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INTRODUCTION. 10 ∆ST Isomorphic elements that all Fractal Space-Times being have:

0.1 Minds  @ ≈ Γ Generate…

2.3   Ternary Space-Time Symmetries: B ≈ Ω  integrated into:

7.4.5  Constant, Fractal, Knots of Existential Åctions: ∫Å ≈ ±1: K that

6.8    Become Worldycles of Species:  Ø: Ψ   evolving into:

9. 10   §calar Superorganisms of Stientific Planes:  § : Ξ




If we r=evolved the formal language of space (¬E mathematics), time (i-logic ¬Ælgebra) and scales (Biology) in the previous posts, it is time to apply what we found about the structure of reality to a r=evolution that widens the scientific method to all the scales of the Universe. This I called the homologic method, considering that the same laws, topologies and organic behaviour in different scales of reality are due to the homological nature of all beings made of space-time:


In the graph, consider the well known case of homology and analogy in evolution. The bat and the bird are said not to be related genetically and their wings evolved in anagogic, parallel. Fact is in ST-beings and STiences all BEINGS share their topologic properties because they are made of spatial entropy, and the line (and plane) are the fastest/shortest distances in Euclidean light space-time. And their organic properties derived of the ∆-5th dimension are also homologic. So as we go a bit further back in time than evolution, we find that indeed the plane, the man, the bird and the bat have all the best topological form in its extremities for motion, (lineal, planar) because they all are made of ‘vital space’. This is the principle behind the homologic≈isomorphic method (equal form).

So how we classify all the isomorphic laws ST-beings follow? The simplest way is by dividing those laws through its origin, either in space symmetries, time ages, ∆-organic scales or mind-languages and its ternary Universal grammar, resumed in the language of all languages (the Generator). We do so in the second line, in which we study:

The 0 and 1 isomorphism, the mind and its languages, resumed in the language of languages, the formalism of GST and its Fractal Generator of Space-time (the equation that resumes the logic of all space-time events and scales of the Universe).

Then we study the dualities and ternary symmetries of space and time, and its space-time ‘present body-wave, energy’ combinations.

We do so in a synthetic, integral manner first, in the second and third isomorphisms; and then in an analytic, derivative form, as we consider those time-ages and world cycles of super organisms, the sum of a series of space-time actions of exchange of energy and information between the inner being and its outer world, which put together in cyclical, discontinuous events create the world cycle of all Universal systems: they are the 4th, 5th and 6th and 7th isomorphisms where we describe beings as ‘knots of space/time actions’ ruled by a series of vital constants, which are mostly ‘ratios’ between space, time and scalar quantitative parameters, and so we find in them, the connection, with the quantitative methods of the mathematical-only method of present reductionist science. 

Which lead us to differentiate in the 8th isomorphism the allowed species of each plane of existence, once the thoughts of God are literally explain in the 0-1 isomorphism in the most general way, then in a symmetric manner in the 2nd and 3rd isomorphisms (duality and trinity), to expand them further in the 4th, 5th and 6th isomorphisms (around the ±4 planes systems exchange energy and information with through the 5th actions and the 6 main vital constant ratios of each being, and its 7 different motions=changes=time cycles)…

Finally once we study how dual and ternary symmetries (2³=8), create the Universe within the limits of its minimalist elements, as we are all made of ‘temporal entropy’, we can see how beings evolve socially through networks into superorganisms, along the decametric, logarithmic scales of creation that first develop ‘genetic societies’ (based in time relations), then spatial ones (based in geographical extensions) and finally space-time ones (based in organic networks) to form an ∆+1 10ˆ10 §upœrganism), which gives birth to a new ∆≈Ξ-plane of existence (∆ being the dynamic symbol, Ξ the static organic ternary one).

So we complete the full description of how ∆ûst (ab. dust of space-time) becomes a super organism through a world cycle of existence, emerging into a whole, ∆, from an initial ∆-1 seed of information, till it returns to the ∆-1 scale.

So we will have developed the verbal conceptual knowledge of the first line in a more formal, scientific manner, using the expanded isomorphic method, which we will be able to apply then in the 3rd line for each species and being – time permitted, and if not, as Descartes put it when he found 400 years ago the previous huge ‘advance of the scientific method’ since Aristotle, with analytic geometry: we shall stop here our analytic geometry to leave something to do  to future researchers, which will expand these notions (quoting from memory).

Now, for those who find strange the symmetry between numbers and properties, Ok, the 6th and 7th isomorphism (vital constants of each being and cyclical motions) can be argued to have more or less fundamental elements.

So I have selected the most important constants and cycles to fit this classification, doubting often between describing 6 or 7 constants or cycles (hence both versions might be found in different sections of the web). Yet as it stands, they are fairly covered; since numbers do have indeed a certain ‘numerology’ hidden on the symmetries of species.

Indeed when cheng-tzu said from one, the line comes 2, the information of bidimensional cycles or broken lines which combine to reproduce 3 and then ∞ beings, is expressing something mathematicians wonder around since the Chinese and Fermat first introduced as mathematical concepts – the laws of numbers).

But this is a theme of the section on maths, which will be the last to be covered (: PRECISELY because nobody will take seriously this work till I show you every main law of mathematics to be related to GST, ∆•ST laws 🙂 So nobody will bother me, till the believer and pedantic scholar thinks I am talking his language of God, well-enough to deserve respect, LOL.


Now, how we do ‘detailed’ studies of this motions of existence, which develop a program of actions in space-time, which creates a finite super organism with a finite duration? In the first line we have done it in a loose way, as we study the meaning of those concepts and give a general view of the algorithm of creation of the Universe. In the second line, introduced by this post, we shall do it in greater detail by analysing those super organisms of ∆•st of space-time and its world cycles, part by part, considering how the ∆, S, T and •mind-point structure the growth and dissolution of dust of space-time into a superoganism of island universe back and forth, through those world cycles. So we can better distinguish between the main sets of organic laws that guide those motions through scales, topologies and ages of space-time:

Screen Shot 2016-05-14 at 21.07.08  The universe and all its fractal parts is a game of creation and destruction of ternary symmetries of space, defined by its 3 canonical topologies, the fastest geometry of planar/lineal limbs/fields of growing past, entropy≈energy, hyperbolic waves-bodies that reproduce the present system and relative future arrows of information, stored in spherical heads/particles, the topology that stores more information in lesser space. It is a topology however made of points that become fractal networks, and so each topological form is a cellular form made of smaller points, which grow in size as we come closer to them uncovering a new scale of the 5th dimension, in which each top becomes again a fractal superorganism.

It is thus a very simple structure, but the devil is in the details, and so to fully grasp how ∆st symmetric ternary beings reconstructed simultaneously in space as a ternary organism, which goes through 3 ages of life as an evolution of those topologies, and displays its actions across 3 relative ∆±1 scales of cellular/atomic, thermodynamic/organic, ecosystemic/gravitational forces, we need to create a more detailed formalism of reality.

This we achieve widening the analysis of those 3×3 structures (ternary topologies of space, ternary ages in time ternary social scales in which the being exists), into 3 x 3 + 0 ‘isomorphic sets of laws’, where the o-point or point that integrates the different parts, scales and time cycles of the being, into a ‘whole’ single entity, or ‘mind’, is the most important element.

Thus in this post we define that detailed set of 10 laws, derived from the ∆ST structure of the fractal super organisms of the Universe, which complete the description of any being. They are common to all of them, as they derive from their scalar bidimensional space-time nature. Yet for each detail, for each vital fractal of the Universe made to the image and likeness of the whole, there are variations that allow each of them to feel ‘unique’, and always self-centred in its zero-mind that appears under the ego paradox to be the centre of the Universe it measures.

We shall first introduce the general method of knowledge, and philosophy of science of the organic, fractal Universe, then enumerate the 10 isomorphisms, and finally study them in greater detail. In the next post, dedicated to the symmetries of the Generator equation, Sp<ST>Tƒ, similar to this post, we will introduce the generator its symmetries and study in a larger measure those 10 isomorphisms, then studied each one in more detail, and finally in the 4th line, which I don’t plan to fill till 2017 if I am still here, we will study all the species of the Universe with those 10 isomorphisms, slowly building for future generations to come, an encyclopaedia of all sciences, culminating them with the study of the metaphysical Laws of “God”, the mind of a super organism, human (Western Gods) or Universal (eastern Gods).

As usual my apologies for unneeded iterations, bad grammar, and disorder, confusing symbols and some errors, as this is a huge job and I am pouring 30 years of research, so the standard level will not be met till Christmas 2016.




0th: Minds: O-points. The conscious will of existence.

1st Isomorphism: Generator: Equations of Existence: S-T Symmetries.

2nd: Bidimensional Space-Time Symmetries: 2-manifold organs: The inversion of space-time parameters.

3rd: 3 Time ages and organs in space: 3 motions-arrows=ages. The symmetry of ternary time-space.

4th: Planes of a Fractal super organism: The structure of the system as a 5D fractal super organisms across 0±4∆ self-centred planes.

5th: Actions:  Actions of existence: ∫æ,e,ï,œ≈û.

7th: Universal Constants: Ratios, Balances and quantitative values of the Fractal Generator.

8th: ±ST motions and networks : The ±3 organic internal and external social networks of the super organism and its cycle of existence.

6th: 2×3 Creations: Species. Duality and ternary differentiation

9th: Scales: 9+§ Eusocial scales of growth.

10th isomorphism: ∆: Emergence of a whole.



1. ∆ST Symmetries of Fractal Space-Times: The generator.

When we study a system as an ∆-whole we shall find synchronically in space 3 topological |xO≈Ø parts, an | system of limbs/fields/territories of lineal or planar energy, an O-spheric system of information, head/particle/linguistic class in control of the languages of financial and legal power of society and an Ø-hyperbolic wave-body-re=productive class system, which iterates across space-time the other elements of the super organism, combining its spatial energy and temporal information.

And finally we can study diachronically the system in time, as it goes through the 3 ages after generation of young-energetic dominance of its limb/field/territorial system, a mature, reproductive age dominate by the wave-body-working class and a final 3rd age of maximal information dominated by the head/particle/elite, which will normally end in a reversal of time arrows, and death explosion in an entropic big-bang, cellular dissolution or corrupted, r=evolutionary war age in societies.

So fundamentally, the ternary, ∆ST components of the being, can be according to a fundamental principle of the fractal universe, its ternary division into parts, and ternary gathering into wholes, be sub-divided in 3 x 3 ∆ST elements, described by the generator equation:

Œ = ∆-1: |-Spe < ∆: Ø-S≈T > ∆+1: Tiƒ

The previous logic equation expresses together all the elements of the ’10 dimensional Universe’, its 3 scales of size co-existing together that gifts the system with organic properties (∆±1)…

Intimately related to the 3 organs of the system, as limbs/fields of energy absorb it from micro-points of an ∆-1 scale, and the O-head/particle  of information connects it with the higher world, ecosystem or super organism in which it exists, while the ∆-bodywave is the biggest, most important ‘action-riddled’ element of the plane of existence in which the organism exist as an individual.

Which as we know is also directly related to the 3 ages of life of the system, its energetic youth, reproductive body-wave maturity and old, informative 3rd age.

So we talk of 3×3≈9 dimensions that structure the system in space, time and the scalar Universe.

Yet the previous fractal generator would mean nothing if there was not a self-centred point of view, mind or will, still-mapping of the Universe, Œ, which considers the whole as itself and enacts the vital program of survival or ‘existential function’, moving, feeding the limbs with energy, the head with information, reproducing the system and evolving socially with other systems. So all starts with the duality of a Mind, Œ, which controls and generates, a territory/field, wave body and particle-head, as it is born first as a ‘genetic/quantum/memetic’ seed of information which enacts the program of super organisms tracing world cycles.

The 2 great sub-disciplines of GST are the study of ∆-scalar ‘finitesimal calculus’ – that is the study of social d=evolutions in emergent and dissolving birth and death processes, and the study of  ST-Symmetries, that is the existence in a single plane of ∆ST of beings as forms which switch between space and time states (dual beats of existence) and act modularly from the p.o.v. of its entropic limbs, informative brains and energetic bodies (ternary systems of modular action), as the super organism enacts its 7 motions in times, goes through its 3 ages in space and finally becomes a single world cycle, returning to the dissolution-death process, back to ∆-1.

The being thus exist in a 10-Dimensional universe, or rather there is a program called creation and destruction  10 D ∆ST• BEINGS, which is run in a virtual Universe of potential ‘existences’, which ‘become ‘enlightened’, ‘excited’, ‘drawn’, ‘created’, when certain potential fields of ∆-1 entropy are ordered by future in-form-ative flows that become ‘reproductive, iterative waves’ of ‘actual’ beings, knots of space-time cycles.

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In the graphs, we could consider the Universe as a potential field of creation, restricted by the laws of i-logic geometry, of what is possible (a great lot) to create, and once created, the system will go through the program of superorganic growth and world cycle extinction.

Motion does not exist. Motion is reproduction of energy and information by transfer through a simultaneous resonant wave between two particle-relative ∆+1 gods a flow of ∑∆-1 exi quanta, which bring together a flow of iterative, present reproduced information. Yet for information to transfer, translation is also translation, that is motion and reproduction of form:

Screen Shot 2016-06-05 at 18.53.23

In the graph, a present-wave of space-time (∆-3 scale: ¥-spacetime) reproducing equal forms and in the right, collapsing into a future x Past, particle and scattering field. Symmetries of that type, ‘happening in real time’ not only on the mind i-logic reductionist vision of it, is what the stuff of reality is all about: vital topologies of existence, playing its space-time actions in search of the immortal form.

We exist by the magic of motion, which is the magic of transfer of information, along a path of space, which becomes formed≈iterated into a micro-replica of the whole self,

which at the end of the travel by virtue of the existence of deterministic paths of fractal reproduction of the travelling seed of information, upon arrival will reconstruct a similar being

So reproduction and travel through space-time is reproduction of a seed which through THE GAME OF ∆st symmetries and §ocial evolution through Ξlanes of existence, convert the information into a replica of the being:

Screen Shot 2016-04-05 at 23.50.38Screen Shot 2016-04-03 at 20.31.55

In the graph, the simple operations of ¾ imprinted in surfaces of relative space, under the action of the 3 arrows/topologies of space-time, give very different trans-form-atons and transfers of energy and information, from seeds into wholes.

Thus when we consider the operations of reality that are effected on a given vital space-time plane of existence, we shall then define, the whole range of possible symmetries, which do NOT perceive fully, but mostly in the initial and final point, | and O range.

We can though reconstruct the whole ‘film’ of those symmetries merely by postulating that time never stops in all bio-logical processes, transforming a logical still mind Universe into a bio-logical, vital, topological world of space-time beings, as we are giving life to the mind of geometry or in inverse fashion reflecting the life of the Universe with more complex, free-range, i-logic mathematics. In the graphs, we can see the introduction of the arrow of motion to the past, which is mostly one of information, that travelling to the past, finally seeds and returns to the present in a reproductive wave, which self-organizes and emerges as real.

The being travels to exist through 3 such vital planes:


In the graph the symmetries of time and space, and the 5th dimension, and its combinations in cycles of existence between scales of reality conform what we know and experience as living, existing, a property common to all Non-Ae beings of the Universe.

Existence  is a travel through ∆ST symmetries, which we can see as a series of discontinuous, mirror imprintings of information in waves of motion or as still images, algebraic groups of space-time, made of the 3, | x O = Ø functional topologies.

As we exist though multiple acts of reproduction and iteration become a complex narrative, that of a super organism, living and dying in a world cycle.

THE QUESTION of death  now becomes obviously the question of the destiny of the time world cycle consciousness of the whole, when the finished duration and organised structure dissolves.

But the being has a continuous consciousness of time passing regardless of those brusque changes of space-position, a tale-told by the passing of the being through symmetries as a software of the hardware potentially drawn onto those symmetries.

It might be wondered if there is at the bottom of the pit of infinite elements a final hardware. This would be a continuous finalist concept that would require the existence of a base of static formal infinity above which forms rise and it is unlikely.

The most i-logic theory of the Universe is one of global laws expressed in local domains, which somehow have become equalised by the survival communication across discontinuous domains, which have become finally tailored to play the same game of existence, as the most efficient, perfect survival game available with the restrictions of having mainly and only motion and lines and cycles to draw with it.

The second and third symmetries: space-time equivalences. B≈Ω

Hence we study first the ‘Mind-Generator’ as a dual Œ-Γ, o-1 first and last symmetries of ∆ST that define the being – the informative whole-mind as the ternary super organism it generates departing from an initial seed of pure information.

Then to facilitate the analytic study of that ∆ST species, we consider 3 x 3 type of studies on the 3 x 3 dimensions of ∆ST of the being. The simplest approach would be obviously just to define those 3 x 3 + 0 (mind-whole view) elements but that would be an all too obvious, little revealing approach:


In the graph, the 10 dimensions of the Universe as a whole, above, its 3 canonical topologies, in the middle its 3 time arrows, below the 3 fundamental scales, the atomic, thermodynamic and gravitational scales, and the ‘hypothetical vision of the galaxy’, our island-Universe as a ‘whole’, ∆-1 atom of a hyper-universe. It is the simplest ∆ST description of a being.

Instead, experience on my GST analysis of species in the Universe have made me considered a slightly different approach to analyse any being and all its properties, departing from those 9+0 dimensions, focusing in the 3 elements, ∆, S and T, and its fundamental parameters.

So we shall study regarding the space topologies and varieties of its species in space, 3 type of symmetries:

The Bidimensional Symmetry and interplay between the pure space-entropic and informative-temporal elements: B,

We will then study also to differentiate a certain being, its vital, universal constants, C, which are basically ratios, between the different dimensions and elements of the being, measured in simultaneity, hence in space.

And finally, we shall consider the fractal differentiation of species, into different varieties according to the different ratios between its ∆ST parts, and planes, regarding its content and transfers of energy and information:

In Time we study first the Ternary Symmetry of its 3 ages, and its relationship with its 3 spatial organs: Å.

Those 3 ages, are in fact, the sum of a relative infinite number of actions of exchanges of energy and information with the world in which the system lives. And so we can consider a general formula, Å=∫å (the ages of the being are a result of the sum of all its actions of exchanges of energy and information with the environment). Thus we study  å, the actions of he being, which as we have explained are named with a simple mnemotecnic rule: ±∆æ (accelerations or locomotions), ±∆e: feeding of energy, ±∆ï: perception and communication of information, ±∆œ: reproduction into an offspring of clone beings and ±∆û: social union with similar forms till the system emerges into a universal – a social whole.

 Ω: Finally, a 3rd telling approach in the analysis of any super organism, is from the perspective not of its space-time actions of survival (internal point of view), but from an external point of view analysing the whole being and its ages and actions of existence as a series of sub-cycles, or ‘type of motions’, which can be studied in the entire time duration of the being, as a whole world cycle, or in detail as separate motions; as all beings will go through 7 type of ‘motions’ in the Aristotelian sense of CHANGE=TIME=MOTION:

  • ∆-1: Generation from a mind-seed of still, memorial pure information -> ∆: Locomotion (the only form of motion studied today as such by influence of simplex physical analysis) + Growth (dominant in the first, young age) -> Reproduction and evolution (mature age) -> Diminution (3rd age) and Extinction (death).

±4 planes, 5 Actions of Space-Time:  ∫Å ≈ ∆±1: K

Now, the sum of those motions of time, happen as the system develops a series of actions of exchanges of energy and information with the environment, in which the ever optimist ego-centered being expects to get advantage and become forever young, with more energy and information but ‘somehow’, the whole subtly keeps warping the ‘poor thing’ slowly but steadily till it wears it out, wrinkles, warps and gets the poor thing old. The ego thus survives in as much as it manages to absorb energy and information from the environment, communicate with similar beings and organise more complex ∆+1 wholes, but in doing so at the same time, it keeps wearing out its systems and giving away unwanting little parts of it in the form of free radicals, broken parts, poisonous energy, wrong information, external predators, accidents, etc. etc.

So as the being enacts its actions, å, of energy feeding/moving, information perceiving/communicating and social evolution into wholes and dissolution of wholes into parts, magically the world cycle emerges as the sum of all those actions which unavoidably close into death and extinction. Hence the next symmetry relates precisely those ages of time, its actions and the specific exchanges of energy and information, with other ∆±1 scales through those actions, which determine the value of each action and its final sum. Such exchanges are regulated by universal constants, as they absorb and exchange energy and information from a larger field/world, and so certain physical, universal constants, which show ratios of energy/information available in a certain ∆-plane, play a key role in science, in as much as they are the ultimate tap of pixels and bits and bites to form reality.

So in this ‘section’ of the analysis of ∆ST symmetries we can study many elements, which might be overgrown in current science (so locomotion, which is really just one of the 7 motions of one of the 10 main symmetries of ∆ST beings, occupies in human thought, due to the overdevelopment of physical machines an astounding amount of exhaustive knowledge).

It only remains to study the more novel elements of the system, its:

 : we first analyse the being in its ∆±1 structure as a whole made of atomic/cellular parts, (∆-1), which come together into a thermodynamic/organic whole, ∆, part of a larger, ∆+1 world, ecosystem, society, super organism or gravitational scale.

§: Yet when we study the being as part of those wholes in space (super organisms) or as part of a world cycle with its 7 phases of generation->ages/Horizons of evolution into larger social wholes, a fascinating pattern of decametric organisations, of 3 x 3 sub-parts joined by the Œ-mind point appears, making decametric systems the fundamental unit of social evolution of parts into wholes. So we shall find that a human being has 10 sub-systems, societies go through 10 decametric scales, from the 1-individual to the 10-nuclear family of 3 generations, 100… and so on till arriving to the 10¹°-¹¹ elements which gives birth to a new ‘plane of existence’, either a super organism or relative world:

Ξ So we end up with a general analysis of the planes of existence of the Universe, or rather its ‘stiences’, each one studying the species and events of a certain range of decametric societies of beings. This 10th Symmetry does concern the Universe, our absolute super organism as a whole, and will give way to our analysis of all the beings of the Universe with its 10 symmetries of ∆ST, WHICH CAN accommodate all the properties, events and parts of any being of reality. And we call therefore this 10 set of similar laws all systems obey, based in the ∆ST PROPERTIES, COMMON to all Space-time systems of the Universe, which indeed are just varieties of or parts of a worldcycle of a super organism, between its birth and extinction, in which the space-time domain of a certain Œ-mind/seed of information, will ‘travel’≈’exist’ through those scales, ages, cycles, actions and symmetries of ∆ST.

That’s all what there is to it, folks, no more no less.

GST Study of  ∆ Time-Space beings and its ∆TSymmetries: future spheres, past lines, present waves

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.

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.

Screen Shot 2016-05-18 at 16.22.22A-1A-3

Duality wave-body/mind-head: spe/Tiƒ

In the graphs we see the configuration of some living systems in the universe, with a territorial body-wave larger in space, simple in time, controlled by a mind point of view, which together form the basic structure of all natural systems:


The fractal generator:

∆-1 |Spe < ∆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.


The Universe moves through symmetries of ∆st. The combined number of symmetries using 3 elements were already considered in all taoism the engine of existence. we call ‘real symmetries’ to those symmetries which do create in effect a ‘spatial form’ similar to the original one, albeit transformed through the symmetry, appearing in other region of space-time, or with other form, or size, as ‘changed by the symmetry’.

We call the imaginary part of the symmetry, the temporal flow, often an iterative wave motion, or seed emerging into a larger plane of space-time, the in-between stable spatial forms flow that rises and trans-form one being into its symmetry of existence. The mathematical operations that describe those symmetries are ‘fixed forms of the mind’, to which we have to add the ‘imaginary motion’. If we are to study in such terms the space and time equations of mathematics we have in fact many times found a real and imaginary part corresponding to the spatial and temporal motion…


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).

3 ages best corrected

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).

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).

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

3 scales

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.

The 3 ∆ST symmetries of all systems are at the core of the ‘isomorphic, fractal space-time method of GST analysis’ of all the super organisms and world cycles of the Universe:

-Below the metric scalar structure of wholes and parts with its different ∆-arrows of energy and information. 

-Above the 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.

-Next the 3 motions of time which are the 3 ages of life, each one dominated by one of those 3 topologies.

-Finally the 3 scales of size of life on Earth, the ∆-1 cellular scale, the ∆-organic and the ∆+1 ecosystemic scales.

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:

Human worldcycle

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).

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

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. The 0th isomorphism…

How can we study all those processes with the highest of all possible formalisms? Simple. taking each of the ∆±∞ species we observe and study them in its events in space and time, as the product of the symmetries of space-time, yin and yang, energy and information that create all the systems of the Universe.

Its description through the 10 canonical symmetries of 5D space-time will then give us a scientific deep understanding of the species.

The first symmetry is that which relates the inner perception of the being, with the being in itself and its 3 parts as an organic whole. Can we consider that the whole as a game of existence common to all beings, made explicit by the laws of ¬ Æ topology is outside the whole, that what we cherish more, the individual is not individual at all?  But the precise, rhythmic deploying of a template game of survival which will unavoidably bring a world cycle of existence and a repetition of motions that leaves no freedom, no doubt no probability in the certain outcome of the world cycle and final dissolution of the self.

And a property hardly noticed – immortality, of a game of virtual existences that has never ceased to exist and so it has been able to provoke an EXISTENTIAL EQUILIBRIUM STATE FOR THE WHOLE AND MOST OF ITS PARTS WHICH WE CONSIDER ISOMORPHIC IN ANY DIRECTION OF INFINITY.

Departing from those facts little can reconstructed and yet so much it is made. But distance should fade away the effect of a generating, distorting mind that bends reality.image036

In the graph, the mind somehow starts the game by constructing always the same linguistic grammars, Sp>ST>Tiƒ in its perception of beings. It is then the mind the program? The structure of the i-fractal point and its properties what causes the whole game to unveil as it does? can we deduce the existence of the virtual reality we call the Universe as a game of virtual informative ghosts with a finite wave-duration caused by the existence of perceivers who slowly started to absorb and beat back and forth information and energy, pumping up and down the slow distortions which finally waved a territory that became its vital web; Does the mind after being born, Tiƒ, by the mere fact of existing, provoke a vortex like flow around it that will finally bring a physical or biological system? 

All systems of nature are parts and wholes at the same time. In a fractal Universe we can study all systems in relationship to its larger, ∆+1 world, as an ∆-whole in itself or as a collection of ∑∆-1 parts, atoms in physical systems, cells in biological systems, citizens in super organisms of history.

The Æmind does not perceive the whole reality, but only what its language absorbs of mirror images that translate through communicative monads the information of the Universe.

WHAT SHE perceives is dependent on what she is connected to, communicating with.

Yet since to communicate in space is needed simultaneity and in time resonance, a being can only communicate with the, selected points where simultaneity in space or resonance in time is possible.

Such is the selection that we can compare all acts of communications to mirror symmetries in time (resonances) and space (simultnaeities), which give birth to an action of boson-fusion identical information, of the 3rd postulate of equality, which allows a non-local non-temporal act of communication perceived as a symmetry or translation after reflection in a plane below or above the system with more or less energy and information.

So a flow of e x i starts moving and that motion will end up in an action or order, as the image mirror reaches its points in which it will be absorbed and translated.


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.




Now, once we have surveyed in a more disordered meaningful manner the Fractal Generator, its sciences, and its fundamental particle in 5D Space-time, the Worldcycle of a Superoganisms and its ∆ST dualities and ternary symmetries – that is, the thoughts of God, we need to enter into the details and create a formal frame for the analysis of every species of space-time of the Universe, across the different scientific scales of the 5th dimension.

This is done by extracting 3 x 3 +O fundamental properties and elements of the ∆ST, scalar space-time and mental o-points that conform those species.

So we will consider 10 set of equal laws, elements, space forms and time events that all super organisms obey in their world cycles of existence, across the scales of the 5th dimension:

Screen Shot 2016-05-14 at 10.12.09

In the graph a summary of the fundamental elements of the Universe of fractal space-time cycles. On the left the 3 elements that structure the Universe, its cyclical Tƒ forms (membranes and points of view), which enclosed a body-limb system of vital space that moves and reproduces the system. Below the scales of the 5th dimension, in which we always will find those 2 elements.

The Isomorphic method is the detailed, orderly analysis of those elements and properties common to all beings that ‘exist’. Its full account for each species encompasses all the information needed about any ‘existential world cycle of any super organism or one of its fractal parts.

The Universe conserves the ‘present’, SxT product of both, at the point in which they are closer in harmony with similar value – in mathematical terms, the Universe minimises the Lagrangian function, at the point in which S=T, Potential energy = Kinetic energy, angular=lineal momentum, male=female, thus where the 3 elements that compose it, Sp < ST>Tƒ reach its harmony.

