and informative, simplex forces/actions and complex, internal forces/actions/networks create a series of patterns and synchronicities that are repeated in all systems.

The simplest relationship is one of causality between the simplex and complex arrows:

*∆ Energy->Reproduction* and *∆ In/Form/ation->Social evolution* through a common language.

Complex reproduction requires a great deal of energy to be achieved, so for example women cannot have children without a proportion of body fat, and most cells do not undergo mitosis without a cytoplasmic growth. So reproduction is the complex arrow of energy and we observe many causal relationships and ‘cycles’ of the type: E->Re. On the other hand social evolution depends of a language of information that the different ‘cellular elements’ understand. Thus social evolution is the complex arrow of information and we shall also observe many relationships of the type: ∆i-> ∑ e x I.

The most important inverse property of those space-time cycles is the fact that each cycle/action of time has a different duration and each scale and organism has a different speed, according to the ‘Generator equation’: Max. E = Min. I and vice versa. So in life smaller species have a faster methabolism. In physical vortices of information, such as mass… the faster they turn, the more they attract and the smaller they are, with a black hole vortex of gravitation, which turns at c-speed in its event horizon and attracts more than the bigger, slower turning stars, as a Universal limit.

*Creation of social scales, in which each whole is a unit-part of the next scale.*

Complex, social evolution helps most species to survive, e*specially when they reproduce in great numbers*, creating a ‘new scale of reality’, *self-organizing themselves with a language of information all those cellular particles share*. And we measure this fact with a scalar, fractal index of new scales of existential functions, i. Normally all systems must be defined at least in 3-4 scales:

– The lower, i-2 (bits of information) and i-1 (bites of energy) scales defined with mathematical/genetic/memetic languages, depending of which systems we analyze in its details – a biological, sociological or physical system. We perceive this scale as bits of an informative language – which gives us a synoptic minimal information of the properties of the entity. As the i-1, i-2 levels, as it is far removed from us in size and so we introduce uncertainties and loose information.

Then it comes an i scale, of our size, where information is maximal. So we observe more information explained in a complex manner. Thus in the i-scale we deal with chemical molecules in physical systems, living cells in biological systems, humans in history and corporations in economics, using topological, organic, psychological or econometric methods to define their actions.

– Finally in the i+1 scale we perceive ‘states of matter’ that define masses of molecules of energetic (gas), creative/reproductive (liquid) or solid/informative nature; we perceive organs and organisms made of cells and we perceive civilization and markets.

Thus it is obvious that function=action is the ultimate spiritual truth, to which form adapts; and the similar laws between entities are based in the ultimate program of functions, hierarchies and social scales of size. And so we can despite the details define a complex, spiritual, structural game of scales of i-nformation, organic roles and functions that will be repeated in all systems from the simplest particles to the more complex civilizations.

3. *All are complementary systems made with 3 ‘topological functions’: Limbs, heads and bodies.*

*A 4-Dimensional Universe has 3 canonical topologies, which correspond to the 3 organs of all systems:*

* Max. I: Head/Particle/Informative caste: They display the hyperbolic topology of information, observed in most ‘heads’ as an excess of warping and form (cortex, black holes, Chromosomes, Chip design).*

*Max. E: Moving Limbs/Forces/Energy class: They show a relative plane, or concave topology; such as the one observed in an external membrane, often the cover of a sphere of a bilateral form.*

*E=I: Reproductive Body/Atom/Working class: The topology of the reproductive system is a combination of the other two, performing cycles that communicate the energetic membrane and informative center. *

In the graph, concave, energetic, toroidal, reproductive and convex, informative topologies are the ‘forms with most often found in the 3 main physiological systems of 4-Dimensional super-organisms.

Beings are not pure motions or just made of information. Hemingway understood , when he said to Dietrich: “Never confuse movement with action”. Indeed, energy ‘or lineal motion’ is not an action per se. It needs form, in/form/ation to direct it to create a purpose a goal, to change reality. So a Universe of actions requires some energy and some information to create a being.

Thus, all what you see will be a combination of both, and so we write a general equation to define all: ∑ E <=>∑I, and state that all what exists is structured with 2 complementary systems, one of information that gauges reality (cyclical particles and heads of physical and biological entities) and one of energy that moves them (lineal fields of forces and limbs).

This leads to a third system that combines both, energy and form, the reproductive system, exi or body. And all of them follow the principle that form is function. So bodies are conical, elliptic, combinations of lines and forms. And so *Geometry* and topology are fundamental sciences that apply to all ‘scales of reality’ and all its entities.

Thus topology proves that in a 4 dimensional Universe, there are only 3 topologies, which correspond to those 3 sub-systems: hyperbolic, informative topologies, energetic planes, and reproductive disks.

*Thus Three Geometric Forms determines all functions*: cyclical clocks of information, Energetic, lineal or planar limbs of space, and its combination, ‘complementary systems’.

*Function and form: limbs and membranes of energy, informative zero points and reproductive, toroidal bodies.*

In the previous graphs we can observe some of the interactions between the zero-points (minds), spherical membranes (energetic skin) and toroidal cycles between both that structure the ‘physiological, inner forces’ of all systems and organisms.

All structures of the Universe are composed of only those 3 topologies. This astounding simplification is the result of 2500 years of mathematical evolution since Pythagoras discovered the laws that rule the bidimensional topology of those 3 forms, the concave-planar sphere (or cycle in a 2 dimensional world), the toroidal body with its regular cycles that transfer energy and information between the external surface of the sphere and its center; which is the informative region or zero point, the ‘eyes’ that perceive in stillness a pixelled map of the Universe brought about by the flows of energy and information of the Torus.

After 2500 years since Pythagoras discovered the circle as the most perfect form, geometer have come to the conclusion there are only 3 forms in the Universe: The sphere, the torus and the zero point.

With those 3 forms you can build all the other forms of reality. All is reduced to those 3. So what they mean? What is their function? And how they combine in the puzzles we call reality? Those are the 3 first questions we shall answer.

In topology we consider a form to be the same one, if it is only deformed but not torn. Thus a sphere is in fact any membrane, or skin that closes an inner space inside. This inner space is called the ‘ball’, and the ball does not include the external membrane, neither the hyperbolic center, or zero point. The 3 together form the ternary structure of most systems, with an external barrier communicated with a torus of cyclical flows of energy and information with an informative, hyperbolic center or north south axis.

What matters about those morphological, ternary systems is not so much the specific form but the functions derived of the common properties of each of those 3 universal topologies, which are not rigid, solid substances but deformable networks of points bonded by flows/lines of energy and information. Its dynamism means as distances and flows between points of the network shorten or lengthen the whole form changes but if the cellular network does not break the form remains one of those 3 topologies:

– *The membrane* is a network of planar, democratic, self-similar cells, which expand and enclose the inner organism from the outside. It will allow therefore through the holes of the network the transfer of energy and information with the external world, develop certain holes, those for energy called mouths, those for information called senses, and those positive and negative to absorb or expel wasted energy and information.

All systems will have at least those type of wholes and a strong, energetic, spatially extended membrane that circles the ‘vital space or territory’ of the species. The membrane can be multiple, the most extended, less loosely guarded is the territorial zone in which the informative center moves. The structures are always ‘functional’ and made of loose networks with motion and holes between them. *Once we understand those topologies is essential to understand that they exist not per se, but as a ‘function of their functions’, which are temporal, dynamic more ‘abstract’ and yet rule the morphology that adapts itself to preserve the function or ‘action’ they perform. *

It all starts with the creation of a hollow sphere of self-similar cells assembled in a herd, in which each point is only communicated with the lateral neighbors, absorbs energy from the external Universe thanks to its ‘energetic’, hard structures. This herd multiplies and lets part of it flow internally into the torus.

A key property is the equality of all herd’s units, which have all similar functions and are exchangeable, submitted in physical systems to the Bose-Einstein statistics; hence able to form a news plane of social existence called a boson, synthesis of all its units. In the same manner, a sphere can create in the center of its inner space-time a reflection mirror of all its cells – a zero point of the whole self. Thus the natural direction of flows of energy and information from the outer spherical cells is the internal space: The cells observe its mirror image, crates feelers that finally interconnect in a knot of information or zero point in the interior.

Function is kept in bilateral and planar forms but directions change. A two dimensional, planar herd can have a center or top or frontal head on which the language cells reside: politicians, kings, priests or markets rule a society from a center that receive and distribute information.

*– The still center or **zero point is* the point of consciousness of any system, of any world, of any non Euclidean point, of any topology of 4 dimensions, of anything that exists, of anything that *is*.

In a human point the zero point is the brain, the membrane is the external sensorial and skin system, and in between the cycles of motion that transmit both consciousness and make us live. But we see of us only the external and the internal consciousness, zero point and membrane, while curiously enough the universe sees or perceives the changes produced by the flows of the torus, the precise functions more than the visual observation of those systems is what will guide us in our understanding of reality.

Look around yourself and you will not see any zero point. That is the beauty of it. They are all internal, they are all guarded they are all secretive, they are all connected, communicated, but at the same time isolated, ego-centers of all the complementary systems of the Universe:

ExI=K, the quantum equation, ExT=K, the Einstein equation, knots of actions of energy and time, centers of torus, hyperbolic topologies, brains, and cellular DNA, Cpus and black holes, vortices, eddies, time rushes, zero points are I=eyes, and the engine of form and quietness, stillness and perception, will and creation, and dis-creation.

*– The torus.* In a film that now has a lot of followers, ‘thrive’, a Californian rich kid guru explains that the torus is the most repeated, key intelligent topology of the Universe. He is right, but it is only one of the 3 topologies of any 4-dimensional universe.

We can build such tri-dimensional torus departing from a cycle, pi, made with 3 units and 3 apertures, of 0.05 between the 1 D-units of the membrane. It will reproduce and create a self-reflection – a similar smaller internal ring-son. Then both will form a dual system, in which the son will integrate the flows information and the external disk those of energy that cross through those 3 apertures. Thus a dual energy-information circle is formed. Then the flows between both will create a new curved dimension of height forming a toroid. That center is created internally by segregation and motion of a number of self-reproduced cells, imaging the father, which is always the bigger, external membrane of the system that appears first.

Again causality is determinant: the membrane gives birth to the zero point – it is the father element, hence energy is the first causal action that gives birth through a cyclical body to an informative, final form. Then when the father, external cycle dies, the internal cycle- son is exposed to the external Universe and in this manner all kind of waves are observed as being emitted, the father wave disappears as an explosive external energy the mother wave lives longer and reproduces an internal son wave that will repeat the process or you rather can see the father as progenitor hermaphrodite producing and internal, reproductive wave and an external explosion of death in the moment of giving birth. Thus many fathers die when their sons are reborn (as in mitosis). Yet a dual system is produced; one with a more complex, vital center, and en external, more expansive membrane that protects it. So in beta decays, the nucleon becomes a bigger, more dynamic atom, and in mitosis the cell breaks in two.

Most systems don’t have a radial form centered at a zero point but are born as hollow spheres that grow inwards creating a digestive tube and establishing a flow in the inner vacuum space of the sphere that soon becomes a dual convective flow in cyclical motion that transfers towards the central of the new torus an image of the external image. There the internal cells become the inner radius/zero point of a growing torus. An eye within an eye: the membrane now is reflected by the axis that form in the center a growing seed, a brain, a DNA nucleus. All bits of information reflect an external Universe, imitated and mapped in the lesser space of the zero point, which is warping and extracting information and deflecting energy to perceive with those maps what the external sensorial cells are scanning.

So from a seed with an external membrane and a middle body to feed on, to a celestial body or atom with a hard crust or electronic cover, a series of rotational toroidal cycles of electromagnetic energy and information or plasma flows and a central point of maximal density, we see repeated the 3 topological construction of a functional limbs-body-brain, skin-organs-informative center, structure.

This ‘primordial’ ternary system *in space*, *in time i*s coupled by a dynamic transformation*, *as we observe the *software flows of energy and information* the system carries in time through its ternary structure: first energy will be absorbed by the negantropy of the membrane, which will let the flows enter the torus, where they will be processed and grow in information, becoming either material for the reproduction of the ‘cellular’ units of the body-torus, or pixels transferred to the zero point in the center but ‘outside’ the inner circumference of the torus. The external skin or membrane transfers energy to -> A Central zero point of information->through an intermediate body-torus.

The general evolution of those flows is Max. Energy -> Maximal information till reaching stillness when they come all in ‘parallel’ as a puzzle that for an instant of time – the perceptive, relative internal clock of the system – will appear as an image that perceives in itself. This central point of stillness is the consciousness of the point. And we consider that consciousness is precisely defined as that ‘image’ constantly changing in minor pixels as the flow of energy is finally distilled into information.

A simple transformation happens between an external sphere that converges into that zero point.

If we consider the growth of such a sphere, we can observe, as in a ‘morula’ or in physical particles and celestial bodies, how the growth invaginated inwards transforming therefore the sphere into the torus.

A zero point in a fetus is born first as a morula, a perfect sphere. The sphere of energy is therefore the first thing to be created. It is always like that. A single planar form appears. It start to multiply and without disconnecting itself, it first creates 3 then 5 and each five starts to ‘copulate’ with its neighbor cell and create 2 more on the next level and so on. Different patterns now start to differentiate a game of evolution, which will become more complex in each scale.

The first topology, the democratic sphere which absorbs energy from an external universe is hollow. This sphere is made of individual points that have a recognizable arrow from outside energy to inside information. They will have a gradient of density, as the inside face of the cell is denser and shorter than the outside one, in a ratio depending on the depth and volume of each cell. It follows also that cells will start to be come self-mirrors of other cells as they see them through the internal sphere. And finally at a certain point this sphere will become invaginated in a polar directions as ‘cells’ fall in internal growth from the bottom and top, hanging and building a pole North, South direction.

This stage is the blastula in a biological organism; in an electromagnetic field created between two smaller sphere-points is the moment in which the electromagnetic field between two poles is established.

This is the ‘perfect’, ideal ternary form, which evolves in time towards diversification of 3 forms and in space puts together the 3 elements in a ‘sphere’ and so it is often the perfect seed or organ of existence

We can see that simple assembly in the graph, the eye-zero point system is the hemisphere (right side), in which the flows of the torus converge, coming from an external ‘Riemann sphere’, or membrane, joined with the zero point by a series of flows that reduce energy into denser form.

In the point in which that speed is reduced to zero, a zero point appears, in which a pixel mirror of the external sphere, corrugated into a linguistic image gives consciousness to the system. Then something magical occurs, the zero point processes that energy into information that forms and provokes a change in the position of the entire system, the sum of the membrane, the zero point and the torus in between that acts as a body. The membrane are the limbs of the system, the zero point the brain and consciousness and the torus the physiological systems or flows of energy and information between both.

Observe in the bottom of the graph samples of the 3 form-assembly in different systems of the Universe. Man also is a complex system with 3 interconnected zero points, around cellular toruses, with external and internal membranes of exchange of energy and information with the external universe, and apertures called senses… So we shall first explain the general form of all zero points, spherical membranes and torus and then analyze in specifically the human one.

*Diffeomorphic Dimensions. Each entity is a relative Universe.*

* *To understand that human form or any similar, lineal form evolved departing from a perfect, ideal spherical seed, we need to interiorize the most difficult fact of general systems theory: that the visual, topological forms respond always to functions/actions in time, the commanding dimension of reality, to which the forms diffeomorphically adapt to obtain the maximal energy and information and accomplish their actions. So once a form is created, it will adapt and evolve , deforming their external membrane, creating complex warped, fractal, branched internal physiological networks that act as fixed paths of energy and information, diversifying its organs and yet at the end of the road, the same topologies, albeit sometimes difficult to recognize will form a ternary being, which will deploy the same 4 actions of existence with those topologies and internal networks/forces.

General Systems Sciences accepts the principle of relativity and diffeomorphic: local measures. Since each species is a ‘universe in itself’, with different relative, energetic and informative arrows that determine its ‘whole’ morphology. Thus, each species establishes its own up and down arrows or relative energy and informative directions. In the graph, animals use light as information and plants, use light as energy. So both have opposite energy-time coordinates. Yet both have an ‘anteroposterior’, lineal’ ‘outward’ energy oriented structure. Galaxies and other forms of the previous graph have a cyclical, informative, inward structure, where the stars body absorbs energy from intergalactic space, reproduces matter with it and feeds the internal informative knot of gravitation, the black hole.

*Reproductive, Fractal differentiation. Evolutionary processes. Basic Laws.*

Finally, another key element of all systems are the restrictions and favoured paths of reproduction and mutation or evolution of form.

Because there are only 3 functional forms in a 4-dimensional universe (with 3 dimensions of form or space and one complex dimension of motion or time), morphological evolution is not random in choice but guided by the limits of 3 basic topologies, which will be expressed by morphological mutation: either an energetic membrane, toroidal body-organ or warped, linguistic mind will evolve positively or negatively in their parameters, which is often achieved changing the ‘speed’ of time of the process(so for example in human apes the brain bones grow faster than the chin, which grows faster in gorillas, and this change in an essential time parameter determines a functional change in form).

Thus while the variations might seem endless, in fact evolution is restricted by the limits of parameters of form and function, spatial changes in 3 dimensions and temporal parameters – the main tool for establishing those differentiations of a species into either + or – informative, reproductive or energetic growth and evolution.

A ternary process of ‘fractal differentiation’ is the key to understand the ‘speed’ and accuracy of evolutionary development: As a system evolves the 3 ‘diffeomorphic=local’ coordinates of the system – the top (information) – bottom axis, the back-front axis of motion, and the wide axis of structural form and reproductive storage, *which are perpendicular to each other, *are conserved.

The ‘emergence’ of the properties of previous scales defines this way the elements of the next scale.

They become in the electronic scale the ‘right hand rule’ between electric and magnetic fields; in carbohydrates, the key to understand the 3-dimensional warping of DNA and proteins according to the different positions of its C-formal, O-energetic and N-informative parts. It will be then the ‘3 first genetic’ morphologies imprinted in the cells, with the ‘animal’ pole on top, from where the informative neuronal plate will develop. Then the foetus will define the anteroposterior axis of energetic motion and finally the wide-bilateral, reproductive axis of accumulation of cells.

*Ternary principle in space and time: *Finally a fundamental symmetry that we shall consider latter in more detail is that between the 3 forms, of space and the 3 dimensions of time, past-youth, present-maturity and informative, 3^{rd} age, as those topologies and its functions dominate in each age of time of the life/death cycle of the being, which goes from the causal, first element, the energetic, external sphere into the 3^{rd} causal element, the center of information that dominates the 3^{rd} age.

4. *The actions of beings have a temporal order. Ternary ages and life/death cycles.*

The dominant action any being performs is reproduction, exi=k. It is the ‘leit motiv’ of reality that happens when e=I. And so the ‘function of existence’, ∑ e x I, is maximized.

Reproduction and combination in a point of balance of e and I, that produces a quantum wave of self-similar seeds in a lower plane of existence, i-1 happens in all scale and systems in the same manner.

Reproduction follows the same causal processes in any scale: two self-similar species with ‘opposite’ energy-information coordinates (the definition of ‘gender’), in the case of particles, with opposite spin, produce a ‘seminal/cellular sub-particle’, gluons in quarks as in the previous image or photons in electrons. And when the two sub-particles merge their form and energy, they reproduce a ‘shower’ of new electrons or quarks. Thus the process is the same than in human beings and we can *generalize the process for any system of any scale of the universe, with the notation of general systems as*:

Reproductive action (any scale): exI (female) < = > Exi (male): exI_{i-1 } x Exi_{i-1 }= ∑ e x i.

So quarks reproduce other quarks colliding gluons as the previous graph shows and electrons colliding photons of higher energy, and the black holes of central galaxies emit jets of dense matter and cells, molecules of DNA.

In that sense, as the increasingly detailed analysis of gluons and electromagnetic flows show, we can talk of those ‘flows’ as micro-networks, similar to the nervous, endocrine and blood systems in our more complex super-organisms. And so the strong and electromagnetic forces do act in several scales, as it happens with the blood system that carries not only energy but also hormones – information… Within the structure of the atom we could consider the existence also of 3 *physiological networks that correspond to the inner energetic system (electromagnetism), informative system and reproductive systems. And a fourth external ‘force’ that corresponds to the light we perceive but do NOT circulate inside us (the gravitational force).*

Actions are processes with an increasing duration in time such as:

*Informative action < Energetic action < Reproductive action < Social action.*

And vice versa, given the opposition of properties between time and space, their range diminishes. *This is the law of diminishing range of the forces that mediate those actions.*

* *And so we can also connect those 4 arrows as a sequence in time: beings perceive and search for information to feed, and when they feed enough the reproduce, and when they reproduce a lot, they organize in social groups: E->I -> exi (Reproduction) ∑ exi.

These beats of existence are the key to explain the evolutionary patterns of all systems, from the creation of the Universe as a whole, to the creation of life, to the science of morphogenesis and evol>devol to history and economics and the creation of its super-organisms.

Of all those temporal sequences the most important is the life/death cycle:

In the graph, the 4 arrows of space-time have in most species a clear order in time:

– +1: Birth: We are born as a seed of information that:

-Max. Energy: The being goes through an energetic youth of fast motions, in which the energetic limbs and external sensorial membrane dominates.

-E=I: Balances energy and information in a mature, reproductive age, in which the internal, topological, reproductive system dominates.

– Max. Information: Till it warps all its energy into form, in the 3^{rd} age in which the central, hyperbolic, informative brain/particle singularity is dominant. This age ends in:

– -1: Death: Exploding back into energy, erasing its information in the process of death.

The long arrow from energy to information of ‘life’ E->I and its local short reversal from information to energy or ‘death’, I->E, becomes the cycle of existence and extinction of all complex systems of reality, from humans to matter (energy=gas state, liquid= reproductive state, solid=informative state), to the Universe itself from the big bang to the steady state to the Gödel’s vortex, described by the 3 solutions to Einstein equations, which must be ordered in time. In the next graph, we see some examples:

In the graph, most systems follow the ternary principle and have an energetic, informative & reproductive system. Such ternary systems follow the 3 symmetries of the complex Universe: the 3 ages in time of the system, dominated each one by a network (the energetic youth, reproductive maturity and informative, 3^{rd} age), the 3 topologies in space that define those networks (hyperbolic, informative center; planar or spherical, energetic limbs and membranes and toroid, cyclical, reproductive organs); and co-exist 3 scales of existence – the cellular, organic and social scale, in which the organism becomes a unit of the next scale of reality.

So the study of systems through its dualities and its 3 symmetries of spatial form, temporal ages and scalar size, is the essence of the ternary method that we shall follow in this work to classify all physical species and study its evolution.

Those ternary ages and topologies are the foundations of a theory of multiple spaces and times, extended through several scales of reality, whose origin can be traced to the work of Leibniz on relational, multiple time cycles and vital spaces, but now truly acquire thanks to systems sciences all its solving power. Since we classify all space forms and time events in 3 topologies/ages that put together in social networks, create new (i+1) organic systems.

Thus the duality of energy and information and the ternary method is the key system used to resolve and reorganize the elements of physics, from the 3 ages of creation of matter (energetic gas, reproductive liquid and informative solid) to the study of particles and its social forms (the 3 families of increasing mass-information, the duality proton/neutron, quark/electron, strong/weak forces, gravitational/ electromagnetic membrane; the 3 ages of the Universe equivalent to the 3 solutions to Einstein’s equations – which are phases of evolution in time of the Universe that goes from a big-bang age, through a steady state into a Godelian vortex.

*Topologic evolution: 3 ages of species.*

* In all space-time scales species follow a future arrow towards more information, which increases in 3 horizons and finally evolves individuals into societies, herds and macro-organisms, related by a common language/network of information.*

The process of evolution of species is equivalent to the 3±st ages of individuals with a twist: death is not the only ‘solution’ to the cycle, but the duality of ∂-disintegration or ∫-integration of a social group (in the case of life a cellular group), which defines the life/death cycle gives two choices to some ‘top predator’ informative species: After its 3 horizons or evolutionary ages the species might become extinct or transcend into a super-organism.

In the graph, the seminal, 1^{st} species packs a lot of information in minimal space: It is the Worm Hole, the chip, the 1^{st} bilateral animal^{2}, the 1^{st} mammal, the horse and the 1^{st} Homo Sapiens, which seem to have evolved from a dwarf ancestor, which first discovered technology and had a dwarf brain, albeit with an evolved morphology similar to that of the Homo Sapiens: the Homo Floresiensis^{3}.

Then the new ‘highly informative’ top predator follows in its evolution a plan of dimensional evolution that transforms species with a high content of energy into species with a high content of information through 3±st horizons, self-similar to the ages of an individual organism. *Since species are, in fact, macro-organisms in which each cell is an individual of the species.*

-First in its ‘energetic youth’, the species grows in size as horses, humans, bilateral animals or black holes do.

-Then the species suffers a reproductive radiation colonizing new ecosystems.

-Next the species suffers a speciation,* *according the ternary principle into 3 subspecies, one dominant in energy, another in information and a 3^{rd} one balanced in both parameters.

– Finally, a new top predator extinguishes the species or the informative one evolves into social organisms of different complexity, stronger than the individual and survives.

Further on, evolution, as the analysis of the complex plan of ‘speciation’ shows, has two paths: social evolution of ‘external’ energetic bodies (the herd-state, of lesser efficiency and higher spatial extension) and social evolution of ‘internal’ informative organs.

In cells, this give birth to the two main arrows of cellular evolution: muscles, single cytoplasmic cells with multiple nuclei; and neurons single, dense nuclei with multiple cytoplasmic branches (dendrites).

In Physical systems to ‘quark condensates’ (neutron and black hole stars) vs. molecular, external fusion.

Finally in the evolution of species, we have also the causal rhythms between the dominance of each arrow, similar to the ‘ages’ of life, as a species is the life of a ‘cellular’ parental father, reproduced into multiple individuals that will become extinguished, often substituted by a son-species (Oedipus paradox). And the rhythm parallel to that of climatic change is simple:

Small informative seed (first small species-foetus)-> Energy feeding (growth) -> The young age of the species/individual shows a growth in size -> Reproductive/radiating age-> follows by a reproductive expansion of the species as a new ‘top predator’, while the individual gives birth to an offspring-> Informative age/diversification of the species -> extinction/death & survival of the son species.

This simple scheme applies to the analysis of the ‘frozen horizons’ of the big-bang and the particles created; to the evolution of species, which appear in the fossil record small in size (1^{st} bilateral vernanimancula, 1^{st} modern mammal (shrewd), 1^{st} horse, 1^{st} human with technological/speech skills (Homo floresiensis?), first ‘self-reproductive machine’ (chipped nano-bacteria?)…

*Recap*. The simple, morphological plan of evolution that each fractal species of the Universe repeats is *caused by the fact that there are only 2±1 forms in the Universe, lineal energy and cyclical information and i=ts reproductive, body combination*. So only 3 new types of species can be created, one with more energy, one with more information and one that reproduces both.

*The meaning of evolution and temporal dimensions: Max. E-past x I-future = Present.*

Let us now consider a more complex application of those previous laws of all systems: the meaning of past, present and future, which is a consequence of the causal order between those arrows:

Perception->Energetic feeding->Reproduction->Linguistic, social evolution.

In turn that order defines in a longer time-span/scale of existence the causal order of a life/death cycle:

Informative seed->Youth->Reproductive maturity->Informative 3^{rd} age and death…

And in turn that order defines in a longer time-span, the ages of a species, which is born as a small, more evolved form that -> Grows in size -> Radiates and expands as a new predator -> Diversifies informatively in multiple species -> evolves socially in a complex superorganism (ant hills, human societies) or become extinguished by new, more evolved, often ‘son’ species (Oedipus paradox.

Now when we combine all those facts we can define the 3 dimensions of time, the relative informative future as systems become warped and evolve in its 3^{rd}, informative age; the relative past of formless energy, and youth, and *the relative present of iteration-reproduction that seems never to change. *And we shall see that this is indeed what all systems do in higher measure.

Thus once more we see that not only absolute time is an integrative concept of many time cycles, but the concepts of past, present and future are also relative perceptions in a Universe in which the sum of all life, informative arrows masterminded by these Points of View, and energetic, devolving, simplifying past arrows of entropic motions become a relative present, eternal reality of multiple systems that reproduce iterations of themselves. And latter we shall see they do so through ‘fractal self-generating, feed-back equations of information’ of which the synoptic one that resumes all of them is E<=>I.

SUPERORGANISMS OF NETWORKS RULED BY POINTS OF VIEW.

*5. Cellular, Social Networks. *

*∞ beings: Whole and parts’ principle.*

Though the specific combinations of energy or information of each species – defined by its ‘vital’ or physical, Universal Constants (energy/information ratios) – might vary, the space-time structures and cycles of all those social organisms will be self-similar: All entities are ‘cellular societies’ organized through energy and information networks that bring about processes of social evolution. In all species studied by science a common phenomenon occurs: the existence of parallel groups of beings organized into a single social form. Molecules are made up of atoms and electronic networks; economies are made up of human workers and consumers that reproduce and test machines, guided by financial networks of information (salaries, prices, costs); galaxies are composed of stars, which orbit rhythmically around a central knot, or black hole of gravitational information. Human bodies are organized by cells, controlled by the nervous, informative system. A tree is a group of leaves, branches and roots connected by a network of energy (salvia) and information (chemical particles). Cultures are made of humans related by verbal, informative laws and economic networks that provide their energy.

Sciences study those organic systems, tied up by networks of energy and information. In the graph, we see the main st-planes studied by human sciences and their 4 main time arrows, S* E*<=>*I,* which in static space give birth to the ‘organic elements’ of all species: social cell of energy and information and the reproductive networks that relate them. Thus, there are 4 basic elements in all organic systems:

1. Cellular units.

2. Networks of energy or vital space.

3. Networks of fractal information.

4. Networks that reproduce energy and information.

All entities are generated by reproductions and transformations of energy and informative cycles (ΣS<=>Ti), organized in cellular units, through networks, and ±st Planes of self-similar forms. Yet, since those cellular units st_{-1} are made of smaller st_{-2} cells, which show the same structure, we can define any organic system as a super-organism (made of smaller, self-similar super-organisms):

*‘A super-organism is a group of cellular super-organisms joined by energetic, informative and reproductive networks.’*

Thus we unify the properties of Universal Systems and the sciences that study them under a single template definition, according to which simple systems and complex organisms will differ only in the degree of ‘completeness’ of its networks and the specific energy or information they are made of:

‘A super-organism is a network composed of a population of (name a particular cell or cycle), related by an energetic, reproductive or informative arrows.

A fractal organism (name an organism) is a population of iterative (name a cellular species), related by informative (name a language or informative force) and energy networks (name a kind of energy), which combine into a reproductive network that iterates the organism.

A universal ecosystem (name a specific ecosystem) is a population of several (name the species), related by informative languages (name their languages or informative forces) and energy networks (name the energies).’

Fill the gaps with a specific species, language/force and energy and you can define any network-organism in the Universe. While if the system is composed of several species that occupy the same space but have different networks of energy and languages of information, we talk of an ecosystem: – An atomic organism is a population of (electronic) energy and (nucleonic) information, related by networks of (gravitational) information and (light) energy.

– A molecular organism is a population of atoms, related by networks of gravitational energy and networks of electromagnetic information (orbitals, London, Waals forces).

– A cellular organism is a population of molecules, related by energetic networks (cytoplasm, membranes, Golgi reticules) and genetic information (DNA-RNA.)

– A human organism is a population of DNA cells, related by networks of genetic, hormonal and nervous information and energy networks (digestive and blood systems).

– An animal ecosystem is a population of different carbon-life species, related by networks of light information and life energy (plants, prey).

– A historic organism or civilization is a population of humans, related by networks of verbal information and networks of carbon-life energy.

– An economic ecosystem is a population of human workers/consumers and machines, related by networks of digital information (money, audiovisual information, science) and energetic networks (roads, electric networks, etc.).

An economic ecosystem differs from a historic organism because they use different languages of information (civilizations use verbal or ethic laws while economic ecosystems use digital prices) and include 2 different species: human beings and machines.

– A galaxy is a population of light stars and gravitational black holes, related by networks of gravitational information and electromagnetic energy.

-A Universe is a population of galaxies joined by networks of dark matter and energy.

We establish thereafter a parameter of multiple space-time scales of growing volume of information, st=i, to classify all those relative scales of spatial energy and temporal information of the Universe, starting by the simplest scales, st=0 (mathematical cycles and lines), st=1 (Gravitational space), st=2 (electromagnetic space), st=3 (atomic particles) and so on, till reaching the most complex, macro-structures of the Universe (st=9, galaxies).

*Cells and emergent scales.*

Most beings are made of self-similar i-1 cells, particles or social individuals, which put together by networks become an i-organism, unit of a higher social i+1-scale.

In the graph, one of the fundamental properties of that structure is emergence. The properties of the simplest system emerge in the more complex. This means the geometrical properties of space-time are shared by all the new scales. The electromagnetic properties of quantum numbers are shared by all atomic species. The biochemistry of cellular life by higher organisms, and the individual behavior of human beings transcend into the socio-cultural behavior of social super-organisms; and our forms and vital functions are also expressed in the world of memes of metal we construct.

Wholes are made of smaller parts, and they interact and influence each other. The key law of those interactions between the cellular and network scale is simple: energy flows from lower i-scales into bigger i+1 scales and information flows from bigger to lower scales. And this paradoxically tends to cause a topic error in all sciences. Since all energy has information and vice versa, but energy bites are more ‘evident’, than smaller, coiled, often invisible or incomprehensible flows of information, scientists tend to overlook this duality or look at those interactions only in the path from the lower scale to the larger one.

For example biologists tend to think that the whole structural information of life beings is stored in its smallish scalar parts, genes. They think the whole, external ambient and organic scales do not influence the genetic parts. This is most likely false, as there should be ‘bigger scales that code information’ in ‘longer genetic codes’ and introns. There are morphological shapes, caused by the emergent properties of simple space-time (so all organisms follow the diffeomorphic dimensions of space-time with information on top, etc.) There is speciation based in the duality of energy and information systems.

There should be imprinting of neuronal networks by the mother emotional networks in the 3^{rd} ‘informative’ phase of development of the foetus. And even there might be a Lamarckian response to external ecosystemic adaptation that might increase the random chances of mutation towards one of those ‘natural directions’ of morphology, as processes of punctuary evolution seem to indicate.

The same error happens among physicists, which are obsessed by entropy only theories (black hole evaporation, negation of the arrow of reproductive, fractal information, which Mehaute proved to happen always, when entropy no longer acts), etc. This is obvious in their obsession for heat solutions and the stubborn denial of the duality of all processes that can be done in ‘Max. E’, energetic, hot ambient and Max. I, informative cold ones – such as the fusion process.

Finally in social sciences, we build social models that stress the individual and not the systems, and superstructures. And yet it is a fact that networks, the whole, always influence its parts. And so many sciences must be completed with the study of that influence from ‘upper scales’ into cellular ones.

*Networks.*

All those morphological differentiations and social elements can be resumed in a word: networks. Social individual systems acquire network forms, shaping forms related to energy or information, or combine them both. And so we find also in all systems a ternary differentiation between cells that become energetic, reproductive or informative networks.

Complementary systems are not ‘point-particles’ but cellular or atomic systems, made of networks of bits or bites of information and energy. Those networks are able to modify its distances and forms changing its topology and for that reason the Universe is dynamic in its transformations.

Because networks are flexible webs of points that can adopt different topologies by modifying the distribution of those points, networks evolve and switch between the 3 topologies of existence, hence creating a complex universe of constant transformations between the 3 functions-forms of the Universe.

Thus all networks = organisms often have two ‘sub-forms’ or states, the coiled, informative, radial or spherical state and the uncoiled, bilateral, anteroposterior, lineal form.

The first state is the informative state and the second the energetic state of motion; as systems are always dynamic flows and transformations between two poles of Energy and form joined by a body of cyclical exchanges between the concave and convex |-O E-I poles.

Thus the answer to the whys of the Universe can be resumed in a word ‘*networks*’ that defines the multiple realities we see around us:

*‘All what exists are organic, fractal systems, made of self-reproductive, complementary, social, topological networks of energy (bodies and fields) and information (heads and particles)’:∑Se<X>∏Ti*

Thus the why of reality is the creation of social networks that become complementary super organisms*.*

*Complex and Simplex arrows: internal networks and external forces.*

In essence organisms have internal parts, attached to ‘external apertures’ called senses that perceive two basic external forces of information and energy, elaborated and distributed to all cells by internal networks. When those external sources of energy and information saturate those internal networks the complex arrows enter in ‘action’. So the excess of energy is imprinted by the excess of information, exi, reproducing a self-similar organism or it is shared with similar individuals, creating ‘bondage’ in herds or complex organisms.

Thus the external forces and actions of perceiving and feeding are fast in time and extend in a wide spatial range, to the point of creating a ‘continuous’ perceptive experience. While the complex arrows are of long duration in time, requiring little space and long time to re=produce its actions.

This is expressed in a law of inverse spatial range and time duration:

i-3 Informative pixels (Max. E x Min.i) = i-2 energy bites (ExI) = i-1 reproductive seed (min. e x Max. i)

This is the case of the forces that ‘express’ those arrows in atoms. Where the external forces of information and energy (gravitational and electromagnetic forces) have a wide range and the internal forces of reproduction and social evolution (strong and weak forces) have little spatial range, specially the weak force which is a ‘Temporal transformation’, not a spatial ‘force’, as it transforms particles in time, evolving them without motion in space.

Thus the Strong and Weak force are the complex ‘inner’ forces of the atom, which play the same role than the complex, inner networks of energy and information (blood and nervous system) of a biological organism.

And they describe reproductive and evolving processes. For example weak forces are the equivalent to other evolving processes like the chrysalis of an insect or the resting moment of pregnancy.

Both type of forces/actions are easy to spot. Since time and space are opposite in properties and so time processes tend to be ternary (with 3 dimensions states, a first more energetic, the reproductive middle event and the final informative one), and last longer in time (the weak force has a time related constant) and hardly have any range in space, but need quiet, small, secluded places (in species evolution this cause allopatric evolution).

*7. The Universal Mandate: Maximize your existence.*

Yet more fascinating than the philosophical argument is the mathematical formalism that explains the structure of those perceptive points, responsible for the general order of all parts and wholes of the Universe- the fractal, non-Euclidean points of the Universe, in mystique terms its souls.

Those points of view that we will define with Non-Euclidean mathematics in the next paragraph, represent the 4^{th} dimension of social evolution and integration of 3 external ‘perpendicular dimensions’ of relative informative height, lineal motion and reproductive width (thought this 2 coordinates often vary, according to the environment and complex structure of the system, the height-dimension of information, which is the first to be established can be found in all systems).

For example, in the human mind, of electronic nature, the central S_{1,2} orbitals form a relative P.O.V. surrounded by 3 y,x,z p orbitals perpendicular to each other. The same structure is repeated in crystals and the NH^{+3} heads of amino acids in the 7.2 alkaline cytoplasm of the cell.

There is always a Point of View (biological jargon) or Non-Euclidean, Fractal point (Mathematical jargon) or ‘soul’ (mystique, existential jargon) that ‘integrates’ thanks to its control of a common language used for the system to code information (geometry in physics, electronic images in biological systems, verbal thought in sociological systems, digital languages in economic systems) the incoming flows of energy and information of the system. What is then the will or purpose of those points of view?

To maximize the function of existence, of its system, the Universal mandate of the program: Max. e x Max. I, which is achieved when E=I (mathematical rule: 5×5>9×1). This mandate of existence means that all p.o.v.s will try to perceive and absorb energy till they have enough to reproduce themselves, and then, they will be ‘forced’ to evolve socially in a dense environment of self-similar cells to survive.

In other words, the Universe is an infinite game of orgasms (-: Reproduction is the game.

∑: interactions and actions of all beings follow a pattern, of self-repetitive cycles, performed by each entity in a discontinuous cyclical manner, as the entity switches its modular ‘ego’ trying to maximize those 4 actions of existence, which is achieved mathematically for E=I, at ExI (Action of reproduction). The ego thus will have in any plane of existence a simple function to perform: Max E x I = K. For each domain of reality we defined therefore the field of an Ego-existence as, the function of God:

Max. E x I = K, which is maximized at points e=I, and max.I, which becomes the two first arrows of reality. The first one is called the arrow of space, energy, formless as both points equal, but the second function is a quantized function, which means the creation of more fractal information is the second arrow that maximizes the function of existence.

Once the function of existence of any plane of points of view that create linguistic worlds of truth is understood, you are into logic at the finest: The logic of existence, evolution and extinction, of the phases of the infinite cyclical actions its species perform.

* *

*The Bosonic point.*

The creation of a bosonic zero point is the easiest form of maximizing the function of existence. This can be proved topologically and experimentally. The point is a Max.I, which strives to balance E=I, to create a max. ExI existential function for the whole EX I triple topological entity. This might be perceived as humans do with the perception of beauty (Max. I, i=e) and happiness (Max. E, i=e), which might be the ultimate will and sensations that resume the universal mandate.

Herds of undistinguishable bosons are also essential in the creation of membranes. They are also essential in parallel flows of bits and bites of information and energy transiting within or between planes of existence in the toroidal forms. Thus the creation of bosonic wholes from individual herds is key in the 3 type of networks that assembly together in functions of existence, E<=>I.

In the scale of particles all are bosons in the proper conditions, becoming undistinguishable. The result is the formation of a single new, condensed plane of existence to which each bosonic particle gives part of its existential momentum, creating a new fractal form, combination of the topological points fusion into the new form. The median of each S-T values for each individual field of energy and information create together a new topology that looks like a single one, as it has become either a toroid, sphere or hyperbolic new whole.

The system integration happens in all kind of forms, from neuronal integration to cpus and gravitational fields of multiple bodies: An internal zero point once formed calculates easily from its p.o.v. the forces of energy that pass through it, ‘subconsciously’ as it creates a pixelled image to perceive.

*The duality of eusocial parallel love vs. Darwinian, destructive hunting.*

All systems of the universe display a dual behavior: they prey on other systems to absorb their energy and information for their bodies and minds and they evolve eusocially with members of the same species to reproduce and become bigger, more complex eusocial super organisms, sharing energy and information through common networks that create a new whole made of cellular parts.

It is the duality of the arrows of love and hate. Yet the arrow of love is a better strategy as it is the arrow of creation that the arrow of death and hate.

So we can describe the universe under the arrow of love, as a whole whose parts are all made to its image and likeness guided by the laws of all cellular systems who strive to survive by evolving eusocially to become a cellular part of that whole.

The duality expresses geometrically in the first scale as parallelism (love, flow of information invisible to third observer, separates at equal distances, two self-similar beings, who share energy and information along a small gap between them, this might lead to ‘fusion love’ the beginning of reproduction, when the number of self-similar, lower scales of existence of the couple in lower scales and higher ones is maximized. Then we find a quantization factor, ∑∑=∏ as the two polar species who have attracted each other, start to develop through its complex arrows of reproduction and love, more perpendicular networks of causalities that join its lower and higher planes of existence, with other forces and membranes that make the informative field of fractal information caused by the frequency an regularity of their get together arrows of shared experience…

From the first electrons that merge in spin/anti-spin sexuality till the last human being, this function is essential to complete the equation of existence, as informative ‘networks’ ∏ are stronger than mere, herds, ∑, which are connected only in the evident, i-plane of existence, while they perform their arrow. Herds follow the search for an arrow normally energy, sometimes information, but when information is what it is transferred, herds tend to evolve in networks in which there are causal memories that chain the system to other systems, neuronal networks of white matter in neurons and brains, electromagnetic cables in machines of information, etc. So we write:

∑^{i}=∏, where i is the number of scales across which the network of information exists and controls with its bits and networks. Thus we write the equation of a complex organism as:

∑E_{i}<=>∏T_{i±1}= ∑ | x ∑^{i±1} O

The second notation is visual, geometric, as the universe is indeed a game of topologies in action, where the lineal, planar form of energy limbs/fields are ordered internally by mixed fields, X, guided by an informative head of bits of information that form both an internal language of control of the body/field and an external sensorial absorption of external information.

*Evol-Devol. The cycle of life and death and the causality inferred by zero points.*

The point of view or zero point that creates a ‘mind’, a fleeting stillness in the flows of energy that converge on it, is the knot that shows the will or at least calculates, integrates the flows of energy and information creating solutions to the synchronicity of flows and opportunities tending to follow the mandate of existence. The zero points seem to have the will to accomplish the mathematical solutions for forces and masses to follow the principle of minimal action. The zero point commits little errors it is intelligent it seems to have embedded the program. How the program evolves, invaginating first a sphere that reproduces and becomes a torus with a first ‘feeding axis’, which finds the central cells, more sensitive, and soon evolving into more complex informative networks, how those networks invaginate the body and communicate the inner and outer sides of the hemisphere and sphere (convex and concave topologies), etc. can be explained with the science of topology the why, the constant creation of cycles of life and wills and knots of time that want to order committing actions that maximize its function of existence, requires to fly further with your own will and empathize with the will fo all tknots of time cycles of the Universe.

All those individual, internal and external sub-scycles of a being are finally, disitilled once more by a new translation of the flows to a ‘alanguage’, in the human brain from chemical impulses and messages of hormonal chacater of ther est of the body. And all that appears as emotions and other neuronal fiels of electric energgy resumed in the mapping of perception of the mind, combined with the external mapping, with the 3 key mappings of the human brain (the verbal axis,s visual axis and emotional axis, z-x-y…, which reflects its maximal activities of energy and information)

The integration once and again of the will of each scale into new networks and the formation once and again of the same scales of reality deprting of the smaller, the printing an reprinting of reality – that is the intend,e huse, constant never stopping, in a universe of motions, game of realty.

The stillness of a zero point is a silent moennt of perception and the essence of the orgasm of a mind in peace with it all, ampped all it, and fluxed all it as lights of inner beauty to the hardware that the software runs with pleasure fields… the zero point seems to bee effortless but it is the final prouct of a a trillizon or zillion years of evolution of the game in its search for the ideal form.

And what you see what you perceive, whaat you undersands as beauty is the sensations of the fulfillment in balance of exi-k, your energy and infroamtion actions, forms and energies in balance is beauty and beaity is the state of the mind of full accomplishment of once thoughts and actions. In this manner in each being, in each language in each mind there will be a point of nivtante, in each insect orstar robot or human mind, mirror of beauty of a satisfying exi=K existence is balances… that is the art of existence, which all particles practices each in its own language.

*RECAP. *The 4-dimensional Universe is a simple game of 3 topologies of space, which correspond to 3 functions in time, the energetic, spatial, concave, spherical or planar membrane; the reproductive, cyclical, toroidal body; and the hyperbolic, warped, informative, still center of perception.

This simple a priori limited structure can adapt infinite self-similar forms as each ternary function absorbs energy that transforms in still perception or reproductive, self-similar clones of one self. Two primordial forms, the lineal, bilateral system or the cyclical, spherical seed are the most common of the Universe. Some forms might even switch between both states. Yet the 4 actions and 3 topologies and 3 ‘ages’ of dominance of one or other function and form remain in all systems that go from energetic young stages into informative ones.

All those simple similarities allow us to define a general system of simple equations that represent with topological symbols the causal and dynamic processes and events between the different parts of a ternary system and the system and the external Universe.

A new methodology and language, more advanced that the simple Aristotelian unicausal logic and Euclidean mathematics is needed; a new philosophy of science – organicism – and an emphasis in the qualities more than the quantities, in geometry more than arithmetic, in time functions more than spatial structures, in harmony and balance and feed-back, dual flows of causality more than in individual, entropy –based mechanist, digital, abstract models of reality. Let us consider this new method of knowledge to extract of the information relevant to the complex structure of its real systems.

It is this wave combination, that maximises the reproduction, evolution and perception of the being in balance with its external world (s=t), what we call the function of existence of the being. The logic we use here,the terminology, the search for a metaphor that relates the words of english with the equations of the fractal Universe is somehow magic, maybe embedded in the genetic linguistics but in any case, what we talk here is a body-wave which is a function that maximises the energy and information of the being, and its product combination (Max. e x i), which happens for any ‘product’ (5×5>7×3) when e≈i, that is the spatial energy and temporal information of the being is equal (s=t):

The methodology of ∆ST is simple. Reality is made of space-time beings, which are in full description of all its information a super organism with 3 topological organs in space, which perform 3 temporal functions, symmetric to their form (past-lineal entropy limbs/fields, cyclical informative heads/particles and iterative, hyperbolic wave-bodies). Such is the basis of the generator equation of space-time, which resumes the 3 x 3 symmetries of all beings:

The universe and its Fractal generator can be described as a game of 3 symmetries:

- The simplest symmetry of synchronic 3 topologies of all organs of space.
- The symmetry of those 3 organs in function in time, which dominate each of the 3 ages of life.
- The symmetry along the 5th dimension of ∆-1 parts that become ∆-wholes, emerging into a bigger ∆+1 world, where those 3 organs of space, perform its 3 ages as a world cycle of time, co-existing in 3 relative scales of the 5th dimension.
- Yet when we see the system as a whole, sustained by a O-mind/point of view, we can see the system as a series of smaller cyclical space-time actions that dynamically through those 3 organs in space-time exchange energy and information with other systems, performing a series of actions, which define the nature of the being as an existential discrete function of exchange of energy and information with its ∆+1 world:

It is then clear that the simplest ceteris paribus analysis is that of the 3 organs of space, in a single space-time plane and with a single arrow of time, entropy.

*It is the present understanding of physical sciences, which by the principle of correspondence is the simplest limit of a Universe in which we consider only a single arrow of time, entropy and a single **plane of the 5th dimension.*

Yet, the next degree of understanding of the Universe, is to realise that those 3 organs of space, the lineal, energetic limbs/fields, the informative head/particles and the combined, St(exi) Hyperbolic body-waves, when seeing in motion in each fractal being, determine a relative arrow of time-future, that is a relative path the system will follow. If it uses the limb/field it will increase the overall entropy of the system, if it uses the head/particle it will likely absorb information, and if it uses the wave/body it will reproduce its form as the wave displaces or in the future as the body repeats its energy and information.

So the next symmetry is that of time. And we can build as taoists did, a worldview of reality that includes the organs of space and time ages/cycles of all beings, which tend to be dominated by limbs/fields in its youth, then reproduce and finally exhaust in its 3rd age of information, its energy, warping till they explode back into entropy and die.

But a final symmetry happens when we realise those processes of birth and existence do happen in 3 scales, as we are born as seeds of the lower scale of size, ∆-1, with a faster time clock and then emerge after a long process of reproduction and formal evolution into the ∆-scale, which will be a full being, exchanging energy and information with a larger ∆+1 world. So the 3rd symmetry of reality is that of the planes of existence of the 5th dimension.

*7. Emergence and the scalar Universe. **The 3 fractal scales of all systems.*

The network structure of all systems and its complex arrows of reproduction and social evolution show a key property of the Universe, its scalar, fractal scale. As when the first cell is born, it feeds, reproduces, evolves socially and creates finally a new superorganism or whole of the new scale, a human being, which is born as a new unit of a social superorganism, nation or civilization. This happens also in physical systems: social particles become atoms that become molecules that either become cells that become organisms that become societies or become planets and social stars that become galaxies that become Universes. Two laws of all systems derive from the scalar, emergent nature of the wholes:

All systems share the properties of their lower scales that emerge in the higher scales of existence of the system. Thus the geometric properties of space-time are shared by all its upper, more complex scales; the electromagnetic properties of quantum numbers are shared by all atomic species; the biochemistry of cellular life by higher organisms, and the individual behaviour of human beings transcend into the socio-cultural behaviour of social super-organisms; and our forms and vital functions are also expressed in the world of memes of metal we construct.

– All systems co-exist in 3 scales of reality:

The lower scale, which provides the bites and bits of energy and information the body, limbs and head of the system need to survive. This is the lower i-2 scale of the system. It is the scale of particles of information and forces of energy in the physical scale – for example, quantum numbers in an electron; the genetic scale of informative genes and carbohydrate molecules of energy in biological organisms and the memetic scale of instruments and ideological ‘neuronal networks’ in sociological organisms (memes of life or ‘human goods’ of the welfare state in human superorganisms; and memes of metal in economic ecosystems).

The i-1 intermediate scale, of atoms made of informative quarks and energetic electrons’ the biological scale of cells and the human scale of individuals in sociological organisms of history and corporations, the ‘free citizens’ of markets in economical organisms.

The i-upper scale of the Whole, molecular systems in physical organisms (of the size of entire planets sometimes), the scale of living organisms in biology and the scale of human cultures and economic ecosystems (markets) in sociological organisms. The reader could observe that the whole of biological organisms (humans) becomes in fact the i-1 scale of sociological organisms. So each 3 scales we can consider a ‘new game’ of emergence. And in fact the Universe is a scalar of infinite scales, as we can observe that the scale of galaxies is self-similar to the scale of atoms in many equations (black holes can be modeled as quark stars and star nebulae can be modeled as electronic nebulae; in fact Einstein modeled the Universe considering each galaxy a hydrogen atom).

The laws of emergence relate the different scales of reality and its functions. One subset of emergence laws is the laws of transcendence. How the arrows of the i-1 scale of ‘cellular’ existence transcend as bits and bites of information and energy of the next scale. The general rule is the following:

– Arrow of reproduction of the lower scale-> Arrow of energy of the next scale. That is, the reproduction of entities of i-1 provides the ‘staple food’ of the next scale.

– Arrow of social evolution of the lower scale-> Arrow of in/form/ation or form of the upper scale. That is, the social evolution of an entity of i-1 tends to happen when that entity enters the structural form of the upper scale.

For example, the 3^{rd} quantum number, or magnetic number of social evolution of electrons is the key number to explain the form of complex molecular orbitals. The reproductive wave of photons and its speed becomes the feeding arrow of electrons that jump to absorb them.

The reproduction of cells structures the form of organisms. The reproduction of carbohydrates feeds the cell; the social evolution of amino acids in proteins and proteins and fats structures the form of cellular membranes. And so on:

Re_{i-1 }-> E_{i }; Social Evolution (∑_{i-1}) -> Structural form (I_{i}).

*The seven dimensions/scales of any system.*

Shakespeare said we were all heroes or buffoons, depending on our perspective from above and from bellow. The paradox of the ego consists in the incapacity of humans to perceive the ‘above’ structures, which are ‘disconnected’ apparently because the networks of information that join them are invisible (so we do not see the networks of words that communicate us, or the flows of money that cre(dit)ate the economic system). So as we only perceive the smaller scales in detail as ‘wholes’ we feel like heroes.

In fact, if we consider for each ‘relative universe/superorganism’ a relative i-scale centered in the individual p.o.v. each system can be considered to exist between ‘7 scales of perception’ with clearly different roles:

There are scales at i-n that we do not perceive at all. It is the ‘nothingness’, in our case the gravitational space.

Then it comes the i-3 scale of pixels of minimal size that we use as information. In humans it is the light, and electronic space.

Then it comes the i-2 scale that we feed on. It is the atomic, amino acid, molecular space.

Next it comes the i-1 scale of our seed. It is the cellular scale.

Then it comes our scale of social evolution, or i. It is the human social scale.

But beyond we are for the higher scales exactly all what we perceive below. So we are sons of the next scale, which for any species will be called the generator.

We are food, energy for the next scale that we call the predator. In cultures, we are prey of those who exploit us as workers under salaries, citizens under laws, military… the people-castes of our society.

We are finally perceived as a mere pixel, a number, a poll vote, by the ‘system’, the whole social organism in which we exist for whom we are just an objective point of a whole.

And beyond there is of course God, the last scale, unperceived, the Laws of all systems, that explain all super-organisms, not only the social one we exist in.

Thus from our point of view, we are the most important point of the Universe, and all what we see is below us, our relative energy. Yet we exist between 9 scales, two invisible, 3 under us, 3 over us, and we, in the middle:

The scale of nothingness, the scale of bits, the scale of bites, the scale of seeds, the scale of Is, the scale of the generator, the scale of the predator, the scale of the ‘system’ and the scale of God. And this is truth for all systems and species. Because information occupies no space, lasts longer in time and all systems evolves towards those informative super organic scales, those facts leads to the 9^{th} point, the relative dimensions of past, present and future.

The easiest question is here: how much of the external Universe the function ∏Oi, absorbs/perceives? The simplest of them, a pi circle, of 3.14-3 =0.14 apertures through its ternary membrane, is a paradigmatic, basic ‘function of existence’, and represents a 96% of ‘dark matter’ not perceived by the system, Curiously is the same than it is left in dark to the electronic image we perceive of the Universe (dark matter of the universe) Thus we could consider the electro-magnetic mind of a human being, to be in its ultimate, simplest structure of perception, the photon, limited to a possible ‘light, final structure of a pi 3-dimensional cyclical ‘worm’ like photonic H-Planck ‘snake’ that as it traces its 3-dimensional balls of electromagnetism, absorbed from the prior, dark matter universe of gravitational, scalar field (short of a Higgs, with improved equations), brings about the first jump from ‘nothingness’ to the first scale of perception.

But what is the nothingness, not perceived, the perfect form not perceived, the 0 x ∞ = K.

The limits of each perception of each knot of cyclical actions of the Universe.

Thus, the scales and species we observe between ‘nothingness’ (∞ E x 0 I) and ‘God’, (∞ I x 0 E) are:

1^{st} scale: Euclidean Light-space-time and Non-Euclidean Gravitational space-time. They are the Energetic-Informative duality of space-times in which our reality is built.

2^{nd} scale: Fundamental particles; energetic electrons, fractals of photons; and informative quarks, dominant in gravitational forces.

3^{rd} scale: Atoms.

And so these 3 scales form together the simplest superorganisms of reality, the atom.

Then we start again, with atoms as the basic i-1 element of the new ternary superorganism:

3^{rd} scale: Atoms.

4^{th} scale: Molecules & Matter (states: energetic gas, balanced liquid, informative solid).

5^{th} scale: Planets & stars.

This ‘energetic version’ of atomic structures has its duality with the informative version, life:

Life: 3^{rd} scale: Atoms; 4^{th} scale: Molecules; 5^{th} scale: Cells.

And so we start a new ternary system through 3 more scales:

5^{th} scale: Planets & stars; 6^{th} scale: Solar systems; 7^{th} scale: Galaxies.

Life: 5^{th} scale: cells; 6^{th} scale: tissues; 7^{th} scale: Organisms.

And finally we arrive to the last scalar structures:

7^{th} scale: Galaxies; 8^{th} scale: Clusters; 9^{th} scale: Universes.

Life: 7^{th} scale: Memes; 8^{th} scale: Humans; 9^{th} scale: History.

Now the reader would observe that this classification of scales differs from the one of the graphic, as we stretch further the structure of living organisms. The point is that each scale can be divided in 3 scales, as all points are complex superorganisms. So descriptions might vary from 1 to 3 to 9 scales depending on detail and in this book we shall analyze in more detail life beings. Some obvious facts though of the previous scales: the i-1 and i+1 scales are ‘complete’ systems, tending to spherical, still, informative shapes and the intermediate scale is the more ‘active’ complex organism. So photons and atoms have the active intermediate scale of particles. Between atoms and planets we have the active intermediate state of states of matter. Between atoms and cells, the molecular active scale. Between cells and organisms, the active tissue-organs scale; between human’ heads’ and history the memetic scale.

This is the relative i-scale in which the entity that in the chain of scales might be just a ‘bite or bit’ i-1 form and an i+1 whole, works more and interacts, ‘lives’… To notice also that all systems are part of a chain, or as Shakespeare put it, we are all Gods, humans and buffoons depending on the perspective.

IF WE AD the whole as a mind-point which organises and perceives and guides to survival the system, then we have the 10 Isomorphisms of the being…

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

The mind of a living or any organic form of the Universe is the ‘mysterious’ definitive engine of order of the Universe, by switching in actions of survival according to a clear program that maximises the energy and information of the system:

Max. Energy-body x Max. Information-Mind becomes a selected top predator ‘Program of cyclical actions’, which the mind performs.

So the mind normally is a knot of Maximal Information, which perceives a territory of order, where it will exist according to its mapping, WHICH IN LIFE SYSTEMS IS TERNARY, CHEMICAL FOR PERCEPTION OF ENERGY FLOWS, SOUND FOR AND LIGHT FOR PERCEPTION OF information.

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

*‘Gods are unmovable, the primary cause which moves the energy of its vital space’. ‘**We are all Gods.’ *Aristotle* *on the mind.

*‘Each point is a world in itself.’ *Leibniz, on the Monad, mind of space-time.

*‘Space is motion relative to a frame of reference.*‘ Einstein on the Non-Euclidean point of space-time.

We start with 3 precise, logic, philosophical and mathematical definitions of the fractal point-mind, the minimal unit of existence in the fractal organic 5Dimensional Universe.

When we consider the minimum possible form in existence, the simplest action of reality IS not motion, but perception. This might come as a surprise to pseudo-scientists who uphold some magic properties to the creation of linguistic mirrors of the Universe – Leibniz’s concept of apperception, and the minimal mathematical unit of the fractal reality – the NON-euclidean point that grows in size when we come closer to it, and bends the lineal entropic motions of a field of energy into curved forms, ‘bits of information’, which shrink without deformation (Poincare Conjecture) creating mirror-mappings of reality.

So the first moment of existence was a point that became a focus of a flow of cyclical motions, which focused in an infinitesimal mapping, synchronous, in stillness created a ‘quanta of perception’, a mapping of information a…

**….mind-point of view of the fractal Universe.**

In the graph, we illustrate the fundamental particle of the Universe, a point-mind, which gauges information and creates a still image of reality, communicating in networks with other fractal Non-euclidean points flows of energy and information, building in this manner larger topological networks, whose growth and social evolution makes them emerge as new wholes, of a larger ∆+1 plane of the 5th dimension. We shall study with the tools of Non-Æ geometry such fractal points, to start the adventure of knowing how the Universe creates itself and all its parts, departing from those minds and their will of existence, as points that feed-feel pleasure absorbing energy in motion and perceive-gauge information, in stillness.

So when we consider the possible actions of a Universe of energy and information, which are deployed by any system in search of survival, it seems rational to think that systems, as we do first ‘perceive’, and then observe the fields of energy that they need to survive, so they move in order to reach them and feed, and only then when they have enough supply of energy will use it to reproduce, to communicate information and form networks with other beings. So we consider the following cycles of actions, departing from the first action that creates a shrinking point mirror of perception:

+∆i: perceiving information->-∆e: locomotion ->+∆e: feeding -> – ∆i: communicating information ->∆e x i : (∆œ) reproducing -> û: evolving socially.

So all what we know and exists departs from a first passive action: opening our senses and eyes to perception, from the simplest photon of light, to the largest black hole of the galaxy.

It is then the first step to found a general systems sciences of all the systems of the Universe, to define and improve our mathematical and logic truths, needed to describe those first fractal Non-Euclidean points of view, which opening its form to a simpler field of motion start to web the networks of in-form-ation of reality, as monads that first perceive and only then ∆a-ccelerate towards ∆-e-nergy fields in which to feed.

**Summary. Œ Points.**

Fractal points – the fundamental particle

i-logic Mathematics, the language of fractal space-time.

Waves of Fractal points

Planes of Fractal points

The similarity postulate

The 5th postulate: angles of perception

**FRACTAL POINTS. THE FUNDAMENTAL PARTICLE**

**Knots of Time cycles: the fundamental particle.**

Once we have studied the minimal units of the Universe, the action of space-time, we shall define the main structural, architectonical element of reality, the knots of time cycles, existential points, œ, which perform those actions of existence, site of will and perception of the Universe – whose simplest definitions in philosophy are the monad of Leibniz, the mind of Descartes, the God of Aristotle, and in mathematics, a Non-Euclidean point, the unit of Einstein’s gravitational laws.