The graph defines the scales of  ‘∆-sciences’ and its space-time species, where ‘i’  (old graphs)  or ‘∆’ is the symbol for the ‘space-time planes’ of scientific existence, from: ∆=1 forces, through ∆=2 atoms and ∆=3 molecules, ∆=4: matter states, ∆=5: geological structures (physical scales) to ∆=4 cells, ∆=5 organisms, ∆=6 social planets, and then again, ∆=7 stars, ∆=8 galaxies and ∆=9 universes. In modern texts we use a self-centred ± cardinal with man as the ∆o scale. So the larger scales are, ∆+1: History, ∆+2: Gaia and the solar system, ∆+3 Galaxy, and ∆-1: cell, ∆-2, molecule and ∆-3: atom, to show the similar structure between those 2 limits of human perception (s ∆-3: Atom ≈ ∆+3 galaxy).

NOW BECAUSE all those systems are made of the same ∆ST elements, they obey the same laws extracted from the properties of scalar systems and super organisms, its 5th dimensional structure in space and ages in time, which we express in a synoptic way with the Fractal Generator.

Those sets of laws, in the more rigourous analysis can be consider partial ‘equations’ of the Generator, that is, they are the description of some of its elements, such as the Tiƒ o-point, or some of its symmetries, such as the dual relationships between Sp and Tƒ, or are the result of  the constant exchange of energy and information between those scales and ternary elements (actions, social classes), or variations of the Generator (species).

Thus we shall define for each of those species, 9+o ‘sets of  common laws  which all those scientific species follow, called ‘isomorphisms’, which can be studied both formal and qualitatively:

Θ   0 Isomorphism: The Mind or zero-point.

The 1oth isomorphism is the alpha and the Omega of the system, its zero point of mind, which receives in its infinitesimal point a mapping (Poincare’s Conjecture), from the external membrane of sensorial perception the information needed to guide and control the system, through the will of its 4+i åctions, coded by is 4 creative numbers… according to the mind equation:

0 mind x ∞ Universe = Constant mapping.

We shall briefly analyze them, now, enlarge that knowledge in the 10 subsections of the ‘second line’ of the upper sentence of the blog. And finally study its details for each species in the 3rd line and the 10th sub post of each Plane from forces to cosmos.

The metric of the 5th dimension, the field of research pioneered by this writer defines a Universe made of isomorphic scales of space-time where smaller beings in any scale of reality (from chips to black holes, quarks or rats) process information, stored in the cycles and form of its clocks of time, faster than larger beings (vacuum tubes, stars, electrons or elephants), but the product of both, S xT=K(0±∆) remains invariant.

1st isomorphism. Œ, Æ     The Fractal Generator: The Equations of Exi=st-ence.

The formalism of Fractal space-times requires the upgrading of geometric space to fractal space through the proper definition

That is the Dualities between ‘energy’ & information’, its equivalent forms, ‘Space & Time’, and its scalar ‘stiences’  (the reader should be aware of the existence also of a genetic linguistics, which make ‘wording’ in English to be self-similar to many ‘conceptual equations’ of ∆ST. So we often use those metaphoric forms of language, to stimulate his imagination.

Thus the first isomorphism of ‘Existence’ studies  laws that relate the spatial and temporal, energetic and informative components of all systems.

2.B     The inversion of ‘bidimensional space fields and time  cycles’.

As all systems are constructed with ‘bidimensional layers of space with motion’ (called topologies) of which there are only 3 varieties. So all of them are made with particles/heads that process information and limbs that process energy, and its hyperbolic wave-body combinations that reproduce the system. Thus 2-manifiold Topological laws that study the similar spatial forms of all those species.

3.Ω    3 Ages: The 3rd isomorphism studies the symmetry in time of those 3 topologies.

That is, the 3±∆ temporal ages common to all forms:

Seminal ∆-1 birth; 1st age: past, young, entropic toroid age; 2nd age: present mature, adult, reproductive balanced S=T, social ∆+1 age; 3rd old, informative, future age.  Which ends with a reversal motion back to the past through an entropic death that dissolves the being back into its ∆-1 plane of existence.



4.Λ±4       The ∆o±4 Planes of space-time of super organisms.

The 4th isomorphism studies the ∆±1 planes of existence of the super organism, in greater detail, as those are the close-range planes in which most actions take place: The ∆-1 cellular/atomic plane, the ∆-thermodynamic/organic individual plane and the ∆+1 gravitational/social/ecosystemic planes of the system.

5.Å        5 Åctions

The 5th isomorphism studies the åctions the system realizes interacting with those planes:

∆-4=a (accelerated motion) ∆-3=ï: Informative gauging, ∆-2: E-nergetic feeding, ∆-1=œ Iteration, Seminal Reproduction and ∆U=Social evolution. ‘∆oaeiu.

Once we have defined the main space and time actions of the being, we can consider its ‘metric 5D equations’ which will analyze the ∆±4 planes the species interacts with to exchange energy and information to accomplish those actions, divided into:

  • Its ‘∆±1’ world cycle (life-death cycle) atomic/cellular thermodynamic/organic and gravitational/social planes (physical, biological species).
  • Its ‘∆±2,3,4 ‘far away’ planes from where the system obtains ∆-2 energy quanta, ∆-3 information bits and ∆-4 motion forces.

Thus we define the relationship of the being with the 9 ∆-scales of the Universe that conform its Universe:

Its i=1 Force; its i=2, atoms; its i=3 molecules; its i=4 matter/cell; i=5 organism’ i=6 society or world; its i=7 star, i=8 galaxy and  i=9 local universe (with whom the being normally interacts at i=3, 4 gravitational and electromagnetic level).

In that sense, we consider all other systems do interact also with 9 ∆-planes in an infinite 5th Dimension of never ending planes (11th ‘metaphysical’ isomorphism: do the cosmos repeats itself every 9 ∆-planes, a theme analyzed in depth in the article on the Unification equation of charges and masses.)

    6 SPECIES,nd ±3 Social networks.∑.      Creation.

The eight isomorphism refers to the creation and diversification and reproduction processes that generates reality.

So it resumes the 2Spatial, 3TEMPORAL & 3 ±∆o main forms of creation, as diversifications of motions through fractal space, cyclical time and the 5th dimension.

The main process analyzed are numbered and roughly divide in 3 main ‘numbers’, 2, 3, which as it goes combine to give 8=2×3:

  • 2 Spatial  Creation: Gender and bidimensional duality : It is defined by the duality, gender processes between S and T systems (Spin in particles, gender in biology).
  • 3: Time Creation: ages and its apce-symmetries: The ternary process of differentiation between parts of the system which generates normally 6 varieties according to the topological order of the Sp≤≥ST≤≥ Tƒ  elements.
  • §:∆±1 Scalar creation, through social growth mostly in 3×3+1=decametric social scales (studied in the 9th isomorphism)

For example, ‘topological linguistics’ (actually it does already have the name) studies the VSO, VOS, OSV, OVS, SOV, SVO varieties of languages.

While in biology among the multiple forms of taxonomical classification, we could make a  physiological taxonomy distinguishing families of animals according to the relative primacy of its ‘informative nervous system’ or ‘higher species’ (birds and mammals), digestive, energetic system (reptiles, bacteria)  and reproductive species (mollusks-> insects and viruses).

  • 4: it is a common number of ‘coding elements’ which systems use to code the 4 main åctions they enact (considering, the simplest acceleration, an external action to the being enacted by the invisible fields it is placed in) :
  • ∆-4: 4 parameters of light (color->Social structure, speed: motion and reproduction, Electric field: information, magnetic field: energy)
  • ∆-3: 4 quantum numbers which code for energy (∆), information/form (l), reproduction (S), and social structure (m)
  • ∆-2: 4 Maxwell Laws, which control matter; 4 Constants of Physical States.
  • ∆-1: 4 nucleotides control genetics.
  • i: 4 drives of existence, feeding, perceiving, loving (reproduction) and social love, control human behavior.

We use the symbol ∑, since it indicates 3 planes of existence (∆-social creation), 2 genders (forward points) and 3 variations, backward points; so it resumes the 2S, 3T & 3 ∆ main forms of creation.

the 6th isomorphism, of variations of species, based in the dualities of space and time, the ternary elements of the Generator equation, the previously defined Universal constants of balance, which vary for each species and the organic social scales in which the system is integrated, with different degrees of organization, from herds to superorganisms. We call it the eight isomorphism as 2×3 =6 resume the dual and ternary fractal principles of creation and its combinatory terms. For example we find often 6 sub-varieties according to the primacy of the 3 elements, S, ST, T of the system as in the 6 varieties of topological linguistics, SVO, SOV, VOS, VSO, OVS, OSV and we find in most systems, the gender duality of females specialized in the reproductive functions, dominated by the body-wave states (relative present systems) and males, dominant either in its unbalanced maximal energetic lineal limbs or informative brains (past or future systems)

And we find the same dualities in physical systems, expressed in the principle of complementarity ST-wave, Tƒ-Particle and the ternary structure of S-fields, ST-wave and T-particles.

Thus we shall study all kind of differentiations of species according to the relative importance of its heads, bodies and limbs, which become potentiated as a strategy of survival. So predator species are dominant in lineal energy, limbs; other species survive by being extremely good at reproduction, such as fungi, and others by being more informative, such as apes. And we will be able, combining dualities and ternary symmetries and social scales, to classify and account for all species both in a single ‘plane of the 5th dimension’ and through its social evolution and growth across the ternary planes of the 5th dimension that conform a given world or family of species, through the growth of its scalar, most important Magnitude. So there are 3 families of masses and particles, and among those 3 families there are either mesons made with two anti-symmetric particles or 3-varieties, and all of them can be easily classified into the octets of quantum physics.


The 7TH isomorphism puts together both the dynamic and static vision of the system, recounting its different actions and motions, into its 3 internal and external social networks, to complete from an objective point of view the world cycle of the system. So we add to the 5 actions perceived from the internal point of view of the being, the 6th action of dissolution and death which is not triggered by the internal will of the being, the o-point but by its external existence within a larger world and its 3 physiological networks. Indeed, in the 5th isomorphism we have observed the being as it perceives itself as a will of ±∆ energy and information emission and absorption, with a positive arrow of future eusocial evolution.

But the system will finally collapse when all its motions are added on and die. And so we study the ternary symmetry between space, time and scales of the 5th dimension in its zero-sum completeness.

The 7th isomorphism thus studies the hierarchical and parallel relationships between the entities of those planes, as the ∆-system realizes its åctions, which determine 6 ‘social classes’. Since the entity predates over the ∆-4,3,2 entities, sustains the ∆-1 cellular scale, associates in parallel with the ∆-planes and is predated by its ∆+1 social plane to which it gives energy and form.

We study next the ‘∆-Constants’ or ratios of exchange and energy and Social numbers of all those scales. They are the quantitative ‘substance’ of ∆ST and so along the Metric equation and its partial analysis, the 2 essential isomorphisms that connect ∆ST and classic science. Each of those space, time dimensions, scales, planes, and åctions between them must be defined by a Constant. So there are 7 type of constants:

  • ∑ and ∏. The Se constants &Tƒ constants that relate Space and energy, ∑e=S, and Time and Information, ∏T=O
  • 3 S-Dimensional Constants related to the ‘extension and energy’ of the Sl, Sh and Sw dimensions.
  • T-Age Constants, related to the duration and inverse frequency rhythms of the 3 ages of time.
  • ST-constants, related to the topological shapes of its 3 bidimensional varieties.
  • Action Constants, related to the ratios of exchange of energy and information of the 5 åctions of the entity.
  • Social Constants. Related to the numerical quantities (normally around a 10 factor), needed to transcend between social scales.
  • ∆-Plane Constants, related to the numerical ratios and Size and Speed ratios between ∆-planes:

We use 5D ‘‘symbols’  and names slightly changed in meaning for those main Constants, dividing them in internal, ∆-n ‘vital constants’ (ab. VC), and external, ∆+n, ‘Universal Constants’ (ab. UC)self-centred in the Active Magnitude (∆C) and its action constants that value all the System (∆-constant, or main metric of the Œ-point), with its 5 sub-constantsof action, ÅC. For example, for the simplest Dual ST system (without differentiated reproductive organs, or external fields), we find.

V. C.: Space quanta: Spe; Space quantifier: ∑; Time Frequency: Tiƒ: Time Synchronicity: ∏;   Energy Density: S/T; Information Density: T/S;  Existential Speed:  SxT.

ÅC.: Active Constants: Å.C.: Active Magnitude;  Æ.C.: Motion constant,  E.C.: Feeding constant; ±ïC: Information constants; Œ.C.: Reproductive Constant.

U.C. Universal Constants: û.C. Universal Constant, and its §10: Social constants normally of a decametric scale. And the similar V.Constants of the larger scale:

S+1,  ∑+1, T+1, ∏+1, ST+1: S+1/T+1; T+1/S+1; S+1 x T+1.

It is then clear that the number of Vital constants of a system is enormous, as the complexity of any fractal has infinite limit. And so we shall consider generally the explanation of the Constants study for each science and species, introducing only a few ∆ST constants in more detail, which vary slightly in reference to those used in science, notably, quantifiers of space & time, its densities and Existential speeds.

8. Ø. Motions integrated in a worldcycle.

o. Perception->1.Generation->2.Evolution->3.LocoMotion->4. Growth->5. reproduction->6. diminution->7. extinction

The motions of the Universe are consequence of its vital actions. Thus we can in this continuous relationship of the isomorphic processes of all systems understand the existence of any being as a sum of positive and negative directions through the different motions of existence, describing those actions no longer as ST-events but in terms of pure translations through the different dimensions of the being. So we can describe existence as a sum of motions, integrated into a world cycle.


We ad to the 6 motions of Aristotle, the motions of the mind, which are negative motions that reduce the informative perception of time flows into the stillness of a mapping of reality. Perception becomes then the first motion as a blind being cannot effect any of the other motions of existence.

  1. GENERation, then is the next step of pure information, as a seed enters a process of
  2. Evolution of form, which ends in the emergence of the being in the ∆+1 scale starting its…
  3. Locomotions, which are translations in space and so far the only motion considered in models of simplex physics.
  4. At this point the being will be able to switch those motions perceiving and moving to fields where it can absorb information and energy and keep growing, till…
  5. it has enough energy and information to reproduce, reaching it maturity in the point of balance of both organs, S=t, when it reverses its function of existence, entering a process of inverse…
  6. Diminution of form and final
  7. Extinction by dissolution into the ∆-1 scale that generated it, completing a worldcycle of existence:
  8. And of course perception

We conclude that…

The function of existence is the central piece of the algebraic studies of the 5D Universe.


In the graphs, from the old 92 book ‘a theory of unification’, we see some graphs describing the function of existence. From the bottom up we see a function of existence plotted into an inverse space-time coordinates graphs, which shows how existence has different rhythms of time, and concludes in a sudden jump from the upper scale of space to the lower cellular scale.

Above we see that graph made explicit for the human being through its existential travel through the 5th dimension between birth and extinction, as it emerges first into an individual, then as a member of society and finally dies away, becoming energy for smaller beings, and perhaps leaving behind some memetic or genetic copy of its mind and body, in the form of his work and offspring.

To exist is to absorb energy and information for your body-head, or particle-wave from an external entropic field, maximising the algebraic function of your both elements, represented by the symbols T=Max. iƒ (head-particle or knot of time cycles or point of maximal information: max. I and time speed in its frequency, max. ƒ), and Spe: S= pe (wave-body calculated sometimes by its entropy, S, or by its momentum, p, or by its energy, e):

It is the study of the conceptual, philosophical meaning of what systems do, increase its energy feeding, Max. E, its information, perceiving, Max. I, its reproduction, combining both in other place of space-time, Max. E x I, which algebraically happens when E= I (5X5> 7 x 3 ):Screen Shot 2016-04-08 at 00.01.30

In the graphs the wave-body, or balanced ExI combination and particle-head  or Max. I system of the complementary organism that exists, To< Exi(s=t), where To represents here the cyclical time function or not of information of the system, tif,  (right graph)and Exi, the body-wave maximised when s=t (left graph).

As the system is selfish the sum of its actions of absorption and emission of energy and information (∆±e,i,exi) tend to make e>i, informative creation dominate over energy release, so the being goes through 3 ages as the integral is deficitary, non equal to zero and adjust the balance with the entropic moment of death, for the larger whole, more objective, more correct system in which it is inscribed and allows its death, to re-establish its balance.

So our existential travels through the 5th dimension finally close the cycle in the point of departure:

Screen Shot 2016-05-19 at 17.23.17

In the graph, the arrow of information and time accelerates as it transforms energy into information through actions that reduce constantly through 3 ages the space of the being and increase its forms, SINCE OF THE 5 ACTIONS OF EXISTENCE, information dominates 3 of them (perception, reproduction and social evolution), while entropic motions only dominate locomotions and energy taking (feeding). So EXISTENCE IS BIASED TOWARDS HIGHER INFORMATION AND AS TIME GOES ON, ‘it bends space into an accelerated vortex of gravitation’ Einstein – a physical time-clock.

In the graph we observe in space, time and space-time the whirlwind of space-time dust as it attempts to become a super organism, though sometimes the part is playing a simpler motion of existence. Yet we shall see that when we integrate the existential function for a domain of simultaneous space and a finitesimal frequency of time actions, the function converges into a super organism.


9.§10.   9th isomorphism: social planes.

We then study the 3×3 linguistic scales organize population in decametric numbers, where 10=3×3+1, makes the ‘1’ coordinate the tetraktys or perfect social number of 10:

  • The temporal, ‘genetic’ language and its 3 scales (family, ‘clan’ and tribe).
  • the geographic, spatial language and its 3 scales (town, city and nation)
  • And the organic, ∆-ST complex language that allows the creation of full-fledged organisms (culture, organ, network).

10th isomorphism: §10≈∆+1. The rising from Plane of existence to plane of existence, through a /scale of 10 social groups, such us:

10¹¹ individuals create an ∆+1 super organism. It is the final step of the game of existence played by all entities through its world cycles of space-time, as all systems are moved by their desire to maximize their existence, their vital space and cyclical time, formal motions.

Thus this max. Se x Tƒ, this mandate of existence means species try to climb the stair between planes.

And so we can consider the 0 and 10 isomorphism which describes the minimal point of the being, ∆-1 or ∆ being, and the ∆+1 plane (spatial view), which can be also considered warped by an ∆+1 perceptive entity, as the two limiting realities of the world cycle of any ∆-being, described with the other isomorphisms in all its details.

So this is the tale, we will explain in this blog for all species of the Universe, all ExiSt±iences

Such invariance creates a stable ‘metric geometry’ that defines a new dimension of space-time, which solves all kind of fundamental questions about reality, from the unification of charges and masses (2 vortices of space-time of two different membranes, the quantum nanoscopic and galactic macroscopic ones, in which paradoxically the faster clocks of charges make its electromagnetic force more attractive), studied in this post, to the explanation of the life-death world cycle (no longer a world line as in 4D physics, since the new dimension of depth, ‘curves’ existence into a cycle, which happens as we travel through 3 0±1 planes of space-time, from the seminal ∆-1 faster plane of existence, to the human individual plane, as members of the slower ∆+1 rhythms of nations and civilizations our super organisms, to the conundrum of genetics.

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

The ‘fractal, scalar’ structure of space-time of which we are all parts that occupy a vital space and last a finite time, means also that all systems are ‘equal in value’, in a Universe of absolute relativity.

Indeed, if we call the product of the Spatial energy and temporal information of a system, its existential function, EXI=ST, which determines its survival force, all systems exist a similar amount of subjective time, because smaller beings think faster. So an ant-queen – an insect that lives 7 years but process information 10 times faster (reason why you don’t catch a fly) – lives actually 70 years.

Further on Absolute relativity allows species of different sizes to interact without extinguishing each other. And the result is that all ‘vital space-time beings’  are organized in 0±1 planes of existence.

So humans are made of cells and form part of a global society, matter is made of atoms, and forms part of planets and stars that form part of galaxies and so on. How to order all those scales in a meaningful way?

We can do so by precisely by putting them together into the  ‘fifth dimension’ of space-time: the dimension of relative size in Space, Se, and relative speed of time clocks, Tƒ, which evolve in opposite directions, when we become ‘bigger’ or ‘smaller’.

And this unity of all beings, made of scalar space-time and related by the metric of the 5th dimension i what makes us all absolute relative because we all display the same i=SxT existential force, we live the same subjective time, as smaller faster beings think much more: the 7 years of an ant are in a mind that has 10 times faster thoughts, 70 years of experienced life.

We must thus study the ‘isomorphisms’ of all beings across scales as the essence of reality and only once this higher collective knowledge is realized, study the individual isomorphisms of beings.

The fractal principle applied to isomorphisms.

Now that we described all of them, we can reclassify those isomorphisms and the reasons we have ‘organised’ knowledge through them by observing that the 3 first isomorphisms are spatial, structural, the 3 second ones, dynamic, temporal and the final 3 ones, ∆-scalar; whereas the 0 and 10 isomorphisms describe the limiting points of the being.

Thus if the 3 first isomorphisms analyse the being mostly on its general fixed spatial structure, the 3 second isomorphisms are mostly related to time motions and actions, the final 3 isomorphisms are related to the creative social processes. The emphasis thus in each of the 3 x 3 isomorphisms is in one of the 3 elements of reality, whereas the 0-10 isomorphism describes the fractal ∆-1 point and the larger, ∆+1 plane:

  • Spatial isomorphisms (1, 2, 3)
  • Temporal isomorphisms (4, 5, 6)
  • Scalar isomorphisms (7, 8, 9)
  • 0, 10 isomorphisms: description of the minimal ∆-1 and maximal ∆+1 points.

Let us consider this more orderly way to study reality with an analysis of the main isomorphisms in more detail.


Descartes. The 3 elements of all Systems.

Descartes, contemporary of Galileo, and the true founder of modern science with his ‘Method of reasoning’ and the Frame of Reference of the mathematical mind, said that all what exists was made of:

– Open space, which he called ‘res extensa’.

– Closed, cyclical times, which he called ‘vortices’.

And then he added a 3rd element, the final stroke of a genius unparalleled since the times of Aristotle; after realizing that the only proof he had of the existence of those vortices and res extensa was, the fact that he perceived them: Cogito Ergo Sum. ‘I think therefore I am’.

– The mind or 0-point, the relative frame of reference that mapped the ∞ cycles of time of the Universe, reducing them to a ‘World’, to fit them into the infinitesimal volume of the brain.

 The equation of the Linguistic Mind. The difference between worlds and Universe.

Descartes though was not a simpleton. He was fully aware that what he had in the mind was not the whole Universe, so he expressly stated the fact, differentiating the ‘world’ of a human mind, from the infinite other worlds that exist outside, establishing in his little known book, the ‘world’, this difference, affirming that his ‘Cartesian Frame of reference’, was only that of the human mind:


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: Ø=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 3rd 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.

The point of view thus becomes the essential element of the mathematical mind-world, which will measure geometrically from its perspective, in any of the 3 ternary frames of reference corresponding to the 3 geometries of reality, the cyclical polar frame, the hyperbolic,, and the Toroid planes, the rest of reality.

We thus briefly will introduce the 3 elements of the Universe, its time cycles and motions, its topological ternary spaces, its 5th dimension and then get into the ‘core’ of this post,the development of i-logic geometry and non-se algebra. And the translation of 2000 years of maths into their laws.

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’.

Now it is important to notice the survival consequences of confusing the mind of man with the entire Universe, because it completely shuts off and increases enormously the ego-paradox:

“Every infinitesimal point of view confuses his world view with the entire Universe, considering himself the centre of the whole Universe, when it is merely an infinitesimal fractal mind, watching an infinitesimal quantity of the information of reality’.

This was therefore the immediate effect of the error of Newton and its absolute space-time graph, which has been carried on through Relativity, and its absolute belief that c-speed is the limit of all speeds, space-time a single continuum and reached its paroxysm in modern mathematical physics, where Mr. hawking invented imaginary black holes travelling to the past, string theorists invent 10 up to 500 Universes and so on.

Of all those imaginary creations of the ego-mind of man, the most dangerous needless to say is to consider that the creation of a baby black hole, the most powerful species of the universe here on Earth will poise no risk for mankind because it will ‘obey the imaginary mind’ of Stephen… King? because the outcome will be indeed a terror movie.

Leibniz, the first philosopher of modern science, which considered points as the ‘fundamental particle’ of the Universe departed from the hypothesis that all what exists can be reduced to such points of view, he called Monads. Yet those monads could either share energy and information between themselves as they do on reality or become static, perfect non-communicative points. This easier choice – non-communicative points of view – was Mr. Leibniz’s error.

Since the points of the universe are in perpetual communication as parts of networks of self-similar points, sharing flows of energy and information – waves of forces. The essence of any point of any relative space-time is precisely to be in constant communication with the Universe as a ‘knot’ of Time Arrows, which shares flows of energy and information with other points, creating the network-spaces of which reality is made.

Points that communicate energy and information, that feed and gauge are real. What is the proper name for all those logic parts that exist, for all those points of space that perceive, gauge information, and act-react to it under a simple program of ‘survival’: grow and reproduce, exist, repeat yourself? We call them a Non-Euclidean point of view. And we affirm the Universe is made of such type of points of view.

Thus ‘mathematical, Non-Euclidean points of view’, whose ‘motions’ have a ‘will’ or ‘purpose’ – gauging information, feeding on energy and reproducing themselves’ – become the logic and geometric units that shape the networks of energy and information of reality, thanks to their capacity to communicate and share energy and form. Such type of points are more akin to the view of Eastern philosophers that consider the Universe made of ‘atmans’, which are knots of communication that anchor a certain entity to the world that surrounds them, which is only a part of the total Universe.

Since those mathematical points of view exist in many different fractal space-times or ‘scales of existence’ in which they gauge information with different languages and perceive different ‘worlds’ within their minds.

If you are a particle – an electron – you will see only light (energy) and darkness, and you will move to the light that feeds you, as we observe in electrons. If you are a human eye you will see all type of colors but red will be the color of energy that ‘feeds and attracts your eye (so you see bloody movies and like red meat). So there are an infinite number of types of organic points of view with different mental worlds, which gather into social networks that exist in different ‘planes of existence’ or ‘scale of reality’. Yet in all those systems the same game of ‘gauging’, ‘feeding’, ‘reproducing’ and evolving socially takes place.

We exist in a Universe, whose fundamental particle is not a material form, as simple science thinks, but points of time space, which mirror in their inner, i-logic, fractal topologies the information of their world, acting-reacting to the Universe. Thus only by mixing perception and motion, mathematics and organicism, we can define those points of existence, as the fundamental particles of reality and:

‘The Universe has a body and a soul called logos.’ Plato

So we describe a Universe with a geometrical how, the laws of Non-Euclidean points of views, the cycles they trace, the mathematical laws that describe those cycles; and a bio-logical, temporal why: the will to move, trying to fulfill the 6 arrows of time. It is the game that all P.O.Vs of all planes of existences, from atoms to human beings perform.

Those logic and mathematical laws of points of view are the metaphysical laws of the Universe – the only essential events/forms that repeat unchanged in all forms. And so, a proper description of the Universe should start with the laws of i-logic geometry; then apply them to the 2 simplest motions of reality, lineal forces and cyclical masses/charges; and then, once those ‘immortal laws’ are defined for any system of energy and information, science should use them to define the specific events of each scale of reality and its species, as we all play the same Game of Exi=stence.

Recap. A Universe made of motions in time, extending through multiple scales of relative space, requires evolving the human languages of space (Euclidean geometry) and time (Aristotelian logic), used to describe the simpler space-time continuum of classic science. This task started by the pioneers of modern science (Riemann, Darwin, Planck and Einstein) must be completed before we can study the properties of physical and biological entities with the new tools of Non-Euclidean mathematics, which describe a world of multiple, relative space-time networks made of points as Complementary entities with energetic and informative system or ‘Points of view’ and the new tools of Non-Aristotelian logic, which describe the creation of the future by multiple causes – all the points of view or agents that create a certain network space.

 The equation of the mind.

The 5th i-logic postulate defines the unit of reality as a fractal point that observed in detail is in itself a World, which contains within it all the mathematical topologies of the 4D cosmos. This can be deduced in a logic manner, through the equation of a mind/p.o.v., which can map out as a mirror the whole Universe we perceive in its infinitesimal mirror.

In the fractal Universe all systems of i-logic information gauge reality, transforming a force they absorb into a logic language, which mirrors the Universe. It is obvious that the essential particles, quarks, photons and electrons cannot have a wide mapping of reality unless the fractal scales of size are infinite (and then an atom might be the upper bound of a new scale – a nano-galaxy).

Yet even if reality has upper and lower limits of size and point-like particles are not fractal world but the limit of universal form, those simple particles still gauge information and store some type of logic, mathematical computer-like structure that allows them to behave as they do, organically. Since particles orientate their position in a herd of self-similar particles; they move towards light, its energy, when the electromagnetic field is in its neighborhood and they decouple=reproduce into new particles when they absorb more energy.

All those properties are the minimal properties we ascribe to a fractal ‘point of view’ or ‘mind’ in a broad sense – a structure that gauges energy and information, creating smaller fractal mirrors of reality. Such structure has within itself a minimal amount of geometric paths and logic processes that allow it to form the forces it uses as energy and information source. We thus call such structure a mind. Since any point of the Universe becomes a focus of infinite parallel forces that flux into the point, creating a static image of reality in Complexity, we define a Mind, as an infinitesimal mirror-world that reflects the infinite Universe:

0 (Mind-cell) × ∞ (Universe) = Linguistic Wor(l)d

The equation of the mind, defined by the 1st and 5th postulates of illogic geometry, sets limits of truth in linguistic science, comparing the worlds created by any mind and the Universe at large, much bigger than any informative, mental, linguistic image we have of it.

It is however the why that explains why entropy doesn’t dominate the Universe; since now the increase of order and information in the Universe is mainly caused by those ‘perceptive points’ that gauge information. Those points might or might not be conscious in a vegetative or reflexive way, depending on its complexity; but they are ‘apperceptive’ – an expression coined by Leibniz to express perception without consciousness. And so they have a will to order and perceive more information, not only a will to feed and increase their energy.



The function of existence in space-time: Unification of external and internal time-space.

Absolute time made measure of the motions of space-time beings in relationship to such external absolute space-time easier. But it killed the essence of beings, which is to be made of inner time cycles and occupy a vital space with energy; which combine together into a series of repetitive åctions of time-space. So we could write the inner essence of beings as:

Se x Tƒ=ST:              

O-Tƒ (cyclical, internal, informative time clocks) x |-Se (vital, energetic space with lineal speed motions) = ST (Repetitive Space-Time åctions)

As opposed to an external description of those motions as:

ST:         S/T=V:                 External Space Motion/Lineal Time Duration = V: External velocity.

Now both equations are similar but they reveal very different things.

We could say that the external description wins in precision of measure from an external human observer, but looses any internal understanding on the time cycles and vital spaces of beings, their purpose and ‘whys of existence’.

Mathematically, if we measure the cyclical, internal clocks and steps of a being by its frequency, then we realize that:

Tƒ=1/T. That is, the sum of frequency steps of a being equals its time duration.

And   V: ST. That is the sum of the repetitive Steps of a being give us the speed of the being.

Thus since frequency is the inverse of duration, Tƒ=1/T and speed is the repetition of the steps or wavelengths of a being, both fundamental equations of inner and outer space-time are similar:

Se x Tƒ = ST (ST) ->     Se x 1/T = ∑Steps->       S/T = V

But they reveal and study very different elements of the being. In the inner description we are far more concerned with the internal clock cycles of the being, which determine in the frequency and form of those cycles its information; which in turn determine the external space-time åctions the being does, moving (which is what external S/T=V measures), but also feeding, informing, reproducing and so on…

Indeed, if we consider the formula of internal time-space and its åctions no longer with a ‘calculus frame of mind’ but aiming at understanding what it reveals of the being, we realize we are ultimately studying with it, a much broader, philosophical, complex reality.

We therefore define a new function that gathers together external and internal space-time, the function of existence, Œ, whose study will allow us to unify all systems of the Universe, as made internally of ‘cyclical particles/heads of temporal information and ‘body-waves’ of spatial energy, which exist in an external Universe of absolute space-time, in which they inter-act through a series of åctions that exchange energy and information with the outer Universe (æ,e,ï,œ,û), with whom they try to keep a harmonic balance.

Since the internal informative clocks and moving spatial elements of the being, which combine to create its åctions, are the 3 elements that structure any system of reality as a complementary system made of field/limbs of vital space, and heads/particles of informative time clocks, which perform together through an intermediate region (body/wave) its space-time åctions of existence:

Œ:     Se (Vital Space) x Tƒ (Internal time clocks) = ST (External, repetitive space-time åctions).

In fact, the study of those 3 elements of the being, its moving space (fields/limbs), its internal time clocks (head/particles), and the body/wave åctions they perform is the key to the whys of the Universe and all its parts.

On that larger view, what we call ‘external space/time speed’, is merely the study of one of the possible varieties of that equation, åctions of external motion, which we write as Aa or ∆a≈ ∂a (åctions which change the motion or acceleration of a being.)

But the study of that ‘wider’ structural equation, |-Sp X Tƒ = ST and its infinite varieties and fundamental combinations, or space-time åctions, reveals many more things about what the Universe is. So many things that it truly encodes all the elements of reality.

We talk of a T.œ a theory of everything constructed departing from the fundamental properties of ‘Fractal Space-time’, that is:

  • The cyclical nature of time, which breaks…
  • Space into inner and outer parts, internal vital spaces and outer, larger worlds of space-time.
  • And the ‘Fractal nature of the Universe’, an assembly of planes of space-time of different size filled with species with different clocks of time, from microscopic forces to galactic systems through the human scales of size, which is studied by the 5th dimension and its metric.




In the next graph we observe the fundamental elements, space-past-entropy and future-time-information cycles that combine into space-time beings. By the study of the symmetries in space time of a being, we mean to depart from the common properties of all space-time organisms, and the common narrative of its life and death cycle of existence, to analyse the being, translating to the more unifying principles of General Systems, and 5D space-time, the properties of the being, thus reaching  a sort of communion with the whole Universe, observing the being as a manifestation of those ultimate symmetries:


In the graph, we observe some of those symmetries which ultimately reduce to the study of different parts and combinations of groups of generator equations:

Spe (past limbs/field of entropy) < S≈T (iterative body-wave) > Tƒ (head-particle of future)

So complementary fields-limbs joined to heads-particles connected through an iterative body-wave travel as a system or species through an external world in events which develop the world cycle of the super organism.


On top, all 3D complementary systems are made by an assembly of the 3 only topological varieties of a 3 dimensional Universe, which correspond to the 3 organs and functions of all systems, according to the ‘vital’, moving nature of fractal, diffeomorphic dimensions:

–  Toroid, limbs that process energy.

–  Spherical, informative zero points and its external membranes that gauge information, and reduce it into a mapping of reality or mind in the zero point. Since the sphere is both the topology that stores more information and the only one that can shrink without teat to an infinitesimal mind-point. Hence we deduce the equation of the mind:

O-point brain x ∞ Universe = constant mind.

And hyperbolic bodies that combine and reproduce both, according to the mathematical laws of Non-Euclidean Geometry of those 3 forms=functions analyzed in the center. On the bottom we see samples of how the 3 forms assembly in different systems of the Universe.

We defined bidimensional forms of energy and information, the line-plane/open string (math-physical jargon) and the cycle-closed string.

They can assembly 2-dimensional systems (quarks). Yet we live in a 3-dimensional Universe. Why? Since dimensional form is function, and systems are dynamic exchanges of energy and information, we need a 3rd dimension that combines and reproduce those complementary systems of energy and information.

The result is the Isomorphism of topological forms that defines a self-similar structure in all space-time systems of 3 dimensions, combining the inverse properties of lineal energy ‘limbs’ and, cyclical, informative Heads to a 3rd intermediate body geometry that allows a dynamic exchange between both poles: Sp< = >Tƒ.

There are only 3 topological forms in 2D space – the space-time membrane of any single ∆-scale:

Toroid, energetic topologies, informative spheres/planes and reproductive, hyperbolic-disks, used by the 2 other topologies to transfer energy and information.

Thus in the holographic Universe 4D (3D with motions in the external ecosystem) are constructed by the intersection of 2 ‘holographic’ 2 D membranes, or by the accumulation in ‘sheets’ of 2-dimensional topologies.

Exchange of dimensions.

Now what those systems do is to exchange dimensions of spatial energy, temporal information, through bidimensional åctions, units of Space-time, that integrate as membranes into larger systems.

And so we must mix space dimensions, Sl,w,h and Time dimensions, Te,a,o, into Space-time åctions, ∂le, ∂la, ∂w,I, ∂wo, ∂hu, to see the development of reality.

The bidimensionality of those space-time åctions is thus the next element to understand existence.

in the construction of fractal systems of the Universe.

We can see also how both cyclical particles/heads and limbs/fields of ‘—motions’-motion-space come together to create some basic ‘constant’ systems of reality, a light wave whose c-speed is (Maxwell’s equations) constant and the product of an electric and magnetic (information/energy) parameter. So we can write μ (e) x ε (o) ≈ ST.

The flexibility of the 3 elements involved in the creation of constant systems is thus important to fully grasp the ‘Game of creation’ of the Universe. Yet the game is not arbitrary, as entropic, expansive, ‘toroid’ limbs/fields, speed, space is |-Motion or ‘work’ that moves lineally a system, while cycles of time, clocks, forms, information is cyclical motion, or ‘information’ that reproduces cyclical forms.

And we will return to those concepts again, many times, as it is fundamental to fully grasp those basic ‘dualities’ of the 5th dimension and the way we perceive the Universe.

Then 5D follows the same procedure, accumulating Universal sheets across several U±∆ scales, perceived together in the case of the Universal messing of ∆-1 quantum and ∆+1 gravitational sheets, as a curved ‘i-logic’ Geometry (Einstein’s four dimensions).

All structures of the Universe are composed of only those 3 topologies:

  • The energetic, toroid limbs: Max. Sp, ∑|
  • Ø: Max. Re: The hyperbolic body with its regular cycles that transfer energy and information between…
  • The external surface of the sphere and its center; which is the informative, cyclical region or zero point, the ‘pixel eyes’ that perceive in stillness a map of the Universe brought about by the flows of energy and information of the Torus.



The 3 topological forms=function of systems perceived in a single space-time continuum.

We classify the study of the being in space as an organism of 3 topological parts  (lineal limbs/fields of entropy x Tiƒ-heads particles of information ≈ iterative body-waves), which are networks whose entropic, informative and iterative functions in time, establish the being as a living organism performing a world cycle of:

PAST: Young (limb/field-energy dominant) < Iterative present body-wave>Future Tiƒ

What we describe with those isomorphic laws/symmetries between time ages and space organs, is then an organism which in space has 3 organs, and in time 3 ages dominated by each organ, who exists with a pattern of growing information towards the 3rd age of information and final explosive death, which returns it to its erased entropic past:

Death equation:    (3rd age: Max tiƒ)<<Spe: Corpse: dissolution of form

Interåctions between spherical O-zero-points (minds) and spherical membranes (energetic skin, limbs) through hyperbolic cycles structure the generic Sp<∑3i>Tƒ ‘physiological / inner flows’ of organisms or physical systems.

In topology a form is the same, if it is deformed but not torn. We use the Non-E concept of ‘self-similarity’. Then the simplest, initial ternary system is a ‘full’ sphere – an egg- divided in 3 regions, sketched in the graph:

-O-membrane that closes an inner space. It hides the system and transfers energy & form to/from the outside.

-The inner Sp X Tƒ-hyperbolic space that topology calls the ‘ball’. It does not include either the membrane or the…

– O-zero point. Toroid center processing energy &information transferred by the hyperbolic from the membrane.

  • All together move in toroid, open and closed steps by its limbs, cilia, energy fields, expansive energy flows, expelled from them…

Thus, the 3 together form the ternary structure of most systems, with an external barrier communicating with a torus cyclical flows of energy and information towards an informative center or north south axis.

Those 3 forms build all systems of reality.

Since they enact the functions and morphologies of the main sub-systems of organisms – ∆-heads+ Sp-limbs + Sp X Tƒ-bodies, written in existential algebra as: Sp<st>Tƒ or ∑Sp< =>∏T, where < = > represents the hyperbolic body that exchanges energy & information between limbs and heads, fields & particles.

Energy, lineal motion is not an action ‘per se’. It needs in/form/ation, which directs energy to create an action. All yin=information has a drop of yang=energy said Taoists who knew the game.

Thus all systems require a zero point of information to see the energy/information absorbed by the membrane and delivered by the hyperbolic-body. In all complementary systems the information center gauges reality (particles, eyes & brains) and the lineal fields, forces or limbs move them.

While the 3rd system combines both, energy and form, reproducing the parts of the system. It is the Sp X Tƒ elliptic, conic or hyperbolic body – figures that are combinations of lines and cycles. Since form=function 3 Geometric Forms in space determine 3 functions in time creating 3D ‘complementary systems’:

 – Min. Tƒ: Head/Particle/Informative caste: They display the toroid, broken topology of information, observed in most ‘brains’ with an excess of warping and form (cortex, black holes, Chromosomes, Chip design).

– Max. Sp: Moving Limbs/Forces/Energy class: They show a convex toroidal topology (tiled with smaller planes proper of any external membrane, guts or cilia – in which membranes occupy most of the surface.

S=T: Reproductive Body/Vacuum/Working class: The topology of the reproductive system is a combination of the other 2, a hyperbolic or plane, which can be emitted by both, more complex systems in waves and cycles that communicate energy and form between the two dominant poles of the system – membrane and zero-brain.

Man is also an interconnected complex system with:

  • O: the eye and brain as his zero point.
  • Ø: the cellular ovoid body with a tubular aperture, the digestive system, which gives its hyperbolic form, that reproduces most substances. The hyperbolic-wave-ovoid-conic form combines both and can be emitted by both, as the torus is just a quanta of a sphere (through the intermediate plane state of the graph, coiled first into a cylinder then curved and pegged into the torus) or the zero point – detaching one of its donuts. Hence its < => external, communicative qualities, as a quanta, |∆-1 or O∆-1 of Ei and Tƒ or reproductive, internal, Sp X Tƒ qualities as an organ.
  • ∑|: And its external LINEAL limbs, with toroid motions (open and closed steps) and its internal gut membranes that line the hyperbolic aperture that exchange of energy and information with the external universe through 5 apertures, called senses…

Zero points and membranes. The minds of the Universe.

The most fascinating of all those 3 ‘endomorphic, exomorphic and mesomorphic’ tissues (evolved correspondingly from those 3 initial zones of the gastrula) is the interaction between the ‘big sensorial sphere’, of the skin and the inner zero-point of the brain-mind.

The membrane is a closed membrane (hence in topology a sphere) network of skin and sensorial cells, which encloses and isolates the inner organism from the outside world.

It allows the transfer of energy and information with the external world through the smallish holes of the network; developing specific functional purpose: those bigger are single, for energy and are called mouths,

Those for information are dual, according to information properties (–, yin symbol 🙂 and are called senses.

They will be also positive or negative in its directional motion in order to absorb or expel wasted energy and information.

All systems will have at least those 2 types of O-Systems: A larger stronger, sensorial, spatially extended membrane that circles the ‘vital space or body territory’ of the entity.

And a zero point or brain, relative ‘order point’ or self of the system

The external membrane often has, accordingly 2 layers:

Oe: The first layer is the most extended, loosely guarded ‘border’ of the territorial zone in which the informative center moves. Hence its direct application to study ecology and territories. It is the Oort membrane in the sun system, the dark matter halo of strangelets in the galaxy, the electron nebulae in the atom.

Oo: The central zero point. It is the quark ball in the atom, the sun in the solar system, the black hole in the galaxy, the brain in man, the territorial beast and its then in ecology.

How energy and information passes through the first membrane? Easy. It is defined by the 5th postulate of i-logic geometry as a point with parts, and volume through which infinite parallels of energy and information can cross.

In the organic Universe, spatial structures are always ‘functional’ and made of loose networks with motion, which therefore have, as any network does, dark spaces in the holes between them.

– The still center often with a toroid north-south tubular axis, that gives it access to the ‘moving limbs’, is zero point.

It is the point that processes information and hence also the point of consciousness of any system, of any world, of any topology of 4 dimensions, of anything that exists, of anything that is. To create a mental image, the pixels of the zero point are able to form 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. According to 5D metric, the informative zero point is far smaller than the membrane, but its time cycles and processes are much faster.

How energy absorbed by the membrane’s senses become pixels of information in the zero point? Form and function together explain it: A key property of spherical membranes that matches form and function is the fractal similarity of all its cellular units, which are exchangeable and similar to the whole (Poincare conjecture in mathematics, recently proved that the sphere is the only topology that can shrink continuously without limit and without tear; and Bose-Einstein statistics in physics).

Since spheres are invariant to rotation, its curvature is constant and shrink with no tear into a point. Thus the sensorial cells of energy of the membrane shrink into pixels of the zero-point, which becomes a still map of the external Universe. Look around yourself and you will not see any zero point. All ‘brains’ are internal, small, protected, isolated, yet connected, communicated by the sense of the membrane with the external Universe, forming its image within ‘a mind.’

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. Since the zero point is the will of the system.

The membrane is the sensorial whole. And the limbs of the system attached to it, the moving toroid function. The zero point is the brain and consciousness and the torus the physiological systems or flows of energy and information between both.

Causality determines the flow of growth: the external membrane gives birth to the zero point – it is the father element.  Fact this which brings the theme of evolutionary development in time of a ternary structure in space.


The graph explains the natural tendency of men to be self-centered and consider the world and the Universe around its ego. This is in fact natural to the way the Universe constructs points of view of measure, as still centers of perception, in which the I is bigger than Andromeda Galaxy. But science must account for those distortions of perception. Religions and tribes, nations and castes are NOT scientific points of view. But they do enter the mind of people who do science. And it is important to remember it, because the 5th dimension brings a much bigger jump into objectivity and lack of ego to our vision of the Universe.

Indeed, if information can only be obtained from a fixed point of view, it follows the Universe is made of egos. Or as Aristotle put it, God is the unmovable ‘ego’ that moves all the energy around himself and there are infinite Gods, particles that gauge information, heads that see, minds that smell… This must therefore be included in the next paradigm of science to build an even more objective, less anthropomorphic reality.

Now in 5D,  we have even a larger point of view. As we affirm there are infinite clocks of time, and infinite broken spaces and we adopt the point of view of all of them. SINCE THERE ARE ∞ MINDS, gauging information.

This is illustrated in the graph. In the right side we see our Universe, which Descartes affirmed correctly in his book ‘the world’, it was truly the ‘mind of man’ and Kant realized it was a light-mind.

Physicists however, limited in their logic and philosophical reasoning, never cared that much for the ultimate meaning of what they measure. That is why philosophers called their theories ‘naive realism’ and Hawking affirms that philosophers of science criticize him because they don’t know mathematics (-;

It is not that the case, but rather the fact that a mere mathematical description of spatial measures, is NOT enough to explain the Universe. And the graph shows why. What physics has achieved is a rather perfect description of distances and motions from the perspective of light. But the minds that ‘gauge’ and order reality must be accounted for, through the study of its ‘specific metric equation:

O-mind x ∞ Universe = mapping.

This has been done increasing human accuracy with metal-eyes, telescopes and microscopes, LHC-like accelerators and electronic devices. But it still is only a light-mind. In reality in the Universe there can be infinite different minds and sciences of each mind. A dog’s mind will map the universe with smells – big atoms as pixels. It will be simpler than the pixels of instruments looking at light but still a valid mind.

So there are infinite mappings of the Universe from infinite points of view and multiple possible pixels.

But we are still humans and so when we try to do science we are limited to our senses and instruments. That is why we are not trying to study a ‘5th dimension’ based in minds of smells but one which goes merely further in our visual understanding of reality, albeit now considering also ‘the fringes’ of our universe (the strong force and gravitational force worlds of the inner atom and the outer intergalactic space) and specially considering the infinite clocks of time of our Universe.

But we still need a fixed point of view, some kind of ‘informative truth’ that doesn’t change even if we change the speed of time clocks and the size and scale of the space we observe.

What is then the still point of view of the 5th dimension which ads on all possible space scales of the Universe and all possible time clocks and speeds?

Something must be ‘still’ still to make ‘information’ focused.

The assemblies of 3 topologic varieties creates the parts of reality.

Since function=form topology shows physical and vital åctions in geometric terms whose Isomorphism becomes the Invariance of topological forms in a 3D real space.

This Ternary, topological structure produces ∞ self-similar forms in which a central zero point absorbs energy transformed into still perception, a hyperbolic body reproduces Sp X Tƒ cycles and forms and limbs attached to the external membranes move the whole system, in search of Sp & Tƒ to complete its 5 åctions of existence…

The specific combinations of energy or information of each species – defined by its ‘vital’ or physical, Universal Constants (energy/information ratios) – might vary, but the space-time structures and cycles of all those social organisms will be self-similar.

Inner geometries are static and when they are dynamized by physical motions, become one of the ternary topological forms that fluctuate and adapt, deforming their external membrane, sometimes tearing it to transform into another of the 3 functions – as they feed, information and iterate themselves, Tƒ<∑∆-1>Tƒ, or get older, Sp>Tƒ, creating complex warped, fractal, branched internal physiological networks that act as fixed paths of energy and information, diversifying its organs – an entire new form of describing morphological evolution, palingenesis and physical flows is born with the sequential equations of space-time åctions that show form, function and dimension acting together in their creation and destruction of topological flows.

Yet at the end of the road, the same 3 functional topologies, albeit deformed and difficult to recognize, compared to the original being, will be kept as the functions they perform, ∆Sp and Sp X Tƒ, feeding, information and reproduction define the function of existence of the being, which it deploys across its entire life-death cycle, as an expression of its inner physiological networks and external åctions-motions


The metric of the 5th dimension: Sp x Tf= st±4

We call each of those complementary systems, a ‘Non-Euclidean, Fractal point’, which is a ‘vital point of energy and information’, the fundamental particle of the Fractal Universe made of relational species of vital space and cyclical time.

2 are the main properties of those complementary ‘fractal points of energy and information’. Its scalar organization as systems made of smaller systems, and part of bigger ones. So we establish a ‘scale’ of relative size and speed of information, ST (space-time planes, which is the scale in spatial sizes, or world-planes, which is the scale in quantity of information/speed of time cycles)

Its first property foreseen by Leibniz when he said that each ‘point is a world in itself’, is to have volume, which we perceive as in a fractal, when we come closer to them and enlarge its size. So all particle-points, star-points or cellular-points show to be closed systems with inner volume enclosed by an external membrane. This concept that points have volume, was the beginning of a mathematical revolution, (the 5th postulate of Non-Euclidean geometry), which gave birth to relativity. A model of relational space-time takes that revolution further, analyzing in depth, what is the volume of a non-Euclidean fractal point, which are its inner parts, and how the fact points do have inner parts modify the other postulates of geometry and evolve mathematics from its present abstraction into a closer, intuitionalist analysis of reality.

Unlike Euclidean points, fractal points have volume, they have inner parts, those body/heads, wave/particles; and so they are crossed by multiple lines=flows of energy and information, which communicate them with other fractal points, creating ‘networks’ of points, planes of space-time that organize themselves into larger wholes, organisms.

So we exist in a Universe in which ‘numbers’ are social groups of ‘fractal points’, which are made of vital information encoded in time clocks (as your head is), which reproduce their formal cycles in the entropic motions of space, creating complex organic systems, across several planes of relative size (in your case from the atom through the cell and the individual into the social organisms of which you are a part).

Thus there is also a 4th fundamental innovation in a model of fractal relational space-times, besides the topological dimensions of space, which define the forms of our organs and systems; the ages of those time cycles we live through, which determine the causal organization of events in time; and the ‘mathematical structure’ of those systems of energy and information (Fractal points) – the multiplicity of scales of size and clocks of time of the Universe, which we must organize mathematically through all those relative scales, by defining a ‘new dimension of scalar space-time’, the 5th dimension:


In the graph, the formalism of the 5th Dimension describes a Universe made of multiple isomorphic Planes of Spatial, lineal entropic motions, Se, (limbs and fields of biological, physical systems that translate systems across space) and temporal, cyclical, motions, Time clocks, Tƒ, (heads and particles of cyclical shapes that gauge information in the stillness of a mapping mind) which combine, Se x Tƒ, to create ‘stable’ systems, through an intermediate region, body or wave, ST, that reproduces the system.

In the graph we see 3 of such complementary ternary Se x Tƒ = ST, repetitive systems, where the entropic motions of its limbs/fields, Se, and its particle/heads of information, Tƒ, combine to create a relative infinite number of repetitive cycles and events in bidimensional space-time:

The galaxy with a gravitational black hole swarm in its center, surrounded of a body of stars that reproduce matter, feeding on a larger field of atomic gas and dark energy that moves the whole system. On the right side we see a similar topology on a cell, which has in its center a series of DNA informative molecules, the equivalent to the black holes of the galaxy, surrounded by a cell filled with mitochondria, the equivalent to the stars, that create the energy of the cell and ribosomes that reproduce the RNAs and DNAs of that center, as stars create the energy of the galaxy and end up becoming=reproducing black holes.

Those 2 systems however differ among other things in the size, which is maximal in the galaxy, >>Se and the speed of its reproductive cycles with is maximal in the cell, >>Tƒ, and this fact: that all systems have faster cycles when they are smaller, and vice versa, but the product of both, its time speed and spatial size tends to be roughly equal for entire ‘families’ of systems: Max. Se x Min. Tƒ =ST, is the fundamental equation of the 5th dimension, which manifests in infinite symmetries, complementary systems, and relationships. In the middle we see the point of reference of all this knowledge, the human being, which is also made of a spherical head that gauges information, a body that reproduces its substances and lineal limbs of entropic motion that displace him across space.

And its rhythms and size are between those of the galaxy and the molecules, the cosmic, gravitational plane and the quantum plane of its physical processes.

What is then the fifth dimension of space-time? The order of all the time cycles of the Universe.

The answer is ‘All’, all the clocks of time of the Universe and all its vital spaces ordered according to a simple rule: the smaller a system is, the faster its time cycles run, not only because they are ‘smaller in size’, hence a moving point around the cycle closes the cycle faster, but because actually, smaller ‘beings’ accelerate paradoxically its speed, according to a simple law, the vortex law: Vo x Ro = K, whereas Vo is the speed of the cycle, Ro its radius and K a constant.

So for K to remain constant when the Radius diminishes the speed of the cycle or vortex increases, from hurricanes, to masses, to charges, to black holes, to orbits, to galaxies, to eddies, this fundamental law of the Universe, which can be extended to any number of dimensions and time-clocks, allow us to organize all the different beings of reality in ‘scales’ of relative size, Se and cyclical Time, Tƒ, which carries the information of a system in the form and frequency of its cycles, combine to create a stable ‘Space-Time Being’, whose information paradoxically grows as the beings is smaller.

Thus the graph represents the metric of the 5th dimension, which orders all the different time cycles and space-distances of the Universe according to their ‘frequency’ and ‘size’. Since in the Universe there is a simple relationship between those 2 parameters. The larger a system in in space-size, S, the slower its time cycles are:  Max. S = Min. T.    Thus the “metric of the 5th dimension”, which make smaller beings, faster, hence with more information accumulated in the frequency and form of its cycles, bypasses the main difficulty Leibniz found to formalize his models of relational space-time, explaining an infinity of facts about reality, from genetics (the fact that smaller, faster molecules with more information code larger beings) to the Unification of charges and masses (which in the metric of the 5th dimension show the same Universal constants). 

The frequencies and scales of time speed of the Universe

And so a  definition in brief of the 5th dimension illustrated in the next graph will be:

‘The 5th dimension is the dimension of spatial size (abb. Se) and speed of temporal clocks (Abb.Tƒ). Both parameters are inverted: when systems grow in size the speed of its time cycles slows down and vice versa. Smaller clocks tick faster and bigger ones tick slower, as it happens in galaxies, human beings or DNA.’

In most systems, the product of the information and size of the system does not vary. And this dual invariance or co-invariance, Se x Tƒ =K is what defines the geometry and laws of the 5th dimension. In this simple form is equivalent to Einstein’s metric of the 4th dimension, the famous S – (ct)2 equation:

In the graph we illustrate that co-invariance which is the origin of the ISOMORPHISMS of all the scales of reality. And so now we must define the 2 elements of the 5th dimension – the multiple clocks of time and scales of space that co-exist in every part of reality.

The  image, taken from a film called ‘powers of ten’ by Eames, show this astounding fact: the speed of time-clocks, Tƒ, which are anything that ticks and turns, multiplied by the size of the space they occupy, Se, is constant, Se x Tƒ =K. And this fact allows the camera to travel through the 5th dimension by shrinking or enlarging your size, with the result that if you see the film you will NOT distinguish your travel outwards, growing in size in the 5th dimension from a normal travel in the 4th dimension, WITHOUT changing scale of size or speed of clocks (we have added in our pictures the change in time speed, Tƒ, which Eames did not know).

Now let us start with a classic definition of all what we have said about ‘DIMENSIONS’ based in their study from a still point of view of the structure of space-time.

It is the definition of a ‘geometry’ by one of the foremost mathematicians of the turn of the XX century, Mr. Klein, who in his famous ‘Erlangen Program’ defined many of the future advances of mathematics.