Systems are knots of time cycles of exchanges of energy and information with its space and time parts, Œ, which allow them to survive in the Universe.

Thus the first ‘stable structure of reality’, is a knot of time cycle which swiftly goes webbing around the paths of its exchanges of energy and information, ∆±exi, actions, its survival strategies, trying to maximise its existence, Max. ExI, in a state of perpetual balance, E=I…

This dance of being and not being is performed by each Œ, knot-function of existence, defined both as an infinitesimal point from its upper perspective and an an absolute whole from its lower plane, since all knots of times space cycles web their existences through several of such plane.

**Minds transform cyclical motions of space into still in-form-ative mappings. A**** Universe of communicative Monads.**

Those frequent repetitions of formal cycles carry the information of the Universe and its scientific laws (which are the knowledge of those repetitive patterns projected into the future). They allow the focus of those space-time cycles, ‘or Non-Euclidean point’ to mirror into a reduced still image, called a mind, the ∞ timespace cycles of the Universe.

Each mind though is a ‘world’ in itself:

*Œ. **Œ-point (Non-Euclidean point) x ∞ Space-time cycles (Universe)=Still Linguistic mapping (world)*

*In the graph, each Non-E Point is a relative world, as finite parallels which are curved time cycles cross it. The mind of man, is crossed by light, so as Kant understood it is Euclidean, with 3 dimensions of relative light space-time, the perpendicular magnetic, electric and c-speed vectors. But other minds can see different worlds. Gravitational Minds see it curved as Einstein’s relativity equations show. *

The existence of infinite minds which construct different worlds, such as the electronic 3-dimensional world derived of light perception of man, different from an olfactory world or a gravitational, black hole world, was testified by Descartes, who considered the euclidean view, merely the human view. He would also establish the lineal space and cyclical vortex of time, the 2 forms of reality, made of res extensa and informative time.

This was the merit of Descartes, the true founder of modern science, which we have upgraded to our ternary analysis of all systems of the Universe, in what we shall call, T.Œ, the Theory of the Organic Everything, as all those ternary systems made of cyclical times, lineal spaces and self-centered territorial points of view that organize them, will show clear ‘organic patterns in its form and actions.

We thus define in this post the logic postulates of non AE (non-Aristotelian, Euclidean geometry), and its Œ functions of existence departing from the first postulate of mathematics:

A point is a system of energy and information, perceived as an infinitesimal from a higher plane of existence.

In the beginning there was an observer, a focus point that let itself cross by infinite parallels and perceived a mapping of the Universe.

The infinitesimal point, O, saw the infinite Universe, ∞, and created a constant mapping of it, O x ∞ = Constant, in the stillness of the mind.

The point, the Observer the measure is the first action that starts any activity in reality. Prior to motion towards a field of energy or information that interest us or away from it, the point must perceive it. And for that to be possible, the point must have parts, an informative mind –like capacity to gauge information, and rotational motion to change the angle of view.

The point thus have to have angular momentum, the minimal unit observable in the Universe, the h action, a point of view a momentum moving and a radius of distance.

The fundamental Unit of the fractal universe thus is also a point that makes up an absolute space-time, but such points unlike Euclidean classic points of mathematics are fractal non-Euclidean points, which have breath, hence are cycles, the minimal unit of the Universe a time cycle, seen in statics as a cyclical point, dynamically as an attractive point-particle in a static position or a particle with momentum, neutral to a background universe.

Reality is made of symmetries of the 3 motions of time and its infinitesimal, step by step view as spatial forms. This interaction carries to all spheres of reality expressing itself as many different dualities.

We thus can obtain always a still spatial vision or dimensional vision and a dynamic, motion vision of temporal vision and all mathematical equations in geometry of points can be perceived as motion equations, of dynamic differential equations.

We are talking thus of temporal algebra and spatial geometry, of Æ and Œ, as the 2 branches of the i-logic geometry of fractal points that constructs the still spatial forms and membranes we perceive as static presents, and how they web with the entropic, vibratory and vortex motions of the 3 dimensions of time.

We call a knot of such space-time cyclical actions an Œ function of existence. It is perceived as a fractal point which rows in size as we come closer to it, till we observe its two parts, the vortex of cyclical time, Tƒ and the flows of lineal entropy, E, which come out of its present, most evident body-wave part with its combined energy and information parts.

This Function of Existence will be seen in time as a series of sequential motions, physical momentums in which the Œ particle becomes the active magnitude that exchanges energy and information with the outer, larger world.

Its description as it transits and leaves a memorial reflection of its motions in the form of space distances, conforms the description of the existence of any being which goes into a sequential order of absorption and emissions of energy (feeding and moving) and information (perceiving and reproducing), through which it creates more stable sequential dual action-reaction fields of density with other similar cloned Œ which will become networks and parts of synchronic super organisms. In this manner forms evolve into social wholes and create in this process the 5th dimension or arrow of ‘long time’, in which parts are relative pasts of future forms, which from the larger pov command their existence.

Infinite of such points exchanges energy and information in infinite scales is the departing point of any scale of realty to understand how it builds above and below itself ±∆ superorganisms.

**The formalism of i-logic mathematics.**

Now we must upgrade the 3 elements of mathematics to the new definition of space-time.

__informative Analysis__ understood philosophically as the expression of the laws of the wholes and parts of the 5th dimension based in the arrow of information, which we must add to the arrow of entropy studied by physics. Thus analysis as expression of the laws on how informative, infinitesimals integrate into i-points of existence, Œ… is the first field and main field of 5D metric.

__Time Algebra, must be moved to Existential Algebra with more time motions.__

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.

Euclidean Geometry must be upgraded to __Non-Euclidean i-logic geometry__ which includes time algebra in its logic demonstrations, where each point is a world in itself, a fractal point crossed by infinite parallels, which can be seen in the 5 states of existence of time algebra, and defined with 5 different Non-Euclidean postulates (Fractal points, line-waves, topological-planes, laws of self-similarity, and perceptive laws of spatial creation of forms).

We call the sum of the Non-Euclidean Geometry, Non-Aristotelian Logic, and informative analysis, the formalism of i-logic mathematics. and dedicate a entire section of the web to it. Now the wording of i-mathematics is obvious, it stands for ‘i-logic mathematics’, which studies 5Di metric of information, the non-Aristotelian logic and Non Euclidean geometry, hence Non-AE=i-mathematics of it. Whereas i comes after A and E.

Of the 5 actions of reality, ∂a,e,i,o,u, we do indeed study in depth the i-o-u of reality, information observer’s perception and universal creation beyond the usual study of the Accelerations and energies of it.

Let us start studying themes of Non-E, since those are the ones that interest us in the study of Œ-points:

**PERCEPTION. A UNIVERSE OF INFINITE ‘DIMENSIONAL WORLD-MINDS’**

The Universe can be perfectly understood when the human mind and its subjective vision of reality from the perspective of its limited ‘Aristotelian’ and ‘Euclidean’, logic, (temporal and visual, spatial perception of the human mind) is considered only one of the infinite points of view, performed by particles and heads that gauge information, move ‘—motions’ and constantly create the events of the universe. Each of those particles and heads create its own perspective and mind view, or mapping of the Universe to which they act-react accordingly.

The fundamental particle of the Universe is not a physical form but a logic particle: a knot of time arrows, which in any scale of reality, from physical particles (quantum knots of ‘—motions’ and information) to biology (knots=networks that absorb ‘—motions’, information and reproduce and evolve into bigger knots) act under a single mandate: to maximize those time arrows, a fact that we formalize with an equation, the function of Existence: Max. ∑SxT; which is the fundamental function of both, logic and mathematical languages. In the graph, all such points of view, will define a system of relative perpendicular coordinates, through which it will enact its time arrows, departing from a central knot of information.

**Geometry of Multiple Spaces-Times: fractal creation.**

Reality is made of entities that are knots of Time Arrows constantly tying themselves up with other knots of Time Arrows, forming networks in different scales of existence, evolving as complementary organisms of ‘—motions’ and information. And the question that science asks next is how to formalize that game of existence, its knots of Time Arrows or ‘entities of reality’, its fluxes of ‘—motions’ and information, its reproductive flows, herds and motions; its complementary networks of ‘—motions’ and form that create super-organisms. And the answer is, as all models of science with its primary languages of space, mathematics, and time, causal logic, albeit more complex than the logic developed by the Greeks to explain a simpler Universe.

In this new Non-Euclidean topology, planes are networks of knots of Time Arrows; and those knots of Time Arrows, the beings of reality are ‘Non-Euclidean points’ with a volume, or ‘organs’ that transform back and forth ‘—motions’ into information, creating reality.

All what you see becomes then a game of knots of Time Arrows, or ‘Non-Euclidean fractal points’, connecting themselves to other knots, forming complex planes, networks of points of two types, networks of energetic points (herds in motion) and networks of informative points (still networks). In any scale of reality those networks of points, which are knots of Time Arrows take place. The simplest scales of atoms can be described as such networks, but also the human scale. Consider a meeting: a series of human heads, moved by a lineal limb will start to share ‘—motions’ and form by producing waves of smaller ‘particles’ (sounds), and acquire a cyclical geometry as they create an event of information.

The Universe is a self-similar reality of infinite processes of creation and dissolution of networks made of knots=points of arrows of ‘—motions’ and information; and the best instruments to analyze it are the languages of the mind. In that sense, humans, before clocks reduced our conception of time to a single arrow and language, were guided by psychological time, which is our inner perception of our time cycles and drives of existence – our desire to perceive, inform, reproduce and evolve socially. So we lived according to our cycles of ‘—motions’ (feeding hours), reproduction (family cycles), and social evolution (religious and cultural activities). And followed the cycles of the seasons of this planet, according to which all living species calculated its reproductive cycles.

*Recap*: The universe is a game of creation and destruction of networks of fractal knots of time cycles=st-points.

**Fractal points: the fundamental particle**

Mathematics, as a language that represents reality with simplified symbols, has a limited capacity to carry information. Its symbols, geometric points and numbers simplify and integrate the fractal, discontinuous reality into a single space-time continuum, the Cartesian Space/Time graph, made of points without breath.

However the points of a Cartesian plane or the numbers of an equation are only a linguistic representation of a complex Universe made of discontinuous points with an ‘internal content of space-time’. In the real world, we are all pieces made of fractal cellular points that occupy spaces, move and last a certain time. When we translate those space-time systems into Euclidean, abstract, mathematical ‘numbers’, we make them mere points of geometry void of all content. But when we look in detail at the real beings of the Universe, all points/number have inner energetic and informative volume, as the fractal geometry of the Universe *suddenly increases the detail of the cell, atom or far away star into a complex complementary entity*.

So we propose a new Geometrical Unit – the fractal, Non-Euclidean point with space-time parts, which Einstein partially used to describe gravitational space-time. Yet Einstein missed the ‘fractal interpretation’ of Non-Euclidean geometry we shall bring here, as Fractal structures extending in several planes of space-time were unknown till the 1970s. So Einstein did not interpret those points, which had volume, because infinite parallels of ‘forces of ‘—motions’ and information’ could cross them, as points, which when enlarged could fit those parallels, but as points in which parallels ‘curved’ converging into the point.

This however is not meaningful, because if such is the case parallels which are by definition ‘straight lines’, stop being parallels. So we must consider that what Einstein proved using Non-Euclidean points to explain the structure of space-time is its fractal nature: points seem *not* to have breath and fit only a parallel, but when we enlarge the point, we see it is in fact self-similar to much bigger points, as when we enlarge a fractal we see in fact self-similar structures to the macro-structures we see with the naked eye.

That is in essence the meaning of Fractal Non-Euclidean geometry: a geometry of multiple ‘membranes of space-time’ that grow in size, detail and content when we come closer to them, becoming ‘Non-Euclidean, fractal points’ with breath and a content of ‘—motions’ and information that defines them.

Einstein found that gravitational Space-Time did not follow the 5th Euclidean Postulate, which says:

*Through a point external to a line there is only 1 parallel*

*E*uclid affirmed that through a point external to a parallel only another parallel line could be traced, since the point didn’t have a volume that could be crossed by more lines:

*Abstract, continuous, one-dimensional point:*

**. ____________**

Instead Einstein found that the space-time of the Universe followed a Non-Euclidean 5th Postulate:

*A point external to a line is crossed by *∞ *parallel forces.*

* Real, discontinuous, ∆-dimensional points: ***===========** **o**

In our definition of the fundamental particle, the fractal point of view, we must for shake of rigor, bring about basic foundation concepts of mathematics to introduce the ‘Holographic principle’ of a Universe where the *3rd dimension of space-time, is made by the accumulation of bidimensional membranes, as you are made with ‘membranes’ of skins, membranes of layers of cells.*

To understand this so-called holographic principle, however we must also introduce first the concept of a Non-Euclidean, Fractal point the so-long needed ‘definition’ of the 1st postulate of non-Euclidean geometry, similar to the 5th, which affirms that:

‘All points have breath, they are spherical topologies that include within themselves a volume of spatial energy and temporal information, which becomes ‘evident’ the closer to come to them’.

Non-Euclidean points were philosophically described by Leibniz in his Monadology. They appeared first in science in the incomplete work of Mr. Einstein, regarding the Non-Euclidean structure of space-time.

There are 2 interpretations of this fact. We could consider that lines are curves, thus Non-E points are focus of multiple forces that bend to flow into the point. This is Mr. Einstein’s preferred solution that defined a curved space-time. Yet Mr. Einstein’s solution brings 2 logic contradictions: Lines stop to be lines and become curves, and still those curves have to become fusion into one as they approach the point. A second, more logical conclusion determines that the 5th postulate can only be truth if a real point has an inner space-time volume through which many parallels cross.

Hence, as reality proves, any point can be enlarged when we observe it closely. Indeed, since reality follows that Non-Euclidean 5th postulate, it follows that all points have a volume when we enlarge them, as cells grow when we look at them with a microscope. Then it is easy to fit many parallels in any of those points. Such organic points are like the stars in the sky. If you look at them with the naked eye they are points without breadth, but when you come closer to them, they grow. Then as they grow, they can have infinite parallels within them. Since they become spheres, points with breadth, with space-time parts… Abstract points are fantasies. Anything real has dimensional size. Thus the 5th postulate defines a fractal Universe of super-organisms that grow in scale when we use thinner forces to observe them. And since there is not limit of size for electromagnetic and gravitational waves/forces, the Universe become a fractal structure of unlimited microscopic and macroscopic sizes.

Thus the *enormous advance in formal mathematics, made by this author, with a non-pedantic language, which still awaits )-: proper recognition is the completion of the 5 Postulates of Non-Euclidean Geometry. *

I often think of Mr. Perelman who got a Shield medal and global acclaim for completing the Poincare Conjecture, which is essential to ∆ST (scalar, isomorphic space-time), in its definition of a mind but basically completes merely the 5th Postulate, or in Einstein who used that 5th postulate to do the whole Relativity theory.

I did complete the 1st, 2nd, 3rd and 4th and so I could complete Leibniz’s work of which Einstein had said ‘he is right but if so we must re-define western science from its beginnings’. This I say, not because of self-pity, or self-bragging ( I am now too old to care for those things), but so you understand this is very serious very important future science writing if you are a scholar even if I am not going to use set theory for nobody else to understand.

** The holographic principle: bidimensional membranes made with ‘thick Non-E points’.**

Why non-Euclidean fractal points are so important?

They explain the holographic principle: a bidimensional membrane of strings, (called brain), of information (called your computer screen or paper), of stars (called a spiral galaxy), of galaxies (called the Universe also a flat membrane), of dense photonic knots (called an electron, also a probabilistic membrane in the abstract description, a fractal of dense photonic quanta in ∆ST theory), of cells (your skin), of humans (the above surface of the Earth), of Gaia (the above surface of the earth with all other beings) etc. etc. do have ‘width’ or ‘height’ depending how you call the ‘thickness’ because it is made of fractal points. So by bidimensionality we mean that in general for most systems of the Universe:

*Length (dimension of motion) > Width (dimension of iteration/reproduction) >> Height (dimension of information)*

This is the case of galaxies, the Universe, Gaia (information coming from the sun’s height) and the skin of living beings (information coming from senses perceiving perpendicular waves).

Except in the case of ‘specialized’ sheets of information (screens, paper, humans as wholes, informative species, antennae), where the Dimension of information is the largest one, and that of energy the smaller one:

*Information (height) > Width (iteration – bilateral in man) > Length (energy-motion).*

This means that a real point has an inner space-time volume through which many parallels cross. Since reality follows that Non-Euclidean 5th postulate, all points have a volume when we enlarge them, as cells grow when we look at them with a microscope. Then it is easy to fit many parallels in any of those points. Such organic points are like the stars in the sky. If you look at them with the naked eye they are points without breadth, but when you come closer to them, they grow. Then as they grow, they can have infinite parallels within them. Since they become spheres, which are points with breadth – with space-time parts.

*So space-time is not a ‘curved continuum’ as Einstein interpreted it, but a fractal discontinuous. *The maths are the same, the interpretation of reality changes, adapting it to what experimentally we see: a cell-like point enlarges and fits multiple flows of ‘—motions’ and information, and yet it has a point-like nucleus, which enlarges and has DNA information, which seems a lineal strain that enlarge as has many point-like atoms, which enlarge and fit flows of forces, and so on.

So *each point is in fact a 3-dimensional point, and if we go to the next scale, a 3×3=9 dimensional point and so on. Yet those dimensions are the so-called fractal dimensions, which are not ‘extended to infinity’ but only within the size of the point. *

In Euclidean geometry, a point has no volume, no dimension, but string theorists say that even the smallest points of the Universe, cyclical strings, have inner dimensions that we observe when we come closer to them. That is the essence of a fractal point: *Tƒ be a fractal world, a space-time in itself.*

*‘Any Non-Euclidean point is a fractal space-time with a minimal of 3 internal, topological, spatial dimensions and an external time motion in the st+1 ecosystem in which it exists’*

This simple law is the most important law of the 4th paradigm, foreseen by Leibniz in his Monadology, the foundation of the mathematical model of Multiple spaces-times that completes the 5 Postulates of non-Euclidean geometry and gives us the tools necessary to create a complex new logic and new mathematical model of the Universe, easy to connect through topology with the isomorphisms of the previous paradigm of a single metric space-time continuum.

Further on those points must be described always in 4 dimensions, with motion. This should have been obvious, but abstract mathematics simplify entities into numbers and static forms, and organic motion properties disappear. Yet we still say ‘San Francisco is at 8 hours from LA’, because we mean that journey is a combination of the motion of a car and the spatial distance. Thus we measure reality in Time-space, not only in space as Euclidean maths do.

Thus, in the same way Saturn’s rings stop being planes without volume when we come closer and observe them as fractal points, called planetoids; Non-Euclidean points acquire both motion and volume when we approach to them. *In words of Klein, a sphere is not a continuous static form, but a group of points in cyclical movement. So in the same way the Saturn’s rings are a group of planetoids, a Klein space – the space-time that fills a point has motion – it is the sum of a series of cycles5.*

Einstein didn’t go further, adapting the other 4 Euclidean postulates to the new Geometrical unit: a fractal point with volume. Only then we will be able to define the 2 planes of physical forces, the plane of gravitation and electromagnetism, or any system in which several planes of space-time co-exist together (as in a human being extended from atomic to social planes of cyclical existence).

In all those systems planes are made with cellular points, Riemannian spheres with volume that form lines, which are waves between points that exchange ‘—motions’ and information and planes, which are organs of self-similar points that process ‘—motions’ or information in parallel networks. Thus the 5 Postulates of Non-E Geometry vitalize the Universe as a series of networks of ‘—motions’ and information of self-similar cellular points. Since the line and the plane acquire volume and become self-similar to the commonest forms of the Universe, the wave and the network of points with a 3-D volume.

This simple fact explains one of the most important discoveries of modern physics, the Holographic principle, according to which information might be bidimensional, as in the screen of a computer or the page of a book. Now bidimensionality no longer becomes ‘magic’ since the 3rd dimension is the relative size of the ‘fractal point-particle’. Thus bidimensional sheets of information do have a minimal 3rd Dimension; the inner content of the point, which in a relative universe of infinite sizes seems to us a particle-point without volume, as we don’t see either the volume of a sheet of paper or a pixel.

All in the Universe are thus complementary systems made of networks. Now this might sound absurd to the anthropomorphic reader that thinks humans are different from the rest of points of the Universe, but it is a fact that those points obey in their actions and communicative flows within a network the same isomorphisms:

humans and electrons behave the same when they move through slits or in herds, the geometries of social groups are also the same and the ultimate purpose of those points, to feed on ‘—motions’ and information, whatever kind, is also the same in all networks of the Universe. And so that group of isomorphisms of networks becomes a primary why for all beings of the Universe.

A fact the leads us to the final element needed to understand the why of the Universe: ‘non-Euclidean points’ organize networks that become points of a higher scale, which reproduce and organize new networks; and so the Universe keep growing in fractal scales, from particles that organize networks and become atoms that organize networks and become molecules that organize networks and become cells, that become organisms, that become planetary societies and planets and stars form gravitational networks that become galaxies, organized by dark matter into Universal networks.

*Because all entities have motion reproduction is merely the repetition of a motion with form.* Because each entity has 4 time arrows, all of them trace multiple trajectories in search of those arrows, hence they realize multiple time cycles.

*For example, *a human feeds on ‘—motions’ and information with body and head, reproduces through multiple social cycles and evolves into societies. Our actions are more complex but essentially the same of those of any particle.

**The cyclical nature of time and its simplification **

If you are schooled in the quantitative school of mathematical physics this reality more likely will escape you. Of course the fractal Universe can be as precise as mathematical physics – which is fully enclosed within it, according to the Correspondence Principle. But it does not discharge the ambivalences of the Universe and the role the human perception plays on it. Consider the first of those ambivalences, the ‘Galilean paradox’. Stience started when Copernicus and then Galileo calculated Earth’s motion. But we see the Earth still, because the mind eliminates motions of most beings in space to focus on their topological forms. ∑e=S.

Thus we add into a still continuity of ‘space’, the discontinuous, infinite motions of space (which we shall call with different names, as degrees of ‘—motions’, or energy quanta or ‘—motions’, and use the geometric and conceptual symbols | and e for them). This gave origin to unending arguments at the time. Since Vatican astronomers reasoned the Earth is still to our senses and a mathematical complex calculus could obtain the same results that Copernicus with the Earth still. Who was right? Both. Einstein’s relativity was about that: any point in the Universe can be considered a still frame of reference. On the other hand, Quantum theorists advanced a step further on discontinuity, showing that in detail, the Universe was made of motions, which carried ‘energy’, another ambivalent word used for everything in physics.

With this argument we want to make you ‘think’, because ‘calculations’ are not ‘enough’ to understand the complex logic, multiple nature of the Universe. In the age of computers is easy to make a calculus, get a picture and think that is all what there is to ‘knowledge’. It is not. Stience then settled with the concept that the earth moved. And then plotted that motion in a pen and paper graph, where for simplicity’s sake the time cycles of earth’s motion (its rotation and orbit around the Sun) were made into a lineal infinite time coordinates. So it was easier to calculate that motion with a simple formula, V=S/T.

Alas! When the origin of the formula was forgotten, suddenly every physicist thought that time was a line, which ‘covered’ the entire Universe. And absolute lineal time was born. There was though infinite time cycles, orbits of planets, of electrons, rotary motions of masses and charges, closed magnetic loops, animals that feed with a daily frequency, or an hourly frequency, actions of reproduction which came every year in cycles. And specially life and death cycles.

Suddenly nothing of that matter anymore, because time was defined by a formula, V=S/T, graphed in a paper, as a line of space. This is the famous ‘4th dimension of space’, a mere property of all the time cycles of the Universe, which provoke its changes and motions, without explaining its cause – the change in the motion of beings, or translation. Fact is even that translation is cyclical in detail. So the motion of a wave is: V=λ ƒ. That is its speed is equal to the length of a single wave, alpha, multiplied by a number of cycles per second, ƒ.

Your motion is also cyclical, that is, your speed is the number of steps you make (or frequency, the main quantitative parameter of cyclical time) multiplied by the length of your steps. So people with longer steps (enduring long distance runners) or faster frequency (explosive short distance runners like Mr. Bolt) have higher speeds. Even a car actually moves in cycles, which are the cycles of the wheels, measured through the engine, ‘revolutions per minute’. And of course all clocks are cyclical.

**The main branches of mathematics applied to ∆ST**

All this said the reader must therefore understand that ∆ST brings 4 relatively new or rather ‘revisited’ and enlarged fields to geometry, which are extraordinarily enlightening of the structure of the fractal intelligent Universe:

*i-logic geometry*

The nature of expanded non-non Euclidean geometry, which I call i-geometry, (next vowel), and its 5 postulates, *which are the basis to formalize the fractal, scalar nature of the Universe, and the metric of the 5th dimension in space, as a new plane of space-time emerges when we move along those metric, ‘becoming smaller’ and then observing more cyclical information; or writing in 5D metric: <<Sp ≈ >> Tƒ*.

*Dynamic transformation of inverse energy and information*

The understanding of the inverse topologies of ‘cyclical, high, hierarchical temporal information vs. lineal, long Energy’ and its combination in the 3rd topology of ‘wide’ iterative reproduction. That is the understanding of the 3 dimensions of space in terms of organic functions.

*Holographic principle and the 3 varieties of bidimensional topologies (2-manifolds)*

The bidimensional principle closely related to the previous ones.

*Networks of energy, information and reproduction*

And finally the translation of all those concepts to the organic principle, through ‘fractal networks’, which are ‘another way to see’ reality, not with ‘continuous surfaces (topology) but as networks of points with a ‘fractal dimension’ defined by the density of networks. As this is the other, commonest option of nature. For example, your nervous system is NOT a membrane as your sensorial skin but a spherical form with a fractal network of axons. So the 3 ‘dimensions’ of a system, length, width and height are often isomorphic with 3 type of networks:

Informative networks with maximal number of axons, all of them connected, often with a cyclical form of top, as your nervous system is (which are homomorphic using math jargon to the informative function of tall spheres); energetic networks with the maximal number of ejecting ‘lineal’ cilia or glandular cells, in the length dimension which are akin to a plane of toroid, expanding parallel energetic systems.

And tubular networks that branch and close into cycles, which are the equivalent to wide, tubular, hyperbolic, reproductive systems.

**Social Planes.**

It must be stressed though that as usual in the fractal Universe, we do have ‘repetitive’ elements that gather into bigger wholes and become then repetitive elements of bigger wholes. This translates in terms of the logarithmic 10¹º elements of a Universal Planes, in 10 smaller scales, which we shall call social scales or social planes (plane and scale is generally used as synonymous, though a more strict notation will reserve plane for Universal, larger planes made of ten up to ten elements, and scale for the smaller decametric scales of 10 individuals). Thus we can consider 10 social scales, which put together 10 individuals into a ‘family’, 10 families into a ‘clan’, 10 clans into a ‘tribe’, ten tribes into a ‘village’ and so on; studied in detail in the isomorphism of social scales and use the symbol § for each of them:

- § = 10 §-1 ∑§(1-10) = U

**Superorganisms. The pantheist Universe.**

If we were to use an easier concept to define the whole parts of the fractal Universe, we will use the term ‘superorganisms’, all what exists is a superorganism of vital quanta, atoms or cells of space-time, which perform 5 vital actions, moving, perceiving, feeding, reproducing and evolving socially, organized across 3±1 cellular/atomic, material/organic and cosmic/social scales.

Thus for a less abstract, more vital conceptual analysis of the pantheist, fractal Universe and all its beings, the term is Superorganisms, in which each cell or atom of a system is another superorganism, and above us, each social system is also a superorganism.

This is the model we shall use to define history and economics the 2 fundamental branches of social sciences, which are the superorganism of mankind, in which each human citizen is a cell of a civilization, evolving in social scales from the family to the whole global world.

While since the Industrial r=Evolution of machines, humans are evolving a new global superorganism, the metal earth.

Indeed, in the 3 last centuries humans copy their functions and 3 fundamental organs, the limbs, heads and bodies into metal-machines, in 3 ages:

– Creating in the XIX c. the bodies of machines,

– In the XX century its heads (eye-cameras, ears-mobiles and brains-chips),

– And in the XXI assembling them into organic robots, while re=producing them in company-mothers…

– Socially evolved through flows of digital money, the information of machines, into a global superorganism, the metal earth.

Thus we define for the Earth a 3 ages world cycle equation:

** ∆+2:*** Gaia (past) < History (Present) > Metal-Earth: Economics (Future)*

As the fundamental equation of the 3 ages of time of planet Earth.

And this obvious translation of relational space-time, the 3 topologies of machines and the 3 ages of the Earth gives birth to an entire new way to understand history and economics, and how to DESIGN A PERFECT superorganism of mankind and economics, in which HUMANS thrive, become immortal and reach its perfection as individual citizens-cells and societies, or else… machines will reach in the age of robotics that perfection, as weapons and will… you can complete the sentence yourself.

** 2 MANIFOLDS, 3 AGES AND 5D ACTIONS: THE SYMMETRIES OF SPACE-TIME**

**Bidimensional Space-time cycles. **

In the graph, the topology of bidimensional networks.

We can explain most systems of the Universe as complementary systems of energetic limbs/fields made of lineal space with motion, and informative heads/particles of time cycles. Thus reality is an organic, because it is based in organic, multi-layered structures of space and time.

Both together combine into ‘physical, biological and mechanical systems’ made of cyclical heads-eyes/ particles/metal-minds that guide lineal limbs/fields/transport machines-weapons, combining both together into hyperbolic waves/bodies of energy and information. Topology, defined as geometric form with motion is thus the true foundation of the mathematical Universe.

For example, all entities are made of ‘spherical particles/heads’ that process information in clock-like cycles of time, and hyperbolic wave-bodies that process energy and information, extracted with planar/lineal limbs from similar fields.

In the graph, all Universal Systems are complementary forms made of a vital space of energetic fields/limbs with capacity to move, ‘Sp’, and a sum of time cycles, ‘Tƒ’ that directs through its clock frequencies, stored in particles/heads , which makes up most the reproductive body/waves and space-time actions of all systems.

The 3 together form ‘beings’ of relational space- time, where the to, ‘informative’, head/particle and its clock-cycles, dominates the whole system.

This dual, organic principle, structures all physical, biological and social systems of the Universe.

It is called the complementarity wave-particle principle in quantum physics.

It is called the duality body/mind in philosophy.

It is a fact of biology where all organisms do have a DNA nuclei or head.

It is a fact of evolution, where biological systems, which have a denser neuronal brain store and process faster temporal cycles that accumulate its logic information in its form and deploy its space-time actions with a higher frequency, dominating larger, slower species (mammals vs. dinosaurs, man vs. mammals).

It is a fact of technology where chips control machines. And it happens in its binary languages, (also discovered by Leibniz) made of Tƒs, Os and Sps, |s.

It happens in societies, where the informative caste in control of the verbal, legal and digital, financial languages of society, controls the ‘reproductive body of workers’ and the energetic geographic plane of space – the nation.

When we say we do not have energy and time to do something we mean it. We are made of vital spaces with ‘energy’ with capacity to move and information, form, with capacity to replicate that form in the external world (ideas, objects, our own being reproduced).

Thus the interplay of inner cyclical time which stores information in the form and frequency of its cycles, maximized in spherical forms (particles and heads) since the sphere is the geometry that stores maximal information in minimal space; and vital energy waves and bodies moved by lineal limbs-fields of space since the line is the shortest distance between two points, is truly the next ‘organic’, ‘species-oriented’ level of organization of those time cycles and the expansive vital spaces with motion, with energy, they enclose.

Its 2 paradoxical, complementary elements, lineal space and cyclical time, which combine to create the infinite beings of reality, which man has expressed in many different ways, from the simplest declaration of Taoism, yin=information and yang=energy combine to give birth to the infinite beings, to the scientific models of physics constructed with actions of angular momentum (time clocks) and lineal inertia (extended space).