He said that a…

‘A Geometry is the study of the invariant properties of a space(time), under motions within itself’.

Klein said the same we said, using the term ‘invariant’ instead of still point of view, and space, instead of the modern concept of space-time as the ultimate ‘dual’ substances of a dimension.

So the next paradigm studies the invariant properties of the 5th dimension. And now we can define the 5th dimension geometry using that definition, by asking ourselves, what truly does not change when we move from scales of size in the Universe, from the infinitely small to the infinitely large?

Obviously we change our size in space, from galaxies to atoms. So nothing seems to remain invariant, and that would eliminate our pretension of studying a 5th dimension of spacetime…

But wait a minute we have said ‘spacetime’, not only space. So even though size changes in space, perhaps there is also a change in clocks of time that ‘balances’ the change in size on space, so the product of both, the change of size in space and the change in the speed of time-clocks balance each other? 

As it happens this is the case and this known property of time clocks that turn much faster when they shrink in spatial size, so atoms move billions of time faster than galaxies is the fundamental ‘still point of view’ observed when we travel through the 5th dimension.

Now in science when something doesn’t change, and that something is composed of two terms, we call it a co-invariance. So we are talking of the geometry of the 5th dimension as the study of the co-invariance of time clocks & space scales.

Then we shall define the ‘first, principal co-invariance of the 5th dimension’ Se x Tƒ = K

Latter we will find out then that there are many other co-invariant combinations of energy-motion and in/form/ation-time that do not change in the Universe as we travel through scales of size, things so fundamental to our existence and nature, as our life-death cycles, or our åctions, or our organic forms.

Each ‘family of species’ and each relative ‘scale of the Universe’ has a different Se x Tƒ = K equation, giving birth to the astounding variety of Universal species. Such equation however becomes in a Universe in which we are made of spatial energy and temporal information, the most important equation of each species. And within that species remains mostly invariant. The same happens between all the derived species of that relative membrane of space-time.

The use of infinite clocks to measure time rhythms in the Universe is a theory of multiple spaces-times, whose parameters of Temporal Information and Spatial energy, surprisingly enough follow a simple mathematical law, Se x Tƒ = K, from where the order and structure of all the parts of the Universe can be deduced.

In the graph, different scales of the 5th dimension; the ‘real’ infinite quanta of spatial energy and bits of temporal information of the Universe, and 3 complementary systems, Se x Tƒ, made of ‘energetic bodies/fields’ and informative ‘particles/heads’ from physical sciences (a light field-photon particle), from biological sciences (a human body-eye system) and from economic sciences (a weapon-camera system).

Since the Universe is a fractal of infinite complementary systems, made of energy and information, whose ‘common’ properties are the field of study of the 5th dimension.

Tƒ facilitate the transition from absolute 4D single space-time continuum to relational, fractal multiple 5D space-time, we shall consider in some post the relationship between 4D Einstein’s metric and 5D Metric.

Since the classic model of physics and its 4th dimension is merely one of those ‘planes of space-time’, the one humans perceive as information and energy, made of light space-time. This plane was described by Einstein’s special relativity and Maxwell’s electromagnetic equations. And their equations can be reduced easily to the general equation of the metric of space-time, where the space-time constant is obviously the speed of light, as light waves is the ‘substance’ that makes up our galactic space-time, filled with light, even when we eliminate all objects (light background radiation).

So either in Einstein’s metric or Maxwell equations, when we interpret properly the meaning of its parameters of ‘external space and time’ and translate them into parameters of ‘internal space-time’, we obtain a similar equation:

√µ xe = c, whereas the electric and magnetic constants represent the relative ‘temporal clock-like vortex’ (electric charges) and relative, spatial, lineal motions (bipolar magnetic currents, which do NOT have monopoles, that is vortex, but always flow between two points, the north and south pole) whose products remains co-invariant, constant.

So we can consider Maxwell’s equation for the description of the 4Dimension ‘membrane’ of light space-time, a variety of the 5D metric: S(µ) x T(e) = ST±3: C

Whereas ST±3 is the constant space-time of light in which we are immersed.

The profound implications of that translation of 4D into 5D for XXI c. physics, and the enlightenment of many unresolved questions about the structure of the Universe will occupy many pages of our posts dedicated to astrophysics, universal constants, and the ST0±3 galactic/light space-time.

And we shall explain in the analysis of the bidimensional 2-manifolds made with a space and a time dimension that build, layer upon layer, in holographic fashion the 4D Universe, also how the new metric explain better relativity, its Riemannian Geometry and the spooky effects of time dilation, mass increase, length contraction and c-speed.

The flows of energy and information between scales are asymmetric.

So we write, Spe (we use here the term for spatial-speed-size only as ‘energy’ Sp is a combined parameter that does not apply here), x Tƒ (we prefer to use temporal information, to Tƒ, temporal cycles, as the key parameter of the 5th dimension is the quantity of information a smaller being, a genetic system, a quantum atom carries), equals a constant, co-invariant quantity, ST±4, where the ∆±4 index is a parameter that allow us to classify systems from the smallish atomic particles (which paradoxically have more information) to the larger ones, which have paradoxically less information hence a smaller index:

5th dimension bestcylesofexistence_image002

In the graph, two different flows of energy and information, define:

  • The thermodynamic arrow: energy-motion flows emerge perfectly in smaller world-planes downwards, but they do not emerge perfectly upwards, without loss. So when energy flows upwards, there is heat loss, waste of food and a diminishing quantity of upper systems, which feed from lower ones (trophic pyramids). Yet energy does flow perfectly downwards, so when a larger being moves, all its smaller systems do move in perfect synchrony without apparent effort with it. And this duality determines strongly the way systems ‘act’ to absorb energy in the Universe. And how they position themselves in ‘equipotential’  bidimensional fields of larger system to move without apparent effort on them (from planets in gravitational orbitals to cells along layers on morphological structures).
  • On the other hand, information does flow perfectly upwards but it does not downwards. And this duality explains the evolutionary laws and arrow of information: Indeed, there is no perfect Lamarckian evolution; that is, traits acquired in the larger scale do not imprint easily cells and genes, but there is perfect genetic evolution: information stored in DNA do determine the characters of larger planes.
  • Finally information and energy can flow perfectly in the same plane, which determines the principles of cyclical inertia (Tƒ conservation of angular momentum) and lineal inertia (conservation of lineal momentum) and the laws of reproduction of energy and information in ‘mixed’ waves and bodies that radiate both across extended space-times (light radiation and biological radiations).

Thus the laws of thermodynamics (energy arrows) and evolution (information arrows) and reproduction (repetition of both across a single space-time) are also derived of the metric of the 5th dimension. They are perhaps the most important laws to understand the dynamics in time and space of the Universe.

We shall call those 2 different logarithmic scale, which added for any species gives us the same 10 value, the Tƒ (time-information scale, graphed above) or evolutionary arrow; and the U (size) scale or thermodynamic scale graphed below.

Those two scales, which are logarithmic scales in base 10¹º, the commonest number to emerge from the individual to the Universal (∆+1 plane); that is the number of stars in a galaxy, of atomic DNA ties in a molecule, of humans soon in the global planet, of cells in organisms… mean that to transcend from U to U+1 (a larger whole), we need that number, but we will become a ‘whole’ unit, hence loose the quantized information as perceived in the new scale, as a single being.

And vice versa: if we become quantized down, and perceived as a sum of quanta, we will gain that logarithmic quantity of information. And this introduces an essential element of ∆ST – the understanding of the quantic or continuous perception of systems, such as ∑e∆-1=U (the sum of quanta seen with maximal information in motion, becomes a whole continuous perception, so the sum of quantum energies becomes the relativity continuous description of still space) and ∑Tƒ=Tƒ, the sum of cycles of time becomes a still form of information.

And we will return to that paradoxical duality, which is the key to understand space and time and its motions and stillness, as well as perception, minds and languages.

Thus an essential consequence of the difference of quantity of energy and information between the larger, continuous energetic planes and smaller, quantized, informative planes of the Universe, is the non-commutative nature of the arrows of energy (transfer of motion between planes and entities) and information (transfer of form between planes and entities):

Planes of space that structure cellular/atomic, individual/organic and social/cosmic scales which synchronize its cycles in inverse fashion to its size.

So the informative, genetic, smaller faster plane codes the larger planes, which transfer back energy to the lower planes (thermodynamic laws: energy can be transferred fully downwards to the molecular space in the form of heat, but heat cannot be transferred fully upwards as energy, and the inverse law of information: smaller systems can code fully with their information upper layers as in genetics, but upper layers cannot transfer its form downwards fully – there is no Lamarckian evolution).

This structure thus gives birth to the specific åctions of a being, which are transfers of energy and information among scales limited by the laws of evolution and thermodynamics.

It essentially means that energy will flow downwards, and so bigger systems will control lower systems by controlling their energy – cells will depend on the digestive systems to feed. While smaller systems will control upper systems by forming them: cells will code genetically upper systems.

The same happens in physical systems where atoms and molecules code the forms of upper systems, from crystals to geological cycles, but they are trapped by the larger gravitational and electromagnetic fields created by the cosmic bodies.

Thus evolutionary and thermodynamic laws/arrows (we shall call the U scale of size the thermodynamic scale and the Tƒ inverse scale of informative growth, the evolutionary scale), and its exchanges of information and energy are a consequence of the metric of the 5th dimension, which makes smaller systems to process more information than larger ones, even though the product of both remain co-invariant: Se x Tƒ =ST.

This could be stated in the following manner, when considering exchanges of energy and information across multiple scales:

‘The total energy obtained from upper planes by an individual system is roughly equivalent to the information it obtains from lower planes, and both are mixed in the world-plane by its bodies and waves to reproduce the system: ∑Tƒ(i-∆)<≈>Se(∆+∆)’.

Network’s Physiological Topology. Cellular, physiological networks create Superorganisms. 

Now those 3 topologies are the key to all other isomorphisms and temporal changes of the universe, hence we have extended ourselves a bit more in its description.

In topology though, they are today described as ‘sets of points’ and we indeed do so, with the tools of i-logic geometry in which a membrane is described as a network of fractal points.

But we do not need the abstraction of modern mathematics, as we do have now a direct relationship between the language, mathematics, and the reality, so instead we use the ‘biological’ and ‘physiological concept’ of networks, and consider those 3 typologies as ‘network’s with specific function’, energetic, reproductive and informative function.

Thus the topological Isomorphism becomes now a physiological Isomorphism, and we define all systems as super-organisms with 4 elements extended in 2 ∆-scales:

  • Cellular units, when we perceive the system in the ∆-1 scale.
  • Networks of energy, membranes and limbs.
  • Networks of information – zero points and fractal, sensorial ‘nervous’ networks.
  • Networks that reproduce energy and information.

All entities are ∆-1 parallel groups of ‘cellular societies’ knotted by energy and information exchanges into networks that emerge as a single social ∆-form. Molecules are made of atoms and electronic networks; galaxies are composed of stars, which orbit rhythmically around a central knot, or black hole of gravitational information. Cells, controlled by the nervous, informative system, organize human bodies. 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 made of human workers and consumers, that provide their energy guided by financial networks of information (salaries, prices, costs):

The ∆-scales and ∆-sciences of reality.


In the graph, an ∆-super organism is a group of ∆-1 cells joined by energetic, informative & reproductive networks that communicate them.. Those ∆-1 cells are also superorganisms made of small ∆-2 molecules joined by e, Sp X Tƒ networks and so on and so on.

Thus we define any system as an ∆-superorganism made of smaller, similar ∆-1 super-organisms. And each ∆-scale of superorganisms & its ecosystems are studied by a human science but all of them follow the same Invariances & emergence Laws & Galilean Paradoxes of 5D Metric formalized with the tools of Existential Algebra & Non-AE=i-logic Geometry.

We unify all Natural Systems as superorganisms using a single template definition, since they differ only by the ∆-scale or ecosystem in which they exist or the specific types of energy & information their networks are made of:

‘A super-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.’

Fill the gaps with a specific species, language of information and force of energy and we can define any network-organism, which will be a ‘part’ of a whole world-plane or ecosystem, composed of several species that occupy different ‘vital spaces’ but interact through the same language of energy & information:

An world-plane or ecosystem (name a specific world-plane) is a population of several (name the species), related by informative languages (name their languages or informative forces) and energy networks (name the energies).

I.e.: The ‘world-plane of ‘zoology’ includes all beings of relative size, i=6, that use light as information, called ‘animals’. The world-plane 8, a galaxy, includes as parts, all celestial bodies of size i=7 related by gravitational networks, etc.:

– 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 legal and cultural networks of verbal information and agricultural networks of carbon-life energy.

– An economic ecosystem or nation is a population of human workers/consumers and machines, related by networks of digital information (money, audiovisual information, science) & energetic networks (roads, electricity)

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.

In a Universe of ∞ scales – hence of Absolute Relativity – the ∆-number is relative to the limits of the perception of the observer that classifies them. So as humans we perceive between 2 i-limits – the atom and the galaxy, which might be self-similar, as black holes and quarks, their knots of information show self-similar equations in 5D metric and 4D metric that models a galaxy as a hydrogen atom in the Einstein-Walker space. In any case they form the minimal and maximal scales of Human Sciences, creating our Se-size arrow.






Tƒ Exi≈ST∆U±4 : S-Topologies, Informative Time Cycles & Scalar Actions, the 3 ‘elements’ of existence.

All this said it is quite easy to understand the Function of Existence, in its simplest meaningful version, a ternary understanding of its components, forms in space, cycles in time and cyclical åctions in space-time.

If we depart from a ‘fractal point’. The Worldcycle of that fractal world, W≈∑∂æ,e,ï,œ,û, will be the sum of all its åctions of motion, ∂a, energy feeding, ∂e, informative perception, ∂I, offspring reproduction, ∂o, and universal creation, ∂u.

Diffeomorphic systems. The translation of form into motion. The isomorphism of åctions in the Universe.

Galileo’s Paradox makes the 3 dimensions of space also motions: At quantum scale ‘space’ is a bubbling world of electromagnetic energies and particles condensed from those energies. In our scale, space is a gas whose volume is proportional to its motion/temperature: PxV=knT. And as its motion grows volume-space grows.

Physicists, unaware of the paradox of Galileo still draw higher dimensions as weird spatial drawings, when beyond 3D, dimensions are time motions of a higher fractal scale. Yet they wrongly try to spatialize those time dimensions of higher fractal 5D scales, making them still and placing them in the same space-time sheet, with  impossible drawings of dimensions beyond the 3rd one of ‘volume’, which of course lack any functional purpose.

Yet Dimensions are functional motions perceived in stillness, which explains the generation of dimensions:

A point with motion creates first a height dimension to ‘gauge’ from an advantageous P.O.V.; then it moves forward in its diffeomorphic dimension of energy feeding, creating a plane; a line in motion creates a bidimensional plane of information; a plane in motion, reproduces laterally, creating a mass-volume and a volume in motion creates a life-cycle or world-cone – the concept used in Relativity to define the 4th dimension of time. But we cannot generate more dimensions in this fashion, except as mathematical entelechies, at least in our observed Universe, since they are neither such forms nor further functions in a single continuous space-time plane. Thus the 5th dimension of scales, with different time speeds structures superorganisms.

It is the holographic principle: 3D space has 2 dimensions of temporal information, height and width (so a book or a screen has those 2 dimensions that you ‘read’) and 2 dimensions of energy, length and width, as we absorb energy in the direction of motion, reproducing and storing cells in the ‘fat’ dimension of width that merges both, Sp X Tƒ dimensions of space-time.

Thus both, energy ‘sheets’ and ‘informative antennae’ are bidimensional, perceived by human senses as a duality of motion-stillness (Galileo’s Paradox). So the 1st dimension is length or speed; the 2D are a moving plane or sheet of information as this page is; the 3rd is a volume or rotating body, which moves through the 4th dimension, treated as space in Relativity (a world line). Finally, an organism in 5D seems ‘still’ but within it all cells and particles are performing complex cycles of energy and form.

Moreover we observe that as each more complex action includes the previous ones, each ‘bigger dimension’ includes the previous ones. So the line includes the point; the plane, the line; the volume the plane and the world-cone the plane. Thus we write in dynamic terms the Generator, as a feedback equation of fluxes of energy and information between 2 poles, ∑Sp∆-1<=>∏ ∆, that create 5 Diffeomorphic, fractal, Space-Time Dimensions.


In the graph, the diffeomorphic Principle of Einstein’s 4D analysis acquires an organic nature, when we see the Universe as the sum of ∞ Complementary exi systems whose dimensions have organic functions: Systems feed on their relative dimension of energy-length, perceive in their relative dimension of height and reproduce in their relative combined dimension of width, which are assembled into each specific species. In the graph, an animal has its informative height in its high perceptive light dimension, but a plant, which uses light as energy has its up and down dimensions inverted respect to the man and its chemical brain buried on the Earth. So both have opposite energy-time coordinates.

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

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

Forms respond always to functions/åctions in time, the commanding ‘element’ to which the form of any being adapts diffeomorphically to maximize its existential åctions. Thus, there is a parallelism between ‘vital function’ and ‘abstract dimension’ as each Dimension is diffeomorphic created by the vital space-time of each entity of the Universe performing its exi åctions. And each species is a ‘fractal universe in itself’, with different relative, energetic and informative directions that determine its own up & down arrows and complementary morphology,

The specific geometry of each species and its 3 simplex åctions, energy feeding=length, information-gauging =height and reproduction=width fluctuate in shape, but they don’t vary in topological form, giving birth to the Invariance of the 3 topological forms=functions of any entity observed in a single 3D space-time: Toroid informative heads, hyperbolic reproductive bodies and energetic limbs studied in the next paragraph.

While the 2 social ±∆ fractal dimensions, the 4th dimension of social motion in a social ∆+1 herd and the 5D dimension of inner scales within the being follow the physiological invariances that create super-organisms co-existing in a higher ∆+1 ecosystem with a lower ∆-1 internal, cellular space (B3). In the next graph we resume the

5 diffeomorphic dimensions=åctions create a Generator Equation any being maximizes: Max. ∑Sp x ∏Tƒ.

It describes the 3±∆ åctions all systems perform: gauging information, Tƒ, feeding on energy, ∑Sp, reproducing both, x, and evolving socially as parts of bigger scales.

So 4 parameters suffice to describe all systems in terms of its åctions:

But mechanist science ignores the 3 topological ages of space-time organisms and its social, scalar evolutions between its informative births and entropic deaths, because it fails to understand the organic whys its mathematical equations describe. As scientific equations are mere varieties of the Fractal Generator and its 4 functions. They represent the 4 vital åctions common to all species of space-time. Thus in each of those scientific scales 4 functional equations express the energetic, informative, reproductive and social åctions that suffice to describe the existence of each species.

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

4 Maxwell equations describe all the åctions of an electric field. 4 quantum numbers describe all the åctions of particles: the first number explains its energy level; the second number, its feeding & perceptive gauging; the 3rd spin number shows its chances of reproducing new particles with a particle of opposite sexual spin; the 4th magnetic number shows the social distribution of its atomic organism. 4 type of vibrations organize a social molecule. 4 nucleotide acids code the vital åctions of the cell. And 4 drives of existence -feeding, informing, reproducing and evolving socially- explain the game of life, which now mankind finally understands, just before she ends her existence.

So be humble, you are nothing, just a 10 dimensional being, an infinitesimal soul who looked at the infinite Universe, a variety of the 4 symbols of the fractal generator, who denied the meaning of existence confused itself with the whole, and now will die dust of space-time.

Since only the Universe, and its soul, the fractal generator of infinite existences is eternal.

Those 5 åctions in which the fractal point will be occupied, will be performed with its 3 2-manifold organic networks, the toroid limb fields of maximal entropic & energetic |-S motions, its cyclical, reproductive body, Ø-ST, and its spherical, informative head, O-T, perceptive motions. As it extracts and uses energy and information from its environment, reproducing that information as language and as body cell to create complex Universal 10n societies of maximal Population-momentum, P. P=An, means that any population of åctions, which goes through certain ‘magic numbers’ born of perfect tetraktys configurations, become wholes of higher scales, increasing the total momentum of the being.

A whole in that sense unlike a wave is measured by its momentum as the whole becomes a scalar undifferentiated boson entity in certain dimensions of existence. For example, mass is perceived as a whole and can be operated from a Gravity center, without much matter of waves. Light cannot.

The nature of the Universe is ambivalent, and this science has forgotten for very long by looking always from precise mathematical equations that ‘break’ reality into infinite jargons and miss the similarity of beings. Relational space-time works on the inverse mode of knowledge. It is not so much analytical as synthetic. So the tools of this science are those, which look for generalities more than individualities.

Thus what we call a fractal complementary system of space-times has different names. In mathematics will be a network of points; in biology a species; in quantum theory a Complementary particle/wave system, in physics a field of motion, in which a particle/wave system perform certain åctions.

That is, we live in a Universe made of complementary systems of energy (body/waves) and information (particles/heads), which perform a series of repetitive åctions in space-time (ST±4).

Thus the key elements of all beings are its ‘vital space with energy, Se, Sp’, its cycles of temporal form with information, ‘Tƒ, I’, which together create repetitive åctions of space-time, ST±4, RU±4, A±4.

Now the reader will notice the ambivalence of such of those terms. So we shall group them in 3 categories:

‘Space≈motion≈speed≈limbs/fields of energy’ x ‘Time≈form≈heads/particles of information≈cycles’ = spacetime≈ åctions ≈ body-waves.

For example, in mathematics we prefer topological concepts to geometrical ones, as topologies study ‘general forms with motion’; that is space-time forms. And so we shall define the properties of vital spaces in terms of topologies.

In time we prefer the concepts of frequency and cyclical, angular, rotary motions, or ‘cyclical clocks of time’, to the inverse concept of lineal duration. As cyclical time gives us much more information about the nature of those time cycles, and its phases/ages/horizons/frequencies. It is precisely in the understanding of time where relational space-time models give the largest jump on new science over the simplistic single-lineal time models of classic physics.

An enormous number of new laws of science are unveiled by studying instead of simplified T-time duration, the more complex concept of Tƒ, cyclical Time, even when we just translate a formula, by substituting T by 1/T=Tƒ (Frequency of a time cycle).

But by far the largest growth of knowledge applied to all sciences, is obtained from the understanding of the ‘scalar’ structure of those multiple vital spaces and time cycles that organize all systems of the Universe, what we call the metric of the 5th dimension.

Let us then study in more detail the 3 fundamental concepts of ∆ST: a topological bidimensional space with motion, with energy, which merges with cyclical motions in time, cycles of time, and together create åctions with energy and information that modify reality according to an existential game, a simple biological game of survival that all fractal complementary systems of spatial energy and temporal information perform: to exist as long as possible by absorbing energy and reproduce their own information beyond death.

We can consider all complementary systems made of dimensions of vital space with motion and cyclical time clocks also a biological being, in the sense that they all perform åctions, which can only be explained in their causal whys with the 5 classic biological drives of existence: Energetic Motion and absorption of energy for inner and outer motions perception of information, and repetition of the system’s information in similar system, and finally social organization of cellular systems into social groups.

This is the essence of the game, a Universe made of fractal systems of ‘topological vital spaces’, which move in repetitive time cycles, in search of 5 åctions that ensure its survival, ∆a (accelerated motions), ∆ï, informative perception of time cycles, ∆e: absorption of feeding energy, ∆œ, iteration of the individual system into an offspring and ∆U, social evolution.

Thus we can consider a simple pattern of creation: 3 topological vital geometries with motion cause 3 time ages as they develop their åctions of ‘energy and information’, organized in social groups.

This game of existence thus needs to explore in great depth the meaning of its S, T, ∆ components

Recap. 3 elements are the essence of the Universe of relational space-time:

The existence of ∞ quanta of space with motion, ‘Non-Euclidean fractal points’, which have a volume of energy and information, which they share and communicate forming more complex networks, worlds and Organisms.

The existence of 3 time arrows, a relative past of maximal motion or ‘entropy, death arrow’; the relative future, with more information, or ‘informative, life arrow’, and its combinations, the relative repetitive, present arrow that seems not to change, as systems are reproduced into similar present forms.

And the existence of infinite ‘Universal Planes’ (which we shall call ∆-planes, when measured in terms of its informative speed of time or u-planes, when measured in terms of its relative spatial size), which organize systems across scales of size, so all systems tend to exist in 3 ±∆ scales, the cellular/quantum, individual/organic and social/cosmic planes, exchanging energy and information between them.


8th isomorphism, species, the 9th isomorphism, social scales, bring us the variations on the same theme of the being which will become the different horizons and sub-species that ultimately will assemble themselves into a new larger super organism or plane of existence, through a process of evolution that includes both, variations in time and space morphologies and social gatherings in larger groups.

 6th isomorphism: variations of species. The fractal ternary principles of creation.

Screen Shot 2016-05-14 at 21.02.48

Some dual, creative analyses forgotten by AE sciences that we consider in ¬Æ ST Theory: the Universe as a spatial system, machines as evolutionary beings, and civilizations as organisms. The game of creation must be understood through its ‘dual symmetries’ and ternary networks that allowed its finite reproduction of fractal forms in the infinity of continuous space

The most satisfying function of existence is reproduction, the Generator Arrow, the maker of the game and all its species – the purest sensations of them all.

The Generator Feedback equation of spatial ‘—motions’ and temporal information is a reproducer, which embodies all the combinations of the game in itself, the creative algorithm of reality, which Touring once looked for with its simplest example a touring machine. But the creator potentially is more than a touring machine, it is what the touring machine observes, reality itself.

The rest of beings are just following the combinations of that grand design.

The active creator is limited by the parts of the whole that will assembly. So we shall call it with a more humble name, the assembler

With the syntactic combinations of the i-logic generator, the creator will always end repeating a form of finite time that had existed in ∞ space.

The proof that we are all repetitions is clear: space is infinite because it has not dark spaces, but it is a continuous number of closed and open topologies assembled in triangles, squares, hexagonal, polygonal and hexagonal, planes and spheres, with no darkness.

Information however is always limited and time always ends: it is a fluctuation of existence over that ∞ ‘—motions’.

All existences have possibly existed in the infinite fractal space of a finite number of times cycles.

We all will be assembled again as an i-logic form of space-time in some other self-repetitive fractal printed in the infinite ‘—motions’ of the trophic pyramid of existence that gave you birth.

Let us then operate the creator: Its simplest combinations will be complementary systems of ‘—motions’ and information that take advantage of the inverse properties of both:

The dualities of Creation.

In time the generator combines past, ‘—motions’ forms and future informations, generated by its universal, feedback cycles, and its arrows that imprint and create the chains of forms of present existence. Creation is structured by a series of dualities that merge creating an eternal, fluctuating present that appears and disappears as cyclical action-reaction systems cancel each other, making its total sum zero:

– Time and space have opposite morphologies and functions, which cancel each other:

– Informative, temporal singularities are convex, implosive and energetic membranes are concave, explosive. Thus a flat plane of temporal ‘—motions’ fluctuates into 2 virtual forms whose total value is null. For example, particles and antiparticles are born of a vacuum plane without form but they keep their inverse CPT parity. Thus the sum of its spatial form (P), its temporal arrows (T) and its dual, organic charge cancel.

– The duality of ‘—motions’ and information explains also sexual differentiation: females are specialized ‘time beings’ dominant in cyclical forms, memory, information, temporal verbs and perceptive languages. While males are specialized ‘‘—motions’ beings’ with bigger, lineal forms, dominant in spatial tasks. Yet both can be further differentiated into an informative cyclical head, and a lineal body. So, in graph 3.1 we draw a man with “temporal cycles” that represent his informative organs, the head and senses; and ‘—motions’ lines that represent the body and his members. Yet, despite the simplicity of that design, he is recognizable as a man.

– Duality causes the creation and reproduction of space-time fields through the process of palingenesis, by which a certain form of relative future, a father, emits a relative form of past, with lesser evolution, a seminal seed, that then evolves very fast towards the future, till becoming again a present form parallel to the father.

– Duality exists in biologic organisms evolved by the dual influence of macro-ecosystems and micro-genes.

– Duality is the cause of informative perception, as flows of spatial forces become transformed in a point of relative time or particle, in which they ‘merge’ into a ‘boson’, accumulative image of information that represents reality.

– Duality also applies to behavior: there are Darwinian acts between different beings that destroy each other vs. social, evolutionary acts between equal beings that evolve together, sharing ‘—motions’ and information through common networks. Thus all organic life ends up cancelled by a predator. It is a key duality as it responds to the 2 arrows of space-time, the arrow of symbiotic order, of information and the arrow of energetic ‘—motions’ of destruction defined by the 3rd postulate of illogic geometry.

– Finally Duality implies that all forms that evolve in time through 3 horizons, then organize in space those 3 horizons as the 3 regions of an i-point.

The number of events we can describe in all sciences departing from duality is enormous. Yet in as much as temporal information is dominant in living beings, illogic time is more important in biological and sociological sciences, explaining phenomena such as reproduction, perception, life and death, organic structures, etc. While, physical and cosmological particles can be described better with the use of Non-Euclidean, spatial geometry, as particles are dominant in spatial ‘—motions’. We will consider in the next chapters the most important biological applications of illogic time: the duality of Darwinian and symbiotic behavior; the way in which perception occurs; the concept of a top predator species, as information selects species with better brains; the palingenetic reproduction of biological forms which implies a dual travel in time back and forth from the future to the past…

But duality is only the beginning. Most systems evolve, self-combine and create finally a 3rd system, a reproductive one, becoming autonomous, without the need of ‘assemblers’ and ‘enzymes’. And then the game becomes richer in variations, because it becomes guided by ternary symmetries.

We understand those organic, self-reproductive systems according to the Ternary Principle studying the 3 temporal ages and functions of a ST field and then putting them together as the 3 geometric, organic, spatial regions of i- point. Since all ST field require 3 elements to exist: a Tƒ, informative element; an Es, energetic, spatial form, and an intermediate ‘present, simultaneous region’, dual flux of temporal ‘—motions’ that merges them into a whole. The result is an Sp-Tƒ rhythm of evolution and reproduction of forms in time that become latter reorganized as i-points in space, creating dual organic, real forms of temporal ‘—motions’. For example, the Universe first created fundamental particles, temporal quarks and spatial electrons that recombined into ST atoms; the body reproduces cells that latter evolve, becoming organs of ‘—motions’ and information, etc. Thus ST theory shows the complementarity between the ternary horizons of species that once have evolved energetic and informative particles interact creating an intermediate ST zone, shaping a new i- organism:

– Max. Sp: The external membrane and energetic network of the system that performs ‘—motions’ cycles, transforming information into ‘—motions’, appears first: it is the cell’s fat membrane, the stars of the galaxy, the endodermic cells of the future digestive systems….

-Max.Tƒ. Then it will appear the informative quanta of the future informative network and ‘brain’ of the system that perform informative cycles, transforming ‘—motions’ into information: they are the cells’ informative nucleotides, the black holes of the spiral galaxies, the brain.

– Sp x Tƒ: Finally the interaction of ‘—motions’ and informative systems creates an intermediate, reproductive region that combine ‘—motions’ and information: so protein membranes and nucleotide acids create the cell; stars and black holes create galaxies; the energetic endoderm and the informative ectoderm create the middle mesoderm region, each one the blue print of the future energetic, digestive, informative, nervous and blood, reproductive systems.

In formal terms we write the process as a decoupling of an initial Sp x Tƒ form that differentiates into a more energetic membrane (Max.Sp) and higher informative quanta (Max.Tƒ), that interact, creating the intermediate region, ST, shaping in this manner a new, ternary equation – the ultimate definition of any species. Since we are all self-repetitive MST field equations

The generator equation, Sp<ST>Tƒ, represents both: a temporal event between 2 relative ‘points’, an Œ-point with higher content of ‘—motions’ or relative past form, and an Œ-point with higher content of information or relative future form, that communicate implosive information (>) and explosive ‘—motions’ (<), through a wave of temporal ‘—motions’, <=>; creating a ternary, multicausal, simultaneous structure of spatial present.

Multi-functionality: 3 st-points functions. Ternary Principle:

Creation happens due to the ‘diversification’ of any Space-time field in 3 subspecies in space or 3 ages in time; Sp, ST, Tƒ.

It is the ternary principle once and again written in the book of Nature, caused by the fact that there are only 3 elementary forms in the Universe, ‘—motions’, information and a combination of both. Thus, events, species and space-time fields, both in time and space, have 3 elements: 3 ages, 3 horizons, 3 dimensions or 3 physiological networks, whose functions correspond to the arrow of ‘—motions’, information and reproduction that create the Universe. The Ternary principle is the origin of an evolutionary, impersonal plan of creation that diversifies species in all scales of reality into 3 forms, (Max. ΣSp, Max. Tƒ, ΣSp=Tƒ), from the 3 families of masses to 3 the types of Universes. It allows organizing all biological species in a tree of ternary horizons and differentiations of energetic, informative and balanced organisms, which co-exist in 3 st-scales of existence:

‘Any form can be subdivided ad eternal in new ternary forms.’

For example, the human body can be subdivided into 3 networks; then the digestive network can be subdivided into the stomach, liver and intestine system that can be subdivided into the colon, small, and large intestine, which can be subdivided into the left, top and right side, etc. The Ternary principle implies that the 3 spatial dimensions of any space-time field perform 3 temporal functions:

‘Any species, which is part of an ecosystem or an organism, maximizes its survival developing 3 functions as an energetic, reproductive and informative system for the higher scale’

I.e.: a cilia act as energetic limbs that move the cell, sensorial antennae that inform, and they evolved as centrioles that help to reproduce it. Hormones are also multifunctional.

And so on. This first rule of creation developed either in space as a topology of 4-dimensional reality with 3 elements, toroid ring, hyperbolic cycle and spherical plane, or in time as a game of ‘—motions’ that warps into information reproducing along the way, is your limit.

So the creator descends a notch more into self-appreciation since he is nothing but a contemplator of a game which has created before. That is he is created by the game and as assembler he is so determined to do one of the known-known combinations that, indeed, there is nothing new under the sun.

The isomorphisms of the game of creation are in themselves an entire sub-discipline of multiple space-times theory, studied in detail in my files. In essence the process is self-similar in all scales:

A species will differentiate in ternary sizes (its cellular, organic and social size); it will differentiate in ternary topologies (an species dominant in ‘—motions’, one in information and one in reproduction); in ternary ages (a neoteny species aborted in a palingenetic phase; one mature species and one with an excess of information, which will become cell of a new scale of evolution, a superorganism communicated by the language); and in ternary functions, symbiotic to the higher st+1 organism in which the entity exists (as an energetic part, an informative part and a reproductive part or else the organism would not ‘tolerate’ the presence of the microcosmic species with no function).

Further on all those creative strategies of survival become more complex, when we consider its combinations: species with several functions, often in several scales; complementary, sexual specialization in an energetic, male entity and an informative, female entity; ternary structures that form complete topologies; open balls that act as doors between membranes, without center and membrane; and combinatory varieties of ‘sexual species’ or ‘complementary’ species, in which the ‘—motions’/informative components, each diversify in 3 topologies, scales, ages, etc.

Those combinations further enlarge the number of subspecies, though many of them, especially ‘anti-species’ in which the lesser informative ‘male’ plays an informative role and the lesser ‘energetic’ woman an energetic role (for example an antiparticle, with an energetic electron in its informative center and an informative proton in its energetic membrane), will not be stable and will not survive. This brings another essential law of creation, the inflationary nature of information checked by the isomorphisms of survival that extinguish unsuccessful species and tends to reduce the explosive age of creation to 3 ‘basic ternary differentiated’ types that survive, while other transitional or non-balanced combinations disappear:

‘The Universe creates an inflationary number of ‘forms’ which are then reduced by natural selection to ternary species and balanced, complementary, dual systems’.


7th isomorphism: vital inner and universal outer constants of existence.


Now because of the Principle of relativity, likely better expressed by Poincare – what we call here the Galilean paradox – the incapacity to distinguish motion from form

The conservation of ST-presents.

The conservation laws of the Universe can be resumed in the conservation of the total Sp<ST>Tƒ reality and its ternary symmetries across space, time and the 5th dimension. So angular and lineal, Sp and Tƒ momentum is conserved, and its larger, 5D vision as integrated planes of systems or energy and information (kinetic and potential energy) is conserved. And the number of particles and antiparticles, or life and death states of a world cycle is conserved. Yet because Sp and Tƒ are relative past and future arrows merged into ST-waves-bodies of present, which constantly iterate its forms, actually all reduces to the conservation of ST dual fields. Present Fields. We do exist always in present.

Thus all starts with a simple philosophical statement: ‘The Universe exists constantly in present’.

This seemingly simple statement, is a powerful instrument as soon as we realise that the present, ST, is a bidimensional system with a parameter of a dimension of relative space-frm and time-motion, or O-x |=Ø, that is an event which is creative.

The study of the Function of present, Spast, x Tƒuture = Ø-Present, a Constant of existence, which ‘exists’ in one of the scales of the 10th dimension ‘alone at a time’, and the study of other ‘simplex dimensional conservations in any ∆-Plane of the energy and information, Sp and Tƒ, quanta and infinite continuum vibration in space of two poles, which brome a harmonic oscillator creative event:

Sp = ∞ x O = Time point -> Constant of existence which fluctuates through its differential equations from a lineal function ∂y to a full cyclical function, Dy/dx, in any of the two possible upwards and downward social dimensions of affine or topological spas.

Thus a constant of existence, Sp x Tƒ = E∆i, can be also perceived as a sum of quanta of space, of discrete volume dimensions which are seen as fixed and a seemingly continuous due to its extreme range f harmonic oscillator functions between 2 poles.

The line then becomes the true ‘minimal entity of the Universe’, and as such, since lines have breath soon become waves of points, extended also transversally till finally are organised in a different type of vibration, that of a plane.

Which has by definition, one more dimension and so has points of view, called particles, with a larger gravitational mind of dimensions that the simpler, thermodynamic and electromagnetic, j, µ and h quanta.

So we could say that the mind is gravitational because of the way we perceives geometry operate with eyes, etc. and so it is cold because it makes a reduction of thermodynamic form – hence its gravitational in the scale it measures.

What are the quanta of gravitation? The only known candidate is the neutrino hence, IT IS the neutrino. How to adapt the equations of present mathematical physics is through the Jordan theory of neutrino light in which particles, first exchange along the invisible side of the c, m, t barriers, a measure line, invisible but that we know it is there to form the first informative neutrino-giravtational connections.

So we are gravitational beings.

We become then frames of references of mechanics in the equation of the mind which is the equation that truly defines as the relative constant of existence, c-speed or 0 temperature or H-planck.

The Universe is immortal in 0-sum time cycles that never end, perfectly anti(symmetric) between the two directions/forms/motions on the extreme of those two cycles, which converge into present, static forms and its infinite-simal up and down in the 5th dimension. And having that on mind we can describe it all.

The main of those laws is the immortality of the Universe, and its dualist formal motions, which are a zero-sum when we put together its antisymmetries of space-time, which conserve together its potential vs. kinetic energy, angular vs. lineal momentum, time vs. space anti-symmetries, across 3 ∆±1 planes of the 5th dimension.

This is the ‘essence’ of it we must grasp. The immortality of the whole is based in the inverse symmetry of its 2 elements: form vs. motion, left vs. right, expansion vs. implosion; lineal, decelerating, expansive stillness vs. accelerating implosive cyclical motion; faster than c speed vs. slower than c speed, positive charge vs. negative charge, particle vs. antiparticle… Positive vs. negative wave sides. opposite genders, a ‘male’ or ‘female’ element, which are complementary and fusion in a reproductive present or divide in two opposite fractions.

Thus 5D Physics explains in a much more natural manner what many physicists came to call the group theory disease; that is, the use of the abstract jargons of modern mathematics, without understanding what they truly mean, and what is ‘truth’ and what is mere mathematics, provoking the present inflation of ‘Group transformations and Symmetries’.

Reality is rather simple, and the proper jargon slightly different. There is not a breaking of symmetry as physicists express it but rather the creation of a symmetry of opposite elements, departing from a universal constant, of Present State, Sp=Tƒ, an immortal point of balance in any plane of reality, which diverges both sides, to one side of MORE INFORMATION, Max. Tƒ and a side of larger spatial energy, as that is the ONLY ternary elements of 5D space-time that might ‘’diverge or converge’ in any scale.

In brief, the 3 ‘standing points’ of the e ages of a Worldcycle in time or ternary symmetry in space or ∆±1 scales of the 5th dimension might diverse from present to relative past and future, lineal and cyclical, higher or lower scales and that gives birth to diversity. So we shall first consider in the domain around our local scale, space and time parameters-constants, how those divergences might happen.

So zero systems expand into the negative (past-Sp in our conventional choice) and positive (future, Tƒ in our choice) relative sides of a constant of symmetry, Sp=Tƒ, which is expressed by giving birth to two cancelling opposites.

Coincidentia Oppositorum, said Nicola da Cusa, the infinitely large and slow, the infinitely small and fast, the 0 and the ∞ which are relative and multiplied give us a constant ‘o’ for adding operations or 1 for multiplicative inversions, or a Universal constant for logarithmic scales of the 5th dimension (log vs. e, ln vs. 10, log2 vs. 2 vs. √2 being the most important of those inversions).

The ‘Generator’ equation of space-time beings and its ternary logic.

Unfortunately the beats of the universe are difficult to understand because the logic of present man, especially that of physicists seems ‘lineal Aristotelian’: A causes B.

Reality though is more like the Eastern philosophies of Vishnu-yin-information and Shiva-yang-energy/motion:

A<=>B, that is A and B interact to create a ternary <=> present element.

Reason why there is conservation of Angular and Lineal Momentum, there is Space and Time,  Energy and Information, O-Particles/Heads that store time cycles and limbs/fields that move them, mixed in bodies and waves that reproduce both of them.

Humans of course, naturally have always expressed this ‘Ternary’ Structure of the universe.

And so the parallel syntax of the languages of knowledge we use to describe those Universal beings  – verbal, mathematical and visual languages – all have the same ternary ‘grammar’, which I have called the ‘Fractal Generator’ of the Universe:

Tƒ (Subject or Function of ‘temporal information’) < ST: action, operandi or verb ≥ Sp (Object of ‘spatial energy’).

We associate counter-intuitively ‘cycles with motion’ and ‘lines with Still space’.

It has to do a lot with the limiting errors of classic physics, where only lineal inertial motion matters. Fact is big-bang explosion DECELERATE speed till it becomes Still lineal distances and dimensions, that is pure lineal space with no motion or vacuum space (as in any physical big-bang of entropy). While the equation of cyclical vortex, is Vo x Ro = K (2-manifold, simplest variety), which counter-intuitively accelerates (∆V) when distance becomes smaller, (-∆R) to maintain K constant.

Thus clocks, frequencies and vortices accelerate ,and have more ‘time’ content, that lineal motions that decelerate to a halt.

Now, we explained before that in duality Space was slower, extensive, Sp, Size, and time was faster, cyclical, accelerated (so are its maths). But now in ternary symmetry we have the need to ‘extend’ the meanings of time and space to the duality of the 3 motions of time and the 3 organic parts of spatial bodies and this makes some confusing choices of terms, such as:

Space will be the still, formal view of reality and Time the motion view. And so we shall talk of 3 ‘topologies of formal space’, and 3 ‘ages of time motion’, which together shape the fundamental duality of reality, the view of organs in simultaneous space and the view of beings living a worldcycle of 3 ages of time:

Sp (limbs-fields)≈ Young, past, expansive age < ST: Present, repetitive, hyperbolic body-waves, adult reproductive age>Tƒ (Temporal, future informative, cyclical old age).

Now here the convention I have adopted is to Use the same symbols for either symmetries, the limb-field<body-wave>head-particle or spatial simultaneous view of an organism in space, and the Young-past-expansive < present-Adult-reproductive>Old-Informative 3 ages of time.

This is where things seem confusing because the whole thing transmutes. The old age of future time has more information and it is cyclical, properties of time cycles, but it is also slower, property of space decelerating motions. The young expansive age has more motion, a property of time more than space and so on.

But as I have told you B & W and 3 color view are new worlds, and this is the closest way to express past references and correspond with human expression of all this.

A way out to avoid confusions with the ternary symmetry is to use more when dealing with the still, simultaneous spatial view, the ‘symbols of geometry-topology, |, O and Ø:

|-Limbs/fields < Ø-waves-bodies> O-Heads/Particles

And the same for time ages with the reference of time motions:

|-young past < Ø-present, reproduction > O-Information, future, old age.

So it shows the symmetry with the symbols | , Ø, and O.

If in the future anyone goes through my 30 years of research in all this, they will then find that I profusely use those symbols.

But trust me if you really understand T.Πwhich is more a question of mental attitude, the understanding will be clear from the beginning.

The generator equation.

So I wrote the Generator Equation, a symbolic equation that represented all the systems made of fractal space and cyclical time and its space-time combinations, whose geometries ARE the 3 ‘only’ Topologies of the Universe we perceive:

Γ. Generator:           Toroid Sp(limbs/fields) < Hyperbolic ST(st) (repetitive waves-bodies) > Spherical Tƒ (head Particles)

Since limbs and heads, fields and particles interacted and mixed their lines and cycles into ‘conic bodies, and elliptical orbits and hyperbolic waves’.

Or as Cheng-Tzu the Taoist philosopher put it: from 1 (time cycles or Tao), comes 2 (the yang-line of energy and the yin-information, broken line) and from 2 comes 3, and from 3 the infinite beings.

(Asian cultures defined always time as cyclical, without the distortion of lineal physical time, also for cultural reasons we shall soon explain.)

So I could classify all the different space-time beings made with the 3 topological formal motions of the Generator.

Since Nature ‘pegs’ those 3 forms & functions, which put together create the underlying structure of all systems of reality, both physical and biological, as all combined the ternary elements of the generator equation, either in sequential time orders (entropic youth, reproductive maturity, 3rd informative old age) or simultaneous, spatial organisms.

Yet that is always a simultaneous organic construction, or rather superorganjc, as it is made of smaller beings which are also super organisms, controlled by the central point of view-network, the elliptic ‘sub-system’ of information that controls it all, in the 3 x 3 +0 decametric structure of all systems. So in the 10 sub-systems of the human super organism, it is the brain, the 10th element; in a 10 military system will be the sergeant, the captain, the general of each 10, 100, 1000 scalar levels. And in a simple tetraktys, similar to the billiard triangle, the central dark ball which coordinates all other balls, by being precisely in the middle, able to communicate with them all and organise the whole system.

A exhaustive classification for each being its 7 type of Constants.

Now, in order to qualify quantitative through constants a given systems, we can establish a series of basic constants according to our previous ƥST classification.

In a loose, we could talk of 7 type of constants, for any of the ±∆•ST systems of the Universe:

±Social constants of the 2 arrows of its ∆-scales

±Constants of S-topologies and T-ages and its ratios.

±Constants of the Generator, S<st>t of the system.

And a 7th type of constant that maps out in stillness a certain mind.

However unlike the other isomorphisms, where there is a surprising ‘neat’ relationship between the number of the isomorphism and the type of elements we define (1.generator, 2.st bidimensional systems, 3. time ages, ±4 planes in which an ∆0 being communicates, 5 actions, 6 species, 8 motion, 9 scales and 10 planes), the 7th constants are chose to adjust better to that number; given the fact that the vital constants of the internal being, the universal, external constants of the world and those of each of those ±4 planes with which the being interact, and those of each of its sub-species of the ∆±1 scales, etc, make them quasi-infinite in number.

So not to be exhaustive, we shall choose 7 in the sense of ‘general ±∆, ±ST, ±s<st>T & 0-Mind type of constants.

Classification by ∆-regions.

In that sense a simple way to classify the constants that act in a being is to divide them into:

-Internal, ∆-n ‘vital constants’ (ab. VC)

External, ∆+n, ‘Universal Constants’ (ab. UC), of the larger world with which the system communicates, absorbing and emitting energy and information.

Those types of constants are the most studied and so they are clear in terms of magnitudes and physical equations and quantities and proportions for physical systems

For each of those planes, the physical Active Magnitude (∆C) and its constants of action will be the mosre important, giving origin to:

– Internal<=>External exchanges; with its 5 sub-constants of actions performed by the inner being in the outer world: ÅC.

Those are better studied in biology, as they acquire more qualitative, topological, social or mental properties when we deal with species closer to the human.

So as we grow from entropic to informative scales and study those ±∆ ‘constants’ for each scale of the universe, we shall switch for quantitative extensive analysis to qualitative intensive studies in biology.

Linguistic Constants: Universal Grammar and beauty constants. Finally we can also consider as reflection of reality the Universal grammar and syntax, proportions and beauty (E=T) BALANCES of language and art, as ‘constants ratios’ , which illustrate perfectly the concept of balance and conservation of ‘mens sana in corpore sanum’, of classic art.. It is the mental creative analysis of constants of beauty considering the ratios and proportions of artistic space-time (the ∆o mind of man).

Now if we want to be more specific we can make a brief summary of the main constants we shall find in terms of the 3 elements of the Generator in each of those 3 classifications.

Vital Constants: Space quanta: Spe; Space quantifier: ∑; Time Frequency: Tiƒ: Time Synchronicity: ∏; Energy Density: S/T; Information Density: T/S; Existential Speed: SxT.

Å.C.: Active Constants: Å.C.: Active Magnitude; Æ.C.: Motion constant, E.C.: Feeding constant; ±ïC: Information constants; Œ.C.: Reproductive Constant.

U.C. Universal Constants: û.C. Universal Constant, and its §10: Social constants normally of a decametric scale.

And similar V.Constants of the larger physical planes:

It is then clear that the number of Vital constants of a system is enormous, as the complexity of any fractal has infinite limit. But we shall consider generally the explanation of the Constants study for each science and species, introducing only a few ∆ST constants in more detail, which vary slightly in reference to those used in science, notably, quantifiers of space & time, its densities and Existential speeds.

The 7th isomorphism is more technical and perhaps the one of maximal interest to the quantitative age of ‘measure science’ we live in. Since it deals with all the Universal constants and vital constants and physical, chemical, biological, sociological, you name it, constants which ‘specify’ and ‘diversify’ all the varieties of dimensional beings, its scales, ratios of åctions of exchanges of energy and information, etc.

In detail. Nature’s numbers as expressions of ∆st actions

Constants of Nature are the quantitative ‘substance’ of ∆ST related to the Constancy of the S, T, ∆ elements of  the Metric equation and its partial analysis. Thus the metric and the constants are the 2 essential isomorphisms that connect ∆ST and classic science.

Each of those space, time dimensions, scales, planes, and åctions between them must be defined by a Constant.

We use 5D ”symbols’ and names slightly changed in meaning for those main Constants, dividing them in internal, ∆-n ‘vital constants’ (ab. VC), and external, ∆+n, ‘Universal Constants’ (ab. UC), self-centred in the Active Magnitude (∆C) and its action constants that value all the System (∆-constant, or main metric of the Œ-point), with its 5 sub-constants of action, ÅC.

More specifically:

∑ and ∏. The Se constants &Tƒ constants that relate Space and energy, ∑e=Spe, and Time and Information, ∏T=Tiƒ

3 S-Dimensional Constants related to the ‘extension and energy’ of the Sl, Sh and Sw dimensions.

T-Age Constants, related to the duration and inverse frequency rhythms of the 3 ages of time.

ST-constants, related to the topological shapes of its 3 bidimensional varieties.

Action Constants, related to the ratios of exchange of energy and information of the 5 åctions of the entity.

Social ∆-Plane Constants, related to the numerical ratios of Size and Speed ratios between ∆-planes (normally around a 10 factor), needed to transcend between social scales.

So Decametric constants are social § constants, till arriving to the discontinuous between planes that creates a whole.

As 10¹¹ individuals create an ∆+1 super organism. It is the final step of the game of existence played by all entities through its world cycles of space-time, as all systems are moved by their desire to maximize their existence, their vital space and cyclical time, formal motions.

Thus this max. Se x Tƒ, this mandate of existence means species try to climb the stair between planes.


Screen Shot 2016-03-20 at 14.28.45

The main constants of a system are divided into active magnitudes, vital internal constants and universal external constants: Å.V.U.C.

The study of the quantitative constants and hence the algebraic equations of the being, which is fundamental to physics. We study the main proportional ratios between the Sp-ST-Tiƒ, elements of the Generator Equation, internally, the vital constants of a system, externally the Universal constants of its world, both connected by the active magnitude or value of the being

Thus 3 are the types of parameters and equations related to the ternary rule of subdivision of those Universal constants:

– 1.Å:Åctive Magnitude (å), this is the scalar number, most systems use to define the whole. It is the charge of a molecule, the rest mass of a cosmic body, the Z-number of an atom, for the 3 physical ∆±1 scales in its static state.

But obviously for each species and each study is diverse. For example, in America, where the language of valuation is money, this is the ‘credit number’ or fortune of each citizen – all other things dependent on this. And generally as the example shows, this active magnitude is connected to the Œ-isomorphism of the language of value of the world in which the being is: IT IS ITS FACE VALUE, its Tiƒ value in the parameter of information of the larger world. The dominant value, naked. And also the fundamental element of survival (as systems tend to be in balance, S=T, by defining Tiƒ, we often define the Sp x Tiƒ metric existential force of the being).

In the cosmological realm, your mass defines your survival, in a molecule your charge-valence, in an economic society your ‘money’. In a genetic society your ‘surname’. And of this always the fractal is aware. In the old times, when someone asked you what you were, or rather who you were, you said your kinship, name or tribe, in the modern world you say your profession (as it would be a bit rude on the sense of ‘balance’ to state your wealth, but this is implied by the profession’s salary). So this is the key constant, ∆-1Tiƒ put often in relationship to the total amount of the world, so it is also in physics, the Potential magnitude, the ratio between the Å-ctive magnitude of the being and the total value of the field-world below or above.

Now again we must realize that the languages of God are infinite, meaning that while no physicist would perhaps accept that Mass and Surname are similar concepts they are both å-ctive magnitudes of the language of cosmology and the language of genetic societies that resume the value of the being for the whole system, and its master-god, the black hole origin of cosmic mass and the king, master of the tribal nation. So again, the closer your parameter is to that of the central element of the ∆+1 hierarchy, the more value you have, the closer you will be seated at the side of ‘God’ (the Max. Tiƒ point of your ∆+1 world is the definition of God).

Now associated to this according to duality principles (according to the duality, motion-static form, and | vs. O-motions) we can talk of other key parameters, related to moving active magnitudes, performing | or O cycles. Hence in physics it is the Lorentz Force of a charged molecule or particle (subdivided into its charge and magnetic motions), the momentum of a mass (subdivided in |-lineal momentum and O-angular momentum).

And so happens for particle parameters, in which the quantum numbers perform the same conceptual tasks, further subdivided into 2 x 2 numbers (principal for lineal kinetic energy, secondary for angular momentum, being the spin number for perception and reproduction and the magnetic number for social evolution).

Thus we can see now that departing from an active magnitude, we can start to find all kind of combined parameters and active constants, once we give motion to the active magnitude and put it to task, performing its 5 canonical actions that give ‘living purpose’ to the being.

-2,3,4 ‘V’: Next we consider a set of 3 ‘Vital Constants’ internal to the being, which relate Tƒ and Sp, and hence are the main parameters of fields-limbs/body-waves and particles-heads.

They write in terms of Tiƒ=1/T, cyclical time or frequency: the inverse of period-duration, T. So we write 2 formats, the classic T- duration equation; and the inverse Tiƒ -frequency equation, which is the one T.Œ uses.

-Se/Tƒ=SxT = density of reproduction of energy And its inverse:

-Tƒ/Se= 1/TxS: density of reproduction of information; or speed of reproduction of the Œ- form in a lower scale (quite obvious for waves, S=T, not so evident for particle-field systems, S>T)

It again does have different jargons in physics, as most parameters of the fractal, bidimensional Universe are squares, while in lineal physics, they tend to use one-dimensional parameters. For example, the density of information is closely related to curvature, which in lineal physics at each point of a line is defined to be 1/r, where r is the radius of the osculating, or “kissing,” circle that best approximates the line at the given point. This for the explorer of physical equations is one of the fundamental, albeit cumbersome corrections of most physics, to give it a focused mirror: the transformation of parameters to the proper dimensions of time and space.

Another example is Maxwell’s equation of light speed, c=1√µxe, which in the bidimensional Universe must be therefore squared, to give us the fundamental parameter, c2 = 1/µ(sp) x e (Tiƒ). Alas (-; we does have here by the simple procedure of applying the general concepts of T.Œ to a physical formula the understanding of 3 fundamental parameters, µ, the magnetic constant that defines µ as the quanta of energy of the electromagnetic space, eo, the electric constant, which defines it as the informative parameter (or in its inverse lineal time concept, as Ke, the coulomb constant of force of the electromagnetic field), and finally c2, the density of information of light space, which as it happens comes also in a fundamental equation, E=Mc2, or E(sp) < C2 (Tƒ/Sp) > M (Tƒ), which simply states that an entropic field of space-time light, becomes converted into a cyclical vortex of time or mass, through the ratio of conversion of ‘entropy into information’ of our Universe. And needless to say since we have discovered the meaning of µ, eo, k and M and c2, it will be easy to understand as Ke and G are closely related the meaning of G, when we study the Œ isomorphism of physical systems and define charges and masses unifying them, as the two time vortices of information of the ∆-1 and ∆+1 scales.