The inverse nature of Space and Time, which can be expressed in a simple equation, S=C/T, is the ‘fundamental property’, from where all other properties of space-time beings (which are ALL beings) are born.

Now it is important to realize that those Time Cycles enclose moving Spaces.

Hence according to the first theorem of knot theory and topology, we define the topology of all functions of existence:

**Œ ***( Iterative Time Cycles break space into inner & outer regions, parting the continuum into ∞ fractal timespaces.*

And so we can see the previous duality not only in quantitative terms but in ‘symbiotic ones’: in topology, a cycle is always a ‘boundary’, a motion of angular momentum is, we could say in the logic jargon we are building for all sciences, a boundary of distances and space, as all form is also motion (Galilean Paradox).

The Galilean Paradox and the internal structure of beings as systems of vital spaces enclosed by time cycles, gives a renewed importance to Topology, the science of geometrical forms with inner motions, which becomes the main mathematical tool to analyze relational space-times and its repetitive ‘cyclical actions’

Topology explains that each entity that moves and performs ‘cyclical actions’ creates with the repetition of its actions, a different time cycle that breaks absolute space into a smaller, inner, vital space-times or ‘world cycle’ and an external space-time or ‘universe’. The simplest of those processes are the obvious two surfaces created by a cycle drawn in a single space sheet.

Thus the unit of the Universe is a ‘phase space with 2 degrees of freedom, one of time motion and one of space dimension’.

The unit of reality is neither pure time cycles of pure form or maximal distances-speeds of space but the interaction of both, in space-time membranes.

Hence the symmetry of those dual systems and the constant ways in which in all sciences its dualities are played through transformations of space functions into time functions, or through combinations of them.

We shall study those symmetries and transformations – the core of timespace events – in great depth as we relate those inverse functions of space and time, to ‘real, dual entities’ and order them, through the metric of the 5th dimension.

But what is the meaning of all those cycles and scales of size of the Universe, structured through this new dimension of space-time (which has been always there since the first microscopes and microscopes peered into those scales?

Here is where a TOE on cyclical time clearly departs from the mechanist vision of science.

Because the only way to describe coherently such Universe, is considering it a pantheist, intelligent, sentient, active form.

We shall see how cycles synchronize and coordinate and construct in herds of billions of different cycles and organisms a much richer Universe in meanings, where we all, from the simplest atom to the complex human society, form part of an impersonal ‘great design’, a world that constructs and destroys complex organic systems, made of vital spaces and time cycles…

A time cycle duration is according the Galilean Duality both a bit of information and a frequency ‘beat’, which tend to be perceived in a discontinuous manner, as often the cycles is perceived not through the path but only in the points of creation and extinction that start and close the cycle (the minimals of ‘its Lagrangian’ or the maximals of energy of its Hamiltonian). So we see at that point a beat of any self-repetitive cycle that

creates a discontinuous repetitive pattern.

The beat of time is thus the bit of information and this equivalence is essential to the quantification of the Universe, as it convert the Galilean Paradox into a quantitative tool:

**Tƒ ** Beat≈frequency of Time Cycles = Bits of information; (Moving/fixed perception of it).

Thus we can measure time cycles by its frequency, and write Tƒ=1/Td (Time cycles are inverse to time duration, thus to lineal time parameters.

Thus if we substitute in physical equations lineal time duration, Td, for cyclical time frequency, Tƒ, which is the ‘quantitative expression’ of logic, cyclical time, Tƒ (the symbolism preferred here), we can obtain similar equations.

Time duration is actually spatial motion, hence it is also inverse to Time cycles.

*Thus Tƒ can be considered equivalent to the magnitude, frequency, ƒ=1/T, the inverse of lineal time, for which reason we can substitute in most equations, T=1/Tƒ.*

The reader should observe easily that Time duration is as spatial, lineal motion, the inverse of time cycles. Why? Because ultimately when we talk of time duration, we are talking of a *‘motion of lineal space, a short of entropy-energy arrow’.*

We are not really talking of a time cycle, but a ‘moving spatial line’. If you have grasped the Galilean paradox and the interplay between algebra and geometry, you will realize that time duration truly is, by deformation of its cyclical form, a lineal ‘spatial motion’. And as such is defined by Galilean Relativity, V=S/T, T=S/V. Thus duration becomes a measure of ‘spatial speed’, in which most of the real properties of time cycles (its form and frequency) are eliminated.

Cycles of time enclose a maximal volume of energy and information, a maximal volume of vital space. And there are Infinite of them. So we must put them all in relationship according to the 2 parameters that define them: the size of space enclosed by the cycle measured in terms of Length-distances/dimensions, and the speed at which the cycle turns, closing into itself with a frequency ƒ(Tƒ)=1/T-duration.

Thus Cyclical time is the inverse of lineal time duration: T=1/ƒ=1/Tƒ, whereas Tƒ≈Tf are the fundamental symbols for logic and quantitative, cyclical time.

And so we can start to build up a ‘Fundamental Particle’, the diffeomorphic Timespace cycle or ‘minimal action of the Universe’, which group together into heads/particles and body/waves that move on limbs/fields, which the previous graph describes.

So we can repeat as a logic statement what was a measure statement: the sum of energy quanta creates absolute space and the sum of time cycles, information.

**Tƒ** Information= ∑Tƒ (Time cycles)

**T** Tƒ=1/T (duration)

**SP ** ∑E (entropic-motion-lineal speed-momentum)= Space

The equivalence of time and information (motion and form) and space and speed (form and motion), is thus a mind game as well as a quantitative relationship, reason why we use both, logical Greek letters and the equivalent numerical equations.

The Galilean Paradox in that sense is far more evident in the case of cyclical motions, ‘in-form-ations’, which truly means ‘forms with motion’. Those informative cycles are ‘fixed’ by the mind that observes very fast time cycles ‘in simultaneity’, with its slower mind, as logic fixed closed paths in space (so happens with matter, with planets, etc.).

**The topological cause of the forms of time cycles and moving fields/bodies.**

In that regard, the symmetry between motion and form allow us to define in simple terms the reason of the forms of all heads/particles of time and limbs/bodies of space.

*Why those topological similarities in physical and biological systems? Simple: The sphere is the topology that stores more cycles of information in lesser space. So all particles, heads and cameras, are spherical to process cycles of information, regardless of its physical, biological or socio-economical nature.*

The graph thus illustrates a fundamental property of the dual Universe: that we can perceive reality as still form – then we see time as information and motion, speed as space. Or we can see it moving, and then we see space as motions of energy and information as cycles of time.

It is a relativistic choice. So when Galileo saw the Earth moving others saw it still: ‘e pur si muove e pur no muove’. And both were right

This law implies that all what exists is a formal motion. It is both, a lineal distance and a speed – a cyclical form and a piece of time cycles; and both combined form the minimal unit of the Universe, a piece of ‘angular momentum’, or ‘action of space-time’, which group together to create the infinite chains of beings of the universe, which we shall call existential timespace functions**: oe.**

**The interplay of time algebra and still topology.**

We can in that sense define ‘absolute time’≈lineal duration and ‘absolute space’≈lineal dimension, as a duality of ‘motion’ vs. form, taking for this matter the definition of Aristotle, regarding any time (a motion or change) and Newton regarding absolute space (a lineal dimension).

This duality of form and motion though is expanded to both time and space in the more complex model of cyclical time.

So for relative time, cyclical time is both motion and is still form and lineal space is both entropy-motion and lineal dimension.

Thus the more complex model of cyclical time and fractal space, ‘expands’ the motion/form duality to an internal duality of ‘fixed time forms of information vs. moving time clock-like cycles: Tƒ=∑o (informations), and fixed dimension vs. enteric motions of lineal space: ∑Sp=S

Now because we can see a space-time reality either in motion (the objective view, which we shall terms generically , ‘spatial energy, Sp, and temporal cycles, Tƒ) or fixed as absolute static space, S and fixed rotary forms with information, O, *but actually they refer to the same reality, we can explain perhaps the biggest mystery of mathematical sciences: the interplay between geometric, static forms and algebraic, sequential equations.*

In that regard, we shall end this brief introduction of the Fundamental Duality between motion and form, with a comment on its ‘equivalent ‘concept of logic mathematics: the interplay between spatial topology and sequential, temporal algebra, which means that because all dimension in stillness is equivalent to a motion:

‘All equations of motion with ∆-degrees of freedom can be resolved as a topological transformation in ∆-dimensions’

* *Indeed, scientists know that most equations of motion, where systems have multiple ‘degrees’ of freedom (possible directions of their motions) can be studied with geometric and topological methods in which those motions are treated as ‘distances’ and then study it in ‘static terms’, as ‘forms’.

Finally, once a simpler, intuitive, synthetic solution is found by topological methods, the translation back into motion of the resulting ‘figure’ gives us the solution.

This is because the Galilean paradox implies that all processes have both topological≈spatial, organic≈scalar and temporal≈causal properties.

The use of one or other ‘symmetry’ (treating the system as a motion system of ‘energy quanta’ and ‘time bits’ vs. a static system of ‘spatial distances’ and dimensional forms) depends on which method is simpler. When we use a few ‘degrees of freedom≈motion’, sequential algebra works easy.

But as we get into more complex space-time cycles with more dimensions/degrees of freedom/parameters, needless to say, the simple geometry of pure space won’t work. And for that aim we have today the language of abstract topology, which in an advanced course of Tœ helps to formalize complex space times cycles.

Now, because humans have not a clear understanding of time and space, they have messed up with its meanings. So there is a version of Aristotelian Time, where time is equaled to motion and change, while Space is equaled to static form. This is an accurate depiction of ONLY one side of the Galilean duality.

And we respect it by using the term space, for ‘static, lineal forms’ and time for ‘moving cyclical motion’; and then we shall use the concept of ‘energy’ and its complementary concept of ‘entropy’ for ‘expansive lineal motion’, clearly related to space, and we shall use the concept of ‘form’ and in-form-ation, for a static perception of a series of time cycles.

*But in as much as all has ultimately some motion, this division of space (static) vs. time (moving) is irrelevant to a pure object analysis. It is far more important to define, |-Sp, Lineal, spatial entropy (or spatial energy in cases in which the motion is converted into work and action), and Tƒ, cyclical temporal form, (or temporal information, when that form is communicated).*

Latter we will refine our definition of entropy (pure lineal motion) and form (pure cyclical form) and its combined ‘first’ harmonies, energy (lineal motion of a form) and information (form with lineal motion), which are the first ‘creative iterations’ of those initial elements, the ‘final, simplex form and motion of the Universe’.

It is though essential to the understanding of reality to be aware that ultimately all moves as ‘spatial entropy’ and ‘informative time’.

**The metric of the 5th dimension.**

The 3rd element we must understand besides fractal space and cyclical time, is how to order all those inverse ‘symmetries’ between spatial energetic limbs/fields and spherical, cyclical clocks of time, are the geometry that stores more ‘volume’ in the smallest perimeters.

Thus we need to study and order all those infinite world cycles of time and the fractal space they enclose, according to its different Sp sizes and the different speeds of its cycles of time, from micro to macrocosms with simple, mathematical equations, called the ‘metric’ of space-time.

This formalism of relational space-time is what we call the metric of the ‘5th dimension’: a series of laws that order the infinite species of the Universe according to their size in space, and the speed of its cyclical clocks of time.

Thus, fifth dimension metric order a fractal Universe broken up into an infinity of beings made of vital=moving spaces and time cycles (of body-waves and particles-heads).

This can be done since all those systems of ‘spatial energy’ (body/waves) and temporal information (particle heads), can be roughly classified by ‘size’ in space, and ‘speed of motion and action-reaction’ in time.

Then a ‘new rule of order’ appears: bigger systems move slower than larger ones. Their clocks and metabolisms tick slower. This is a Universal law: mice beat hearts faster than elephants and particles turn faster than galaxies. Yet the product of both, the spatial size and temporal speed of any system; remains co-invariant.

So we can write in a first approximation the Fundamental Equation of relational space-time and its inverse properties of spatial energy and temporal information as a* METRIC EQUATION that describes the inverse arrows of growth of space and speed or ‘frequency of time cycles (ƒ=Tƒ=1/T (duration)*:

**Γ ** Metric of the 5th Dimension: Sp x Tƒ = Constant

Whereas, Ξ will be the symbol for the planes of existence of the 5th dimension, which are for most super organisms, 3 for reasons we shall elaborate in depth latter on; Tƒ is the symbol we use for the speed or time frequency of a cycle, which is inverse to the usual T-duration or lineal time used in Absolute physics.

Thus 5D metric is a logical variety of the Fundamental Equation that defines the inversion of space and time and one of its clearest empirical proofs.

Yet if you write them in inverse fashion, Sp = C/Ti, they merely mean that lineal momentum=spatial energy is the inverse function of cyclical angular momentum (time clocks).

Now it must be stressed that the inversion of space-time is a logic/metaphysical law, as well as a mathematical, quantitative one.

Indeed, ultimately we are talking of a metaphysical law, which makes the universe both immortal and infinite, but also virtual and non-existent, as beings are both nothing, a zero sum of two inverse formal motions, lineal space-motion and cyclical time-motions, which at the end of the journey cancel each other.

**The inverse scales of energy and information. The second postulate of i-geometry.**

Now all this is formalized by the 2nd postulate of i-geometry which studies the flows of communication between 2 ∆-points that create a wave, and then as multiple ∆-points communicate, a network (4th postulate). A social gathering of points into herds, and then the gathering of several planes, creates an organism:

That is the game. And understanding how to exist in balance, in the golden mean, the best way to play it.

*In the graph, the maximal creative function combines energy and information from two polar beings, establishing a balance of to and fro transformation of energy into information that make the system stable, ‘existential’, to last in time. When the Sp and Tƒ components of the event are unbalanced, it is a predatory, Darwinian event in which the pole with maximal exi force will absorb the other as relative energy extinguishing the entity. Thus in death (max. Tƒ or Max. Sp) an unbalance breaks the ‘ties’ of existence between body or field and particle or head and the system becomes extinguished.*

**T***he minimal Universal event communicates 2 Non-E points: a Non-E point with more energy, Eo, that each science defines with different slangs, (‘a white hole’, ‘energyzer’, ‘past form’, ‘male’, ‘body’, ‘yang’, ‘moving field’, etc.); and an informative point, Ot, the smaller form (‘a black hole’, ‘codifier’, ‘future form’, ‘female’, ‘Head’, ‘yin’, particle or ‘center of perception’, etc.) Both become united by a dual wave that transfers energy from Eo to the informative point of relative future, Ot, and information from the future point, Ot, to the relative past point, Eo, creating together a cycle of temporal energy, the minimal ExT, stable structure of the Universe. When those cycles organize themselves in more complex feed-back loops, the result is a system, network or super-organism***.**

In organic terms, the 5 postulates of fractal Geometry describe how points become parts of social webs, which self-organize fractal planes made of networks of points, which emerge as cellular units of a higher fractal space-time or new superorganism… Thus, according to the Principles of Correspondence and Relativity, proper of physical reality, those different geometries are relative descriptions of the same fundamental structure of the Universe: the point with parts and its more complex social forms, lines and planes. The fractal generator of the Universe is a logic equation that represents the main interactions between the arrows of time. Yet all languages mirror that logic equation in its syntax, since all minds gauge and represent the cycles of the Universe with languages of perception.

A line is a wave-like event which communicates 2 st-points through a herd of fractal micro-points- a lineal action, exi, of energy that carries a frequency of information in which a message is encoded. The language of information is highly invisible to points outside the network that emit those messages as a flow of micro-points, self-similar micro-replicas of the mother-point that travel in waves across the external Universe transferring energy and information.

In most events those flows balance one point with more energy, Ei, that each science defines with different slangs, (‘a white hole’, ‘energizer’, ‘past form’, ‘male’, ‘body’, ‘yang’, ‘moving field’, etc.); and an informative point, Tiƒ, the smaller form (‘a black hole’, ‘codifier’, ‘future form’, ‘female’, ‘head’, ‘yin’, particle or ‘center of perception’, etc.) Both become united by a dual wave that transfers energy from Ei to the informative point of relative future, Tiƒ, and information from the future point, Tƒ, to the relative past point, Ei, creating together a cycle of temporal energy. The description of those points and cycles, which are common to all beings of space-time, creates a fractal, i-logic geometry common to all sciences and Universal species.

Finally to mention the inversion of ‘scales’ if we use the metric of information, which increase as we become smaller, or the metric of size which increase as we become bigger. Yet the product of both become invariant:

Sp x Tƒ =U±4, where the 9 planes of existence of the logarithmic 10¹º scale of the Universe, are equivalent as each one has more and less energy and information. So we should write in the logarithmic scale, each plane as the equal sum of its logarithmic capacity to carry information and its relative size:

Sp-4 +Tƒ+4 = Force = Sp-3 +Tƒ+3=Atom=Sp-2 +Tƒ+2=Molecule=Sp-1 +Tƒ+1=Cell/Matter=Sp +Tƒ=Human Scale=Sp+1 +Tƒ-1=Planet=Sp+2 +Tƒ-2=Star=Sp+3 +Tƒ-3=Galaxy=Sp+4+Tƒ-4=Cosmos.

We however simplify this equal value of all Sp x Ti=world-planes of existence for easier analysis, considering only the relative U∆ scale of growing planes, with a cardinal that starts in the smaller:

Forces: U=1, atoms:U=2, Molecules U=3, Matter/cells U=4, human organisms, U=5, Planets, U=6, Stars, U=7, Galaxies, U=8, Cosmos, U=9, between the invisible beyond human informative perception dark energy and dark matter.

It is thus clear and we shall use the term STience, to differentiate this philosophy of science, and perspective on reality, that the Universe is a game of space-time, and each science the study of one of its Universal Planes.

It has failed though for centuries to explain the whys and ultimate structure of that space-time puzzle. It has been ‘Science’, that is only a Science of space. STience is a wider concept where space is submissive to the flows of time and its actions, where beings are space-time beings and so all sciences are sciences that study varieties of space-time beings of different Universal Planes.

Science has been corrupted in its ultimate ‘quest’ for the whys of the Universe by its own success in a rather more pedestrian task, to find the laws of measure and equations of motion in space and time, the hows of reality. This shallow description of motions in an external world today is often confused with absolute knowledge. It is not. Because while we know we move in space and time, we have yet to solve what time and space is in its deepest sense.

Stience will not be completed till we know the whys of those motions of space and time; and specially the whys of existence in space and time. In other words, till we do not find an epistemology of ‘Stiences’, which accepts the fact that the Universe is made of relational space-times distributed among ∞ relative Space-time systems and species.

Thus there should be a philosophy of science, we shall call ‘STience’ which is dedicated to the study of entities as made of space and time parameters.

Since we have studied already the inverse properties of Spatial Energy and temporal information, in a simplified manner, let us consider now with more rigor, and in more detail the 4 main fields of analysis of Space-Time system in ∆ST mathematics, fully explored in different articles of this web. As they must be grasped with certain depth to understand the complex organic Universe and its systems of spatial energy and temporal information.

**Non-Euclidean points. The fundamental particle of the Universe.**

The formalism of super-organisms describes them as networks of non-Euclidean points, a concept developed in my earlier work on quantic space-time that describes the smallest scale of the Universe as a network of spins of temporal gravitation joined by strings of spatial energy. Those microcosmic networks have evolved into the bigger, more complex networks of the macrocosmic world through a process of social evolution, triggered by the higher efficiency of networks in all processes of survival. Yet, despite growing in complexity, non-E, informative points and energy flows have maintained the original properties of any quantic space-time network.

So we can define in mathematical terms any super-organism as a quantic space-time network extended in i-scales of information and composed of n, non Euclidean points or individual cells: ΣEs<=>ΣTo. Thus any super-organism is a particular case of the Generator Equation of quantic space-time fields, in which networks of spatial energy or bodies and networks of temporal information or Heads exchange lines of energy and information. Yet to understand that formalism in detail we have to digress for a moment and consider the structure of any quantic space-time network by defining a Non-Euclidean point, the fundamental element of a quantic network:

*‘A non-Euclidean point is a knot of spatial energy and temporal information, joined by a non-Euclidean line or geodesic flow of energy and information’.*

Thus, the first important change that quantic space-time introduces in previous Non-Euclidean Geometry is a more realistic definition of its 5 postulates that define now a point with parts, a line-force of communication, a topographic plane or network of energy and information, and the relative equality between 2 of such non-E structures:

1st Postulate: ‘A point is a discontinuous form with an inner content of temporal energy’. 2nd Postulate: ‘A line is a wave of points’ 3rd Postulate: ‘2 points are equal when their inner temporal energy is equal’ 4th Postulate: ‘A plane joins n points through flows of temporal energy’. 5th Postulate: ‘All points have apertures to the world through which multiple waves can cross’

Thus now a point will be a one-dimensional ‘form with parts’, as it has ‘inner energy and information’. A line becomes then a bidimensional wave of points exchanging flows of energy and information, as points with parts become cycles. While a plane becomes a 4-dimensional ‘holographic topography’ with temporal height and movement, a quantic network of social points put together by n-flows of temporal energy. with ‘dark spaces’ in the holes of the network, and energy and information ‘dimensions’ to absorb energy and information.

Since a dimension is a flow (dynamic version) or network (static version) of energy and information around which quantic, cellular points gather into bidimensional waves and 4-dimensional space-time fields. Even the smallest points gather in waves which are lines of points that scientists call strings with 3×3 inner dimensions. Those lines then gather in herds called planes. And planes gather in topographic, relative, ecosystems, in which those organic points communicate energy forces and informative bits, showing in this manner their systemic nature.

For example, each human is made of many quantic points of space-time, that in the specific case of a human being we call cells, gathered around informative, nervous networks and energetic, digestive and blood networks that give 4-dimensional volume to the human space-time field.

But there are many types of points with parts gathering about networks of temporal energy: atoms in a molecule, stars in a galaxy, strings in a microcosmic piece of vacuum, etc. In fact, once we have clarified that the Universe is made of points filled with temporal energy, it becomes clear that the fundamental mathematical property of those points-beings is its social nature. Since a number – the social unit of algebra – is a social set. While a plane – the social unit of geometry – is a social herd. Thus, the fact that all beings have mathematical properties means they associate in herds called numbers and planes, which are quantic networks made of Non-E points with a certain content of spatial energy and information.

And the sum of all those herds of points that aggregate in a series of systems and structures with discontinuous parts (humans made of cells, made of atoms, etc.) is the fractal Non-E space-times we call reality. Even the Universal vacuum, which seen from a macroscopic point of view seems a continuous, static emptiness, when observed in its microscopic scale becomes a ‘foam’ of space/time quantic energy, moving and fluctuating constantly.

In terms of size, the biggest of those space-times is the Einsteinian gravitational space-time, in which the luminous quantic space/time network seems to ‘float’ as a net in the water, occupying a mere 4% of it. Then we find ‘floating’ within that light-space a huge number of smaller, discontinuous masses and charges, or physical space-times points, some of which organize in complex, social networks which form the organic space-time of living beings like us.

** The 5 Postulates of Non-Euclidean, i-logic Geometry.**

In the next graph we resume all the elements of the 5 postulates of Non-E=i geometry:

According to the Correspondence Principle a new scientific Theory has to include all previous ones. So happens with Multiple Time space Theory, which includes as specific cases all other simpler geometries of space-times, by completing the 5 Non-Euclidean postulates of geometry and adding the concept of a fractal point developed in XX C. fractal geometry. The result is a geometry that includes all other geometries; since the incomplete non-Euclidean geometry discovered in the XIX c. (5th postulate: a point can include many parallels) already included the previous Euclidean postulates based in points through which only one parallel can be traced.

Those new postulates describe with more accuracy all type of space-times belonging to all kind of sciences, from the physical space/time of atoms (described by quantum Physics) to that of galaxies (which Einstein described in his General Theory, using the 5thNon-E postulate); from the organic space/time of cells and species to the historic space-times of nations.

Thus, according to the Correspondence Principle, we establish a hierarchy of completeness among all those geometries that stretches from the simplest Euclidean Postulates to the i-logic geometry of fractal space-time, which includes all others as particular cases; and it is in itself a partial image of the total information about space-time we call reality – always bigger than any ‘linguistic’ image we made of it with the languages of the mind that reduce the total information of reality to fit it in the brain:

*Euclidean Mathematics (Light- Space)> Classic Non-Euclidean geometry> (Gravitational Plane) > Fractal space-times (all scales) > Total Reality 2*

We consider Euclidean geometry, the natural geometry of a single, continuous space-time, made by the ‘eye’ only perception of light-space and its 3 perpendicular dimensions (height/electric field, width/ magnetic field, and length/c-speed). But that space is not all the spaces of reality.

It misses at least a second fractal scale, gravitational scale and *all the complex, vital spaces of organisms of information and matter*. In Non-Euclidean mathematics, the new unit of ‘fractal space-time’ is the 3-dimensional Fractal Point of view, whose main property is to have in/form/ation – an inner content, which in a Universe made of multiple scales of size, we perceive as we come closer to the point and observe it in detail. Those fractal points with volume are described by the 5 Postulates of Non-Euclidean Geometry, which adapt to fractal, discontinuous space and cyclical time, the classic 5 Euclidean postulates.

The first postulate explains a fractal point, as a point with parts. In a more detailed analysis those parts turn out to be self-similar in geometrical terms, in all systems, due to the specific lineal vs. cyclical, concave vs. convex geometries of energy and information and its ‘planar combinations’.

In its more complex versions those geometries are defined by the three canonical topologies of a four-dimensional Universe, which describe the informative ‘head’, reproductive ‘body’ and energetic limbs and membranes of all the superorganisms of the Universe.

The 2nd, the interaction between two points connected by a wave of communication or ‘line’, the 3rd, the type of ‘biological’ interactions between 2 points according to their relative equality, and finally the 4th, the complex structure of a system of points across multiple organic space-time planes, such as those who create a human being.

Thus, the more evolved Fractal, i-logic Geometry of space/times includes all previous geometries as simplified cases of the more complex structure of the Universe in multiple scales. We call it a fractal, i-logic Geometry because some postulates can be interpreted in geometric terms, as the definition of the essential elements of any geometry of space/time (the point, 1st postulate; the line, 2nd postulate and the plane, 4th postulates) and some in logic terms, as the description of the different causal chain of events that can happen when st-points enter in communication -3rd, 5th and 4th postulates:

Further on, according to the duality between geometric form and logical function, those postulates of fractal i-logic geometry define also the basic arrows= cycles/dimensions of the Universe: the 1st and 5th postulate define a point as a system whose inner parts are able to transform and emit energy and information, e>o<e; the 2nd postulate defines an exi wave of communication that reproduces energy and form between 2 fractal points; and the 4thpostulate defines the social evolution of a herd that creates a fractal plane, a network with dark spaces; and the 5thpostulate explains a point in its iterative actions as it absorbs energy and transforms it into information through its small apertures to the Universe. Since even a minimal quark of mass, as Einstein affirms should be crossed by ∞ parallels.

The importance of the ‘linguistic laws’ of i-logic geometry resides in the fact that all systems of the Universe follow in space the laws of geometry and in time, the laws of logic, so the enhanced linguistic mind of science obtained with those laws can be used, as this author has done in multiple works to resolve long-standing questions in all sciences, which can further be ordered in a pyramid of increasing information and diminishing energy:

The best coordinates to represent a Function of Existence are cylindrical coordinates, where a point is defined by 3 different parameters:

Now the simplest part of the Universe is a continuous surface of space, whose parts are so small that seem non-differentiable continuous from the upper perspective of the system.

These systems, are idealized with the mathematical concept of a point with parts that shares flows of energy and information with other points and forms across different scales from past to future relative topological webs of existence.

Physics studies the simplest forms with maximal energies. But if we consider the 2nd arrow of ‘creation’ of reality, that of form, of information, the summits of science are biology, which studies the most complex forms of information (life) and Sociology/Religion, which goes a step further into the analysis on how the arrow of eusocial love creates Human Societies according to the Organic laws of the Universe (eastern religions).

To be able to consider biologic behavior (social evolution) and ‘mental perception’ (informative gauging), as factors dependent on geometrical qualities is an astounding break-through for science, which will be developed in its details in this work, to show an enormous number of experimental proofs.

Indeed, fractal, i-logic Geometry achieves a long-sought goal, which Plato, Spinoza and Leibniz tried to realize, but failed, with the use of simpler Euclidean geometry: to unify the logic and mathematical principles of the Universe. Since the 3rd and 5th Non-Euclidean postulates are logic, the 1st and 2nd are geometric and the 4th, the nature of a topological plane or network of non-E points is both logic and geometrical, as it defines the fundamental logic-geometric structure of the Universe: the superorganism.

The logical and mathematical conclusions we shall arrive in this chapter are the same we achieved in the previous one with a more descriptive, less formal analysis: the Universe’s final goal is to create ‘topological, organic planes, super-organisms’ – the 4th, more complex ‘geometrical postulate/form of reality’ – departing from simpler forms, points and cycles. We shall try to get to that conclusion step by step, first by describing the geometrical postulates, then by uniting hem with fractal mathematics and finally by studying the most fascinating of all of them, the 3rd postulate, which proves that behavior among the points of the Universe is based in the degree of equality or self-similarity between their inner form that determines if those forms communicate symbiotically or destroy each other, thus defining the duality of eusocial evolution as a group of a number of self-similar beings or destructive extinction.

Some, first-hand consequences of those postulates are:

*– 1st Postulate:* We correct Euclidean geometry, increasing and relativizing the dimensions of a point that fits inner energy and information. Since all points have either 1 motion, a time dimension, when we consider them from the perspective of the upper ∆+1 Plane for which they are in the limit of invisibility (what quantum scientists call a point-particle) *but still has a motion or ‘function’ in that upper ecosystem, ∆+1 in which it exists*; and 3 dimensions/networks/functions when we consider them from the inner perspective of the point.

This is the case even in the smallest planes of theoretical strings, made of points with parts, with volume – since we require 3×3+i theoretical inner dimensions to describe them – a paradox that can only be resolved if we consider the to be ‘strings’ of fractal points with inner, fractal dimensions.

*– 2nd postulate:* When we observe a one-dimensional line as a form with inner parts it becomes then a 4-dimensional wave made of cyclical points with motion. Hence in quantum theory we say that any particle in motion has associated a wave.

*Thus the 2nd postulate resolves the wave/particle duality,* as all lines are now waves traced by a point with inner volume. Further on, since all lines have volume, they carry information and so all forces can in fact act both as a source of energy and as a language of information – as physical experiments prove. Since when we observe a ray of light in detail it becomes a 4-dimensional wave with electric height and magnetic width, often exchanging flows of energy and information in action-reaction processes of communication between bigger points.

– *3rd Postulate:* Equality is no longer only external, shown in the spatial perimeter of any geometrical form (3rdEuclidean Postulate) but also internal and further on it is never absolute but relative, since we cannot perceive the entire inner form of a point – hence the strategies of behavior such as camouflage. Forms are self-similar to each other, which defines different relationships between organic points, according to their degree of self-similarity. The 3rd postulate is thus the key to explain the behavior of particles as the degree of self-similarity increases the degree of communication between beings. Some of the most common behaviors and ‘events derived from this postulate are:

1) Reproductive functions in case of maximal self-similarity or complementarity in energy and form Max Sp x min. Tƒ (male)= Min. Sp x Max Tƒ (female).

2) Social evolution, when points share a common language of information, Tƒ=Tƒ -> 2Tƒ.

3) Darwinian devolution when forms are so different that cannot understand each other’s information and feed into each other: Tƒ¹ o. In such cases if those 2 entities meet they will start a process of ‘struggle for existence’, trying to absorb each other’s energy (when E=E) or simply will not communicate (when E¹E, since then there is neither a common information to evolve socially nor a common energy to feed on). Yet because any point absorbs only a relative quantity of information from reality, self-similarity is relative and it can be faked for purposes of hunting, allowing biological games, such as camouflage and capture, or sociological memes that invent racial differences, allowing the exploitation of a group by another.