Now we can relate also those terms, µ and eo to the normal speed of material waves (concepts of tension and mass of the string that ‘waves’), when dealing with our world.

And all this led us to the understanding of speed of information transmission. It is the most often used constant of the Universe, c-speed, albeit eliminating the informative parameter of the Tiƒ element, and making it lineal, which we will show to be determinant to misunderstand speed. Since ultimately speed is reproduction of information along a path of motion on a lower, ∆-1 scale. So physicists come to realize that for exampled the c-speed limit is NOT one of mere locomotion but one of ‘reproduction of information and transmission of information’ along the Universe.

We shall obtain wondrous results as the ∞ relative speed of gravitation, which carries no information or ‘action at distance’, but does carry energy-motion, that is locates forms in space. Why? Simple, we are talking of a density of reproduction of energy NOT of information, carried by the gravitational force. And this process SxT≈Se/Tiƒ= K/o=∞ is a pure action at distance.

The consequences of this will be daring in all the conceptual analysis of all the scales of reality, determining the inverse arrows of the 5th dimension: the larger scales of gravitational forces who do NOT carry internal information are however able to control externally and locate with perfect motions all its lower scales. So when you move your hand, all your lower scales ‘act at distance’ in simultaneity, with infinite synchronicity. But Information does have limits of speed to code and reproduce its forms, in other systems, so genetic informative preproduction is far slower. We say that motion from upper to lower scales carries no information except the motion-distance itself and it is synchronic with no loss of order (entropy in the old jargon), and vice versa, information from lower to upper scales reproduces with no loss (entropy), but has a limited speed.

Or in even more profound metaphysical terms, we say that ‘present’ space co-existence is proper of upper motion scales, the larger spatial action at distance relative pure space motions with no time, but information reproduction implies ‘expenditure of time’, reason why indeed time and information are so closely related, and space and no-time processes of motion and expansion of space are also closely related. From these facts we do obtain the equation of death by entropic expansion in space in no time: Death = max. Sp x Min. T (death happens in a single time quanta) and its inverse, life arrow, Life=Max. Tiƒ x Min. Sp. Life happens in a long time but consumes little information and happens in systems in relative rest motion, specially when the fetus evolves.

Thus we do have the reproduction of energy and the reproduction of information as two different parameters, quite ill-understood in the fog of modern physics (but hinted at in many comments and equations).

– So now we do have the 3rd fundamental physical parameter: Se x Tƒ=S/T, or existential force-potency of the being, all related concepts which basically give us the capacity of the system to interact efficiently with the outer world. I like to call it the Predator Force, as it determines who wins in fights for existence of any kind of species.

In that sense, in biology means to have a perfect head and a perfect body, which defines the top predator. In physics it is often similar to the momentum when we take Tƒ as the active magnitude, and Sp, and the ‘distance-lineal speed’ of the being. And indeed the physical system with maximal momentum survives better in collisions, so black holes that traverse stars with less momentum devour them.

Now those 3 constants are maximized in the ages of the being, in youth, the Maximal spatial value, in old age the maximal density of information, in the mature, adult age, the balanced existential force which gives us the reproductive age of the being, dominating its environment where it seeds its offspring. In physics, they are the ‘stationary points’ of its young, energetic, Max Se, adult Se=Tƒ and max. Tiƒ, ‘stationary points’ of its world cycle or ‘Hamiltonian’ (in physical system) the most important in time.

In physics this set of 3 laws are tremendously important for each species, and for a full description of the system, they must be coupled with the 3 ‘Universal Constants’ of the larger ∆±|2| worlds in which the being exist.

– UC, so those are the Universal constants, in which the external actions of the being will be displayed, which therefore will come constantly in our equations. In physics, as we are thermodynamic ∆-beings sandwiched between the ∆-1 atomic and ∆+1 galactic gravitational world, those essential constants of the larger and smaller world that come in almost all the equations of interaction between thermodynamic man and reality are graphed in the next picture, as functions of Time and space, and its integrals of Energy, AND BELOW in the Universal Units, void of human anthropomorphism (Planck Units):

klockScreen Shot 2016-07-07 at 12.49.53

Now to fully understand the meaning of physical equations, before its thorough study through its different scales, we must understand the previous equations and its meaning, as they are void of human interference in its measure, and further on, show that instead of the 3 human ‘parameters’, mass, length and time of current physics, all can be studied with the 3 equivalent but not equal parameters of the Universe, G for mass, c for length and h for time.

So this is the first thing the system reveals to us. In the Universe time is cyclical and measured through angular momentum, of which the simplest unit is h; the constant of universal information, in the Universe space is measure with speed (space in motion), whose fundamental unit is c-speed, the constant of universal space. And so it only rest to consider that in the Universe, the 3rd element which is the active magnitude of the scalar 5D being is measured with the relative unit of curvature/force/5D metric value, which in the Universe is G and Ke in the equivalent lower scale of reality, and in the remaining thermodynamic scale, H-Boltzmann, the entropy unit. And this transversal constants of the 5th dimension close therefore the fundamental units of realty from where all others can be derived. (whereas 1/4πeo=Ke is the unit that should be used).

No other constant is fundamental to the Universe, and those are also enough constants to express in 5D physics all what exists, regardless of the specific world (human physics) that observe that Universe.

So the first and obvious truth we observe is the difference between 5D fractal space-time and the human continuous single still space and single time clock of the Universe, and its single scale.

As we have already considered the meaning of h, G and c in certain depth in the 0th and 4th isomorphisms – the actions of physical systems, it is easy now consider a few more details, on the difference between human perceptions and Universal perceptions of the 2 parameters of reality, Tƒ and Sp, Let us be clear, the Planck units, subject to much speculation are REAL. They are the maximal and minimal quanta of different scales of reality, such as a new scale quanta is made of a social gathering of smaller quanta, regarding time clocks that slow down or accelerate in frequency and space units that grow and diminish in size, and its ratios that define the different planes of the 5th dimension.

So as we advance in the III part of this section, studying each scale we will consider in more detail the consequences of this insight – that space has a fundamental constant c, information, h (a quanta of time) or h/2π, a ‘radius’ or bit of the minimal quanta of information, and its combinations into space-time clock-like vortices (M g, Q k), vary with the scale of the 5th dimension we study.


Now, once the 5 key isomorphisms of Reality are studied in detail, It is left to apply to that generator equation the Universal Constants or ratios between the different ‘parameters’ of that equation, to start resolving the equations of physics; of which the most obvious and important will be the ‘Constants of 5D planes’, finitesimals of each of those scales of three types, Tƒ/Se: informative densities, Se/Tƒ: energy densities and Se=Tƒ, Action constants. They define the 5th dimension in each plane, studied in the next isomorphism. So here we just consider the 4 more important:

Tƒ/Se: Constants of informative density or ‘Curvature constants’: ∆-1: Q-constant of charge attraction≈curvature; ∆+1: G-constant of mass attraction≈curvature; which obviously are the origin, when considering in ‘isolation’ as Tƒ, of the ∆-1: e: constant of charge of the electron and ∆+1: mn: Constant of mass of the electron.

5D metrics= SexTƒ= K, which defines the Constants of action: ∆-1: quantum plane: h-Planck (‘Planckton’)= E x T , which translates 5D metrics to the Electromagnetic & Atomic Plane and…

∆: Thermodynamic Plane:   k-Boltzmann constant (‘Bolt)= E x T, which translates 5D metrics to the Electromagnetic & Atomic Plane.

And finally Se/Tƒ: Constants of energetic Density or ‘speed constants’: ∆-1: c-speed, constant of motion of the light space plane, which being the Se-constant for the entire Galaxy in which our system exists, it is the only constant of energy-space or ‘rod of measure’ of all the systems of space we perceive.

The Lagrangian and Hamiltonian: the worldcycle of physical beings.

For all what has been said, and the definitions of present waves, v= Se x Tƒ, particles, Max. Tƒ/Se and fields, Max. Se/Tƒ, we are coming to understand 3 fundamental definitions of T.Œ for all sciences: the 3 ages of time in terms of the Se and Tƒ parameters:

Max. Se/Tƒ = Young energetic state (∂L=0; +∂’L); Max. Tƒ/Se= Old, future state (∂L=0; -∂’L); Max. Se x Tƒ (Se=Tƒ): (∂L=0; +∂’L=0).

Those 3 points which in the Lagrangian-Hamiltonian expression of ALL equations of physics represent the 3 stationary points of value 0 in the Lagrangian and maximal and minimal or 0 values in the Hamiltonian are the 3 points in which any System of Nature varies along its worldcycle. In physical systems however, the back and forth motion along those 3 points can clear a 0-sum time-loop that repeats itself constantly without the apparent need, at least from the human perspective of 2 Lorentzian regions in which the system breaks down:

Screen Shot 2016-04-05 at 23.44.55

In the graph we can see the interpretations of those 3 points, the Field in ∆-1, of Max. Se x Min. Tƒ, the wave of present, of Spe=Tƒ and the particle of future of Max. Tƒ x Min. Spe, with the present wave in the center. I call this graph the Lorentzian-Newtonian-Kelvinian (ab. LNK) graph as it represents in our Universe the 3 natural limits of existence of forms in the 4D present pace-time described by special relativity, the region of max. entropy when particles accelerate towards c-speed dying away, the region of present balance, or liquid/wave states an the regions of maximal information closer to Tƒ perfect vortex super fluidity and 0 degrees.

The 3 regions thus establish also a clear difference in the regions in which information grows, towards a higher ‘plane of existence’, in which the particle reaches its maximal form (collapse of waves into particles, when coming closer to the ∆+1 œ, such as when photons collide with electrons or electrons collide with atoms or atoms with molecules and so on.

The graph thus explains many elements of physics. It is ultimately a graph that represents and explains the power of the Lagrangian-Hamiltonian formalism that localizes those 3 ‘canonical solutions’ to physical systems and planes of existence, where the field quanta, the wave state and the Entropy element appear. Now in physical terms the wave will be defined by a wave equation:

Present = Se x Tƒ = S/T=V in lineal time notation or wavelength x frequency = Speed

The particle will be on the other hand defined by the density of information, Tƒ/Se = K, which is a fundamental parameter in all scales of reality; and we shall observe immediately that relates to the constants of curvature, G and Q in the equations of force : G, Q ( e x e or m x m /d2)

And the field will be defined by the density of energy Se/Tƒ = K, Se x Tƒ = K , E x T = K, which are the constant of actions of the two main fields of quantum physics (H=E x T) and Thermodynamics K = E x T.

Thus we resolve here the meaning of those Universal constants, beyond the ‘Germanic, idealist’ definition.

In that regard we can establish as the fundamental parameters of the Human World, the constants of energy density of the quantum and thermodynamic fields, H and q, the constants of informative curvature/density, Q and G, and the constants of Present Speed, C.

Now those are the constants of the Human word, which is NOT the whole Universe. This must be clear. And certainly while in the previous article on cosmological systems we have studied further beyond the Human Universe the dark world, there is no reason why to do so in this post on the atomic and molecular matter sales of human beings.

It should be noticed that there is ONLY a constant of speed-space, c the constant of light because WE are created in a pyramid in which the minimal continuum is light space-time, from where the symmetry breaks, that is quanta evolve socially into larger systems.

8th isomorphism: 8 motions of space-time

Worldcycles of existence.

The 8th isomorphism WrapS it all together. So we have for any individual being, all the information that establish its world cycle of existence as the natural order of its 8 motions in time (±∆ST), whereas we add the motion of dissolution and death, which is not internal to the being, and hence it is not seen as an action of existence, but imposed by the external networks and cycles the being performs for the higher ∆+1 system.


time cycles

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

Screen Shot 2016-05-04 at 10.28.43

In the left graph, all time cycles return to its origin, creating a circle, but physicists uncoiled them and put all those revolutions one after another creating the concept of Lineal time – an artifact of measure, and equalizing all the different clocks of the Universe, all the different cyclical actions of its species with a single ‘time clock’ elongated into an infinite duration.

In the right graph, Galileo’s principle of lineal inertia, derived from his worldly profession. Galileo in fact created lineal time, because he was an artillery master for the Venetian arsenal, earning 1000 golden ducats, an astounding sum for the age, with the job of finding the longest lineal possible trajectory for canon shots (which he found to be alas! not a line but a parabola.

But that didn’t deter him, from proclaiming in his first book called ‘On military instruments’, that his discovery of lineal time would be  ‘…of great use to artillery masters, and a delight to philosophers’. It was a worldview that ratified the religious paradigm of Abrahamic religions, in which man had a lineal manifest destiny of progress even higher than that of God, the mind of the Universe, since ‘he was created in the beginning – hence before God himself – above heavens and Earth’.

Now we shall return to the proper definition of time and space in simple terms, from where we shall derive much more meaningful truths about reality:

‘Times are cyclical, closed motions. Spaces are lineal, open extensions’.

The concept of cyclical times is not new. On the contrary, as it is evident in the left picture that all time clocks are cyclical, repetitive; the true mystery is how humans are so ‘dumb’, as to deny it in the modern age. Since all Asian cultures, and all western cultures till Galileo, did believe in cyclical times. The word in fact still lingers in the names of our newspapers: ‘The New York Times’, ‘The Times of London’.

Moreover science would not exist if times were not cyclical as ‘scientific laws’ are merely the repetition in time of patterns of behavior and causality. So to deny cyclical times is to deny science, logic and objectivity. But it also means to deny the fundamental particle of the Universe – a being made of space-time cycles that ‘thinks, therefore exists’ as a world in itself.

Once this is clear. We shall state the obvious fact that a line is a small step of a cycle. This Kepler already said it, geodesics proved, pan geometry reaffirmed, and the experimental evidence was provided by Relativity as special relativity (lineal) was found to be the limit in empty space-time of General relativity cyclical, which is the limit in a single plane of 5D of ∆ST.

Further on the second great reduction of physics is the study only of external locomotions, one of the 6 motions of the Universe. And this has also established clear limits in mathematical physics. So we shall recall for those who didn’t read the introduction:

Aristotle vs. Kepler: The 8 motions of timespaces and the 2 fields of mathematics.

Now on the realist view, mathematics should always be referred to samples on the sciences in which it applies, and to the only science which is above it – T.Œ, that is the whole mental=mathematical, Organic= bio-logical, causal=logic properties of the Universe. So we bring always two checks to mathematical statement from below – scientific experimental proof and from above, T.Œ, even more generic laws, and discharge models of mathematics which do not conform with those 2 above and below realities.

Why this is necessary is due to the inflationary nature of languages, and the still-bias of all minds to fix ‘time-motions’ into space-forms, that are seemingly more durable, more truth and occupy less space.

This fact also plagues the errors of mathematics, among which the most obvious is to consider dimensions only as form, not as motions, and try to construct dimensional beings made only of spatial dimensions.

Another error is to misunderstand in its application to physics and all sciences the cyclical nature of space by a single lineal external time motion. This error proper of physics however cripples into many methods of mathematical equation-solving notably in the fields of analysis, so closely intermingled with mathematical physics that cannot be distinguished.

And also in a field, whose philosophy and justification has always been faulty – the field of probabilities and causality of time processes associated to it.

And ultimately in one field which is essential to reality mathematics does handle properly in many methodologies but needs a far more profound foundations: the dualities and transformations between space and time states in beings. So for example, a population in space is handled with the same Gaussian curves that a probability of events. Why is that? why populations in space distribute as events in time? This is a deep thought. Why topological methods allow to resolve algebraic equations? And so on. In that regard mathematics fascinates the ‘dual-thinker’ who understands the symmetries of space-time, as mathematical methods have this duality embedded in the very same structure of its systems of equations, theorems and postulates. 

It is thus important to have a general introduction to the nature of reality, taken as usual from the first line posts, to ‘place’ mathematics in the context of reality, starting by understanding a fact missed by all minds, and humans in general:

“Time dominates space, motion dominates dimensional form, cycles dominate lines, organisms dominate mechanisms’

The Universe is made of infinite motions, which can be perceived by the principle of relativity (‘We cannot distinguish motions from form’ Galileo->Poincare->Einstein), either in stillness or motion.

And this allows ‘carefully’, knowing what we do, to apply spatial methods to resolve motion problems and vice versa.

Thus beings have 2 components motion and form. What is form in stillness, will be studied in detail. What is motion, was first defined by Aristotle: a change in the form of beings.

There were then mostly organic changes of generation, growth, evolution, diminution, extinction, and a 6th lesser important motion, translation in space, which physicists study.

But this is only one of 6 motions, reason why physics cannot be the science of all sciences, as it merely studies those systems which realise multiplex external motion inn space. And it makes of this ‘concept’ of single external lineal motion, brought about by the use of Cartesian ‘Universal coordinates’, the only reasons of science.

This truly limits physics in its scope.

Further on by the reduction of all time motions or ‘changes’, which already Aristotle, the philosopher, classified in 6 types, ‘conception’, ‘change of internal form or evolution’, ‘extinction’, ‘growth in size’, ‘diminution’ and ‘locomotion’ to a single time motion ‘locomotion’, today called ‘translation in space’, physicists reduce time to a parameter that measures exactly and only that – translations in space.

And that would be Ok, if they acknowledge the other forms of time-change as relevant to truth. Yet when Kepler found the laws of locomotion of stars he affirmed, ‘God has waited 5000 biblical years to find an intelligence like his to understand his clockwork’. So for Kepler all knowledge was to know, F=ma.

Now, as Physicists call its Theory of Locomotions, the Theory Of Everything or T.O.E, we shall call the theory of Philosophers of Science, which includes ALL the 6th Times motions of the beings of the Universe, a Theory of the Organic Everything or T.Πas:

– it includes all things, and all motions, among which the most– 5 of them – have an organic nature (generation, evolution, growth, diminution and extinction). So we consider the not even found T.O.E, an inorganic simplex, description of physicists with a single lineal time motion a ‘limiting’ reduced version of the larger T.Œ.

Further on as all modern developments in mathematics and physics consider lineal inertial systems, just a short small view of cyclical, accelerated/decelerated systems – such is the case of the pan geometry of Lobachevski, where only for reduced distances space is Euclidean, becoming exponential, hyperbolic for larger ones; of the study of General Relativity and the motions of the galaxy at large scale, where all motions happen in an accelerated galactic vortex, towards its center; in the study of fields; in the study of fractal spaces; in the study of Earth geodesics that only in short distances become planes; in the study of life cycles that only in small moments become invariable, in the study of the theory of Lineal Functions and Analysis, where only in short distances a curve function is approximated by a lineal tangent, etc. etc. we shall consider the lineal concepts of time and space, a limit of a much larger cyclical view of the Universe.

The Philosopher of Science vs. The Physicist. Newton vs. Descartes & Leibniz. The 3 elements of all Systems.

Finally the 3rd fundamental reductionism of physical mathematics, soon spread to the understanding of the whole discipline, was the confusion of the Human world represented by the Euclidean geometry of the Cartesian plane, which merely shows the 3 perpendicular dimensions of light space-time, as the only mind-world of the Universe, contradicting the original analysis of Descartes, which precisely introduced the cartesian frame in a book called the world, and affirmed a ‘devil’ had put that mind of the many possible ones on his brain, ‘cogito ergo sum’, in light space-time thus define only the human mind, not the infinite pangeometries and different minds of the Universe.

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

So Descartes, contemporary of Galileo, and the true founder of modern science with his ‘Method of reasoning’ and the Frame of Reference of the mathematical mind, said that all what exists was made of:

– Open space, which he called ‘res extensa’.

– Closed, cyclical times, which he called ‘vortices’.

And then he added a 3rd element, the final stroke of a genius unparalleled since the times of Aristotle; after realizing that the only proof he had of the existence of those vortices and res extensa was, the fact that he perceived them: Cogito Ergo Sum. ‘I think therefore I am’.

– The mind or 0-point, the relative frame of reference that mapped the ∞ cycles of time of the Universe, reducing them to a ‘World’, to fit them into the infinitesimal volume of the brain.

They think thus they are. The equation of the Linguistic Mind. The difference between worlds and Universe.

Descartes though was not a simpleton. He was fully aware that what he had in the mind was not the whole Universe, so he expressly stated the fact, differentiating the ‘world’ of a human mind, from the infinite other worlds that exist outside, establishing in his little known book, the ‘world’, this difference, affirming that his ‘Cartesian Frame of reference’, was only that of the human mind:


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: Ø=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 3rd 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.

The point of view thus becomes the essential element of the mathematical mind-world, which will measure geometrically from its perspective, in any of the 3 ternary frames of reference corresponding to the 3 geometries of reality, the cyclical polar frame, the hyperbolic,, and the Toroid planes, the rest of reality.

We thus briefly will introduce the 3 elements of the Universe, its time cycles and motions, its topological ternary spaces, its 5th dimension and then get into the ‘core’ of this post,the development of i-logic geometry and non-se algebra. And the translation of 2000 years of maths into their laws.

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’.

Now it is important to notice the survival consequences of confusing the mind of man with the entire Universe, because it completely shuts off and increases enormously the ego-paradox:

“Every infinitesimal point of view confuses his world view with the entire Universe, considering himself the centre of the whole Universe, when it is merely an infinitesimal fractal mind, watching an infinitesimal quantity of the information of reality’.

This was therefore the immediate effect of the error of Newton and its absolute space-time graph, which has been carried on through Relativity, and its absolute belief that c-speed is the limit of all speeds, space-time a single continuum and reached its paroxysm in modern mathematical physics, where Mr. hawking invented imaginary black holes travelling to the past, string theorists invent 10 up to 500 Universes and so on.

Of all those imaginary creations of the ego-mind of man, the most dangerous needless to say is to consider that the creation of a baby black hole, the most powerful species of the universe here on Earth will poise no risk for mankind because it will ‘obey the imaginary mind’ of Stephen… King? because the outcome will be indeed a terror movie.



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.

And this 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.

The Galilean Paradox. The principle of absolute relativity: minds cannot perceive together motion and form.

The duality of motion-distance is similar to the way we see a car moving in a night picture as a fixed line, or the stop and go duality of a film projector, which is perceived as motion. And it has deep implications, which help to resolve many uncertainties of physics. The next graph illustrates this and other dual paradoxes of endophysics –motion vs. stillness; continuity vs. discontinuity, single space vs. fractal scales, all of which depend on the detail of the observation – hence the quantity of information we have on the object we study:


In the graph, Saturn’s rings, first observed by Galileo, seem continuous, still and bidimensional from far away; but observed in detail they become discontinuous in motion and made of 4D spherical particles.

Moreover, what appears as a single space-time continuum in detail becomes at least 3 scales: that of the rings with cyclical motion, of its particles, the rocks that turn within them and the not seen but known scale of atoms that create the solid networks of those rocks. The ‘present’ state of science deals mainly with the single space-time continuum of the more ‘obvious’ human scale studied in terms of ‘present’=differential motions, ∂t, with minimal latitude of time. The 5th and sixth dimensions deal with a longer duration from the absolute past (birth of the entity) to its absolute future (its death), when evolutions of form, frequencies of multiple actions and cycles of creation and extinction happen.

The Paradox of Galileo – ‘why if the Earth moves, we see it still?’ – is the key question to understand the meaning of dimensions, which can be generalized to all forms: ‘why we see reality still, if all what we study in the quantum scale has motion?’

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

Space and Lineal motions. Information and Time cycles

And so we need to differentiate between ‘lineal motions or lineal momentums’ (|-Sp) and its still continuous perception by the mind, or space (|-Sp), and cyclical motions, clocks of time, (O-Tƒ) and its still perception by the mind or information (It)’.

Since they are the 2 reverse sides of the same coin, we shall use the same symbols, merely inverting their order, and call them Spatial Extensions-Entropy-Energy and Temporal Form-Information, fully aware that humans used multiple different jargons and concepts to express the same, Es and 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:

– Tƒo: There are cyclical vortices, which are accelerated motions-states-forms. 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 let us 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:

Sp-entropy and Tƒ-time information

In the graph, the bidimensional nature of time cycles, divides the 4 dimensions of time-space in 2 ‘formal motions’, tall, cyclical time, which carries the information of the Universe in the form and frequency of its cycles (as the n-sphere has the maximal volume in minimal space), as such is the gauging ‘particle-head on top of all systems (so photons stay longer on top of the wave, your head is on top, as an informative mammal, with the dimension of height, eyes and cameras are spheres and antennae are on top, so are speakers: function is form) and wide, lineal space planes, which are the most extended fastest distance between points so fast ‘planes’ are… planes, limbs and fields are planes.

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, 3rd ages).

And then every 3 space-time symmetries that fill up a plane of the 5th 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.

So why we talk of 4 dimensions in standard physics, with a ‘signature’ of +, -, – , – whereas + is a time dimension and – means a space dimension? And further on in any bigger dimensional model physicists will always write a ‘signature’ of +, -, -, -, -, ….. , -. Simple, because they have no idea what to do with ‘time’, what a time dimension might mean, stuck in a single lineal time duration and entropy, spatial time dimension. As they have deformed time into lines and never got back and look at what they did, but accumulate deformation upon deformation, and now the ‘hump’ paraphrasing Nietzsche is so huge that there is no lion able to cut it off and run faster.

Indeed, even the + in Einstein’s Relativity is NOT pure time, but ct, and since c is a speed, hence v=s/t, really what we write here simplifying the concept is ct=s/t x t = s, ‘eliminating time properties’ and making it lineal space-like. We analyze in depth many ‘times’ this spatialization that kills ALWAYS the 4 features of time cycles on the physical discourse: to be cyclical, hence to be repetitive and so causal reason of the repetitions and patterns we call laws of science, to break space into fractal inner vital spaces and outer regions and to be bidimensional at least to close the cycle.

Simple, the combination of bidimensional fields of energy and information creates a holographic Universe of space and time:

Past-Sp>Future-Tƒ: field>particles.

Or the superposition of layers of bidimensional ‘present’ wave-bodies create a ternary dimension, with a 4th dimension of motion:

∑ bidimensional (space or time) layers -> 3 Dimensional (space or time volume or flow) -> 4 Dimensional (volume of space with motion, flow of time with form)/

Space as expansive, decelerating entropic field-motion and time clocks as cyclical accelerated motion are 2 concepts akin to Descartes’ ‘Res extensa’ and ‘vortices’, which he considered rightly to be the two formal motions of the Universe are thus the ultimate poles of physical existence.

WE DO have though here 2 ‘symmetries’, which constantly are used to explain reality. The dual symmetry of cyclical time clocks, accelerating inwards, and expansive entropy decelerating outwards.

But then we shall also consider the still vs. motion ternary symmetry between space and time: Sp-fields/limbs <ST-body waves>Tƒ-Heads/particles, perceived in simultaneous spatial stillness or temporal flow.

Yes, we know them so well, intuitively that before physicists reduced time to what the clock measures and not even that – we learned to talk to describe them. So we invented ‘verbal times’ to explain the 3 dimensions-motions of time: past, present and future.

What is the difference between them? We shall soon get to it. But first we must resolve the implications of a time described as a cycle. First the obvious: if time is a cycle, there are infinite times, and what physicists call lineal time, absolute time, is as Leibniz, the philosopher said to Newton – well not to Newton, who would not receive him, but to Clarke, a ‘friend of a friend’ – is just the pegging together of all those finite time cycles. Next, if time is a cycle – and here is where the insights of Einstein have its value – we can SEE time, as long as the cycle is fast enough to close in less time that the eye takes into seeing. So all ‘time cycles’ that close in less than the second the eye takes into make a ‘still picture’ of the Universe.

And this brings us the solution to the second Principle of Physics: ‘e pur si muove, e pur no muove’. The relativity of all motions, which can not be distinguished from stillness, when the cyclical motion is fast enough to seem a solid form in the case of closed time cycles, or when we are moving along the frame of reference of the other motion with the same ‘spatial lineal speed’.

So in the same manner that Mr. Einstein built his Relativity on the aforementioned principle, (only referred to lineal space, as he never understood cyclical time), we shall build a much more rich meaning for the Universe, on the aforementioned principle, based in the duality of cyclical time forms of information or time clocks in motion and lineal space forms or distances and line motions.

The reproduction of Motion dominates the perception of form. A Universe of repetitive actions of energy and time.

Now, it is important to understand that the Universe is made of ‘Energy and Time’, ‘Lineal and Angular momentum’ Motion with form. But motion dominates form. Even if the mind things otherwise because of the Galilean Paradox. The perception of time and space as a moving cycle or line or a fixed form or distance is obviously an effect of the mind. It is NOT there, it is the mind that stops time cycles and lineal spatial motions.

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

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

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

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

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

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

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

Thus as always the simplest proofs of the properties of space and time, which is essential to the structure of the Universe, will be logic and mathematical. Of this, already the Greeks took note, as they could not calculate easily a cube volume from 2 cubes. The fact is, there is not superposition of tridimensional cubic forms: X3+Y3≠ Z3. And there are NOT numbers of 3 elements, but only single numbers, bidimensional numbers (complex numbers) and quaternary numbers (quaternions) albeit without commutative properties. An interesting property for more advanced courses on i-logic mathematics. So systems are constructed through bidimensional parts, which have space and time functions:

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

The symbolism for the holographic Universe of bidimensional Space & Time.

Sp, (|-Spe) will be a parameter of Size or lineal, planar space when perceived in stillness, or entropy (also denoted in mathematical physics by the symbol S) defined as an expansive, decelerating motion, when perceived dynamically – which increases the ‘space’ or res extensa of the system, decelerating to a halt.

In geometry space is a Space Plane, a bidimensional geometry, such as h (bivector of angular momentum) or c².

In its complete description sometimes we should write |-Spe, for Lineal motion-form, Space Plane, Past, Entropy and Energy arrows, when considering the 5 fundamental perspectives, or isomorphic laws encoded on the bidimensional space elements of the Universe:

To be lineal, toroid in mental, geometrical form (|); to be ‘Space, res extensa’; to be a ‘bidimensional flat plane’, to be the Past, dead arrow, hence to be entropic disordered motions in terms of functions and motions through the 5th dimension, and to be ‘kinetic energy’ in the Present ST-plane.

will be a parameter of cyclical time, which increases its cyclical speed as it becomes smaller. The full name would be ‘Tiƒo’, from those 5 perspectives, as Time cycles are ‘Ti-me’, ‘i-n-fo-rmation’ from the perspective of its fixed form and transference through the 5th dimension; ƒuture, old age, from the perspective of the worldcycle view – as the last age before entropic death, and o in its cyclical clock-like vortex form.

In geometry is a cyclical imaginary number that grows in the height dimension, ‘sucking in’ and therefore shortening by an inverse i=-x², quantity.

And we know there exists as social numbers (point planes and networks of the 5th dimension) do have this form. So imaginary numbers so called complex numbers have an i-sucking, negative diminishing X-dimension, of height that forms the temporal cycles, which are for that reason better expressed in exponential numbers, E Θi, whereas the number is elevated to the angular i conjugate.

So the reader must see sometimes, specially in non-corrected old graphs, any of those combinations – the most likely an E for Entropy/kinetic energy for Space and an I, for informative Time. And its combinations ExI, as symbol of present:

– ST, will therefore be preSenT. We shall write it also as, ExI, since the present is dynamic and outside fundamental physics and Geometry in biological and social sciences, people use the concept Energy and Information most often with a wider, loose meaning similar to the two fundamental elements of reality.Then we can write:

ExI(st) as the function of existence in present time, which IS THE QUANTITY the Universe conserves, ‘Present’. Or:

STœ; in which the 3 elements of all beings, its spatial territories (the closest of which are its limbs and bodies), its temporal functions and cycles, and its point of view are present. Systems do become extremely complex in their symmetries and relationships to a point it makes difficult to realise what is the whole, and its parts, and what are its forms and functions, but ultimately through the understanding of the ‘isomorphic laws’ of all of them, based in the ternary properties of reality, they can be analysed in full.

Space and time, its inverted properties: Se =K/To

Now this 3 elements, ‘space’ considered submissive to time and its cyclical actions; and the sequential order of change from smaller past parts to larger, social wholes, needs to be formalised, but as it happens, it IS already formalised by mathematics, which studies precisely in its 3 branches one of those elements:

Spatial geometry studies the forms of space in a fixed, still system of coordinates.

Now so far we have said that time is motion and space is form, stillness. But that is not enough to describe them. So far we have considered the fundamental principle of science – the constant switch on and off between motion and stopping. But this can be represented easily with a hyperbola:

Screen Shot 2015-10-31 at 10.58.01

The graph shows the 4 quadrants of the hyperbola, that define the 3 existential functions of Space-time, as seen from the point of view of the subjective o-mind in the centre of the frame of reference. Thus we can talk of ±∆S,T functions for each of the 4 quadrant and use the graph to represent the oscillations of the ages of existence.

Consider then the positive gradient, and we can have a simple equation of the time-space duality:

Φ.  Time Motion= Constant/Space Stillness.

This inversion can be seen easily in the relationship between ‘lineal time motion’ and the ‘space’ and speed in space of the entity in motion. But it can be applied to many sciences – from the Laws of gases P(t)=C/V(s), also a hyperbola to the cycles of life and death. In that regard, there are in 3 curves to clear ‘sectors’, when we take Y as the coordinates of space, and X as the coordinates of time, making the ‘curve’ also an equation of ‘fractal speed’ which we latter explain what truly means:

  • Max. Spatial energy and Minimal Information, on the right side – the energy segment.
  • Max. Information x Min. Energy, on the left side – the information segment.
  • Max. Exi (e=i) in the central point of balance of the hyperbola.
  • Finally to notice that the perception of the hyperbola from inside, from the central point of view is as a cycle.

Now the fundamental law of the logic Universe is the inversion of space and time states, but perhaps more powerful is the concept of an eternal Universe, where time, motion never stops, it merely changes from arrow to arrow, from past to present to future as it continues its motion. Time never change, even if it brakes into infinite pieces and goes forwards and and backwards in each piece of space-time.

Relational space-time beings, fractal parts of the Universe, have two dual systems, one of entropy and one of information connected with a present-body/wave, which never stop the flows of time. Each part goes forward and bacwarkd in its life-death cycle and in each of its information energy, ±∆ absorption and emission, through its space-time action. And never cease to move.

ANGULAR CLOCKS AND LINEAL MOMENTUM IS ALWAYS CONSERVED, so are its integrations into kinetic, lineal energy and cyclic, positional, potential energy and the information it stores.

This, happens not only in physics, but in bio-chemistry, as Alan Mehaute proved in his fascinating ‘broken space-times’ with fractal geometry: once energy ceases (as in the life-death cycle), then information,wrinkles, curves the geometry of space-time in any scale of the reality. thus from Se>To, to To<Se, through Se=To, steady states, the reality of the 3 arrows of time, the Max. Se, Max. To, and Se=To, maximal, minimal and stationary point, proper of all hamiltonians and functions do happen and time merely switch back and forth or in parallel.

Thus we can reduce it all to a simple Logic statement:

 A.                                                 Times never stop their repetitive ±∆e,i,u actions.

Thus this is the simplest image for a wave of time for an action of space-time for a beat of existence – so  many things can be explained with it that metaphors would be infinite – as ALL laws of the Universe will be deduced from our simple definition of space and time, a go and beat motion stop gauge information move consume energy, absorb it (feed), stop, move absorb emit energy and information (reproduce)…

It is such a simple game that its first combinations do not fail to astonish us because we start to feel that after it logically, bio-logically it can expand into all:

  •  Max. Space x Min. Time, is the beginning of the hyperbola, which is our youth of maximal spatial energy and minimal cyclical information, but as we move through a point of balance when both, time and space are maximised (S=T) the adulthood, we go down into  Max. Time x min. Space, at the end of the ladder. We keep falling since birth down the ladder of timespace. And that is the meaning of life, a walk through the 5th dimension from relative past to relative future of our region of space-time. And the formalism, I have called it Æ, existential algebra.

The fractal generator: The symbolism of the ternary symmetry

All fractals have a generator feedback equation and the Universe is not exception.

Let us then write the fractal generator of time motions, the fact that time never stops, and it has 3 varieties of motions-forms that switch into each other ad eternal into an equation, we shall call the generator equation of the Universe. It merely states that |-Se<, past-entropy, >To future-information and its combined, ≈X present-repetitions, the 3 flows of time constantly switch into each other, ad eternal:  Se<=X=>To

Generators are dynamic, cyclical equations which constantly create slightly changed new ‘cycles’. As such they are periodic cyclical equations of the form X < = > Y, where obviously X and Y are symbols as in all ‘Universal grammars’ linguistic representations of the Universal Generator (mathematical jargon in Space-time) or Universal Grammar (Logic Jargon in Time-space). So what is the Generator equation of the Universe? Easy the inverse metrics of time and space, written as the metrics of the fifth dimension, shown as a hyperbolic graph, origin of the existential algebra of the Universe and all other equations:

Γ.   Universal Generator≈Grammar:  Se x Ti = Constant Space-time:  Se-Past<Present-space>Future-time

The many iterations, combinations, dual forms, inverse equations, derived metrics and symmetries of space-time originated by that equation will be enough to explain the meaning of it all. Trust me (-;


‘From one comes two, from two comes three, from three the infinite beings in existence’ Cheng Tzu, Taoist master. First full understanding of the world cycle of existence.

The concept of cyclical time is not new. On the contrary as it is evident that all time clocks are cyclical, repetitive, from your watch to the pendulum, from the orbital clocks of ‘years’ to those of ‘days’, to the frequency clocks of waves – there is NOT a single clock in the Universe that measures time, which has not a cyclical form.

Now, this even a 3 years old child understands. And yet humans no longer see time as cyclical.

The true mystery is WHY physicists first and by extension the rest of mankind denied it in the modern age. Since all Asian cultures, and all western cultures till Galileo, did understand that time was cyclical’). The answer is similar to the reason why around 4 billion human beings believe that an ass breeder of the Bronze age, who saw a bush burning and claimed he had heard God in the cracking sound of the fire, is considered the man who understood better ‘God’, the mind of the Universe.

Yes my friend, Mr. Wenwang – the highest mind of mankind in the understanding of the cosmos and its ternary symmetries. Have you ever heard of him? We are going backwards ever since, and we will return to that. Because it was only when I solved the 8 baguas and its equivalence with the 8 varieties of topological manifolds combination of the 3 basic toroid, spherical and hyperbolic varieties, which become the 8 sub-ages of times-space, I understood Time-Space and understood myself, my past, my future, my present and could tabulate all the species of all the planes of existence of reality, from the 8-manifold ways of mental space of Buddhism, to the 8-manifold octets of quantum physics, to the 3 and 8 sub-ages of life, to the 8 planets and the 8 notes, the 8 cells and the 8 vowels of all the games of creation of the Universe, 23 that is the number of all names, the branching of all species, and permutations…

So in honor of Mr. Wenwang, we shall now consider the 3rd of the symmetries of the Universe, the 3 ‘ages of time=change’, and then consider the modern version of time in physics in the last of our confrontations of philosophers of science vs. physicists.

Let us first remember the dualities of Sp and Tƒ, which are the ‘first’ simpler’ steps, needed to reach the ternary symmetries of the full ¬Æ structure of the Universe.

The key dualities of cyclical, temporal information and Expansive, Planar, Space

Now the key to understand the Universe is to understand the complex meanings and multiple possible perceptions of those 2 x 2 elements, its ternary combinations (as space-time), and its symmetries and antisymmetries (inversion of properties). So algebraically the representation of the Space-Time Universe is the hyperbolic function:

INDEED transcending the material reality of those 2 formal motions, the logic underlying truth of all this is the inversion of the two poles of the Universe:

Screen Shot 2016-05-06 at 00.20.15Screen Shot 2016-05-06 at 08.55.54

In the graph, the most important function of the Universe is the inverse function between Spatial expansion and Temporal Implosion in its infinite manifestations (in physics those laws are always of the type: Energetic information (ST) = Space quanta (H, k) x Time frequency (v, T). So we can easily derive the fundamental laws of quantum and thermodynamics and the meaning of its constants, with the left side equation (which the nuclear physicist will immediately identify with the decay rate of an atom, and the ‘entropic believer’ with the Pv=nKT law of gases). 

Its commonest mathematical function is the exponential, (1+1/n)™ whereas ‘1’ is the value of the whole system, n, the number of fractal ∆-1 cellular parts, and T, its temporal repetition, which defines all processes of growth and decay, in which in each time period the system grows or diminishes a space-quanta (hence its time derivative is always proportional). In that regard, one of the most fascinating elements of T.Œ is the enlightenment of the equations of mathematics, the MOST REALIST of all sciences, as it describes in its 3 disciplines, ‘fractal analysis’, Non-Euclidean Geometry, and ‘non-Aristotelian Algebra’ the common isomorphic laws of all species of the Universe. Time permitted by Summertime we will add a 4th post to this section, with the fundamental laws of ¬Æ, ‘i-logic’ mathematics’.

In that regard, departing from the duality of Relativity (all dimensional forms are indistinguishable from relative motions), we have 4 possible ‘entities’ according to the duality of form and motion or the duality of Cycles Vs. lines:

  • We shall call Cyclical motion, time clocks, which carry information in its cycles and frequency. So there is also:
  • We shall call Cyclical form, information.

And then:

  • We shall call Lineal motions, energies or entropies or lineal time duration.
  • We shall call Lineal form, space dimensions.

This order has given primacy to the duality of lineal and cyclical forms, and its Ø-wave like combinations.

And so the Universe conservers both cyclical and lineal motions & still forms:

  • Cyclical and lineal motions, that is, angular and lineal momentum, become then the main motions of time, which combine in∞ Ø-waves.
  • Cyclical information and lineal dimensions, that is spatial forms, which also combine to create complex organic systems with heads/particles of cyclical form that store information and lineal limbs/distances that process energy with its still forms.

Science is full of variations on those different symmetries and studies, and the interchangeability of both ways of observing the Universe to get the same results.

To stress though, that of all those terms, the most ambiguous is the physical concept of energy, which here we use sometimes as a synonymous of entropy or lineal motion (kinetic energy) in the common sense expression (I don’t have energy, you have too much energy), expressed as the capacity to move, and opposed to information, also a wider term than the restricted concept of Shannon in physics, more akin to the common use of information as forms that can be perceived. Hence related to form. As a cycle do have more form than a line.

Reality thus is a game of two elements, spatial energy and temporal information and its combinations and transformation, symmetries and species made with them.

We thus fast forward to the expression of the Generator, feedback equation of the Universe of space-time beings, which Galileo and Newton missed (but Leibniz, the ignored Genius understood with his concept of fractal space and relational time):

|-Sp (Spatial Extension: fields/limbs) <ST (iterative waves-bodies)>It (heads-particles of temporal information).

If we see those 2 motions as forms, we talk of lineal space and forms of information. If we see them moving we talk of kinetic energy and cyclical clocks of time.

If we see them sequentially, we talk of flows of time. If we see them co-existing in simultaneity, we talk of a simultaneous organism of:

Sp-limbs-fields<ST-Bodies-waves<Tƒ-Particles heads.

Since we ARE made of time cycles and lineal motions of space, perceived either as It: information, or Sp: space, in stillness, or Es: kinetic, lineal energy and Tƒ, cyclical time clocks when in motion.

This is the next huge advance of T.Œ, to know what we are made of: Es, energy and Tƒ, cyclical time, as when we say, ‘I don’t have energy any time to do this’, perceived in stillness as Sp-bidimensional planes of space and tall, bidimensional planes of information, It; where bi-dimensionality means a ‘thin sheet’ as the thin screen of information which you are reading this blog.

Physicists call this fact the holographic principle of Information. They wonder why black holes seem to store all the information its bidimensional surface. They wonder how space and time can mess in space-time relativity IF only entities with the same number of dimensions can mess.

So we shall soon consider those concepts in physics. But before we do so we need to introduce the third element that structures the Universe and orders all those time cycles and vital spaces – the 5th dimension of relative sizes in space and speeds of time clocks.

The separation between past, present and future is an illusion. The symmetry of time and space.

Now we are confronted with a problem, which is the enormous ambivalence of human languages in the use of those 2 fundamental words, space and time, and its ternary formal motions, Sp,  SxT: ST and Tƒ.

So we need to attach certain mathematical, geometric and logic concepts to our verbal terms to avoid so much ambivalence. Let us then return to Descartes and put some properties attached to those 3 symbols, which we advance ARE the ‘ultimate’ formal motions we care for, Sp, ST, Tƒ.

  • Sp or Spatial Extension, is ‘res extensa’, something extended in ‘space’. So it is a motion that expands in space, as in a big bang. And contrary to belief as it expands in space it decelerates in ‘time’ so it looses its ‘time motion’ till it becomes truly what ambivalent words tends to call Space- a still form. Thus space tends to slow down and extend itself; it does have motion but becomes finally a ‘flat’ extension.
  • or Informative time cycles, which carry the information of the Universe in the frequency and cyclical form of its cycles, is INVERSE in properties, as it actually accelerates inwards, as it becomes smaller, as all vortex do, V x Radius = Constant. Thus smaller radius, turn faster, as it happens with angular momentum, black holes or hurricanes. And they become ‘taller’.

So this shows some fundament facts of Sp vs. Tƒ. They are inverse. They are both FORMAL MOTIONS; but space has LESS of both; it is flat on the long term, and slow to stillness, and Time is faster and a cycle, which tends to be tall. So we can ask also define them by dimensions. Of the 4 dimensions used today, space tends to have 2 of them, length and width, and time, width and height. And so they combine in the ‘width’ dimension, which brings us the 3rd element:

  • Sp x Tƒ: E x I: Reproductive, wave-bodies that combine the entropy of space and the form of time clocks into ‘meaningful’, workable parameters, ‘energy’ (entropy with direction) and information (form with meaning).

So again, here we must focus in the ‘Duality’ between the Inverted ‘yin and yang’, ‘cyclical form and lineal entropy’, Sp and Tƒ, and its combinations that create the ternary ‘formal motions’ of reality, which will structure all beings.

And realize that we can see them ‘static’ and then we will call them SPACE, or we can see them in motion and we will call them TIME. This is the way to proceed with the ambivalences of words and as we shall see also ‘mathematical sciences’, which after all start with words.

The ‘reality’, which is not human words, is made of two inverse elements, ‘Entropic extensions, which are lineal, planar, and decelerate’ and ‘informative cycles, which are circular, and accelerate inwards’. And its geometric properties are VERY important, because lines and planes are more extensive and connect two points faster, and cycles are more informative and store more information in lesser space. So those 2 extremes are ultimately geometric motions, formal motions, and form, and motion≈ function are related.

And in the middle, there is a present, exi, merge of both, which is the most important element, the body-wave that combines cycles and lines, expansive and implosive motions. So we can then see this 3 elements in terms of ‘temporal motions’ or in terms of ‘formal space’, and we will talk of:

  • |-SpE: Past Entropy, lineal formal motions > Ø-ST: Present, repetitive, body-waves > Tƒ: Informative, cyclical time clocks.

Now we can SEE that reality and this is also VERY important, as a sequence of motions in Time, and it turns out to be the 3 ages of existence. Or we can see them as Forms in Space and they create the ternary structure of all beings of reality, physical, biological or sociological. So we break it in 2 equations:

  • The equation of the 3 parts of space (which we can simplify into Sp<=>Tƒ, for some systems), that relate the limbs/fields of spatial energy and particles/heads of temporal information of systems, combined into waves. So we shall talk of ‘fields-waves-particles’, which interact together creating ‘physical systems-organisms’ and limbs-bodies-heads in ‘biological organisms’ and ‘energy-class, re=productive class, and informative-class’ in social organisms.

And this simple ternary scheme will be enough to describe any system of the Universe, because on top of that the mathematical universe has only 3 topological geometries, lineal-toroid limbs-fields, hyperbolic body-waves and spherical heads-particles, and each of them is the perfect geometry form to the function of lineal motion (toroid/lines/planes), reproductive processes (hyperbolic systems) and informative processes (particles-heads that store maximal form in minimal space).

  • The equation of time, or the moving sequential flow of those 3 time motions which are in fact the origin of the 3 TIME AGES of all beings, dominated by those 3 ‘organic parts’, a young energetic age of constant motion, an adult reproductive age, and a 3rd age of information dominated by the particles/heads.



If we observe those 3 motions as ‘still forms in space’, they give birth to the 3 ‘ONLY’ topologies of our Universe:

The toroid, lineal entropic past-forms of limbs/fields; the spherical, informative, ‘future forms’ of heads/particles that DID guide the whole system towards its future; and its combined, hyperbolic, bodies/waves in the middle, that REPRODUCED the system.

Thus a deeper analysis of time cycles shows them to have always 3 ‘ages’, ‘phases’, ‘arrows’, ‘states’ or  ‘dimensions’:

  • < (symbol of expansion flow), SP: Past, entropic motions, dominant in the youth, with a toroid, lineal expansive form.
  • > (implosive flow), Tƒ: Future-form: a cyclical time vortex proper.
  • ≈ (symbol of iterative wave): ST: Present-iterative motions that don’t seem to change; or dynamic, body-wave motion

And this gave us the 2 ‘variations of the Generator which described existence in Time and Space, easily written as:

Time:   Sp (young expansive age) > ST(adult, iterative-reproductive age) ≥ Tƒ (informative age) ≤ Sp (Back to the past: entropic death)

Space:    Sp (Limbs/fields) ≤ ST (body-wave) ≤ It (head-particle)

Those symmetries correspond in space to the only 3 topological forms; hence systems can only be constructed with those 3 topologies that define as the graphs show all organisms and physical species.

The 3 arrows=motions of times.

Now I realized I could consider this ternary ‘reality’ in ceteris paribus analysis as 3 pure time motions. Entropic expansive motions, repetitive body-waves and informative, time vortices.

Suddenly I realized, I had solved the way the universe created its beings, from the mystery of quantum physics, (the so-called wave-particle duality, as all physical systems were wave-particles moving on an entropic, accelerated field), to the reasons why evolution always worked right, choosing despite its seemingly infinite options the few ‘efficient’ aforementioned topologies (so wings were flat energetic members, and eyes spherical ones).

Namely they were the only available choices of topology. Alas! Curiously enough the great ‘mystery of Darwinian biology’, which he had also wondered about – the ‘right choices of the seemingly chaotic process of evolution made sense, because after all there were a mathematical planning NOT of course a religious design. And the biggest Mystery of Physics (the complementarity wave-particle) also became resolved.

And this was to me the proof that I was indeed on the right path of T.Œ, because the 2 principles of truth, ‘Simplicity, Minimalism (Occam’s razor)’, and Correspondence (a theory proves previous ones besides bringing more solutions), were met.

Equations of physics and biological designs kept pouring into the model and finding its whys, fitting all nicely. Something scientists did not even try to understand merely describing it now had easy whys, in the ternary symmetry in time and space of the Fractal Generator of the Universe, truly the ‘Equation of God’, not a ‘Particle of God’, not a ‘substance’, but a Logic, mathematical Symmetry of space-time that created us all, the details of that ‘thought’.

But if we were made of time-space cycles and forms, of this ternary ‘Generator’ structure seen static in space as a formal organism, and moving in time as a series of cycles, it was necessary to analyze each of those 3 parts of all beings, and decide its inner structure and hierarchy.

Now, I am afraid we are going to refound also logic. I know I’m nuts. But what can I say. We cannot go further without a new logic, because if time has 3 arrows, then the simple A->Causes b does not work. It is more about ternary logic and symmetries in space, time and 5D. It is more about the GENERATOR fractal equation of the universe and its infinite variations.

So Non-A logic is a huge new science – the study of the symmetries between the 3 motions of time and its sequential ages and the 3 spatial forms and its organic parts. Its ‘Generator feed-back equation’ will be essential to describe all the beings of the Universe:

Γ.   Sp (young-past-entropic limb/field) ≤≥ ST (iterative, adult, present wave-particle) ≤≥Tƒ (future, informative head/particle)

Where the symbol < means an expansive, energetic motion, > an implosive, informative one and = a repetitive present motion.

All what you see is encoded by that formula, either in space, Sp<ST<Tƒ (whereas the limb field provides entropic motion to the ST wave-body, and the Tƒ head particle provides information, and the ST body-wave reproduces the system), or in time, Es>ST>Tƒ, its inverse symmetry where energy young motions slowly warp into the adult and finally old age of information.

So we shall maintain the classic concepts of science and talk of 3 space dimensions, while dividing the dimension of lineal time in the 3 motions of time that we shall call 3 ages, to keep the convention that time has a 4th single dimension:

3 space forms symmetric to 3 time motions, but ordered in different ways Sp<ST<It, and Es>ST>Tƒ, how simple and beautiful the world cycles of space-time reveal the essence of the Universe.

Those 2 simple laws, and its equations, the equation of the life-death cycle:

Es (youth)>S=T (maturity) > Tƒ (3rd age) << Es (entropic death).

Where > means an implosive, informative arrow of time and << and entropic arrow of death.

And the metric of the 5th dimension, the fact that the product of the size and speed of time of systems is relatively constant for different species of the same family (physical species, biological species) ARE the most important equations of science discovered since Relativity, and yet nobody was impressed.

Apart from explaining the life-death cycle, it explained the reason why information flows perfectly from lower scales (genetic scales) to upper wholes (since lower scales preserve more information) and there is however entropy, loss of energy when you move upwards, but when you move downwards, from wholes to parts, there is no loss of energy  – so your cells follow your hand.

Suddenly I realized those scales of size were symbiotic and organized co-existences and synchronicities that created organisms and physical systems.

And so in mystical terms, the 5th dimension the dimension of future, of information, as parts must come before wholes, was also the dimension of eusocial evolution, of love, that justified the messages of love prophets, the Darwinian love of survival of the species, not the individual, the organization of history in scales of larger social units, since the future, the whole was stronger than the parts and survived. So I found that besides the actions of motion, energy and information there was an action of social evolution in all beings. That was the program of the Universe, I termed with the 5 letters each for each action of the 5th dimension:

∆æ: acceleration-motion, ∆e: energy feeding, ∆œ: iteration, reproduction, ∆i observer’s gauging of information and ∆û: social evolution of parts into universals. This was the will of survival, which explained the mathematical space-time cycles of physics and Nature,  and history, which merged physics, biology and sociology

An entire Universe of whys to all sciences and harmonic laws was opening in front of my eyes.


6th isomorphism: The 8 motions of the universe.


The worldcycle of existence: travels through the 5th dimension.

Now as I was a poet of words, a painter of images, with my Sp: I=Eye<Wor(l)d: Tƒ, my spatial and temporal ‘human senses’ , my function of STi-ence, before I became a mathematician, I like to extract the deepest ‘genetic grammar’ of the English language, so you will see those ‘games of words’.

I think therefore I Exist. That was the title of my first short film (-; Present is all, it is existence in preSenT, to combine your spatial and temporal functions into energy and information. So you will see in some texts, the Function of Existence in present space-time, as an entity of Energy and Information, written as Tƒ<ST<Sp.

This is a deep word, Tƒ is your head-particle of logic < your flow of form and orders to your ST wave-body of energy and information, which exists in a field of space-time, St, where it will perform your actions.

So all it is resumed in the function of existence, To Exi=st is all (if we were to use the concept of Energy and Information as rough synonymous of space-time). The details of the Infinite Cycles of Existence of the Universe is what ExiStential Stiences do. Play with words. Do not think that only mathematical languages display all the beauty of the Universe, love and live with your human I=Eye<Wor(l)d, do art, believe in social love, the essence of the 5th dimension, BE HUMAN, because you ARE and your languages MATTER as much as those of mater do

So to fully grasp the 3 x 3 symmetries of the Universe, specially, the co-existence of several scales of infinitesimals into larger wholes I coined the concept of a super organism, each being a cell of the species – the super organism of the larger scale of the 5th dimension, which lasted more in time.

And man a super organism, each citizen a cell of mankind. I resolved then the meaning of Gods, the subconscious collective of a civilization, I classified them all, find their cycles of life and death, solved the 3 ages of its mental life, the 3 styles of art of all civilizations, the young epic art, classic and baroque informative age. And finally wrote the sequential equation of all time space world cycles of life and death:

Es: Youth (max. Spatial Extension) > ST: Adult, reproductive age > Tƒ-Informative, Future old age.

So the 3 topologies of space that formed beings have a sequential order, the 3 ages of life. Now we can always see a system in space or in time. And with any degree of detail. Let us then see some of the elements of the previous graph.

Let us see of those symmetries the 3 horizons of evolution of species, in its symmetry between spatial forms and temporal ages; starting from the earlier biological species, through the human being, ending in the Whole, the globalized planet, which contrary to all abstract, anthropomorphic descriptions of reality is NOT longer evolving us, human beings… as it SHOULD BE if T.Œ, the Organic paradigm dominated our world.

Each scale of size of the fifth dimension was then study by a different science, from the smallest quantum physics through chemistry to biology, history, Geology, astrophysics and cosmology. But only the metric laws of the 5th dimension and the properties of cyclical time could find the common laws of all of them, as all species followed a world cycle:  

In the graph, the meaning of life and death, a world cycle of time, which is similar for each physical and biological species, and its equation, in the ¬Æ, non-Aristotelian, Non-Euclidean Logic of the Universe of cyclical time.