The geometric complexity of the 3rd Postulate is caused by the topological forms created by any event that entangles Multiple Spaces-Times. Since it describes the paths and forms of dual systems, which connect points: Self-similarity implies parallel motions in herds; since equal entities will maintain a parallel distance to allow informative communication *without interfering with the reproductive body of each point*.

Darwinian behavior implies perpendicular confrontations, *to penetrate and absorb the energy of the other point*. Finally, *absolute, inner and outer self-similarity* brings boson states, which happen more often to simpler species like quarks and particles that can form a boson condensate as they do in black holes, *where the proximity of the points is maximized. And indeed, the same phenomenon between cells with the same inner information /DNA originates the ‘collapse’ of waves into tighter organisms.*

The 3rd Non-Euclidean postulate is implicit in the work of Lobachevski and Riemann who defined spaces with the properties of self-similarity (Riemann’s homogeneity), which determines its closeness (Lobachevski’s adjacency).

– *4th postulate:* Now because a plane has an inner volume – that of its points – it is a cellular, organic topography, a network of self-similar points. And because networks of points of energy and information are complementary, often we find systems with 2 complementary networks that form ever more complex geometries – based in the geometrical dualities of lineal energy and cyclical information – with the results we observe in nature: *the creation of an enormous number of complementary systems which are, as we shall see latter, all of them self-similar in its geometries and functions.*

*Thus,* the types of Non-Euclidean planes of space-time range from the simplest Euclidean planes to the more complex organisms with a volume given by the relative point/beings that form its space-time networks.

Thus, a plane becomes a real topography made of points with volume, extended as a cellular surface.

We can observe its surface as a bidimensional membrane of information (for example your skin, or the screen of a computer made of pixels, or the sheet of this work). Or we can consider the 3-dimensional inner structure of its points and then it becomes a network with inner motions, as those points will form a lattice in which they communicate lineal flows of energy and information that maintain the lattice pegged. Often 2 topological planes of energy and form combine to create a 4-dimensional organism. Such is the most common structure of the Universe, a 4-dimensional World, which is a Universe in itself, made of self-similar cells or networks of points that constantly exchanges energy and information within the ecosystem in which it exists.

– *5th postulate:* It defines points as informative knots or linguistic eyes – minds of information that absorb a flux of forces used by the point to perceive a relative world. A non-Euclidean point corresponds then to our concept of a relative mind that gauges the information reality with a certain force, similar to the concept of a monad in Leibniz relativistic space-time. In words of Einstein: a point of space is a fixed frame of reference.

Thus, Non-Euclidean mathematics fuses the logic and geometry of the fractal Universe, greatly improving our understanding of Reality even in terms of mechanist measure. Since mathematical solutions to problems with several points of view are impossible to find in continuous space (i.e. 3-body problem in gravitation), given the fact that a network of infinite points of view is local and relative and each point is a focal knot that acts from its perspective.

Thus, the absolute truth of a system is the sum of all its points of view, which influence each other. Yet even if we cannot calculate precisely with mathematics, systems with more than 2 bodies, since those systems are organic, hierarchical, made of networks with attractor points, fractal structures and self-similar paths, the new mathematics of attractors, fractals, scales and Non-Euclidean systems, refine greatly our analysis. In essence, indeed, we observe that ‘networks’ integrate parts/points into wholes, which then ‘act’ as a single point. So in the complex models of i-logic geometry we can tackle many problems by defining sets of points as ‘wholes’ of a ‘higher space-time’.

But the most rewarding consequence of the new language of the mind is the ‘deep’ understanding of the meaning of many experimental facts about the species of the Universe till now merely explained as hows. For example, the previous principle of local measure, where each point is a relative center of the Universe, is called in relativity the diffeomorphic principle, which now becomes explained as a partial case of the wider law we called the ‘Galilean paradox’; the duality particle of information/wave of energy becomes a specific case of the application to physics of the duality of energy and information found in all systems and so on.

The expansion of the laws of quantum theory (complementarity principle) and Relativity (relativity of scale, local measure, etc.) to other sciences and the organic principles of the 3rd and 4th postulate to physical particles is therefore the consequence of those postulates.

Yet it requires the understanding of the new, i-logic, organic laws of the Universe and its networks, because E-mathematics has clear limits to extract all the information of the Universe, given the fact that it syntax includes a priori errors and simplifying postulates (single space-time continuum of points without parts, etc.).

Thus, when the event described is complex, performed by a great number of points/variables you enter into non-lineal systems, which require topological descriptions (chaotic attractors, fractal non-differentiable equations and Non-Euclidean mathematics), and the i-logic laws of organic networks and systems – a better syntax in which to fit experimental evidence, especially in phenomena of informative nature (since only formless energy is continuous and resembles the models built with a single arrow of energy and a single plane of space-time).

So while classic physical systems calculate accurately the energetic, continuous properties of the Universe an overview on how multiple points of view emerge into wholes requires organic laws. Of course, this search of whys also applies to the understanding of mathematics. For example, the previous postulates resolve the long-standing question of what is the nature of the 3rd and 5th postulates that seemed redundant (as the 5th describes also properties of a point like the first does, and the 3rd seem to describe a non-geometrical property). They are no longer redundant, but they are more concerned with causal logic and time than spatial geometry in its purest forms (points, lines and planes.)

There is also self-similarity between the fractal postulates of i-logic geometry (since the 5th is geometrically self-similar to the 1st, as both are concerned with points) and the 4 dimensional time paths/arrows of the universe. This is not casual since all languages of space-times depict in self-similar ways the 4D Universe.

Thus if the 1st and 5th postulates define *a gauging point of information* as the fundamental unit of the Universe, the 2nd postulate defines a line or flow of communication of energy and information between 2 points, which *reproduces* part of the information of the ‘generator’ point across a surface of space; the 3rd postulate defines those points, which are not similar as* energetic* substances that will be absorbed by the points. Yet if those points are self-similar they will gather through the arrow of eusocial love, creating according to the 4th postulate a network of space/time, a new organic plane of existence. So the 4 arrows of space-time are explained by the 4 postulates of i-logic geometry.

**Recap.** The study of the geometric paths of Time Arrows with the tools of mathematics, explains the whys of mathematical laws: Geometry and topology acquire now its ‘why’: topology explains in detail the 3 canonical parts of all Points of view, while the i-logic postulates of geometry explain the universal structures that those points of view create.

**THE FUNCTION OF EXISTENCE ORDERED BY POVS.**

In all systems, the To point of view organises an EXI territory of energy and information separated by a membrane from the field of energy in which it preys. Thus the mind-point of view is the will of the function of existence, and we write synoptically:

To< exi (st), as the ternary symmetry of a head/particle of information, To, which absorbs energy and information and controls a body-wave ixe, which preys on a field of space-time, St, of a lower scale.

A focal mind or point of view tries to order the Universe as a mirror image of its self, by maximising its action of existence, Max. e xi (s=t).

We deduce the function of existence, as the maximisation of the actions of absorption, emission and reproduction of energy and information, which happens, when Max. E x I at the point in which the function is e=i.

We can then define a will point, which will carry those actions according to its best linguistic judgement to a logic conclusion, constantly trying to achieve the reproduction of presents, ExI (s=t), in the point of balance So the Universe is basically a game of present repetition enacted by future points of view of information that tilt slightly the function towards two sub-functions:

Max. E x I (s=t), body-waves of hyperbolic reproduction and…

Max. I (head-particle), the mirror point of view, which unaware perhaps, or selfishly increases its intake of information to form its mirrors, and so a deficit happens always through life in the:

Max. Spe, point of past entropy or field-limbs, which constantly step by step of the sum of actions is absorbed by the self-centred point of view or monadic mind:

This simple equation of the Mind as a knot of time cycles, or ‘fractal non-Euclidean point-world’ or ‘Monad’, defines a sentient Universe of infinite different ‘points of view’, with local ‘diffeomorphic’ space-time perspective and mirror-languages, according to the ‘pixels’ the mind uses to gauge information – atoms in smelling minds, h-quanta in light minds, words in human ones.

But why we see reality still if all is moving in time? Because those mind-mirrors move step by step of ‘space’, as they complete their ‘world cycles’ of existence between birth and extinction.

Each of those ‘quanta of time’ is what we call space: ∂t=s/v, as the formula physics uses to measure ‘space’ distances shows.

The mind is a stop and go process, as that of a ‘digital metal-mind’ in a tv-screen. So Galileo said: the earth moves but doesn’t moves.

The mind stops ‘energy in motion’, **Spe**, into ‘still mental space’, **Sp…**

Tƒ fit more informative images, which are still pictures of Time cycles that mirror the larger moving universe.

So Energy, **Spe,** is space, **Sp**, in motion, and information,** Tiƒ**, is the still form of a time cycle in motion, **Tƒ.**

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

So we see around us ‘fractal spaces, enclosed by time cycles, which carry their information’. The Earth is one of such vital spaces with energy and motion enclosed by a thin membrane, where the human beings act as the informative collective subconscious of the planet. The event horizon encloses the information of the black hole. All around you are broken space-times.

But what about the cycles of life and death, the rhythms of nature, the geological rhythms, the cycles of matter from gas to liquid to solid, to gas… the cycles of history, the cycles of evolution?

Now each science studied its cycles without even knowing they were cycles, as they were then elongated in lineal time, so when they found that alas, the same phenomena repeated, with a frequency ƒ, they didn’t care to study the meaning of those frequency and repetitive events.

Further on, because we were comparing the rhythms of all beings with the mechanical clock uncoiled into a time duration, suddenly the fact that we had internal clocks of time, that we were made of space-time cycles, of clocks of time that occupied a vital space in their cycles (cell cycles, physiological cycles, reproductive cycles, feeding cycles, thought cycles each second, heart cycles each second too) disappeared. The only time was now external, the graph of carte sin coordinates. And so the very obvious fact that we are made of a vital space, a volume of space-time cycles, with our own clocks of time, that we ARE timespace, also disappeared. An absolute background space-time mathematical artefact, the cartesian coordinates became outside of us, the only meaning of time.

From then on of course, nobody understood much. Physicists kept studying with lineal time the motions of beings, and concluded that if they used time to measure motion in space, V=S/T, time was a parameter of space and speed in space: T= S/V.

Hence the expression that time is the 4 Dimension of space, as either in Galileo or Einstein’s formula as we are MEASURING ONLY A TIME-RHYTHM, translation in space, yes, in that formula time is a parameter of space. Physicists did well as their job really was about measuring motions. The science of motion’ was then called.

In this manner they could express the total motion of those cannonballs, or the displacement of a ball along a plane, such as the space crossed by the ball was equal to the number of times the ball cycled: S= frequency x radius of the wheel, or in terms of the frequency of a wave: S= λ (length of the wave) frequency of waves.

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

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

Indeed if time is cyclical some other immediate true properties of reality can be deduced logically from it. We shall put them together into 3 great ‘fields’: __Cyclical time, Fractal space and the Metrics of the 5 ^{th} dimension__ that orders them all.

Indeed, we can easily deduce all those elements and fundamental properties of reality from a simple fact proved ad nauseam by experience, the fact that time clocks are cyclical:

– The __cyclical properties of time clocks__, were simplified in the western tradition, to facilitate measure with the concept of a single mechanical time clock, extended into a lineal time duration, which equalizes all other clocks of nature, facilitating its measure, but looses some of its properties:

– The causal repetition of events, which are indeed cyclical origin of most laws of science.

– The different time speeds in the clocks of species, which vary according to size – from faster smaller to slower larger organisms, a fact ignored by physical theories.

– The fact that beings are NOT positioned in an abstract lineal, absolute, infinite Newtonian time, now reduced to a linguistic artifact or Cartesian plane no where to be seen in nature. So Beings are NOT in time, they are made of space-time cycles, which have motion=entropy+energy and information, form.

All starts in the will of survival of a mapping of the Universe, in a still fractal point of view a mathematico-biological focus of the function of existence, which will try to maximise, Max. E x I(s=t) along a physical vital space-time.

Such will oriented description of super organisms, comes from 0 the point of view monad or mind which does interact with flows of lineal and cyclical, wave-like ternary strategies:

**The Universe is** made of fractal super organisms of space-time** , which can be** easily** mathematized** departing from a generator fractal equation of 3 symmetries of space-time, the symmetry of size, the symmetry of form and the symmetry of motion: ∆ST. Each ∆ST being thus co-exists in three ±planes of bidimensional space-time cycles, which add in the holographic universe its flat and cyclical moving dimensions to become networks of organisms.

10 set of simple laws deduced from the meaning and parameters of any fractal super organism allow us to define all the laws and species of the Universe.

Now all starts with a simple statement: the Universe both conserves its present Spe=†iƒ, presents of existence, and at the same time as Max (Sp x Tiƒ), happens at Sp=Tiƒ, maximises its balance between time and space quanta.

That is there is a constant st, s=t=s=t=s, beating in the Universe, the beating of present closed motion-actions of conservative energy and information, an iteration a fractal spirit, a fractal form, giving in-form-ation and erasing it in 0-closed cycles which equals two arrows of motion, entropy and cyclical order into presents of existence.

To exist is to close world cycles in which the 7 motions of time as we know them today, generation, evolution, growth, locomotion, reproduction, decay and extinction do happen i a sequential time, itself a sum of a finitesmal number of open actions which somehow will mess u to create a cycle in which the ±∆e, i exchanges of energy and information remain also al together a conservative, energy-information S=T cycle. How by magic all the actions of an instant a derivative of the total time energy of the being, become modulated in such a manner as to close a world cycle is as mysterious and magic once understood in its discontinuous docile cycle, of stop and go motions in completion of its accelerations, feedings, informations, reproductions and social evolution – the 5 motions considered in genetic terms here, as short actions, giving to the evolutionary cycle a longer span and to decay a negative symbol to social evolution.

3±∆E, I are thus the 6 actions of space time, growth or diminution in time space and the 5th dimension.

And so travels through space time and the 5th dimension is all what we need to build all the motions and actions of the Universe. The way this happens is what the set of isomorphic laws that describe the whole game of fractal super organisms does with some experiential order.

But in the meanwhile, players have fun travelling through 5 dimensions as they trace those space-time cyclical actions of existence:

** THE TIME-SPACE SYMMETRY: EXISTENCE IN A SINGLE PLANE **

**The 3 fractal timespace motions of the Universe.**

Let us start in a more detailed analysis of the Universe for the simple truths of time motions and its 3 fundamental elements (which seen as static forms of space, will become the 3 topological organs of all beings)

In the graph the 3 finite, fractal time motions of the Universe; its 3 still topological equivalents of space, and some of the systems of nature they create by assemble:

- Explosive, lineal big bang, past entropy motions (the initial, simplest motion, a ‘fav’ of the german physicists ever), measured with the dimension of Time duration.
- Repetitive, vibratory waves (or present, as repetition made reality seems the same constant, repetitive present), measured with the dimension of Time Frequency.
- And informative, accelerated vortices of time, clocks of the future, charges, masses, galactic vortices, which balance the entropic motions of space creating a fractal eternal Universe (since in the future all systems end in a 3rd old age of maximal form, and warping, of maximal information; masses that fall into black holes, men that wrinkle, societies that evolve technological information).

**The cycle of time has more dimensions.**

A cycle has more dimensions than a line. So we have to ad more time dimensions to define those time cycles.

For example, physicists generalize the first arrow of time they understood, ‘death’, ‘chaos’, ‘entropy’, and affirmed all will die, and created a theory of the Universe, called the big-bang based in its PAST death, not ITS FUTURE INFORMATION, to the point that when the arrow of information was discovered they called it ‘negantropy’, and to this date they HAVE not accepted it.

Never mind we live in a GALAXY, that transforms the entropy of vacuum space into masses that grow in density of form, of information guided by a force which is ‘informative’ ONLY, gravitation, and so we live in a VORTEX OF information, reason why live evolves towards higher information, technology increases its information, and at the end we will collapse into the black hole of maximal information at the centre of the galaxy, or worse here on Earth as now PHYSICISTS are trying create black holes and dark strangelet matter of maximal gravitational information, which if it is born will NOT explode into ENTROPY but fold our light mass into information.

For a decade I tried people to understand this so obvious truth. Never mind. The physicist discovered the arrow of entropy studying the heat of gas in vapor machines 2 centuries ago and it will ‘repeat’ and ‘repeat’, with his believer’s mind this mantra.

And needless to say he also ignores this **3rd arrow of time, **which he repeats when talking of ‘death’≈’big bang’≈entropy** – ‘reproduction’, ‘repetition’, or ‘present’ time** (as a present does not seem to change, hence we call it a present, as when we said, when we return to the slow time moving place we were born, ‘it is all the same here, it seems as it time has not passed’. Indeed, the speed of time in that region is slower, the arrow of information is not moving so fast, and things repeat as a present.

So here we are. Time has 3 arrows-motions-dimensions, past-entropy, present-repetition and future-information.

*And we shall construct all what exists with those 3 fractal motions of time.*

Now look at these simplest time cycle: π=perimeter=3 Diameters+0.14 for a cycle, or πerimeter=3 for an hexagon, or a mass with a lot of curvature. This is the simplest transformation of a line of space with 3 steps into a cycle of time. We use though because our clocks close the cycle a sexagesimal mechanism, based in the perfect hexagonal cycle of 6 ‘radius’=3 diameters, to measure time cycles.

Time cycles are thus the meaning of it all, the fundamental particle in which to base a Theory of Everything, or T.O.E. which is a sum of Time Cycles, **T.** that transform Spatial Energy, Spe**,** into temporal information, with cyclical Form, Tiƒ**.** back and forth**,** ad eternal into Present Space-time Beings – S**T.œ:**

‘The Universe is a sum of fractal knots of cyclical space-time actions that transform back and forth, spatial energy into temporal information, ad eternal: ∑ Spe<≈>Tiƒ”.

This simple sentence and its equation, a ‘Fractal generator’ (a feed-back, dynamic cyclical equation that constantly reproduces and combines the 2 polar elements of the equation; in this case spatial energy and its quanta, lineal momentum, and cyclical information and its quanta, angular momentum), embodies the fundamental principles of physical sciences, the principle of conservation of energy, information, lineal and cyclical momentum (the 2 poles of the equation), and we shall see can be used to describe all the space-time cycles of the Universe.

Since all other systems of nature are also made with a cyclical or spherical pole (To-head-particle) the form that stores more information in lesser space, and lineal Se-limbs-fields that move them, the form that moves faster between two places.

So the ultimate principles of reality are rather simple. We are all knots of space-time cycles, lineal and cyclical motions, stored in our heads-particles and limbs-fields, combined into our <≈> body-waves that reproduce our energy and information. We are a game of time cycles, reproducing between birth and extinction. And the description of that game is what is all about.

All has a beat, a rhythm, and the most important rhythm is between the two fundamental states of reality, motion and stillness, energy and information, stop and go, time and space, function and form:

Ti>Se<Ti>Se<Ti

Where T is a time motion, S a still form, > the change of motion into form, or ‘informative flow’, and < the expansion of a still form into motion. But if you take two of those steps you get an ST mixed motion with form, a present, repetitive wave.

All the varieties of those 3 motions and forms, the pure y-information and yang, energy and its infinite combinations, | x O= Ø.

**Φ. The inverted properties of space and time and its metric equations.**

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

∆(Ei): Tƒ x Sp

That is, Spe x Tiƒ = Constant, which is the SPATIAL PERCEPTION OF IT, as fixed form, and Spe ≤X≥Tƒ which is the dynamic temporal perception, to which we aggregate the entropy <, information >, parallel, social ≈ and X Darwinian possible combinations of those poles.

In this manner a feed back equation Se<ST>Tƒ, starts to create combinations by mixing the dualities of stillness and motion, line and cycles, individuals and wholes, which are the 3 games the Universe play. We can call those games as:

|>O<|: The game of life and death, whereas in the arrow of life |>O, the system increases form and in death, O<| releases it.

∑U∆-1<=>U∆, the game of parts and wholes, which then become joined into wave-particle systems, whereas >∆ is the arrow of future.

Se<ST>Ti, the Spatial game of simultaneous measure in space of 3 complex systems dominant in each of the 3 arrows (limbs/fields of Se; waves/bodies of St, and particles/heads of Tƒ.)

Now, all those combined games, make much more complex the dimensions of time and forms of space..

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.

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 other words we could write, To =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:

Spe x Tiƒ (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. Spe x Min. Tiƒ , Spe =Tiƒ and Max. Tiƒ x Min. Spe

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:

Now, in those graphs we can see the most classic ‘generation’ of ‘meanings’ in the Universe, by combining the 2 ‘forms’, the line and the cycle, and the two ‘motions’, the lineal motion and the cyclical one (and its SxT combinations of waves and hyperbolic bodies).

If we restrict to that first generation, and consider |-S <≈> o-T, to be the essential duality, we can study its combinations.

A perfect, still, lineal, ‘extended space’ with no motion and no perceivable form: |-S, or space.

A still cyclical form, or with minimal motion, as information. A lineal motion, entropy or with min. form, energy. ST.

A perfect cyclical form or’Time clock, Tƒ.

As the Universe starts to mess rhythms of motions that decelerate and expand into space, becoming still or accelerate inwards and become cyclical motions of time. As the observer changes its perspective enlarging and hence stretching cycles into lines of lesser curvature, and vice versa, the forms of the Universe also change. The graph shows our choice of 4 words to explain them, |-Space, res extensa with no perceivable motion, O-Mind, still cyclical form, |-entropy, expanding motion and O-Time, accelerated cyclical motion, and the somewhat more conceptual, less defined, energy (tending to lineal motion but with form) and information (tending to cyclical form that with motion), where we ‘put in’ as humans do, in a similar conceptualisation to that of spaces and times, the two inverse elements of the Universe.

Thus it must be cleared, that the logic equations of the Universe are fractal, conceptual, dualities, based in inversions and symmetries of two poles that come together vibrating into 3 points, of Max. S≈E, Max. T≈I, S=T, E=I, of maximal, minimal and balanced states, ages, forms.

This is the game, 2 limiting functions, opposite to each other, of relative past and future, combining into relative present, E=I balanced points.

The universe is not a quantitative but a logic not a material but spiritual game, and the quantitative and material reality and perception of the game as such comes only AFTER.

Let us define the symbolism of Existential algebra and study its main equation, from where we deduce all other isomorphisms of the Universe.

**The world cycle of existence.**** Travel through the 5th dimension.**

In Fractal mathematics the equation that generates the fractal is called a generator ‘feed-back’ equation. They are symbolic equations, which express operations that repeat themselves ad infinitum, generating new solutions, accumulated in time or space.

For example, Mandelbrot’s set, the most famous fractal is a simple iterative equation defined in the complex plane, which generates points in that plane with infinitesimal detail. So as we run the equation z(n+1)=z(n)²+c the points plotted in the plane form an image:

But a Fractal Generator does not need to be a numerical equation. It can be a symbolic, logic equation that generates ‘logic structures’. If we substitute the values of each of the parameters of a logic generator, then we obtain varieties of the form the logic equation defines.

This is the case of the Fractal Generator of the Universe that represents the i-scalar dimensions of any system of scalar space-time. Thus it defines the logic structure of all Systems of the Universe. And when we substitute each of those dimensional symbols for a specific variety of the dimension, we obtain a certain species of the Universe.

Yet to fully develop the formalism of T.Œ and the metrics of the fifth dimension we must enlarge our understanding of the languages of the human mind that perceive time (logic) and space (mathematics) and its scales (analysis). So this blog advances both the logic of time and the geometry of space, by developing a more complex logic beyond the Aristotelian and physical use of a single arrow of energy/entropy, adding the arrow of informative time, and its combinations.

It develops also a complete model of Non-Euclidean geometry, by extending the consequences of the 5th postulate (points do allow infinite parallels to cross them, hence they do have volume, parts, they are fractal points that grow into a whole, when we come closer to them. So we shall take the findings of quantum and relativity to its natural conclusions. But physics is NOT the centre of this TOE, but just one of the layers we study. In fact, the greatest advances of T.Œ will be in the understanding of Biology and Social Sciences…

**The Planes of the 5th dimension.**

Now the reader should observe that the ‘life’ of the Universe is much larger in its cycle, than the life of a human being, which is shorter than the life and III horizons of any species,including the human one . So actually we observe that each fractal space-time has a different time duration in its cycles, which is somehow related to its size – the larger things last longer.

How can we order then all those time motions and space forms, including its causal space-time cycles a? How can we order its different spatial sizes and temporal speeds?

If we order those motions by spatial size (extension) and cyclical speed (time clocks), we find that both balance each other, giving birth to a 5th dimension of scales, and its con-invariant metrics:

** ****Λ****.** Spe (spatial size) x Tiƒ (cyclical speed) = Constant.

They explain all kind of interactions between faster, smaller beings with more cyclical form, which store information and larger, slower beings with more Spatial entropy; which together co-exist in organic systems (cells and organisms, atoms and cosmic bodies), whereas ‘information moves upwards’ (genetic, quantum and verbal coding of larger systems) and energy-motion downwards (wholes that perfectly synchronize the motion of its parts).

Since smaller systems have faster time cycles (Tƒ) and hence store more information in the frequency and form of those cycles, coding larger systems, and vice versa, larger systems have more size-energy, moving smaller ones in synchronicity. So we do talk of two inverse arrows of time: upwards from parts into wholes that transfer > information and downwards from wholes to parts that transfer < energy.

And for that reason from lower to upper systems there is entropy (energy is lost) but information flows perfectly (genetic coding); while from larger to downward systems there is perfect transfer of motion (your cells move in order with your whole) but not perfect transfer of information (no Lamarckian evolution).

Again the number of whys and solutions provided by the 5th dimension of social evolution, with a clear arrow towards the future (bigger wholes requires past parts ‘before’ they can be build) is enormous, and it connects directly TOE with the 2 other parts of mathematics besides spatial geometry – sequential temporal algebra, where smaller numbers do come first and hence bigger ones become the orderly future; and analysis of infinitesimals that become wholes.

But the fifth dimension of scales of space-time, beyond its epistemological power to locate each science within the context of the scale of sizes it studies, allow us to classify all systems of Nature, precisely by the surprising fact that those scales have a dual, inverse order: the product of the size of systems and its rotary speed in its time clocks is inverse.

So bigger wholes move slower than smaller parts, and hence smaller parts have more information, stored in the frequency and form of its time cycles, and can co-exist, synchronize and develop complex organic systems that extend across at least 3 planes of the 5th dimension (∆-1 cellular, i-organic, ∆+1 social plane in biology; ∆-1 quantum; i-thermodynamic and ∆+1 gravitational plane in physical systems; ∆-1 3rd energy, class; i-working, re=productive class and ∆+1 informative classes in social systems).

So we have also a new relative future, that of wholes which require parts that come first.

And so if we call each fractal space-time being, a relative world cycle, when we consider all the beings of all the planes of existence of all possible realities together, we can then define a new concept of absolute relational space-time, sum of all of them, the arrow of future of the 5th dimension, and this one is ALSO dual in the sense that constantly parts become wholes, but then dissolve back.

So he affirmed that the Universe was the sum of infinite mind-worlds, which did not speak necessarily the same languages, and created the same mappings of reality we humans created.

So we shall first define those o-points mathematically, as minds, or fractal, non-Euclidean points, the fundamental unit of the organic Universe, which are crossed by a relative infinite number of parallel forces, which are the bits of information used by each of them to create a mapping, linguistic mirror of the Universe.

‘Infinitesimal self-centered O-Point x ∞ cycles of space-time’ = 0 x ∞ = C-onstant Linguistic Mind mapping of the Universe’.

So each o-point eliminates information from the ∞ beings in existence to reduce its information to an infinitesimal. In the human case, we reduce the 4 dimensions of our plane of existence to 2 dimensions for each eye, eliminating depth and motion to fit all that information in the mind.

So we convert time cycles into forms and they seem solid to us, and we convert vacuum space with entropic motions into lineal distances.

This is the most important property of those points of view – *the capacity they have to reduce the Universe into a mind image, of linguistic nature, which explains the duality between ‘motion perception and form’, as all is motion, either cyclical time motion or space-kinetic energy motions but the mind reduces it to a still image, as Heraclitus or Buddha first realized, considering that the stillness of the Universe is a Maya of the senses.*

**The languages that reduce Universe to still, ternary worlds.**

Thus what is real is the duality of motions, infinite cyclical and lineal motions, which are used by different minds to replicate reality into still minds that map part of those motions to create different worlds.

For example, Computers use O and | to create models of the Universe.

Humans use words also in a ternary symmetry, where the point is the 0-subject, the energy of the point the |-object, over which it enacts a verbal action. So when we say ‘I eat bread’, ‘I’ is the point, ‘bread’ the object of vital space, and ‘eat’ the feeding implosive action. This allowed linguistics to create the Universal Grammar of all languages:

Subject (0-point) < Verb (action: O x |) > |-Object (Energy of the subject).

On the other hand visual languages are also ternary in colors and forms. So the eyes use lines and cycles to create ‘conic curves’, which are all the curves that exist in Euclidean Geometry and so on.

So we can now extend our definition of reality to include its 3^{rd} elements, which conform a word, whose infinite sum creates the Universe:

*A Constant, Dynamic World is born of the interaction of both formal motions, vital spaces, enclosed by times connected by a mind that measures them: Ø”*

*The Universe is a puzzle *sum of ∞ such Worlds:

*U= ∑ Ø x ∞ = C’*

This is what Descartes explained to the (Human) World, sum of all human minds.

We were all, so to speak, thoughts of God, the Mind of the Universe, understood as the underlying language with the common ‘isomorphic laws’ shared in the construction of all those ‘virtual worlds’, including the human world, since you are not watching the Universe, but the electronic image, your eyes and brain constructs with rods of space, called ‘light-speed’, and cycles of time, called ‘h-quanta’, pieces of lineal and angular momentum that build up the puzzle of your mind.

**Descartes vs. Galileo: Knowledge vs. power.**

But nobody understood among physicists, because while Galileo had failed to be ‘the delight of philosophers’, his lineal time had become of great use to artillery masters, which carried the day and made him and his family, dedicated to manufacture ‘military instruments’, among them the famous ‘spy-glasses’, today called telescopes that allowed the Venetian navy to see on advance the enemy fleet, one of the wealthiest men of renaissance Italy.

Now, a pause. Let us be clear enough, philosophers of science love physics, how couldn’t be otherwise.

Physics is the Universe in *its entire description through its 6 motions of time*, in its whole and its parts, with all the properties, organic, mathematical≈mental and inorganic, derived from those 6 motions, even if we are aware of the shortcomings of lineal physicists, with its obsession for locomotions and the ego-trips of their human mind, so often as the case of Kepler, Newton and the authors of the big-bang ‘polluted’ by the lineal concept of time of Abrahamic, anthropomorphic religions.

Descartes was also a physicist, besides a mathematician, and a philosopher. It is though important to distinguish between ‘physics’, the universe in its full description, which we shall call as part of T.Œ, Astrœ-physics (-; and ‘physicists’, the lineal point of view of the world of artillery masters and Abrahamic Believers – which IS *culture* not science, as it reduces physics to locomotion.

We shall therefore study here as a philosopher of science, in the full tradition of the word, astrœ-physics and if this post is found in the larger web on the full T.Œ, all other sciences with the 6 motions.

This said it is obvious that today the philosopher of science has no dictum, and his wider view is ignored. Moreover, as the physicist bullied its limited view with artillery masters, and the parallel inquisitions of Abrahamic religions and anthropomorphic beliefs kept imposing its lineal vision of Nature over that of Darwin and Evolution, the philosopher of science reduced its inquire to what today we study in philosophy of science – the scientific method, which is ONLY the first step of T.Œ.

We thus regain with our work, the true purpose of philosophy of science, which was carried about by Aristotle, Descartes, Leibniz, Darwin and Hegel (and its disciples in social sciences, Marx, Kondratieff, Spengler, and finally the practitioners of systems sciences and theory of information, albeit poisoned by the lineal concepts of Physics – Shannon’s definition of information as lineal messages, etc.)

Unfortunately the limits of inquiring only lineal time motions to explain the meaning of it all, amounts to a constant deformation of reality similar to that of the Abrahamic cults or the Ptolemaic use of the Earth as the enter of the Universe.

Yet those limits are today ignored, by the imposition mainly through the power of technology and the propaganda of those who create machines and weapons as the ‘seers’ of time (the old definition of Augustine of ‘God’) of a reductionist view of lineal motion as all what is worth to know about times.

So of course, it is necessary to make also ethic statements on the worldly profession of physicists –to make weapons of lineal energetic motions – to account for many of its theories of time – in fact all of them, Galilean’s artillery motions; Clausius, entropic, steam-machine motions and Gamow’s, big bomb bang theory of the Universe. This is a topic, but *topics exist because they carry truths, and they endure when censorship of their truths oblige them to become topics.*

The reduction of the 6 motions of time to a single external translation, where time merely is used to study the change in the speed and position in space of a being in lineal fashion is NOT a truth of Nature, but a truth of artillery masters, which once formalized became a canonical formula that excluded all other time formulae.

So this locomotion, described merely with a single mathematical formula by Galileo, V=S/T, converts Time in a parameter of space, S=vt, or in Einstein’s-Minkowski’s version, S=ct. This means that as ‘things that are compared must have the same dimension and form’, Time must acquired the fundamental property of space, which is to be a lineal, open extension. And by reason of this fictitious linearity of time, to be converted into a perfect line which is an Euclidean parallel extended to infinity.

The 6 motions of times thus became a single mode of change, their cyclical clock-like form, a lineal parallel, the finite duration, an infinite lineal duration that ‘walks’ along an infinite space line. And both written in an abstract Cartesian single plane of reference, which in paper seems to extend to infinity and be unique, became the absurd concept of an infinite space-time continuum, that only exists in the imagination and the paper in which the model was drawn.

**The Euclidean Mind of light-space. Kant.**

Newton indeed believe mainly in 2 things: Yahweh and absolute lineal time and space, a background abstract reference set up by God, who talked to him with comets.

So he studied the Cartesian graph, when reading ‘La geometrie’ which he acknowledged was the beginning of his interest for science.

But for him the graph and its lineal coordinates were not merely the human mind-world, but the graph that represented ALL of reality, which he blew to cosmic proportions and affirmed to be the graph of the absolute Universe and its space-time. This is NOT truth, and we will bring here a simple proof, derived from Kant’s realization that we ‘see light space-time’, because the ‘human mind is Euclidean’, which latter influenced the perception of painters, creating impressionist, as they realized also that we do NOT paint reality but light, THE RELATIVE SPACE-TIME our electronic eyes measure:

A light quantum has the 3 perpendicular dimensions of the informative electric field, the magnetic entropic field and the lineal c-speed that reproduces the wave. And those are the 3 exact perpendicular dimensions of our perceived space, as our eyes are electronic and feed on the information of light – hence also establish light as its fixed rod of measure or constant space, (relativity) but the universe has multiple world-views, and some are non-Euclidean (gravitational worldwide) some are atomic (smelling worldview) etc. Human eyes and mechanical eyes though are electronic, and their bits of information visual, hence Euclidean:

*In the graph the Euclidean world is caused by the 3 perpendicular arrows of light space-time to which we add the social colors. 2 more elements are needed to define our human space-time, first the organic relationships between our electronic eyes that feed on light, and the properties of information – as information is perceived in stillness, in an stop and go motion, similar to that of a film – so electrons go and move as waves, stop and feed and perceive light as particles, entangling its distances with other electrons in ‘fixed’ distances. Hence c-speed is always constant, our rod of space, as relativity proves, without giving the proper i-logic explanation.*

It is indeed essential for the reader to understand that linguistic mappings, stifle and deform the objective similarity of all beings.

So all kind of distorted images that carry a certain truth are possible, and relatively correct, but ONLY an objective analysis from the widest possible perspective, will make sense of all of them.

This widest Theory Of Everything, naturally can only be proposed by a Philosopher of Science, whose task is precisely to understand all the varieties of ‘formal motions’ and ‘ternary symmetries’ in space and time, measured by the infinite frames of reference of the Universe.

While each science and scientist will study a particular form and type of species in its detail, with more or less deformation according to the linguistic models it proposes, its specific ‘ego-centered paradox’ and the ‘worldly profession’, it engages with. Which of course the Philosopher of Science must also explain, to the chagrin of the different ‘Religions’, ‘Cultures’ and ‘Minervas of the North’, and the sure solitude that will engulf his work.

So how can we differentiate subjective truths, and biases? To that aim the philosopher of science has created the ‘Scientific method’, which the likes of Aristotle and Descartes established, and the likes of Galileo and Newton usurped and deformed.

But as we said all relative truths carry certain information, which is valid to create a mapping of reality and that is why subjective versions of reality do work and remain standing. Indeed, Ptolemy could perfectly establish the orbits of planets with the Earth at its center, just adding epicycles. But it was a very complicated motions. Thus Science considers the fundamental ‘tool’ to distinguish a higher objective truth from a subjective one, called Ockham’s razor: the simplest theory of reality which can explain the maximal number of facts is a more objective truth.

**Precisions over the mathematical concepts of form ≈ information **

Now it must be stressed to give enough mathematical rigor and qualitative accuracy to this blog that information is similar to Temporal Form, as it is carried by time clocks.

Further on information is proportional to the frequency of those time clocks in its volume. And the message of the information is carried in the form of the waves or fixed form we perceive. But temporal form is NOT the same mathematical concept that what Shannon and other ‘humans’ defined as information. Since for humans information is in-form-ation, form-in-action, that is, form which is communicated and perceived by a human receptor, and so it is carried normally by waves, that add a lineal component of spatial speed, or motion to the pure temporal form of the clocks of time.

*Duality of form and rotary motion, and the sciences that use those parameters.*

The closest mathematical concept to Time forms would be ω, angular frequency or rotatory motion for physical systems; and for all other systems, where the form is more important than the frequency,* dimensional form is the key element.*

Now the duality between ‘form’ vs. ‘rotary motion’ as the measure of Tƒ, also must be understood in terms of planes of space-time. Astrophysical systems are described with ‘rotary motions’. Biological and sociological systems are better described with ‘the qualitative form’ of the time cycles. Why?

The ‘exact, precise measure of the frequency as the only ‘parameter’ studied about a time cycle is only ‘more’ important in far away planes of space-time submitted to uncertainty of perception, given their far away distance in ‘its plane of existence’. Since we observe only its speed but hardly its form. And this is the case of astrophysical objects, in which Heisenberg uncertainty and dark energy/matter obscures perception of form.

*Since minds, and you must always understand that the mind is the central element of perception and knowledge, perceive first motion (so insect eyes see only motions) and then form. But form is more important, contrary to belief that motion in the coding of information, as Proteins show. Dimensional Form and rotary motion are thus 2 parameters, which differentiate how closer sciences perceive Tƒ, and astrophysical, far away ST-planes see it.*

Now the brain stops and eliminates motion of closer things to see without blur form. The brain has limited perception in its infinitesimal point so it sees only a ‘bit’ of all the information of a system, and tends to fix information into form, eliminating motion and mapping the whole infinite Universe in its zero point, which gives us its equation:

*Mind = O-point x ∞ World = Constant mapping. *

And this is the mathematical explanation of the Galilean paradox: we do not want to see the motion of Earth to blur the forms of the beings we see around us.

And this is also our justification for the constant exchange of al those concepts and the use of Tƒ as temporal information. We are more interested in the quality of form, since it would be silly to talk of the speed of a protein, but we need to know the Dimensional Form of the protein; or of the speed at which we eat in a cycle of feeding, but of the quality of the cycle (feeding as opposed to reproducing etc.) This puzzles Physicists, which have the bad custom of thinking their ‘lesser’ science is the only thing that matters, so care nothing about the ‘whys’ and the ‘forms’, and the evolution of them, complex concepts that do get a better description with verbal causal time languages. We bridge this difference with extensive use of topology, the mathematical language of forms in motion.

Now the fact that form is more important than motion in information and that is why we classify information among the parameters of Tƒ, is shown in physical waves, *which have as main purpose to carry information. So physical waves loose ‘energy’ as they move away from the focus, but maintain the form of its information constant across enormous distances, as that is their purpose in the ‘intelligent, sentient universe’.*

This ‘sentient’ concept, is also denied by physicists, but ‘strictly’ needed to explain the origin of informative order in the Universe, and to solve as show quantum effect rationally (such us uncertainty which merely means the electron perceives the incoming bomb of the observer and changes from i=st-1 spread herd configuration to tight i=st particle state, as any herd does in front of danger, from schools to combat formations). Sentient perception of dimensional form with a mind mapping is thus the key element which explains why form matters to all beings within a certain Space-time Plane.

Speed of rotary motion or frequency however matters to deliver ‘fast information’ and specially to *processes that involve travels through the 5th dimension: Sp xTƒ=Constant. *

*Whereas the smaller S implies a faster Tƒ, and hence the inverse properties of Spatial motion and Temporal form.*

The many ways we write those metric, Sp x Tƒ=∆, Se x Tƒ=Ei, ExT=ST, or my favourite, ExI=ST, the function of existence tries to convey the complexity of the entire Universe and the way* different minds select and perceive only a part of the whole properties. So for some perceivers, Space will be quiet space, for others will be motion for others Energy, depending on the number of space dimensions, time ages and st=i-scales of the 5th dimension the system perceives. *

And so it happens with the perception of information as information, as form, as cyclical motion., depending on the number of dimensions and scales we observe and fusion within the mind.

Thus ‘salvo’ mathematical equations in the physical planes that translate the concepts established by classic physics, we shall exchange constantly all those similar terms, in general analysis and be more precise when we study, specific details.

(In ∆ST contrary to simplex science, physics is NOT that important, as the number of space-time planes of the Universe are infinite and so the fact we perceive far less about strings and galaxies made their knowledge reductionist and shallow as opposed to the maximal information we obtain of the human scale. So humans are the measure of all things and biology the queen of sciences).

*Recap. *Rotary motion, time clocks and forms are the 2 parameters of Tƒ, one of the 2 components of all realities. Information is the perception of Tƒ by humans, which require to mix it with motion that transfers the form to the mind, hence information is mostly carried by waves with form and motion.

**Fractal space and cyclical time: 5D metric.**

Now we shall deal with those two equivalences fundamental to the metric of the 5th dimension and the organization of systems as dual complementary systems with heads/particles of information and body/waves of energy, moving along fields/limbs of pure motion, in a simplified, qualitative manner first, so the reader understand an essential duality of the Universe derived from the co-invariance of the 5th dimensional metric: Sp x Tƒ = Constant

The space-time nature of beings encodes the secrets of its forms in space and its life-death cycles in time. This is what we are: ‘vital spaces’ with energy and motion, performing time cycles, called ‘space-time actions’, which added together form our existential life-death worldcycle, as beings made of ‘relational space-time’. *So we write a conceptual equation to describe the nature of all the beings of the Universe: U = ∑ Sp x Tƒ= ST±4.*

*But what is exactly the full meaning of ‘space’ and ‘time’, beyond the shallow description of measure proper of physical sciences. The full understanding of all its properties, is truly the key to grasp the whys of the Universe.*

*So we will dedicate for each of the terms of that equation, ‘spatial energy’, ‘temporal information’, and scalar actions of space-time, a post to study the whole range of meanings in detail. *

*As once we grasp them, we will be able to ‘build up’ the complex systems and organisms of the Universe departing of its spatial, temporal and scalar properties.*

Spatial Motion, ‘S’ for space and lineal, inertial speed and its ‘communication between planes’ or ‘energy’ is one of the two initial elements of the Universe – the other being Cyclical motion, clocks of time, and information. In this introductory post we consider the relationships between space (still perception) and motion or speed (moving perception), and the equivalent function ‘across planes’ of existence (energy, in which the transfer of motion, back and forth between planes is made through a ‘scalar’ magnitude (mass in the ST=4-6 scale, charge in the 1-3 scales).

We also introduce the equivalent concepts of cyclical time, time clocks, rotary motion, form (its still perception) and information (transfer of form back and forth between planes).

Then we deal with the second fundamental element of ∆ST description of space, its structure as continuous motion or discontinuous networks of ‘non-Euclidean points’, with parts. The fractal, scalar structure of space-time requires the evolution of mathematics to define a ‘fractal point’ with parts in which the perception of the form of the point as a point with volume crossed for infinite parallels increases as we come closer to it. Thus the geometry of the Universe is fractal discontinuous, non-Euclidean made of ‘i-points’ with volume that form bidimensional networks, which evolve into organic systems across multiple scales.

*‘The parameters of space-motion energy and time-form-information are inverted.’*

And then after this introduction we shall do a deeper more strict analysis of those 3 parameters, space-motion-energy on one side and information-form-time clocks on the other, to fully grasp the depth of scalar space-time planes.

The most fascinating of the 3 varieties of bidimensional space times is the sphere, which can shrink in size without limit (Poincare conjecture). Thus all systems have external sensorial membranes that transfer information to a central zero point, defining a general equation for all minds:

*0-point=mind x ∞ World = Constant mapping of the Universe.*

Thus the 5th dimension, requires both a better understanding of Non Euclidean geometry and the holographic principle of the bidimensional cosmos.

I called this Non-E geometry of 2-manifolds, i-geometry, the next letter, so we shall use it from here on. It became evident that the true advance of our comprehension of space and time was dual: on one side to return to the concept of infinite cyclic times, measure by frequency (the speed of the cycles), which is the inverse equation to lineal duration (the length of all those cycles put together): ƒ: Tƒ=1/duration=1/T.

The creation of dimensional membranes, in layers, in which motion and form are the same sides of the same lineal space concept, |-s, give us a growing universe of increasing scales and dimensions:

Now it must be stressed to give enough mathematical rigor and qualitative accuracy to this blog that information is similar to Temporal Form, as it is carried by time clocks.

Further on information is proportional to the frequency of those time clocks in its volume. And the message of the information is carried in the form of the waves or fixed form we perceive. But temporal form is NOT the same mathematical concept that what Shannon and other ‘humans’ defined as information. Since for humans information is in-form-ation, form-in-action, that is, form which is communicated and perceived by a human receptor, and so it is carried normally by waves, that add a lineal component of spatial speed, or motion to the pure temporal form of the clocks of time.

*Duality of form and rotary motion, and the sciences that use those parameters.*

The closest mathematical concept to Time forms would be ω, angular frequency or rotatory motion for physical systems; and for all other systems, where the form is more important than the frequency,* dimensional form is the key element.*

Now the duality between ‘form’ vs. ‘rotary motion’ as the measure of Tƒ, also must be understood in terms of planes of space-time. Astrophysical systems are described with ‘rotary motions’. Biological and sociological systems are better described with ‘the qualitative form’ of the time cycles. Why?

The ‘exact, precise measure of the frequency as the only ‘parameter’ studied about a time cycle is only ‘more’ important in far away planes of space-time submitted to uncertainty of perception, given their far away distance in ‘its plane of existence’. Since we observe only its speed but hardly its form. And this is the case of astrophysical objects, in which Heisenberg uncertainty and dark energy/matter obscures perception of form.

*Since minds, and you must always understand that the mind is the central element of perception and knowledge, perceive first motion (so insect eyes see only motions) and then form. But form is more important, contrary to belief that motion in the coding of information, as Proteins show. Dimensional Form and rotary motion are thus 2 parameters which differentiate how closer sciences perceive Tƒ, and astrophysical, far away ST-planes see it.*

Now the brain stops and eliminates motion of closer things to see without blur form. The brain has limited perception in its infinitesimal point so it sees only a ‘bit’ of all the information of a system, and tends to fix information into form, eliminating motion and mapping the whole infinite Universe in its zero point, which gives us its equation:

*Mind = O-point x ∞ World = Constant mapping. *

And this is the mathematical explanation of the Galilean paradox: we do not want to see the motion of Earth to blur the forms of the beings we see around us.

And this is also our justification for the constant exchange of al those concepts and the use of Tƒ as temporal information. We are more interested in the quality of form, since it would be silly to talk of the speed of a protein, but we need to know the Dimensional Form of the protein; or of the speed at which we eat in a cycle of feeding, but of the quality of the cycle (feeding as opposed to reproducing etc.) This puzzles Physicists, which have the bad custom of thinking their ‘lesser’ science is the only thing that matters, so care nothing about the ‘whys’ and the ‘forms’, and the evolution of them, complex concepts that do get a better description with verbal causal time languages. We bridge this difference with extensive use of topology, the mathematical language of forms in motion.

Now the fact that form is more important than motion in information and that is why we classify information among the parameters of Tƒ, is shown in physical waves, *which have as main purpose to carry information. So physical waves loose ‘energy’ as they move away from the focus, but maintain the form of its information constant across enormous distances, as that is their purpose in the ‘intelligent, sentient universe’.*

This ‘sentient’ concept, is also denied by physicists, but ‘strictly’ needed to explain the origin of informative order in the Universe, and to solve as show quantum effect rationally (such us uncertainty which merely means the electron perceives the incoming bomb of the observer and changes from i=st-1 spread herd configuration to tight i=st particle state, as any herd does in front of danger, from schools to combat formations). Sentient perception of dimensional form with a mind mapping is thus the key element which explains why form matters to all beings within a certain Space-time Plane.

Speed of rotary motion or frequency however matters to deliver ‘fast information’ and specially to *processes that involve travels through the 5th dimension: SxTƒ =Constant. *

*Whereas the smaller S implies a faster Tƒ, and hence the inverse properties of Spatial motion and Temporal form.*

The many ways we write those metric, Sp xTƒ=C, SexTi=∆, or my favorite, ExI=ST, the function of existence tries to convey the complexity of the entire Universe and the way* different minds select and perceive only a part of the whole properties. So for some perceivers, Space will be quiet space, for others will be motion for others Energy, depending on the number of space dimensions, time ages and ∆-scales of the 5th dimension the system perceives. *

And so it happens with the perception of information as information, as form, as cyclical motion., depending on the number of dimensions and scales we observe and fusion within the mind.

Thus ‘salvo’ mathematical equations in the physical planes that translate the concepts established by classic physics, we shall exchange constantly all those similar terms, in general analysis and be more precise when we study, specific details.

(In ∆ST contrary to simplex science, physics is NOT that important, as the number of space-time planes of the Universe are infinite and so the fact we perceive far less about strings and galaxies made their knowledge reductionist and shallow as opposed to the maximal information we obtain of the human scale. So humans are the measure of all things and biology the queen of sciences).

*Recap. *Rotary motion, time clocks and forms are the 2 parameters of Tƒ, one of the 2 components of all realities. Information is the perception of Tƒ by humans, which require to mix it with motion that transfers the form to the mind, hence information is mostly carried by waves with form and motion.

**Precisions over the mathematical concepts of Space =motion ≈ Speed ****≅****energy.**

Also we must stress that the concept of spatial speed is not the same that the mathematical concept of Energy, since spatial motion, is more akin to ‘speed’, pure motion. But we call it S, not V, the definition of ‘celerity’ or ‘velocity’ in physics.

Since when we study in detail parameters such as velocity=V, physicists use ‘lineal time duration’, in their formula, and we use the true nature of time, cyclical time frequency.

Then V= S/T becomes S x Tƒ, which is a measure of the reproduction of a finite Space step or quanta of finite distance, multiplied by the frequency of those steps.

So for example physicists write for a wave: V= Sx Tƒ = λ x ƒ, where lambda is the wave length and ƒ the frequency of its steps.

Why we go through all this trouble? I would like to say ‘it is not my fault’ that humans have in the 3rd paradigm of science, the age of measure, simplified and deformed the true nature of cyclical time, inventing an artifact of measure called lineal time. We cannot use an artifact, to get the whys and meanings and understand the forms and planes of existence with different frequency of clock times if we do NOT use the true parameters. So we at best give translations for simplex sciences, in the hope in the future if humans want to fully grasp the unity of all systems and planes and the 5th dimension, shift or at least make parallel analysis using the proper time measure, frequency.

Now to avoid confusions, we talk of Speed as S and Space as S, and simply state that they are the same but change depending on the way the mind perceives it, as when we see fast cars in the night as imprinted lines of light.

Energy on the other hand, is a very complex concept, which greatly differs in human experience and physical measure. Its relationship with Spatial motion though is similar to that of Information, which is dominant in form but participates of motion. Or in mystical terms every yin=form has a bit of yang-motion and vice versa. the Universe in fact is precisely about mixing non perceivable pure motion with no form (st-4 plane of gravitation) and pure form without motion (black holes of the st+4 plane) as we explain in our analysis of st=U±4 scales.

So we could say that energy is the equivalent of information: motion with some form.

Thus we write three degrees of diminishing similarity = equality, ≈ similarity, and ≅ approximately similar :

S ≈ V ≅ E

(all these concepts of relative equality are more precisely defined by the 3rd non-Euclidean postulate of relative equality as now points have ‘depth’ and so they have inner parts, and we don’t really ‘see’ them completely so there is camouflage, similarity etc., see more down below).

Let us explore a bit more this concept, as it ’emerges’ with differences in different planes.

*Energy in the st=U±4 Gravitational, ‘invisible plane’.*

In string physics, the minimal unit of the st=i-4 plane, gravitational scale which is invisible to us because it is below the st=i-3 electromagnetic scale, the length of a string is equivalent to its energy, because as we see space as distance in the ∆+4 also invisible plane of the cosmos here the limited human perception makes both related concepts equivalent*. *

*Energy in the i-3 light-space plane.*

Energy in the next st=U±3 plane of electromagnetic space-time and the galaxy, again the equivalence is remarkable. Electromagnetic vacuum space made of H-quanta, (Planckton in ∆ST theory, the minimal unit or brick of our Universe), the vacuum space of pure lineal c-speed motion, ‘warps’ into Tƒ minimal particles of h-quanta and sub-particles, becoming ‘form in motion’, the minimal information. So it carries energy, E=hƒ*. Notice the similarities and differences of this concept with that of information: A wave of information is measured by V=λ ƒ. Energy though here has ‘more density’, more than substance that speed, it has instead of lambda a mere distance, h, a ‘plankton’ a minimal ‘action’, composed of ‘motion’ and form’. So energy is motion but with more form even if it is stored in pure space.*

On the other hand, what we call galactic space is actually light motion, and so we have the same 3 perpendicular Cartesian dimensions of static space than light has. This was understood by impressionists who said we paint light. Light is the substance of i-3 space-time, of this specific plane. And that is also why in relative c-speed is constant as space is to us. It is the rod of distance measure. So the concepts are clearly related:

Again to get the full picture of the relationship between energy, motion, space and light in this 3rd dimension, we cannot rely only in a simple physical description but we need a complex description that takes into account *the existence of discontinuous planes of space-time, through which energy and information does not travel completely and when travelling it changes its parameters of speed and size-form, according the metric of the 5th dimension.*

This ambivalence obviously doesn’t suit physicists, which only study the ‘perceived’ distances and ‘perceived forms’ in a single continuous. But they will have to learn with it to give ‘whys’, answers to phenomena as the non-local, seemingly infinite speed of the gravitational scale. Why? Gravitation is infinite non-local if light is the limit of our space-time? Because it is in a discontinuous lower plane, where we do not perceive information. So according to the metric of the 5th dimension: Sp x Tƒ = C, S x 0 = C, hence S = ∞ and:

*∞ space-speed of gravitation x 0 information = Constant.*

So we obtain one of the longest conundrums of physics as a trivial result of the metric of the 5th dimension, *by understanding also the relativity of perception and the limited quantity of information we perceive from far away planes.*

Now this of course explains also why gravitation being from our perspective infinite in speed harmonises far away galaxies. Why we see the speed of jets of matter expelled by gravitational holes moving at 10 c speed.

*c-speed is the space-motion of our galactic light-space-time, of ST=∆-3; that is the space-time plane whose information relative to the human perception or i-plane of space time is a relative 3 discontinuities. *

*Energy and spatial motion in the ∆-2 plane*

But as we come closer to the planes we truly perceive, that is the atomic-molecular plane, where we do obtain our food, or energy of existence through actions that relate us to that plane, *energy emerges in its full content to our senses, and here is where it is worth to use proper equations, because in the rest of planes of existence, even if physicists insist with arrogance to understand it all, they don’t and they do not measure it all. Things make sense from the atomic scale upwards, till the galactic scale downwards. So we write:*

*ST=∆-2< Certain science>ST=∆+2*

Within the atom and its parallel system the galaxy we see and understand far less and the mind of measure, including our digital instruments which also see electrons NOT gravitation AND not dark energy and matter, puts together all those parameters.

So now we are able to properly understand energy as a mixed factor with a clear formula:

E= 1/2 Mv². So how we relate this equation to V ≈ S, that is space-sped?

Easy there are 2 derivatives of Energy, respect to speed:

The first derivative gives us momentum: ∂E= Mv (Momentum: P)

The second derivative gives us mass: ∂P= M (mass).

In this case (just trust me, we need to do an entire treatise on analysis and calculus not yet put in the web, work your intuition if you a good mathematician), what a derivative is doing is ‘skimming’ from a lower ‘plane of existence’ ∆-1, the substance or parameter we are ‘deriving’. So to speak we are taking away the speed-space of energy, in two steps, as we ’emerge’ from the deeps of the energy of the ∆-4 & st=∆-3 planes of space-time, and so finally we are left with the ‘informative clock-time motion’ of energy, ‘mass’.

Mass *is thus the information carried by the mixed concept energy, which however is dominant in lineal speed (V²), and has only this 1/3rd of mass content. We shall see in the study of time-clocks of information how mass must be defined in physical terms as an accelerated inwards eddie of gravitational forces, a vortex of gravitational information and use the concept in the mathematical deduction of the equation of unification of charges and masses, two clock-like accelerated attractive eddies of two different ∆-3 and ∆-4 planes of space-time. *

As a hurricane is an accelerated inward eddie of ∆-2 gaseous molecules and a water eddie of ∆-1 liquid water, there are clocks of time-information, in all planes, and charges and masses are the equivalent in ∆-3 and ∆-4.

Energy thus has a bit of yin and when in E=Mc^{2}, we add to the mass the v² component of energy from the surrounding light space-time in which our mass inhabits we get indeed back energy.

This must be stressed, the Universe constantly combines clocks of time-forms of different planes of existence and lineal motions of space-speed to create different combinations and so we shall here give a much needed qualitative concept of information and Energy for all planes, as in many planes the quantitative description is rather irrelevant (for example, energy for our cells are amino-acids, the bricks to construct its forms, and they couldn’t care less here of the motion component, but of the specific amino-acid form, as the rule that form matters more the closer to perception the parameter is applies here):

*‘Energy is an St element dominant in spatial-motion parameters; Information is an sT element dominant in formal, temporal, cyclical parameters, and both can transform into each other ad eternal by changing the number of dimensions of relative lineal space-motion and relative cyclical time-form they possess’.*

We did use bold and italic in this definition because this is the key definition of ∆ST to fully grasp the dualities, events, transformations and parameters of the complex Universe. E=Mc^{2} is one of those transformations.

**Motion as reproduction of in-form-ation.**

*Space-speed as reproduction of form.*

*In the graph, a particle moves, reproducing a quantic wave or ‘field of matter’, since in fact all physical movements reproduce a form in a field of energy. Thus the reproductive speed of a wave that imprints a surface of spatial energy is also a quantic jump in space-time. The spatial energy will vary but the process is always the same.*

Because points are constantly gauging information and feeding on energy, the most common events of the Universe are the absorption of waves of energy and form and its communication between 2 points that share energy and form.

In the graph, we observe some basic acts of communication in which self-similar complementary species exchange energy and form in actions that bond them. Human sexual species communicate information and energy (social love) but also seminal particle that combine both reproducing a self-similar being (sexual love); fermions, big atomic particles, communicate bosons, smaller particles of forces. Humans communicate with machines through prices and salaries. Thus money is the force of communication that creates the actions of consumption and reproduction=work of machines by human beings. In all those events there will be however different they might seem, certain laws of i-logic geometry, which all systems will follow and will define the outcome of such encounters, according to the 3rd postulate of Non-Euclidean geometry that defines the relative equality between st-points. So certain events are ‘Darwinian’, when species are so different that cannot share information with a common language and so use each other as relative energy, or events of eusocial love if the points are self-similar.

Communication towards a balance of parameters is thus natural to the laws of the Universe.

‘—motions’ must be understood in its simplest laws – 2nd law of thermodynamics, heat flows from the hotter to the colder source till balancing both, expansion of a gas till fill uniformly a volume, etc. – as a proof of the function of existence that balances the parameters of all systems. This balancing tendency might seem to favor a final ‘—motions’ or death in disorder of the system but it is more subtle. The system balances to achieve a faster constant switch off of states between energy and information, accelerating the feed-back cycles, E<=>O, which are the dynamism of it all.

This feed-back cycles reduced to the maximal i-rational expression, such as Pi, or √2, means a constant feed-back loop a space-time cycle, SP<=>Tƒ…

Now, this will even confuse you more. We defined the present active-reproductive dimension of space-time in other posts as:

Se (past-entropy-lineal motion) x Tƒ (Future-form, cyclical motion) = Present-wave reproduction.

And above we saw that a wave speed, V = Sp x Tƒ

So a wave strictly speaking is reproducing its form into a present speed over its lower ST=∆-1 plane of existence, feeding on energy, putting its form and reproduction. Motion is truly reproduction of form, in a lower plane of existence and this solves the Zeno’s paradox, why motion is possible? It seems impossible in Zeno’s concept of quantum space-time. Today quantum physicists still have to accurately explain Zeno. Now we explain it. It is in fact impossible because motion is NOT motion but reproduction from quanta to quanta of pure space motion of a form.

And this works with higher planes which have more content of form as mass does. Energy = Mass x C^{2} is the case.

Strictly speaking we add to the mass, the ∆-3 scale of space-time bidimensional light-space to get that much energy. It is more of a ‘reaction’ than a transformation, but we humans have our ‘limited means of measure’, so that is what we ‘see’. Point.

Strictly speaking a mass moving is ‘interacting with the ∆-3 plane of light-space time also, as the wave of its particles of information is becoming imprinted in each step on the lower planes, it is being redrawn as a wave does step by step, reproducing its form side by side. So speed is reproduction, Sp x Tƒ = Present reproduction = Speed. This is truly what happens in ∆ST complex physics. When you move your hand, you redraw your atoms and electronic nebulae from ∆-4 to i step by step. And so it follows that waves which draw only the form spend less time drawing information than masses than human organisms, and so they move faster at c-speed.

So here we have another logic ∆ST way to deduce the previous deduced infinity of speed of gravitational waves:

Max. Tƒ = Min. S≈Min.V

And this has two limits: gravitational quanta are perceived as moving at infinite speed because they carry no information and black holes which are forms at 0 K of perfect form, information, seem anchored in their point of view with no motion relative to the Universe that ‘moves around them’.

This advanced analysis for those who have gone so far shows the extraordinary power of ∆ST to explain much more in a logic way than the mere equations manipulated in an artefact of absolute space-time.

This motion thus requires to print a form, departing from the ‘energy’ of the plane. And we can therefore do an explanation of the entire Universe as a reproductive, living organism of present reproductive waves of form with motion.

Energy though will still be dominant in motion. And this is proved by the fact that we do calculate energy and work in physics, considering only the lineal vector of motion not the height-informative component. And so indeed energy is related to motion. We talk of energy as the ‘food’ of motion for cars and planes. Energetic people are people that move a lot. Energy is biased to space-motion.

All this said as truly energy and information are considered in the ∆±1 planes around us synonymous of motion and form, we shall use them as equivalent S≈e, T≈information and use i to symbolise information.

While space-time planes will be referred as ST=±∆ or abbreviated as ±∆

Still we will use very often the concept of temporal information,** Ti**, and also the concept of spatial energy, **Sp,** as roughly equivalents to Spatial speed, S and Temporal form, (i do confess to have been careless, exchanging all those terms in other papers, but this blog should be when finished the foundational texts of the 5th Dimension, so I will try to standardise and be precise in all its definitions).

**The zero-points: monads that order the Sentient Universe.**

This first example of the complexity of the Universe, which many scientists, mostly physicists, have shunned off, obscuring a deeper knowledge of reality, hopefully prepares you to persevere in the understanding of the complex ambivalence of the Universe, simplified by the human mind, whose equation in the metric of the 5th dimension – one of the infinite varieties of Tƒ x Sp = ST – we can now explain:

tO (infinitesimal zero-point or mind) x ∞ Sp (Universe perceived) = RI (constant mapping of reality)

What a mind does is rather simple. The Universe out there has infinite time cycles that carry the in/form/ation of the Universe in the frequency and form of its cyclical motions. This is an ∞, which we cannot store inside us.

So we simplify all those motions into ‘forms’ perceived as extensions of space, Sp.

On the other hand the mind is a Tƒ, spherical system, with 2 different spheres: an external membrane with sensorial detectors, which ‘shrinks’ into a relative smaller point, the eye and then the brain, which transforms Sp, the infinite cycles made into spatial forms, and keeps shrinking them to an infinitesimal mapping of reality, a still image, very much as the way a camera reduces reality to a virtual shallow image in 2 dimensions.

And this can be done because of a property of spherical forms, called the Poincare Conjecture: you can shrink a topological sphere (any closed membrane, a skin, a planetary surface, is a sphere), as much as you want without deforming its information. So we find infinite minds in the Universe, ‘monads’ in Leibniz’s terms, which as he said ‘are points, which store a world in it selves’.

So we could also define the Universe as an infinity of ‘Universes’, fractal minds perceiving reality from those zero points. What all those fractal minds do? Time cycles? Why. Because they keep perceiving and gauging information through them, and they keep absorbing ‘energy’ to move, and they keep reproducing their time cycles in parallel forms of space-time, and they keep evolving with other points into larger systems of points, topological networks, which have organic nature.

Now, we have described you the Universe internally, in its ultimate cause. This actually had to come at the very end of this post. But i just rewrote it ‘again’. I do rewrite many times these posts, as i am fully aware nobody reads them (-; Yet also because the universe is a simple mandala, an iteration of infinite minds, ∏Tƒ, which are knots and networks of time cycles, perceiving, ∑Sp, infinite motions in space, and doing actually the same. So we can rewrite our generator as: ∞ ∑Sp x ∏Tƒ=i.

And this will represent, infinite bodies/waves in motion, which carry heads/particles of information that move and perceive across the Universe, from small particle-points, to large black holes, from bacteria to living beings.

You see, the richness of the ‘Fractal Generator’ of the Universe, and the importance to be able to see the multiplicity of it all? Its varieties? In that regard, a Taoist would be probably more prepared to understand the 5th dimension, despite its mathematical rigor, when he said: ‘the function of existence is not the perceived reality, but the game of yin=form and yang=motion, which combine creating its 10 thousand beings’.

This function of existence is then another way to express the Generator equation: e x i = ST. Here we could say that the combination of ‘energies’, vital spaces with motions, e, multiplied by informations, ‘forms’, e x i , create a ‘constant space-time being’, ST.

**The pantheist Universe and its infinite varieties of ‘Worlds’.**

So, the 5th dimension is a deep philosophy of science, which explores a pantheist Universe, which ultimately is as simple as its 2 ‘formal motions’, time cycles, which we can perceive as cyclical rotary motions with a frequency measure, or as ‘forms’ of information’, Tƒ, in the stillness of the mind. And a series of extended, entropic, ‘—motions’, |-Sp. And those lineal and cyclical motions, Ox|=ø form the infinite of complementary beings, made of particles/heads and bodies/waves that structure physical and biological and mechanical systems. So indeed, Leibniz again, the great forgotten master, who revealed us the main logic structures of the Universe, but was too complex for its age, said that all could be represented with a binary language of O and |, which now computers do use to represent it all; while string theorists try to build reality departing from O, closed strings, which are really the minimal ‘time cycles’ and |, open strings, which are really the minimal spatial bits of ‘entropic motions’.

Now if you are more of a robotic machine, which is how most human minds work today, all those ambivalences will bother you. And so you can return to your computerized brain and fill fulfilled with a mathematical formula, which is fine, as it will give you the how. But you will never understand the why, why you live and die, why you are how you are, why you have indeed a head and a body and limbs, why you were young and you will be old and die, why you love and reproduce, *as everything else in the Universe? *

Those are some of the basic questions we shall answer, quantitatively, qualitatively and organically, which are the 3 main linguistic properties of the 3 ‘components’ of the Universe, its spatial motions (which has been the main focus of science till today and are better described with geometry, topology and numbers – which are ‘societies of points’ that extend in space), its time cycles (which are better explained causally, qualitatively, through its 3 relative ages/phases/horizons/motions of past-’—motions’, repetitive present and informative future) and its multiple ‘relative’ planes of size, from the smaller quanta to the larger galaxy, through the human planes of existence (which are better described organically, as parts organize socially through number, into wholes back and forth through its life-death world cycles).

Now here again we have resumed you the Universe of space, time, and relative scales of size which put together create a fifth dimension, through the 3 main languages of the mind, mathematical space, logic causal time, and bio-logic, systemic organization. It is another of the multiple kaleidoscopic points view we will apply to that astounding ‘fractal’ generator, ultimately as simple as a combination of spatial motions, time cycles across infinite sizes, we call the universe. But you must try to reform your mind, change your chip and accept that multiplicity, mandala, iteration, variation, perspective, relativity, ambivalence, duality, motion and form, space and time, energy and information, yin and yang, are not that easy to define, as the simplifications of simple absolute continuous space and time were.

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Absolute Newtonian Time is an obvious abstract artifact called in physics ‘background space-time’. Since it is supposed to be in the ‘background’ of reality. But where is that background? The answer is in ‘the paper’, since it is truly derived from the pen and paper drawing of Descartes and its Cartesian coordinates, in which time clocks and its cycles are ‘elongated into an artificial line’ to measure motions in space with a simple formula: V=S/T.

This formula with a line of time equal to that of space, helps to calculate ‘motions’ , as we all know, since now both Space and Time have the same lineal appearance and we can divide them.

The problem though is that we loose the cyclical clock-like nature of time cycles, the reason why events are cyclical, actions are cyclical, and most motions in nature from orbits to clocks and atoms are cyclical. Besides lineal time-paper gave the impression that reality had also an abstract drawing made by some sort of God that put it there, as Descartes did in his paper. So reality was ‘put’ over a mathematical drawing. Since as Galileo clarify to us: ‘mathematics is the language of God’. Yet when we observe ‘real magnitudes’ in Nature, they are always measured with cyclical time (the inverse parameter of lineal time, ƒ=1/T=T‾¹, the real thing); from speed, LxT‾¹ to Energy, M x L² T‾², we will realize that the true of the Universe is an infinity of beings performing time cycles that mold the form, the information of its vital spaces.

Reality is indeed a fractal made of infinite vital spaces, which move in cyclical, constant patterns or ‘time clocks’ for a finite duration between birth and extinction:

∑S x T¯¹ = C

From particles of cyclical time, controlling waves of vital space that moves (quantum physics) to human systems made with heads that move over the bodies and limbs they control, we shall see the enormous power to explain the whys, forms in space, and actions in time, of that simple ‘complementary system’, which is the fundamental particle of the Universe.

This reality of beings made of relational time cycles, ruling moving spaces, however was forgotten for 2 centuries.

Then the Physical revolution started in the XX century, proved certain Leibniz, since Quantum theory showed that space is broken in infinite quanta of ‘—motions’, or ‘Energy’ and Einstein’s Relativity theory proved that there were infinite clocks of time with different speeds , but Physicists could not properly formalized together both discoveries, and soon they were dedicated to do just detailed analysis of different species, its time clocks and energy quanta, *without fully developing the formal and mathematical model of relational space-time. Einstein tried but he gave up saying ‘Leibniz is right but to complete his model we have to rewrite all the science since the beginning’. *As indeed, the pen and paper drawing of Descartes was everywhere, in science.

This r=evolution is what the understanding of the metric of the 5th dimension achieves. And we shall pour in this site. Its understanding is not so much a problem of complexity – it does in a sense simplify the Universe with its Ockham’s razor, explaining many more things with lesser parameters and simpler equations, but of its sheer extension (as it encompasses the entire Universe, all its sciences and species, within its formalism).

Now the first two steps in the mathematical formalism of all those different time cycles and different spatial quanta is *to order them and find how they combine into the constant, stable dual beings made of particles/heads of information and fields/limbs of energy we see around us. *

__‘—motions’ vs. cyclical form (and the related parameters of energy and information).__

Now there is a big problem with the understanding of the 5th dimension, which is plainly, bluntly speaking the errors that physicists have committed in their understanding of Time. And the entire conceptual frame derived of it – words like space, energy, ‘—motions’, arrow of time, duration etc. So we shall attempt to make some basic definitions from the beginning with the minimal corrections involved to try to make a ‘bridge’ with the reader school on those errors. We have already dealt with the problem of ‘time-duration’, and offered the inverse function of ‘imploding, clocks of time’ with a frequency that carries the information of the Universe, Tƒ.

**Non-Euclidean Points and bidimensional network-planes. The new mathematical formalism.**

When Einstein said that Leibniz was right but we had to reconstruct the building of western science he showed an understanding of the difficulties to recast the Universe on the new light of multiple times and multiple energy quanta. But he did not have the tools to do so. In that sense it was necessary to evolve further mathematical concepts to fully grasp the underlying structure of that world of infinite time cycles and space quanta. As 3 new concepts were required:

The concept of a fractal, which is a geometry that repeats in different scales of space, with similar forms. It implied that reality was broken in ‘wholes’ made of smaller ‘parts’ that were similar to those wholes. Mandelbrot discovered them in 1973. And since the model of relational space-time needed fractals, it could not be found before.

The completion of Non-Euclidean Geometry, which Einstein used to describe the Universe of multiple clocks of time. In Non-Euclidean geometry, points have ‘breath’, that is, they can hold infinite parallels that cross them. This miraculous contradiction (a point without breath can only fit logically a single line), made Einstein curve the lines to fit them, but still they do not fit (curved or not the lines are still many and the point without breath only fits one).

I solved the impasse that made Einstein conceive the concept of space-time curvature, when I combined it with Mandelbrot’s fractal concept. Since now a particle-point, a star-point, a cell-point, any entity which can be called a ‘point’, could be considered a fractal that grew in size when we came closer to it and enlarged it at scale. And as it grew, you could fit many parallels, as it acquired volume. Thus the logic contradiction of Einstein’s work was now solved.

I did then developed the 4 remaining Non-Euclidean Postulates, defining a point with breath or fractal point. A line as a wave of points with volume (since now points with volume formed waves instead of lines). Then a plane as a bidimensional membrane with thickness, made of networks of points. And suddenly the Universe became much more real in its mathematical description. As all was made of planes of space-time: ‘networks of points with volumes’ which seen in detail were actually, *cyclical forms with rotational motion, time cycles, made of smaller, cyclical clocks with motion, new time cycles, again organized in networks, which were made of smaller… Suddenly an astoundingly beautiful architecture appeared, a reality where the words of Leibniz acquired its full meaning: ‘each point is a world in itself’.*

** HOLOGRAPHIC PRINCIPLE: THE 3 VARIETIES OF 2-MANIFOLDS.**

*Non-E points were discovered in the XIX C. as ideal geometries of space. Einstein used them to explain gravitational space/time; but its quantic , empirical understanding is poor due to the error of continuity that considers only 1 Non-E space, the Universe, when there are infinite discreet Non-E space-times.*

*In graph, the 3 zones of a Non-E point:*

*– An informative center and outer membrane of energy, described by Riemann’s spherical geometries.*

*– A central reproductive zone, described by Klein as a disk, made of quanta in cyclical movement that communicate energy and information between the 2 discontinuous inner and outer zones.*

*– A field of energy or limbs, described by Belgrami as a series of cones of ‘height’ with a negative curvature.*

Lobachevski was the first geometrician to define a Non-E geometry that Riemann generalized to all relative space/times.

Latter Einstein used Riemann’s geometry to describe the gravitational space/time, assumed, due to the error of continuity, to be the only real space/time of the Universe.

Yet in a discontinuous reality, there are infinite Non-E space-times; and all of them can be analyzed with the mathematical tools of Riemann, Klein and Lobachevski, that describe the inner geometry of quantic space/time fields (physical jargon) that we shall call in the mathematical jargon Non-E points and its 3 quantic zones.

If we put together the work of those 3 authors we obtain a complete description of any Quantic Spaces-Times field and its fundamental properties:

*– According to Klein,* Non-E space-times have movement. So their ‘speeds’ measure their distances; as physicists do in Cosmology with the expanding speeds of spatial vacuum, which are proportional by a ‘Hubble constant’ to the distance of stars; or as people do in life with real space-time.

So we say that Brooklyn is at 5 minutes by train from Wembley not at 5 miles.

*– According to Riemann*, space is quantic, made of herds of points with similar ‘properties’; and so it has a *quantic density *determined by its number of quanta, like the space defined by light does. So when a volume of spatial energy is very dense, it is very difficult to go through it, as it happens in the gravitational space close to black holes. Also Riemann’s space-times might have beyond its discontinuous borders an inner space-time with several __dimensions__, one for each of its ‘energetic or informative properties’ as it happens with the points of physical reality, from strings to super-symmetric fermions.

Hence Riemann through the concept of ‘properties’, defines a ‘dimension’ as a certain energy or informative network (static point of view), which ‘puts together’ points that share an energetic or informative ‘property=flow’ (dynamic p.o.v.). – *Finally Lobachevski and Belgrami* proved that space is curved and indeed temporal information curves the spatial energy of any real space-time. So points move in curves, which are ‘cycles’, gathering energy and information through their ‘dimensional networks’.

In the graph, those 3 abstract analyses of Non-Euclidean space-time define 3 different regions that structure all space-time fields (Physical jargon), all Non-E points (Mathematical jargon), all organisms (Biological jargon) and all entities (Philosophical jargon) of the Universe:

*– Max. Information: An informative, quantized center or temporal brain, connected to an external, continuous membrane or Riemann’s sphere of maximum form* that acts as a relative infinite, unreachable distance, creating the discontinuity between the inner parts of the point. Since the internal quanta points are either jailed by the membrane’s structural density or destroyed by its energy when touching it.

The membrane is the opposite form to the central, informative singularity, with max. spatial extension and continuity, hence with a minimal number of quantic, discreet elements: Max. E=Min.T.

*– Max. Energy: *the so-called hemisphere of Belgrami, a Non-E space-time, with a dimension of height that transforms energy into information, absorbed or emitted by the central singularity. It is a quantized, informative region similar to a black hole structure. Since it follows the ‘black hole paradox’: Max. T x min. E. So according to the inverse properties of space and time, it has max. temporal information and minimal spatial energy.

*– Energy=Information: A middle volume or intermediate territory, discovered by Klein*, which combines the energy coming out of the membrane and the information provided by the center, in quantic herds of ‘points with parts’ in perpetual movement, that draw cycles of “parallel lines”. Those inner quanta are confined within the Klein’s disk by the 2 other regions, which have more energy and information and might destroy them by overdrive or absorb their energy and information at will.

Thus*, Klein *introduces the concept of an *infinite, relative distance *measured in terms of time and movement. Since in any discontinuous world the infinite are those insurmountable borders the inner time-space quanta can’t cross, as a cell cannot go out of a body, an atom beyond C speed or 0K temperature and a man beyond the Earth’s atmosphere.

Further on, since those 2 relative infinite limits make any temporal movement of an intermediate point towards the inner informative singularity or the external, energetic border, eternal. As in the myth of Achilles and the turtle, Achilles never arrives because every time it moves it crosses a smaller spatial distance.

The same happens in a Non-E space-time, when a point moves *temporally* towards its inner or outer spatial limits and finds an increasing resistance to its movement, till finally it is deviated into a cyclical trajectory around the outer, energetic membrane or the height dimension of the inner informative singularity. So the intermediate, quantic cells of the point circulate in parallel cycles always inside the interior of the sphere with contact zones of the type “A” *(central figure). *For that reason Klein interprets the intermediate region as a *circle with an invisible, unreachable membrane,* equaling the ‘space-time distance’ between the intervals B1-B2 and B2-B3, despite being increasingly shorter in space. Since the quanta take longer in each step and don’t reach the membrane.

When they do it at point C they become destroyed or deviated. Thus, the energetic membrane and informative center are the discontinuities that isolate their cellular quanta of temporal energy and create a discontinuous ‘World’ within the point. Those discontinuities are called in Geometry a relative infinite, in Biology a membrane, in Sociology or Topology a border. They explain the existence of many different species, which occupy a limited region of spatial energy and last a limited time. So we define a Non-E point as:

‘*A curved region of energy & information quanta, with cyclical movement, confined by 2 limits, an external, spherical membrane of max. energy and an internal informative nucleus.’*

Spatial structures *are systems made of bidimensional layers of space, networks which had also perpendicular flows through which energy and information was exchanged between layers; because almost every system of reality was structured in this manner.* And since bidimensional geometries were only of 3 types, called varieties. We could limit the Universe to 3 type of spatial bidimensional layers, ‘toroid or energetic layers’, informative or spherical layers, and hyperbolic, cyclical repetitive layers.

And so with 3 layers you can only form a kind of whole, one that has toroid, energetic limbs/fields, spherical, informative particles/heads, and hyperbolic waves-bodies, that mixed both energy and information, lineal and cyclical motions, reproducing both. The reader can see how little by little I was reconstructing as Einstein wanted the entire Universe, departing from its fractal parts: bidimensional layers of space, and time cycles.

The next discovery was for realize that *time cycles also had 3 phases, horizons or ages, an accelerated, energetic beginning or youth of the cycle, a steady repetitive state of constant speed and a decelerating state till the cycle came to a halt. Acceleration-steady state-deceleration; energetic youth-reproductive maturity-old informative age; evolutionary age – reproductive radiation – extinction age; big bang, steady state-big crunch. And so on. I had discovered then the fundamental symmetry of the Universe, between its 3 type of bidimensional space varieties or layers, and the 3 time ages of any system, in which one of those forms of space performed a function in time, and so there was an order or organization in space and an order or organization time.*

So the unit of reality is a space-time cycle, and many of them create a knot of time cycles or entity of reality, which will be reproduced by repeating those formal cycles with motion in other region of space-time; and many of those knots of time cycles, which are self-similar, since they are born from the reproduction of a first form, come together with self-similar beings into networks.

Some of those networks are spatially extended with a lot of motion (fields in physics, bodies in biology) and some are very tight, formal, with a lot of in/form/ation, (particles and heads or nuclei in physical and biological jargons). Both types of networks together then create a complementary organism, which is fitter to handle both ‘—motions’ and form; hence it survives better, it ‘exists’.

Today scientists of measure scorn philosophical and logical analysis of causality in time because it cannot be easily put in numbers.

But *numbers are only one of the languages of information in the Universe, and many of its properties of bio-logic nature are better described with logic words. *In that regard, we can now fusion philosophy and science answering the fundamental question, ‘why we exist’; since once we realize that we are ‘made of time cycles’, knots of time cycles and networks of knots of time cycles, an intelligent, informative, eternal universe of motions and wills of existence makes the dogmas of deism and mechanism, childish myths.

‘What is existence’ cannot be revealed from the simplex point of view of a mechanical world, which cannot explain the fact that we are made of motions with form that leave a trace on space but are essentially actions in time that have a social finality – to create more complex networks, chaining knots of actions into systems. This social will of every point and entity of the Universe is completely at odds with a mechanist, fixed, solid, senseless, dumb Universe.

Motion in Time and social evolution are concepts that require the capacity to gauge information and interact with other self-similar points to create those organic networks. Further on, dual networks tend to evolve and reproduce new points through exchanges of ‘—motions’ and information.

The result is the creation of 3rd network/system: the reproductive network. And so most systems of the Universe are organic, ternary systems made of points (which can be anything from atoms to cells to human heads) organized in 3 networks. We exist as organic networks, to sense flows of ‘—motions’ and gauge information. Existence justifies itself.

Those Non-Euclidean points crossed by infinite parallels are able to gauge information, which implies a perceptive, intelligent Universe in all its fractal, self-similar scales of reality – a world in which even the smallest atoms can act-react to the environment, ‘aperceiving’ light and gravitational forces. Aristotle and Leibniz, the 2 foremost predecessors of the 4th paradigm of biological whys distinguished conscious perception from vegetative and mechanical perception.

It means perception has degrees of complexity. So the simplex particles of the Universe act-react in a mechanical way; yet they still gauge information, reason why quantum physicists called their theories gauge theories, and they still have 2 complementary networks of ‘—motions’ and information, reason why quantum physics is based in such complementary principle.

Yet this intelligent, active, temporal, informative Universe can be described with the formalism of logic and mathematics because its fundamental unit – a spacetime cycle – can be explained with ‘feedback’ equations, used in system sciences to explain the back and forth interaction between two poles or elements of an equation. Sp<=>Tƒ where Sp is a component of spatial ‘—motions’, a motion element, body or field and Tƒ is a cycle of time that carries information, particle or head, becomes the syntactic, logic, minimal unit of reality.

These simple first elements of reality – points with volume that exchange ‘—motions’ and information, creating waves of ‘—motions’ with form (no longer lines – 2nd postulate), according to a set of isomorphisms based in their self-similarity, (no longer equality – 3rd postulate), that makes them evolve into different topological networks (no longer planes – 4^{th} postulate) – make mathematics an organic language able to describe the logic of creation of all systems of the Universe made of infinite fractal, organic networks intersecting and creating when we put them together under those isomorphisms and topological restrictions, the puzzle of reality that the simpler, 3rd paradigm called the space-time continuum and becomes now a General System of Multiple, Fractal Spaces with vital ‘—motions’ and Time cycles with information, the two substances of which all beings are made.

And so with those 3 scales of ‘existence’: time cycles, knots of time cycles and networks of knots of time cycles (Non-E Points) we can explain all the ‘actions’ and systems of reality made of those cycles, knots and networks; and describe a complex Universe that exists ‘in time’ more than in fixed space, since it has always motion; it is also dynamic, made of cyclical, feed-back equations whose causal relationships, forms and trajectories are the essence and purpose of existence. We thus consider a more complex analysis of time arrows, beyond the duality of ‘—motions’ and information, which combine creating a reproductive arrow, SxT, and further on socialize, ∑SxT, creating networks. And so the universe has also an organic will: to create networks of self-reproductive points of ‘—motions’ and information.

Yet the most astounding property of those points is to be points of view, points with will, which perform actions with the purpose mechanical or not, but probably felt in all scales as the inner freedom of the point, of obtaining ‘—motions’, information reproduction and social evolution. The 4 wills or whys of the Universe are indeed embedded in the postulates of i-logic geometry.

The point to exist has to be complementary, to feed and gauge ‘—motions’ and information and to last beyond its wearing it has to form part of bigger social networks or reproduce itself to last beyond death.

This simple program self-selects those species that reproduce and evolve socially even if that contradicts the primary individual arrows of the point. Thus the engine of the contradictions of behavior of points is that tug of war between the Galilean paradox of all points which gauge bigger his nose than Andromeda but need to hunt in herds and control the forms of the Universe with self-similar minds, joined in networks, this eternal duality of freedom vs. order, individual ego vs. collective spirit.

Tƒ exist is to act with motion and form, trying to achieve the ‘arrows of time’ or will of the Universe – feeding your ‘—motions’ network, absorbing information for your informative network, reproduce your system and in doing so, starting an external process of social evolution with self-similar entities to yourself.

Those processes can be described with mathematics but we have to accept an intelligent, perceptive, fractal, self-similar Universe of infinite points of view gauging reality in a mechanical, vegetative or conscious way to explain why it happens. Their mathematical description stems from the duality between geometric form and logical function (hilomorphism).

Thus, the postulates of fractal i-logic geometry define also the basic arrows= cycles/dimensions of the Universe: the 1st and 5th postulate define a point as a system whose inner parts are able to transform and emit ‘—motions’ and information, E>O<e; the 2nd postulate defines an SxT wave of communication that reproduces ‘—motions’ and form between 2 fractal points; the 4th postulate defines the social evolution of a herd that creates a fractal plane – a network with dark spaces; and the 5th postulate explains a point mapping reality, as it absorbs ‘—motions’ and transforms it into information through its small apertures to the Universe. Since even a minimal quark, as Einstein affirms, should be crossed by a relative ∞ number of strong forces.

It* is the organic will of all systems that search for those 4 arrows what makes the quark to exist as a knot of such flows of time arrows: a physical particle traces energetic cycles described by the principal quantum number;* shapes the form of its trajectory, a fact explained by the secondary quantum number; iterates along the 3 coordinates in similar shapes, an act described by the magnetic number, and gauges information to evolve in social groups, a fact described by its spin number.

And those 4 numbers define it as a Non-Euclidean quantum knot of complementary ‘—motions’ and information with a 4D will of time. *And as it happens they express the 4 arrows of time: E->Principal number; I-> secondary number; Re-> spin number; 4-> social evolution: magnetic number.*

Further on, we can reduce all those topologies of social numbers and networks to the canonical 3 topologies of a 4-dimensional Universe, proving that those 3 topologies have the properties of ‘—motions’, information and reproductive events.

And so we talk of 4 ‘arrows of time’ or dimensions of change that create the future: energetic and informative systems and events, which reproduce a wealth of self-similar beings that organize themselves into social networks, creating bigger wholes – new scales of reality.

*And this simple game of complementary beings that in favorable conditions reproduce self-similar beings, self-organized into bigger social networks becomes the why of all realities*. Even the simplest particles, quarks of maximal information and electrons of maximal spatial extension and motion ‘decouple’, reproduce, when absorbing ‘—motions’ into self-similar forms, and associate in complementary networks called atoms, made with a central informative mass of quarks and an energetic, electromagnetic, wider body of electrons.

The 3rd paradigm of metric measure is not at ease with such ‘dynamic, spiritual concepts’, even if they can be described with the same mathematical formalisms as the previous example of the quantum numbers show. Those apprehensions however are dogmas, which stem from anthropomorphic beliefs.

Fact is that even the simplest complementary systems (quarks and electrons) interact together and if they can absorb more ‘—motions’=motion they are able to repeat=reproduce the cycles of its system. And so we talk of a 3rd reproductive system: from quarks and electrons, the fundamental particles of the Universe that decouple in new particles when they absorb new ‘—motions’ to living organisms, the fact that all is motion with form makes easy to reproduce those formal motions in an organic way. Thus the new concept of a world made of formal motions brings about also a more complex philosophy of reality – organicism.

**The points of view of different Sp<ST>Tƒ organs**

In organic terms, the 5 postulates of fractal Geometry describe how points become parts of social webs, which self-organize fractal planes made of networks of points, which emerge as cellular units of a higher fractal space-time or new superorganism… Thus, according to the Principles of Correspondence and Relativity, proper of physical reality, those different geometries are relative descriptions of the same fundamental structure of the Universe: the point with parts and its more complex social forms, lines and planes. The fractal generator of the Universe is a logic equation that represents the main interactions between the arrows of time. Yet all languages mirror that logic equation in its syntax, since all minds gauge and represent the cycles of the Universe with languages of perception.

In the next graph we resume all the elements of the 5 postulates of Non-E=i geometry* The true meaning of vital space and cyclical time, is the construction of vital, bio-logical and physical systems*

*The function of existence, Œ= Sp x Tƒ, in space-time thus is expressed by a series of beings made of Bodies/Waves of Energy (Vital Spaces) and Particles/Heads of Information (Time cycles) whose equations :*

*œ, define an action, a discrete expression, a variation in space, which is a minimal functional action of the system, in its exi motions in space across its U=U±4*

*∫œ, define a worldcycle of energy and information, an integral expression through time, of one of such actions (Lagrangian), or all of them (Hamiltonian) of the system.*

*∂œ, define a force, an instant, a moment of the total momentum of the being.*

*This function of existence though in smaller scales, such as our thermodynamic space-time or the quantum scale can be studied with different particles.*

*And in the psychological language to describe mankind, it is better analyzed with verbal theories. *

*And yet in all cases we are observing a similar space-time being.*

In general relativity, the Einstein field equations’s 3 solutions represent the minimal, maximal and stationary ages of information, energy and steady state of those curved space-times.

How we interpret the different Hamiltonians of a sum of actions, or each action independently, will give us different perspective of an entity.

It is thus the different manipulations of the Generator Equation according to the rules of i-geometry and the topo-bio-logical properties of scalar space-time what defines the space-time events and cyclical actions of the Universe.

**The reason of the Program of Existence: symmetry between topological, and time and scalar dimensions.**

The spatial-temporal ternary symmetry between:

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

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

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

ST (∆<∆-1, ST (∆≈∆), Tƒ (∆>∆+1); made of entropic fields that expand and disorder space by ‘burning’ and simplifying quanta of energy in larger scales of lesser order (i<i-∆), hyperbolic-wave bodies that try to repeat cycles and reproduce the components of the system, and Tƒ, spherical zero-points with an external sensorial membrane that transfers to a central zero point by shrinking without deformation (Poincare Conjecture) the bidimensional perceived world into a mind that *controls the whole system*

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

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

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

U = ∑∑ W: ∑[Sp x Tƒ = ST]U±4

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

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

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

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

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

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

This description would be more objective, external, perhaps more liked by the scientist of the ‘4th paradigm of measure’, with its hidden anthropomorphic belief of Abrahamic religious origin, that only humans are sentient, perceptive, special, organic, living, because the z=6 atom, carbon, is so special (-; In the next graph we resume the meaning of those 5 ‘i-logic postulates’ 3 of which (the first, second and fourth, explain the mathematical evolution from points into waves into topological networks), while the 3rd and 5th explain the possible interactions between points, which define its Darwinian vs. social, perpendicular vs. parallel, entropic vs. informative, devolving vs. evolving events, *that is the causality in time of all processes, (3rd postulate of relative equality), and the creation of mappings through minds, monads (5th postulate, which seems at first redundant with first: definition of a point).*

**The program of existence.**

Each point of view performs those actions in chains of existence.

What does a Point of view, an existential momentum, a fractal exi=st-ence, a zero-point, a function, program, equation of Existence once it is born as a single seed of an ∆-1 plane? How does it go to create a Cyclical existence, a sum of Actions ∑Sp≤ ∫∂x≥Tƒ, which move a function of existence through all its cycles of exchange of energy and information with the universe.

The Universe is made of 2 motions, ‘—motions’ of space and cyclical motions of time, webbed into ‘planes of existence’, which human minds see still according to the ‘Galilean Paradox’.

Thus its structure is described by 3 basic formal languages:

– i-geometry (Non-Euclidean), which explains space & Causal logic (non-Aristotelian) which explains its time cycles, (hence our use of the next letter ‘i’ for this formalism), and organicism which explains the organization of the different planes (biological languages).

And yet there is a 4th language and property of the Universe, which surely abstract scientists will deny but it is there, and so it has been always argued by human beings, *the language of the Will, which creates the needed order to organize those motions.*

Indeed, we can describe externally objectively reality with its geometries and time cycles, and its organized planes of existence, but the question that remains to be answer is why? What causes those systems to organize themselves.

The answer is what I have called in different moments, ‘the program of existence’ or ‘Universal mandate’ (external vision of it in impersonal or mystical terms), the Will or Equation of Existence or Survival (internal vision), which resumes in a simple ‘partial equation’ of the Metric Generator of the 5th dimension:

Max. Sp X Tƒ

- Systems that perceive in a rather automatic manner with O-minds minimal time cycles (∆-3) and move in invisible fields of force with E-nergetic limbs, through lineal paths (∆A-4)….

And we call those external 2 actions the external, or automatic will or primary actions of existence. If we were to use the terminology of Leibniz or Aristotle, it would be the process of ‘apperception’, or ‘vegetative will’. Since they are automatic, caused by the mere structure of the being, which exists in a lower field of motion and absorbs bits of information.

Yet the external actions have 2 internal counterparts, which *ensure the maintenance of the components of energetic limbs (feeding on energy) and the informative system (reproduction of ‘form’):*

- First, the being feeds on quanta bigger than the bits of information to reproduce its forms, and this process is called feeding, ∆E-2
- The origin of reproduction are the actions of the being that communicates its 2 poles, in an intermediate region, the body or wave, in which it exchanges flows of motion and form, between both poles of existence, combining them first into cyclical actions, SxT, performed by those intermediate waves and bodies. And so actions is the 3rd will, through which the being tries to maximize its ‘function of existence’. And the repetition of actions finally creates a ‘burn-in’ reproduced structure, which becomes its 3 element, which allows the being to survive in other form. Thus the 3rd will or action of all beings is iteration. Since reproduction of its body waves ensures its immortality beyond accidental or old age, death by excess of energy and information. And so the being reproduces its ∆-1 cellular structures, ∆Ra-1, till they organize themselves into a replica that surface at the world-plane.

And we call those 2 wills of existence, the internal will, and in terms of Aristotle’s classification, the animal will.

- And yet there is a 5th will that helps to maximize the function of existence: the social gathering in groups coordinated by a common language, which make the whole stronger. So ∑SxT > SxT.

Thus it starts the scalar growth of herds into bigger social herds that hunt together. We express this gathering with the symbol of S for society or sum, but most often with the specific symbol of ∑ a summation (here not used in the strict mathematical sense of ‘a series’ but merely as an aggregation of individuals). And we say that the summation of individuals which gather through simple ‘spatial languages’ that coordinate them bring about a series of social groups or Unions of Individuals represented by those 3 symbols, ∑, S, U (i will try to unify symbology, time permitted).

It is this simple scheme what explains the formulae: ∑sp-1=S, that is a group of quanta, points of a herd, Sp x Tƒ beings brings together a ‘space’, which is a bidimensional topology or loosely connected network that extends through a social space.

But and this is the final frontier of the will, as the space becomes denser in a single plane, organization must become more complex, and the equality rule breaks, as new languages of faster cyclical speed, Max. Tƒ, allow better coordination. And so society splits between the faster neurons and the bigger cells, Max. Tƒ and Max. E social classes of the system. The efficiency though has a heavy toll for the bigger, slower cells that must obey without doubt the neuronal, informative class. And so finally a 2 layer structure, with top neuronal fast points and body cells appears.

Further on, the energetic, simpler will of motion, is demoted in the hierarchy, as those cells must ‘expand entropically’ the space below them at ∆-4 level and so often the system stores ∆-4 species and creates a 3rd energetic layer of hardy cells, responsible for this carnage. And those are the cells of the limbs: informative neurons, ‘reproductive’ glandular cells and ‘muscle and bone cells’ to use specific types of an organism, becomes the 3 social classes of the organism, which maximize its actions of existence.

Now, the informative cells must rule the body and limbs cells and so they must connect with all of them, and at the same time they must coordinate among themselves fast their orders to produce synchronicity. And so they often develop axons (in biological systems with a network fractal orientation in the high dimension of information) or produce informative spherical waves (in physical systems existing in an isomorphic medium, where the informative pole tends to be in the center of the wave), which reach simultaneously all the cells of each layer.

In both cases we talk of a multiplicative effect. For example, if all the neurons are connected to all, the number of axons is x². And so we use for the ‘organism’ in multiple layers, the symbol ∏, for ‘pi’ (circular motion) and for multiplication (the higher number of axons, or ∑².

And we can write then the complete will of existence through its 5 actions of motion or acceleration, perception, feeding, reproduction and social evolution as:

*∑i(SxT)=∏∆+1*

And this 5th will or action, ∑∆+1, completes the game of existence,

This is the will of the Universe, its sequential program: O<A>E-=∆+U

That is: ∆Observation of cyclical forms- ∆ Acceleration towards a field –∆ Energy feeding –∆ iteration of the species – ∆ universal evolution

acceleration and perception (with different order depending on the informative or energetic nature of the being), which brings feeding and reproduction, and finally the social evolution of the system.

Another way to write it is A->O->E->I-teration->U-nion, the Aeiou of existence, the 5 vowels of all actions.

This is what all beings do to maximize their existence by playing its actions to that end: its reproductive evolution Sp<ST>Tƒ

**The reinforcement**

The program is externally reinforced because those who follow it survive better. And so those who don’t perish, do not reproduce and do NOT exist in the future.

**The equivalence with the metric of the 5th dimension.**

And so this simple program of existence: Max. S x T, is the counterpart to the Metric of the 5th dimension SxT=ST, which explains it. Who was first the egg or the chicken? They are self-similar functions, one seeing internally and the other externally.

Since when we analyze the function SxT, it is maximized when S=T, thus the will of existence brings also homeostasis and balance and the sum of all those S=T, could be considered the constant i, of the metric of any world-plane.

**The Point of balance: S=T**

So of the many similar equations we use to write the Fractal Generator that represents all events and forms of the Universe, the most important is Sp<=>Tƒ, which represents the search for a point of balance in which the Spatial Energy and Temporal Information of the System, is maximized by that balance.

This is the point of adulthood, the equation of present, the steady state, the equation of beauty, the equation that maximizes the ‘existential force’ of the system, Max. SxT (which is reached when S=T). The number of ‘events’ that take place under the umbrella of this equation is enormous.

We could say that S=T is the point of immortality that all systems try to reach.

The partial equations of the Generator are ‘partial events in space-time’, of significant importance for all species, as they describe actions, dimensions, and symmetries, states, ages and organic parts fundamental to the whole.

Among all them the most important is the ‘function of existence’, that is the strategy to maximal SxT, which is the equality between the energetic components and states in space and time of a l Superorganism:

*Function of Existence; Top Predator Equation: Max SxT->S=T*

Equation of Justice, Reproduction, Present and beauty: S=T

‘And God said S=T and extinguished all beings that did not obey the law of Justice.’

The most astounding discovery of General Systems Sciences is in the metaphysical realm – the understanding of both mathematical and logical, bio-logical, existential processes together, through the ‘simultaneity’ of mind’s mappings of the Universe.

The fractal of the Universe is a mind observing a fractal world of Sp<=>ST systems constantly flowing in two type of motions, |-Motion or distance or speed or energy and cyclical motion or perceptive, dimensional form, cyclical information, clock frequency.

2 states of existence among which all beings fluctuate by moving that ‘élan’, that ‘motion’ that ‘spirit’, that ‘substance’, that ‘form’, whatever you might say of it.

Between motion and form, energy sensation and information sensation, translation and perception, Sp and Tƒ, | and O.

S<=>T<S….

The Universe is a creative, temporal, formal game of creation of ‘Functions of Existence’, SxT, S<=>T, complementary systems of energy and information that try to maximize the communication between both poles, SP and Tƒ, a fact maximized by a simple mathematical equation:

Max. S x Tƒ ->S=T

This equation has much more meaning than its simplicity might evoke. What it says is that when we have two entities, one of maximal entropy, Sp and one of maximal information, Tƒ, treated as ‘sets’ or ‘numbers’, or ‘herds’ or ‘groups of cells’, such as the number of elements of E, A, and the number of elements of O, B, are equal, A=B, the communication and force of the group, Max. Sp x Tƒ is higher. And the system is better integrated between field/body and particle/head.

Such systems are top predator systems that survive better. The law of balance or justice is one of the most metaphysical and yet the most important of all laws of the Universe. It gives a survival strategy to all entities in existence. And its two limits when the law of justice is broken are the equation of death:

Max.Sp x Min. Tƒ = death by accident.

Max. Tƒ x Min. Sp = death by warping and excess of information.

Tƒ exist in balance, S=T, obviously the best strategy is to maximize the communication between Sp and Tƒ, so each element of Sp communicates with each element of Tƒ, a x b is exactly the product of all those communications. And so what happens in nature is that the neurons or informative cells of the Tƒ -system and the cells of the body system, reach maximal communication to act simultaneously as a single whole.

The Function of Existence, S=T or Max. Spx Tƒ (both are mathematically equivalent, as the product is maximized by the equality of the factors, so 5×5> 4 x6 … > 9×1…) is the fundamental equation of the Universe.

Sp<=>Tƒ resumes all the events of reality. But of its 3 possible ‘ages’, ‘dimensions’ or ‘states’, Max. Sp (Sp>Tƒ) , S=T, Max Tƒ (SP<Tƒ), S=T, the equation of balance, beauty, maturity, classicism, reproduction, present, existence, Max. Sp x Tƒ is the goal of the Universe.

And those who achieve it achieve immortality.

**The 3rd and 4th postulate: Social networks**

It is now when we can consider what those points do beyond the couple formation: the answer is obvious, the create social groups, networks, which seem plane but are quantized as flows of ‘—motions’ and form communicated between two poles (perceived as energy and information, as they ‘transit’ through a relative ‘active support’ of mass-charges-vortices of time).

Those poles that create through a relative support or ‘field of energy and information’, flows of entropic ‘—motions’ carrying cyclical frequencies of form, which communicate between points codified languages that express a common will to absorb energy and information, ‘—motions’ and form. This is what points do: *to absorb ‘—motions’ and form, to move and perceive, to enact their will of existence, and repeat, reproduce their existential momentum, their existential force:
*Max. Sp x Tƒ < ∑s x t (s≈t).

Why, who, when just by survival chance? this program was imposed we do not know. But the natural enactment of the program is to increase the network flows between points to create bidimensional waves, that become relative S-T planes susceptible of being excited by, and carry and reproduce a certain wave of energy and information, ST=s x t, an existential being.

In the subtle commanding flows of reality, it remains to be understood if the larger ST field forces the existence of certain smaller se<=>to beings codes the smaller being or vice versa. In any case, as the points share actions of energy and information, similar to their selves, an ∑∆-1 dense flow of energy and information surrounds a network, which starts to pop up self-reproductions of itself, which will constantly share energy and information as they keep reproducing and tying up networks of communication. To that aim all growing network of similar cells must have access to a simpler field of quanta of energy which they can absorb and mild into themselves, and for that their larger existential force, as wholes will ease the task.

As the networks become denser they will finally self-organize themselves socially into a whole, with a hierarchy of ‘organization’ along S=10 scales of social growth, in which cells will specialize in the ternary 3 x 3 sub-systems of entropic, informative and reproductive tasks, and emerge as ones of new decametric scales. Networks thus grow both in the 3rd and fourth dimension of space-time, filling up a space-time plane but in the social growth of its elements, and its fractal diminution into smaller cellular scales. This ‘invagination’ of an initial being through the program of absorption of energy and information, replication of form and social evolution: ∆o->∆a->∆e->∆i->∆U, is what we call the program of existence:

Points perceive to orientate (∆o) its motions with accelerations and decelerations and change of orientation, ∆a, which allow the being to feed on energy, ∆e, in order to reproduce its systems either individually or sexually to iterate itself, ∆i, and then evolve socially into ∆ Universal new single planes of existence. The program of existence of the being thus make it grow constantly, and by growing, its ‘Generator Equation’, which represents its complementary systemic nature, its ternary elements and on the whole its ‘existential force’, that is its spatial energy, temporal information and reproductive capacities, ∑ Sp x Tƒ = RST becomes more efficient, and makes the whole ‘networks system’ stronger.

And so by a mixture of restrictions of spatial topology, time cycles and world-plane ‘mathematical structures’ and a will of surviving and enacting the game reinforced by various methods in the zero-points, the astounding wealth and variety of forms of the sentient, eternally moving Universe and its ‘existential forces’ keep evolving:

** In the graph, **the planes of existence and some particles of the human being – with an informative scale, Max. Tƒ=Min. U. The human being interacts along all those planes to extract its ∆a actions of motion, ∆o, perception, feeding, reproduction and social evolution. We does co-exist in all those scales, and our components act in all of them allowing our motion, etc. Our actions, our program of existence which is not different from any other being. And in each plane each point enacts actions which are synchronized into waves of actions, of larger ‘existential forces’ that group into new cyclical waves of actions, emerging once and again in an upper scale.

How all those scales co-exist together? The answer is an interesting but difficult concept to grasp:

In the smaller world there are more time cycles than in the larger world. How does we adjust this ‘time longitude’, larger in smaller worlds respect to bigger simpler worlds

‘Strictu senso’, if we consider all the planes to have departed from a single past-point, T, the upper scales will have a ‘time delay’ similar to the delay of any web respect to its harmonic initial focus, only though we are measuring time delay.

Thus the smaller world will be in a ‘relative future’ to the upper worlds. On the other hand, the upper world must be done into the future, with the smaller worlds already sustaining them as past forms. Here there is a fascinating first contact with one of the most complex elements of ∆ST theory – the relativity of past present and future states, that co-exist in quite mixed orders.

In brief, the smaller worlds have more ‘time content’ than the larger worlds, which are both, slower and increasingly lagging in a relative past to the smaller worlds actions which code them, *but both are from their relative frame of reference futures, as the larger worlds see the smaller as their sustain, and the smaller code the larger as their past. Consciousness of what is time past or time future is thus relative to the point of the scale of planes we occupy:*

In the graph the relative position of man as a space-time system with a relative point of view, on the thermodynamic, organic scale across 3 relative planes of the 5th dimension in which it exists as a world cycle of a super organism, guided by the will of its relative, higher, spherical mind-point of view, the I=eye < Wor(l)d, that is a spatial system of perception (the I=eye), and a temporal language of information that stores the knowledge of that space in logic terms, through its linguistic Universal grammar (the w0r(l)d). Man as such is a supeorganism, which we will describe with the same laws of all ∆Systems of the Universe. Since it lives through the same space-time symmetries, topologies, ages and relative scales that an other system of nature – a 0-mind, perceiving, feeding, reproducing, trying to evolve into larger social wholes…

**Dimensions as the 3 functional organs/topologies: vital spaces, cyclical membranes and o-points of measure.**

So we find in the Universe always 3 elements in all systems, which correspond to the 3 ‘topologies’ of mathematics, and the 3 ‘ages’ of life world cycles (since life is cyclical changes in time are NOT worldlines as physicists believe, but world cycles):

- The vital space of lineal motions, enclosed by the cyclical membranes and time cycles, focused in a central point of view or frame of reference, of maximal density of information that gauges information, linguistically and has the structure of a Non-Euclidean, Fractal point, through which multiple ‘parallels of energy and information’ can cross.

This ‘mind, soul, god, monad, Maxwellian Demon’ that creates the order of the Universe will be then defined by a simple mathematical equation and geometry as a 0-point, whose function will be to maintain the whole system ‘stable’; that is in biological terms ‘to make it survive’. It does not need to be conscious, but as Leibniz described it in his work on monads, apperceive mathematically, vegetatively or linguistically, because simply speaking, Evolution implies that a system which ‘maintains the ‘whole’ stable and survive lasts on time. So automatically as time goes, ONLY systems who had this ternary efficient, symmetric, stable configuration have lasted, have been selected.

This definition, when translated to mathematical physics, coupled with the Principle of Relativity as defined by Poincare-Einstein, ‘we cannot distinguish motion from stillness’ will allow us to derive all the laws of Physics and explains its main systems. So for example, an atom has a central point of view of maximal density; but it has the advantage that can be applied to all other sciences, to define all the laws of knowledge.

Though at first sight their resemblance might seem a mere coincidence, all of them are ternary systems, which we can describe with the same ‘Generator equation’ of ¬Æ mathematics, the formalism of T.œ (the Organic Theory of Everything, which unifies all sciences as descriptions of such systems in any scale of the Universe).

All of them will be made of:

– A central, informative point, seed, or o-point that gauges energy and information, connected to a membrane or time cycle…

– That encloses an open, entropic field of lineal motions-distances that displaces the system.

This seemingly simple structure, however has infinite variations and ‘biased deformations’ from each point of view and language. So in science we shall always observe the complexity of the details of each variety of the ternary ‘organism’, and specially the enormous inflationary number of ‘linguistic mirrors’ that reflect and deform this vision creating particle subjective Worlds out of objective uniformity of reality.

We define a quantity called the circulation as the resulting speed of the liquid in the tube times its circumference. We can again extend our ideas and define the “circulation” for any vector field (even when there isn’t anything moving). For any vector field the circulation around any imagined closed curve is defined as the average tangential component of the vector (in a consistent sense) multiplied by the circumference of the loop. And as Feynman puts it: “With just these two ideas—flux and circulation—we can describe all the laws of electricity and magnetism at once. ”

But then again, in biology we can describe in time the birth of life as a process of creation of membranes holding a field of carbohydrates.

And finally in both, field theory and biology we will find a central point of view, the charge or the DNA will appear, accelerating the informative process of evolution of the system.

Thus the approach of the philosopher of science to the Unification of all systems, is one that includes together the 6 motions of time of Aristotle, its cyclical patterns of generation, evolution, growth, diminution and extinction, along a 5^{th} dimension of relative sizes and speeds; and of course, the 6^{th} motion or Locomotion, in lineal space, which however will turn to be the less important for ‘meaning’ of all of them.

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

Now if we were to speak the most beautiful of all those jargons, as it is the language of all those beings, Non-Euclidean, Non-Aristotelian i-logic mathematics, the needed upgraded 2300 years overdue of the sciences of logic and mathematics that will allow all those of you who are NOT only ‘selfies’, self-centered life cycles and can take the necessary bashing of all your ‘beliefs’ to relief your slavery to childish thoughts, we would define those 3 elements as the ‘only 3 topologies of the Universe’ and write a Generator Equation in terms of topological geometries:

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

This simple topological equation defines how the 3 parts of all beings are constructed. And remember if you are a mathematical physicists that the universe has no more topological forms than those 3. So all what exists will be a ‘diffeomorphic’=local assembly of those 3 topological parts. And you just need to fill the names of that geometrical template. An atom will have a O-nucleus, an |-electrons and a Ø-hyperbolic body-wave of neutrino, gravitational and ¥-electromagnetic waves between them.

This simple statement ‘enlightens’ your understanding of an atom and a galaxy and completes 100 years of quantum physics and relativity. Take it or leave it.

I shall prove ad nauseam, as ‘master ludi’ of all languages and sciences that NOT a single science escapes the ternary symmetries defined by the Fractal Generator of the 5D space-time Universe and its structure. But you WILL likely deny all those proofs. Since man is not alien to the paradoxical equation of the mind:

‘Infinitesimal self-centered O-Point x ∞ cycles of space-time’ = 0 x ∞ = C-onstant Linguistic Mind mapping of the Universe’.

But how can we differentiate forms and motions. What are a form and a motion? The answer is that all has form and motion *at the same time. Motion is the objective reality, Form is the still perception created by a mind. So the Universe is about motions, the worlds of the mind about forms. Reality is about motion, knowledge about form. Reality is made of time cycles and lineal motions, mind about forms created with time cycles and dimensional distances, created with minds.*

*Τhis is what Galileo discovered but never understood, as he was just an artillery master. It is the Principle of Relativity, which is at the core of all physical, scientific laws, but we shall call the Galilean paradox, because Physicists, from Galileo to Einstein, were aware of it, founded their science on it, but have never quite fully grasped it.*

So how to call both states for time cycles and spatial lineal motions?

*This is a difficult choice of wording, given the confuse terminology humans use for those a ‘priori states’. The proper way would be to call it fractal world vs. moving Universe, form vs. motion, virtual vs. real, and so on. *But as we are in a world of physical concepts, after much ambivalence in the terminology – not in the concepts and mathematical analysis of them – I came to settle in the classic terminology of philosophy based in the relative function of those 2 elements in the systems of the Universe and call generically:

– All states of relative motion ‘time states’ or ‘time ages’. And its study diachronic studies.

– All states of relative form ‘space states’ or ‘space organs’. And its study synchronic studies.

And yet keep the formal duality naming O-Time clocks, Time, but also |-Space motions, entropic spatial motions.

Why? Because in *relative terms time motions, cyclical motions, vortices, implosive motions, are accelerated motions, while lineal motions, entropic motions, res extensa are decelerating motions. So in relative terms time moves faster than space. And this is the key to understand physical systems. So we can ascribe to the ternary elements of reality 3 type of motions/forms:*

*– Tiƒ: There are cyclical vortices, which are accelerated motions-states-forms that carry the information of the Universe. So they are studied with cyclical, accelerated equations. Such is the case of General Relativity, which studies the accelerated vortices of time created by masses. And their geometry is spherical, elliptic. They are the particle, or solid, crystal state in its center.*

*– Spe: The are entropic, big bang, expansive, res extensa, spatial motions, which however decelerate from the initial impetus and are the inverse of cyclical vortices. So we find often the equations of a big bang correspond to the inverse equation of a cyclical vortex. For example, the equations of the cosmological big bang are the inverse of the equations of the black hole, as they are the limit of temporal vortices (the black hole) and expansive, res extensa (the big bang that creates space). And their geometry is planar, toroid. They are the field or gas state of physical systems.*

* – STœ: And there are ‘waves’ with a steady inertial constant speed, which combine both, cyclical and lineal elements, and their geometry is hyperbolic. They are the wave or liquid state of physical systems.*

So we introduce you to the much vaster wealth of knowledge provided by the proper understanding of ‘vortices’ of cyclical time and its interaction with res extensa, lineal space.

Cyclical times have more form, more dimensions than lineal space, as they are time cycles, not lines, and this fact – that cyclical time, has more dimensions than a line, is vital to the whole understanding of time cycles. How many more dimensions?

Time cycles have actually 3 dimensions, or motions (depending on how you see the cycle, still or in motion), which we have always known.

In the graph, since space and time now had two dimensions each, we can compare them, and transform one into each other, we could write that property with a simple formula, where Sp is a flat plane of ‘lineal space’ and Tƒ is a cycle of tall time.

*Sp (length, width) ≈ Tƒ(height, frequency)*

This simple beat of existence, flat fields of space that become tall cycles of time, energy that converts into information, is one of the commonest beats of the universe. And its rhythms explain infinite transformations.

*Now this is very important because it can be generalized to all systems and allow the transformation of space dimensions into time dimensions. As only parameters with the same dimensionality can be transformed into each other. *

*So a cyclical vortex of time (a mass, a charge, an angular momentum, you name it) can be changed into an, entropic motion that expands into a plane of space, precisely because they are 2 dimensional. And this will then be carried to the 3 dimensional symmetry between 3 spatial topologies (toroid-limbs fields, hyperbolic waves-bodies and spherical heads-particles) and its 3 time motions-ages (entropic youth, fast motions; reproductive, iterative adult ages and informative, 3 ^{rd} ages). *

*And then every 3 space-time symmetries that fill up a plane of the 5 ^{th} dimension will emerge upwards or dissolve downwards into larger or smaller scales also with dual motions as ‘energy and information emerges’ into a new scale with new topologies of space, new motions and clocks of time, or dissolves into an infinity.*

** The layered 3rd and 4th dimensions. The mathematics of planes of space and cycles of time.**

How those planes of existence build their social planes, of space.

Now, there has been much confusion on the meaning of dimensions, since Minkowski grand nonsense in conceptual thought, established departing of its useful mathematical equations of 4-vectors, the concept that time was a dimension of space.

What those 4-vectors show truly is a series of Sp=C/Tƒ, and Sp=Tƒ, maximal, minimal and steady points of the 3 ages and symmetries between space and time. Albeit the time 3 ages/motions are integrated into a single lineal time duration and loose most of its meaning. So for each of those 4 vector equations, its fundamental S≈T symmetry must be studied departing from space-time symmetries. That’s all.

The relationship of time and space in those vectors is thus just one of essential balance and symmetry between the 3 vectorial dimensions of space and the 3 ages of time, sequentially added by duration.

Another expression common to mathematical physics are relations between the fundamental parameter of lineal motion, speed, and cyclical motion, density of an scalar, whose product is the flux of a quantity.

All these equations of dynamics require a specific analysis of which dimensions are seen as dimensions/distances/areas/ volumes/membranes/topological forms and which one are seen as time, motions, rotary or lineal or wave-like motion, and so a lot of conceptual analysis on how the human observer quantity a given space-time symmetry and its dimensions/parameters of motion/distance is needed.

Yet there are generic models which allow us to extract clear formulae of combination of motions and forms in the construction of being. The 3rd dimension of pure form or volume, for example is obtained through the layer accumulation of bidimensional, think membranes along a gradient of accelerated time vortices, from relative max. S x Min. T past upper layers to inner ones, as density increases.

This new ‘dimension of motion and form’, is thus a dual dimension which intersects with the membrane and creates a 4 dimensional ‘vector’, whereas however it should be considered the existence of two densities of form, the gradient towards the center and zero point and the motions within one of the perpendicular, ‘normal’ layers or planes of space, along the time, integrative gradient direction of the vortex.

4 dimensionality must be seen generally as a holography of space-time bidimensional forms with motion.

We can also consider a 3 fixed form dimensions, the 2 of each layer membrane normal to the dimension of the time vortex, its rotary dimension and gradient dimension.

Now what matter is to observe that any of those diverse formulations of an event in terms of higher form and motion, gradient, curl, divergence or any multiple vectorial spatial or time tensor equation to describe the event and form on space-time can be reduced to an interplay of motions of time dimensions and space forms along the rules of 5D, Œ,Æ, non-Euclidean geometry, existential algebra and 5D metric.

In the next graph we see how new dimensions are added by adding 2-manifold layers which create the ‘3^{rd} dimension of depth, gradient, and hierarchy between those layers, established in equipotential surfaces of similar value, which in detail appear as relative ‘planes’ of minimal curvature, as we saw the Earth for millennia:

Now the growth of planes of existence has in its simplest mathematical meaning an obvious limit:

it grows in pairs, often of space-time (complex plane of binary numbers), or by superposition in the Cartesian-hyperbolic Plane, of weaves and present space-time systems, of SS combinations, or in a polar plane for TT combinations.

So the Planes of bidimensional numbers permit bidimensional forms, but THERE ARE NOT tridimensional numbers. The next level is the plane of quaternions, ‘OBVIOUSLY MOVING IN THE 5TH DIMENSION’ as it is not-commutative as motions in 4 dimensions are.

So we have a simple guide for the first steps of construction of worlds: to know that numbers are social groups of any kind of points, growing in the fifth dimension, and to know that the complex plane is an space-time plane, where the angular frequency mounting the plane of space, sucks in as i does on the negative square part of it.

We can in that ensue consider the geometry of Einstein, where time rest -c2t2, considering time ‘i’, -c2x-1 = +c2.

Thus what the Einstein metrics write really is: Ds²=x²+y²+z²+c², that is ‘speed not time’.

The description of this complex plane of a space-time 4 dimensional system can be done also with quaternions as a single block, but it is hardly needed, as what humans are more interested on in the exchange of relative energy and information, loose terms in the verbal mode for spatial energy, or lineal planar motions and cyclical, repetitive harmonic oscillators of information, cyclical motions, hence created at least with 2 points (as 2 points in the postulate of geometry of the cycle suffice to create one).

In the graph, we can understand better the meaning of a bidimensional Universe in which the 3^{rd} dimension is made by a sum of bidimensional layers where the relative X≈Z>>Y structure extends over an equipotential ‘democratic’ surface clone ‘œ-points’. Then the gradient of a given force or flow of information structure them in the ‘hierarchical dimension’, normally of Height, where the ‘strongest’, energetic point is in the lower center and inversely, the highest informative, most perceptive observer point in the upper layer.

So on Earth, the outer membrane or continental crust hosts its highest informative points, human heads, while the center stores the most energetic=massive atoms, an iron core, probably seeded of high density uranium-lead crystals.

The bidimensional structure is common to all systems, which have an outer thin membrane that breaks the inner vital space and outer Universe. It is not however an absolute concept, as there is always a gradient which allows transfers between layers or social classes, but this osmosis that transfers momentum between them normally is far thinner, slower than the communication between atoms-particles-heads of the same layers.

And so changes of layer membranes require an existential ST effort, either an increase of energy or information (in the inverse gradient of both formal motions). This case is illustrated by the electron ‘plane waves’ which constantly vibrate around the atom (Schrodinger’s equation), but can change layer by an Energy impulse.

Thus in this manner the Universe adds a 3^{rd} dimension of depth that gives volume to a bidimensional system, and also new forms of motion, which the classic model of physics group all together into the concept of the 5^{th} dimension.

Dimensions grow as systems grow and multiply. So paraphrasing cheng-tzu, the Chinese philosopher, from one, Tao, ‘time motions’ comes 2 ‘space forms and time motions’, yin and yang, space lines and cyclical forms’ and from 2 comes 3 varieties of space-time, which give birth to the infinite beings of the Universe.

Let us then introduce in more detail the 3rd element of ∆ST, the scales of the 5th dimension.

** Finally, the 5th dimension of scalar space-time puts together 3 co-existing planes of the super organism.**

Now for a dimension of space-time to exist, an entity must be able to travel through it, while the space-time remains co-invariant. Since it is precisely the co-invariance of both parameters what allows ‘species’ to travel through those scales and exchange energy and information through them without the system and the dimensions to ‘become unstable’.

In words of Klein, one of the discoverers of Non-E Geometry:

‘A Geometry is the study of the (co)invariant properties of a space(time), under motions within itself’ (Klein).

So how we travel through the 5th dimension? Simply moving through it and so we need to define the 6 motions of the Universe.

In the graph to order all those fractals scales of space, and cyclical structures we need a new 5th dimension of scalar space-time (ab.∆), made of different ‘decametric’ scales of spatial size, (Spe), each one carrying a different speed in its cyclical clock-like cycles of information (Tiƒ), defined by a simple metric equation: Tiƒ x Spe = constant, which allows the co-existence of different species in those scales, as the larger beings are slower than the smaller ones, so both can survive (and you cannot catch a fly:), even synchronise its time clocks and sizes, to create complex organisms extending across 3 fundamental scales, the ∆-1 cellular/atomic scale, the ∆-thermodynamic/organic scale and the ∆+1, gravitational/social scales.

The co-invariance of space quanta and Nature’s time clocks, of which there are also an ∞ number of proofs, from the Moore law of faster, smaller chips, to the metabolic rates of smaller faster animals, and the vortex laws of physics, allowed the transfer of energy and information between scales, as Energy (the product of a space quanta and its frequency of time) remains invariant. So we can rephrase and fusion the 2 fundamental laws of science:

*‘The Universe constantly transform spatial energy, Spe, into temporal clocks of information, Tiƒ: Spe<=>Tiƒ…*

* combining both into vital and Universal constants that define the structure of all space-time beings: *

*Spe (limbs/fields) x Tiƒ (heads/particles) = ST (bodies/waves). *

This simple equation is what we call the fractal generator of space-time.

Now in this ‘packed’ fractal Generator, which ultimately is a seed of logic information about the dynamic motions and forms of the Universe, we have resumed a great deal of the Universe, but we have already seen how we can keep adding details (expanding the original equation, TxS=K), iterating them, expressing it from a slightly different point of view.

All Fractals DO have a simplex equation that generates by iteration ALL its ∞ complex parts as scales (as in Mandelbrot fractal).

Thus the Universe as a fractal can be explained synoptically with a single equation that expresses the 3 ‘dimensions’ of time past, present and future, and its 3 symmetric dimensions of space, which are the ‘elements’ that constitute all beings of the Universe:

*Sp(past, energic, lineal limbs/fields)<ST-present, iterative, hyperbolic body/waves>Tƒ(future, informative cyclic particles-heads)*

Now that simple generator resumes the 3 only topologies that form the 3 parts of all organic fractals in space. So all physical systems are made of an o-particle that directs a reproductive wave, which feeds on the energy of a lineal field. And all biological systems are made of an o-head that directs a reproductive body which moves on a lineal limb system. Now if you have a bit of visual imagination, you can see any fractal system of the Universe in those terms.

And as the Universe has only 3 topologies in space, and there are only 3 dimensions in time, we shall observe all what exists is a fractal that emerges departing from its ∆-1 cellular/atomic scale, as a social whole, with 3 differentiated atomic/cellular parts that respond to those 3 topologies and then go through 3 states/ages periods of time, the gaseous-energetic-young age, the liquid, adult, reproductive age and the informative, old age, dominated by one of those 3 topological organs. And then they die…