In the graph, we have summarized all those scales and the 2 relative inverse arrows, which make a life-death cycle a ‘loop’ of time in 3 ages moving also upwards and downwards in the 5th dimension, origin of the ‘Generator Equation’ of 5D Fractal space-time, poised to become the most important equation of science in the XXI century, as it resumes its 3 elements, the motions up and down in scales of the 5th dimension, the 3 ages of time, dominated each one by the 3 parts of all organisms, which respond to the 3 only topologies of geometrical systems’ – the young energetic age dominated by lineal toroid fields/limbs of entropy of maximal speed between 2 points, the mature, reproductive age dominated by present hyperbolic body-waves and the future-informative age dominated by spherical particle/heads of maximal informative storage:

Γ. ∆-1: Sp (past-lineal, toroid limbs-fields) ≤≥∆:  ST (hyperbolic-planar body-waves) ≤≥ ∆+1 (spherical future particles-heads)

Whereas we introduce some basic symbols of 5D Metric, ∆ for the 5h dimension with an index for its planes, Γ, the G-enerator equation, which can be studied for each system in detail and for each part in new ternary fractal divisions, <, the arrow of expansive entropy, > the arrow of future information and ≈ =, the arrow of present balance, ST, the energy and information mixture of Sp: Spatial Extension and O-cyclical, temporal clocks with maximal form which body-waves mix in present states.

As both arrows can happen between entropic limbs-fields and waves, which move informative heads-particles and each part can be divided in new ternary parts (so for example your informative nervous system divides into a lineal spinal chord that controls the energetic body and limbs, your brain with a hyperbolic grey matter and your smaller eye, the focus of your information, making you an I=Eye (max. Information; Tƒ) < Wor(l)d=ST verbal brain: i think therefore I exist: max. balance, the site of your will and finally the spinal reflex past system of control of your external motions – that obsessive part of a system of time space physicists study so well, but so simple when you know the whole depth of time space (-;

The old age is one of information. ≈ means a repetitive, parallel wave of present, and… uh, where it is < the arrow of entropy? It SEEMS that all goes > warping space into mass, or ≈ repeating itself. Alas! What else there is there in the Universe after conception, young expansive ages, repetitive, reproductive maturity and old, informative age, which erases < entropically information to close the ‘world cycle’ of existence.

Thus for each world cycle of existence, Death is the final reversal of the arrow of informative time from past to future into the arrow of disorder from future to past or entropy arrow, <.

And to compensate the two arrows Sp> Sp x Tƒ (ab.ST)>Tƒ, DEATH must be TWICE << entropy.

It must be Max. return to Sp, Tƒ <<Sp; a huge big bang expansion of information into Space with no form.

Death = Max. Sp x Min. Tƒ= Sp->∞ x Tƒ->0.

So when you die in an instant of Time, Tƒ->0 all your information returns to space, the cycle of existence ends and you expand in space, burn into atoms in the incinerator; insects eat you up, dust of space time you become.

It is also the equation of the big-bang, when in an infinitesimal moment of time, the previous Living Universe, expanded wildly under the inflaton field to enormous distances, in a single Planck quantum of death.

See the beats of existence, of the 3 arrows of time, of lives and deaths, of opening and closing wings, entropy-form…

It is the combination of the 5th dimension of space-time and the 3 ages of life what solved that equation, as we ALL BEINGS ARE BORN on the seminal faster, lower scale of the fifth dimension grow fast and then die back to the lower scale.  And then I made to myself a big statement:

‘Existence is a worldcycle through 3±n planes of the 5th dimension’ (:

Indeed, Klein defined a dimension as a system, which had a co-invariant ‘space-time metric’, which allowed displacements through such dimension. And the co-invariant law of the 5th dimension, [Sp x Tƒ =K]∆±1, defined the existence of any being in the Universe as a travel through the 5th dimension, which implied a ‘growth in size’ (Sp), coupled with a slow down in its temporal clocks (Tƒ), limited to 3 of such planes; which created a series of ‘families’ of ‘world cycles’ (no longer world lines as in 4D physics, since now each time cycle had a new dimension of ‘height, and growth’).

So all beings are born in a seminal relative infinitesimal scale and grew larger, as they multiplied in clone cells and reorganize them into bigger wholes, from the quantum/cellular to the matter/organic scales (biological and physical systems), emerging as slower growing beings into the outside ∆+1 social, ecosystemic, gravitational world, to return back through an expansive, Sp, explosion into the moment of death.

So I wrote the equation of existence, of all world cycles of the Universe; as they are conceived, as points of pure genetic/ memetic/quantic information that reproduce, evolve, emerge as single beings, live 3 ages and explode in a relative big-bang death, back into a flat plane of space without motion.

The only difference between the beings of those scales was the size and length of the world cycle, as larger beings had slower time cycles and lasted longer, but all have the same subjective time existence – an insect beating 10 times faster and living 7 x10 years.

And each of those infinitesimals who become wholes, and live and die through 3 arrows of time, back and forth, could be described now properly with the logic, mathematical formalism, of all complex space-time languages, which reflected in its monad minds the fractal structure of the universe.

The 3 motions=ages of time and its parallel forms of space.

This always surprised me. How people could believe in a single infinite time duration if their ‘time cycles of life and death were all similar to those of all other beings and all were finite?’

Let us give you a first hint to what might be considered the most important sequential beat of time – the finite life death cycle of beings:

All systems are born as seminal seeds, including physical systems (crystals, black holes), growing, going through 3 ages and then dying away back to simpler forms. So they had to be made of finite time cycles which somewhat warped, wrinkled their vital spaces.

But T.œ requires topping the cake, with an eternal equation – why we exist? The answer is organic and obvious: to survive. As if we didn’t we would not exist. And then all comes to the question, how we survive? And this is an organic, biological question: providing energy and information to our ternary systems, and further on, evolving into larger, more powerful wholes, through the 5th dimension. And this simple truth is the program of the Universe.

It is interesting to remember the founding fathers of science, which ARE NOT the Mechanists of the XVII century but the Greeks who understood it all:

– Democritus said the Universe was made of atoms, and atoms had 2 qualities ‘MOTION AND FORM’. Yes, he didn’t see them so he went straight to the philosophical essence. This, Plato understood. And he divided motion into ‘biological motion or internal change’ and physical motion or external locomotion. He understood.

– Aristotle, the highest mind of the western decoupling, only comparable to Leibniz, went into detail and classified motions into 6 types, and it is worth to mention:

– Motions in lineal space, or locomotions, the only one physicists study.

– Motions in a time cycle, divided into ‘conception and birth’, change of state (internal form or quality motion) and extinction, dissolution.

– Motions in the 5th dimension, which he divided into growth and diminution or ‘motions of quantity’.

He understood without the need of telescopes and microscopes the essence of the Universe.

Yet if we consider a simple graph of those ages in terms of yin-information (broken, warped forms) and energy, yang (continuous lines), we will easily realize that the same knowledge was already in the Chinese-Korean traditional culture:

All systems are a sum of quantic cycles that absorb, emit and transform spatial energy into temporal information: nE<=>mT. That equation, decomposed sequentially in 3 phases, a first age of max. energy, a second age of balance and a third age of max. information, explains the existential cycle of any space-time field.

In a graph with energy and information coordinates those 3 ages resemble the geometrical form of a cycle that moves upwards, absorbing energy and information till in its 3rd age looses its temporal energy, collapsing back to its origin. On the right side, the same 3 ages show in the Taoist, Korean flag, where a line is the symbol of continuous yang-energy, which yin-time quantizes into ‘in-form-ation’, from youth to death.

The graph shows in the left the half-wave cycle of existence of all beings, with its final ‘cut-off’ back to the beginning in the moment of death – without a Present middle age.

So they are the ages, of Max spatial energy or youth, mature balance, E=T and old informative age of maximal temporal information after which a system dies away in a big-bang explosion or dissolution in the moment of death. In the right the Eastern Taoist symbolic interpretation of those phases

Unfortunately the 3rd age of time, and the whole time cycle must be considered an accelerated vortex, not a fixed steady state cycle. This small difference understood by Einstein which studied the laws of General Relativity and mass-cycles as accelerated vortices, and non-lineal geometries, are the key to fully grasp, those 3 arrows of time-life as a growing process of information, which ends uncoiling the ‘clock’ in death:

Screen Shot 2016-05-10 at 22.07.55

The spiral of time is thus an spiral towards a centre of maximal information, accelerated inwards. In physics it is the non-lineal equations of Einstein’s general relativity and charges, moving inwards, till in the 0-point, in the event horizon, the being ‘explodes its form, dividing its 2 fields’, Sp & Tƒ. Then the Sp-entropic field is absorbed and the Tƒ is spit off, as the Universe does conserve energy but it does NOT conserve information, the ego, the world paradox, which constantly is renewed and repeated – its conservation is in the long term, but not in any specific form. Themes those of deep consequences at all levels.


Thus we all have a finite existence, part of an accelerated vortex of time with the 3 ages of increasing frequency of form, till the reversal of time in local Space-past, with no ‘paradoxes’ of returning to a full time past that does not exist. It is the structure of the worldcycle:


All of us ST organisms live by travelling in growth through our vital dimensions, by growing in informative complexity through the ages of life, till all warped information in our 3rd age dissolve back to our ∆-1 cell state. In the graph, a 20 years old graph of the world cycle (E means Space-kinetic energy)

In the graph, we can see one of the first key differences between a ‘physical’ understanding of motions in a simplex Universe of 4 ‘spatial’ dimensions (where time duration is merely used as a measure of motion in space, v=∂s/∂t) vs. a ‘complex’ understanding in IST Dimensions, which included ‘changes’ in the proportions of ‘Entropy’ and ‘information’ of the being (arrow of life, from an energetic youth to a 3rd, informative age), and changes in the ‘size scale’ and ‘speed of time’ of the inner structures and clocks of the system.

The graph represents the worldcycle of life and death in a human being in I=TS IST Dimensions, as a system born as a seminal seed of information, in the cellular scale, i-1, which travels through the scales of social complexity emerging as an individual ‘whole’ i-system in the organic scale, and finally as a citizen, cell of society, to a higher, I+1 scale, God, nation or civilization, which will then, once the life cycle is over and all becomes information explode back into death, releasing that information as Entropy into the lower, i-1 scale of cells, ∑i-1, which will feed another worldcycle.

When physicists study motion in space-time, they reduce it all to a translation through space, in a time duration, which can be ‘∂erived’, that is, it is continuous without any remarkable change of state, for the system in the whole motion.

When we widen that description to a IST D motion, we obtain however a ‘worldcycle’, as the world line becomes more complex, curved in more dimensions.

Yet the main difference in what it means a translation in 4 Dimensional ‘Physical space’ and IST Dimensional ‘Complex space’, arouses when we understand that in Complexity, entities are made of Dimensions (Leibniz’s theory of relational times and spaces) while in physics, dimensions are a ‘background’ abstract to the being – a deformation of the way they were conceived as absolute space and time, with a ‘background paper’s artifact – the Cartesian frame of analytic geometry.

Thus to move in physics over a background artifact of dimensions is different than moving in complexity as you are made of dimensions, your self-dimensions as an IST Dimensional being move with you.

This outdated model of absolute background dimensions is thus replaced by a fractal model of dimensions:

Each entity of the Universe is made of a relative amount of ‘vital space’ and last a quantity of ‘time’ as it grows from its seminal scale to its individual and social scales, where it evolves and interacts with other similar entities. We are thus ‘vital dimensions’, we are made of them, their motions, symmetries and transformations.

And so all what exists follows the generational-life cycle

But if time had 3 motions, ages, and its ‘still spatial perception’ of them as 3 forms, we had to add new dimensions to the simple lineal 4th dimension of time. In reality it is all more surprising. The 3 dimensions of space as we shall see are equivalent to the 3 dimensions of time, in a fractal Universe made of infinite space-time beings, where we can see motion as still dimension.

Lineal time corresponds to a minimalist vision of a time cycle as Kepler said (all lines are small parts of an orbit). Since a line of |-space is in fact a small, ‘fractal’ step of a longer O-time cycle; which curves |-space into O-time cycles when we have a ‘larger perspective’ of the whole duration of the space-time-cycle, as non-Euclidean geometries prove.

Since also mental languages, topological forms, space-time dimension, all is generated by those 3 time arrows and its symmetries with spatial forms, it is not surprising that already Cheng Tzu would say, from one comes 2, from 2 comes 3 and from 3 the infinite Universe.

In fact the first understanding of the 3 ages of time between birth and extinction was understood by the Chinese-Korean culture, with its trigrams, or bagua, that describe the 9 sub-periods of existence of a being of space, Yang, __, and Time, yin,–, between birth and extinction, which divide the 3 sub-periods of time of all systems:

Young, spatial, energetic Age:

– Birth: 0-8: __, __, __

– Childhood: 8-16: __, __,–

-Youth: 16-24: __,–,__

Adult, balanced Age:

– Adulthood: 24:32: –,__,__

– Koine: 32-40: –,__,–

– Maturity: 40-48:- __,–,–

Old Age:

– Decadence: 48-56: –,–,__

– Old Age: 56-64: –,–,__

– Death: 64-72:__,__,__

Which is the classic 72 years, biological cycle of life and death of human beings, we shall regain when considering the cycles of History and Economics.

In the past the cycle was shorter, of 7 years, when the age of reason started, so people entered youth at 14, the age of old marriages, and plenitude at 21, dying if surviving the cut-offs of the ego paradox, around 60.

In earlier Paleolithic societies, it was even shorter, of 6, so at 12 women married, and people died on their 50s.

Now in the industrial world, the cycle is longer, among survivors, with a mean period of 9 years, so at 18 we are allowed to vote and drive machines, in the placebo world of freedom and enzymanic work. And people die at 80. The maximal being a period of 10 years, the magic number of the Universe, when people will live 90, and for the most perfect organisms, the 11 magic number (of stars in perfect spiral galaxies, mammals among animal life, the 111 sea of calm of the table of elements and so on). So the oldest among us will reach the 100 years mark, 1 in a million though.

To notice that the end is the beginning, the birth with null information about the world we live, when the old man becomes a child and forgets, before entering the dark world, down the hyperbolic ladder towards the limbo of ∞ infinitesimal cellular parallels.

All this we said so you realize that it is not that difficult to understand the Universe, when you do not commit the kind of lineal blunt ego-centered errors of the western fatal attraction between militarism, physics and Abrahamic religions, which subconsciously has biased and err so much our world.

We talk then of the duality between the objective, scientific philosophers of the eastern world and the lineal concept of infinite time, hence NO end to the life, and life beyond death.

This other view is though just a creation of the mind-world.

Humans of course are ego-centered people who thought to be the center of the Universe. And science has been the fight to reduce that opinion and extend the understanding from the world to the Universe.

So first each tribe thought to be the chosen, only human thinking race in search of a valley to make it is promised, chosen land, (racist Bronze age Religions that from the Aztecs, a warrior tribe whose supreme priests, carried an Alliance Arch with the image of his God, Huitzilopochtli, carved in gold, the fetish sweat of the sun, till after crossing the Sonora Desert they arrived to the fertile valley of the Moon Lake where they murdered all the inhabitants, not Chosen of Go(l)d, and created his empire, to the Hindus who stormed the Indus valley, from the ice deserts of the Siberian Andronovo culture, on Bronze chariots, establishing castes where the inhabitants they didn’t murder became inferior Dalits, to the Hebrew, or Apiru, ‘those who walk behind the asses’, who after crossing the Sinai desert, stormed Canaan, murdering all their inhabitants to establish the promise land, to the American Biblical modern Jewish believers on the promise land who after crossing the desert seas, massacred all the Indian inhabitants of the plains to establish the promise land, where their exceptionalist manifest destiny was to construct as many weapons as possible, and murder all other forms of life.

Oh, yes I know, there are still 4 billion human beings, who believe in Huitzilopochtli, American version (so they are about to build up a wall as their brothers of the promised other land, to separate themselves from the modern Aztecs who came, fair enough from Arizona), while the people on the other side of the other wall, angry enough become jihadist… As their prophet told them, when he found that his tribe of the desert had been also chosen to conquer the world with weapons, murdering all those who would not convert to his truth.

You see the patterns. You are a big ego. You live in a desert. You do not understand life. But you know how to make a lineal weapon, a sword, a chariot, an arch and you set yourself to plunder the people who do understand life, in the fertile crescent, or the Moon lake or the New England forests; and because ‘obviously’, they are right, it is not easy to convert them to your lineal mind, and so you murder them. Or silence them. And when all is silence, alas, then you look at the skies and God send you a comet. And the Pope ‘alexander’ writes your verses:

‘And god created Newton, and there was light’.

Till life will enter in darkness, we could add. As the physicist, keep measuring particles of God, and essay big bangs.

But as it would be absurd to keep pounding on those lesser scientists and religions of the go, without giving you the alternative of knowledge provided by the ‘unknown philosophers of science’, who don’t make cannonballs and atomic bombs for the delight of artillery masters, we will now specially in this section, which is about the real organic, fractal, ‘scientific’ universe, advance a bit more on the ‘road less travelled’ of serious, scientific analysis of cyclical time and fractal space.

So we shall return as all time cycles to the fight of truth vs. power latter, and give you some more real food for thought.

Now, though we must clarify something fundamental to the metric of the 5th dimension, the relative travels to the past, which are produced in the moment of death, but according to the ternary principle do have always 3 perspectives (those of the field of entropy, the head of information and the ST wave) – in the complex model of the 5th dimension we would always talk of 10-dimensional perspectives, but I think is good enough for those internet blogs to consider the ternary principle.

Let us then consider the difference between a travel of past-entropy or death and a travel of past-information or ‘prophetic’ genetic life, which is the completion of a positive worldcycle that generates a new worldcycle by a dual motion back and forward of pure seminal information.


All together now. Travels in the 5th dimension.

It is though a creative Universe that doesn’t disdain other ‘combinations’ of the 3 relative PRF arrows of time.

Thus we must combine motions through space (space-time actions), its sum and order through the 3 ages of time (life-death cycles) and motions through the lower and larger scales of the 5th dimension, to obtain all possible motions of the Universe, inner evolutionary motions, outer, physical motions, and ‘metaphysical, existential’ motions as we live and die emerging as social organisms and dissolving on those planes of the 5th dimension:

Screen Shot 2016-04-03 at 20.31.55


Travels through the 5th dimension. The anti-particle that is born in the relative past point on a Feynman Diagram, as the entropy arrow that annihilates the future arrow of the particle, creating a present wave; the palingenetic seed of seminal, genetic information that is born in the relative past ∆-1 plane of organic existence to accelerate forwards with its faster, efficient time cycles that have erased all the trials and errors of topological wrong mutational evolution, to remember the perfect human beings; and the canonical memetic man carrier of the message of eusocial love, the code of information of the 5th dimension or absolute arrow of future that creates wholes departing from its lesser parts, or prophet of a civilization, which will teach its clone believers to share energy and information among them to create a superorganism of history, are 3 examples of the astounding beauty and intelligent f the harmonic Planes of reality, of self-similar, all explained by the 10 isomorphic elements described in space, time and 5D scales by the Generator equation, which for Human species are:

In the graph some curious time travels, and combinations of time motions: an annihilation of a future to past and past to future (Feynman diagrams) antiparticle and particle, a seminal seed, travelling upwards through a 5th dimension and a memetic, ‘seminal’ book of revelation, mental linguistic seed of a social organism of mankind.

And so we formulate the following statement: ‘all what exists are motions through the 5th dimension’, which will allow to formalize everything with 5D metric.

What it is not all the motions of time, is the simple, worldline of Absolute space-time physics. A constant motion of time, without changes of states (which make the function non-differentiable on those regions the state changes). This is a useful simplification better suited to study motions of lineal, differentiable nature, in which a change of age or state of time  happens, (as from a gaseous-young, energetic state to a liquid, to an informative solid one, or through the different time speeds that define different ages of life).

The worldcycle of Time is all.

Time is understood in perfect terms in the logic, Chinese age, foundation of the Chinese most successful culture of the west. The east did understand the ternary logic of time, its past, yang energy and future yin information that combine to reproduce the infinite beings of present.

How 2500 years ago, those 4 verses of the Tao-te-king in chapter one ch’ang, the function of existences, could arrive to this sophisticated level of thought, we don’t know. Ch’in, the unifying, lineal emperor, who brought iron swords and weapons to China, forbade Taoism, and burnt all its rational book, only some memorized texts and magic rituals remained. It had though embedded China of its fundamental logic, in the yin-yang duality, and even the way the Chinese language constructs itself with equal subject-object dualities responds to that tuning with the fundamental principles of the Universe.

As a result the Universe have given China the biggest prize: survival. It is the most successful culture of the world, since India cannot be considered one culture but at least two – south/northern, further split in 2, Islam/Hinduism, and colonized. China thus has the maximal GDP today at PPP, the maximal population, it has survived the longest of all cultures but unfortunately all that knowledge of the first age of understanding of time and its conservation laws is gone.

The western world is a lineal culture of visual, fetish, go(l)d and weapons cult(ure)s,  today globalized, where time matters far less than space, cyclical information far less (unless properly mediated by a machine), than lineal energy, and so where 1/2 of time reality and the most important O-motions disappear.

They of course are there, but always limited by curious concepts that erase its power: clocks become uncoiled into lines, cyclical inertia mediated by an invisible centripetal force, the curvature of timespace converted into accelerated gradients, r=evolutionary panting is cubism, a lineal art not ‘cyclicality’ – the Taoist love for curve, all gone of our art, where even the old ionic curves have been reduced to lineal skyscrapers. So we shall regret the loss of the Taoist age of  knowledge  of the essence of time, for the time being.


The Universe is a sum of motions through the 5th dimension, as only when motion exists we need to define a space (the form that moves) and time (motion). And so epistemology is the knowledge about a being of the maximal information about its ST events which is all what exists, of truth 1. The language will reduce that truth 1 to a 2-manifold mental mapping of it.

The universe or rather reality is eternal because the 3 simple time motions, ≤≈≥ do have a zero-sum value as they erase each other between life and death, so do the ±∆ actions of absorption and emission of energy and information.

So before we go into an analysis of those 3 time motions further studied in independent posts, we must enunciate this principle of ‘CONSERVATION OF TIME MOTION’, in proper scientific terms. As science has done, calling it the Principle of Conservation of Energy, considering ‘energy’ a ‘concept’, which in physics that resumes all ‘motions in time’ of which 2 are paramount, kinetic energy or lineal-entropic motions and potential energy, or cyclical vortex-like motion (charges and masses and their position in larger cyclical accelerated vortices of motion or ‘fields’).

Now, if we divide the Universe roughly in a given ‘plane of the 5th dimension’ in two type of motions, lineal momentum and angular momentum, which correspond roughly to two type of energies; kinetic ‘lineal energy’, and potential energy, in as much as kinetic energy is contained in the motion of a single particle as lineal momentum is, but potential energy requires as all cyclical motions, 2 ‘elements’, the focus or centre point of the field of forces and the position of the particle. And so we consider that lineal and angular momentum are the ‘spatial slices’ or ‘steps’ of space that time integrates, as it adds those ‘small steps’ into the whole ‘time’ function. So according to our formula, which relates space and time in its most generic terms:


We should obtain from ∫ Lineal momentum =Time Function: ∫ mv = 1/2 mv², which as it happens is indeed Kinetic energy, the ‘scalar’ time function that integrates lineal momentum.

We can by similar but more complex mathematical reasoning compare angular momentum and potential energy, as it becomes obvious that angular momentum does not really changes the position of the being which constantly returns at the point.

There is NOT however a third type of ‘basic momentum’, which we could call ‘vibratory momentum’, as all oscillatory motions can be described as combinations of | and O-momentums. According to the fundamental law of dimensions, which are constructed departing from two initial poles of motion and/or form.

But there are other forms of energy to be considered, and those are energies that require to be account for different planes of space-time the fifth dimension. And so it is not possible to do a physical description of time motions properly without 5D metrics.

Indeed. When we define a system in physical space-time, as in any other relative space-time we do have to account for the ternary 5D structure of the system, U±i, in this case, the quantum, electromagnetic, molecular, thermodynamic and gravitational, cosmic scales. And so the system will display our 2 types of energy≈time in each scale of existence, and then there will be exchanges of ‘motion’ and ‘information’, between the 3 scales of the fifth dimension, to total all the motions of time≈energy of the system, integration of all the little space-time actions of angular momentum and boosts of lineal momentum.

Now, when we study those momentums and energies with relational space-time, they fit nicely in the larger scaffolding of the general laws of all 5D motions and systems.

The problem of those concepts in classic physics is that they have no clear logic understanding of of it. Since mathematical physics is handicapped in its development but the limited verbal-logic intelligence of their practitioners. So for example, the best time physicist, Einstein would merely say that ‘time is what a clock measures’ . While there is not really any conceptual definition of Energy, even if very few ‘arrogant physicists’ acknowledge they have no clue.

So we rewrite the fundamental principle of science – the conservation of energy –  in terms of the conservation of the  3 motions of time, which roughly speaking (latter we shall differentiate those terms with more precision) are ‘entropy-energy-lineal motion/momentum’; ‘form-information-position-cyclical motion/momentum’ and its ‘vibratory, iterative, repetitive, hyperbolic combinations’:

‘Time never stops. All what exists is a combination of lineal energy motions and cyclical, positional motions that transform into each other ad eternal:  Se<≈x≈>To”

The Universe is packed in a single sentence and formula, where Se< represents all varieties of lineal motions, >To, all varieties of cyclical motion, and  ≈ or x represent the iterative combinations of both type of motions, in 2 essential sub-groups:

  • Perpendicular, ‘Darwinian’ combinations, X, in which the entropic and informative motions tend to annihilate each other (as in death processes, antiparticle-particle collisions and other erasing ‘big-bang’ procedures)
  • And parallel ≈ symbiotic combinations, which become ‘stable, organic’ systems, made of O-heads/particles, |-limbs/fields and Ø-waves/bodies.

The properties that change as we collapse the extreme motion and order into U± <∆ scales.

So this is a first approach a way of explaining the whole range of scales as a series of Russian dolls, which collapse into the human being, and as they do so:

  • They become more ‘messed up’ in its combinations of pure form and pure motion. So instead of pure motion, we call ‘generically’ the more messed up motions ‘energy’, and as pure form becomes more messed up we call the more messed up forms generically ‘information’. And so we can state in those closer U± regions that ‘the universe is a game that transforms back and forth spatial energy into temporal clocks of information ad eternal, and write instead of the Motion-distance vs. Form-time clocks equation, a messed up one:

Se x Tƒ = U±4

This is the metric equation of the 5th dimension (if time is called the 4th) that puts together all the other planes of existence, as constant space-times with increasingly smaller space-distances that collapse towards the human scale:

Se x Tƒ = ∆

  • And as they do so, they also become more equal in its Se x Tƒ components, which are more messed up in temporal form and more similar in spatial size. So you are made of ‘cells’, which is what you emit when you have a seminal creative moment, and they are very similar to you, compared to the perfectly spherical, smallish black holes that emit perfectly infinitely long strings of gravitation. This is not so pure and perfect, it is more messed up but as life proves it makes things much more creative an interesting. It creates a much more various Universe.
  • Finally it becomes obvious that the Universe is not that pure simple Relativity description of the U±4 scale of pure gravitational forces and masses, neither the next scale of light-space and galaxies of astrophysicists. And that there is not a single space-time continuum. This again is a problem of physicists which are astoundingly arrogant, and decide that the thing they study is the ONLY thing; the clock they use to measure all those time cycles is the ONLY clock of time, the only cycle and so on. Not so, there are a big number of planes of existence, and for many reasons of quantitative and empirical analysis we settle in those U±4 panes.

And there are infinite clocks of time, with different speeds as we have seen, related to the size and distance of the system. So all together form a Fractal Universe of multiple planes of spaces and times. Whereas as in a fractal, all parts seem the same, as in a fractal the closer we come to a point the bigger it becomes and the more information it shows. So the next stage of ∆ST theory is to quantify all those planes together, and find a relationship between all those distances-speeds and different O-clocks of time, which is called a metric. The metric of the 5th dimension.

The life world cycle.

In this geometry, the life worldlines of physicists are world cycles, as we add ‘depth dimensions’ of cellular, social organization across 3 ∆-scales: the cellular/atomic (physical biologic systems) individual and social/cosmic scales. So life is a cycle across those 3 scales, a travel through them and we shall expand on it.

Now think of your life. It is in fact a travel through 3 scales of the 5th dimension. You are born in the lower scale of cells, as a seminal seed. Then you grow in size and slow down in your life rhythms and you are born, and keep growing and slowing down till you die and then you regress back to the previous scale of size.

You do exist traveling in the 5th dimension.

Moreover all species of the Universe follow the same process. They are born as a small seed, which grows enormously in size absorbing the energy of the Universe that surround them till they explode back in a big-bang.

A black hole for example, it is born as a exceedingly small seed inside stars and grows very fast eating the star or the planet and then it all explodes into a big-bang. He is traveling through the 5th dimension.

So that is the second isomorphism of the Universe, the life-death cycle that all its species and systems follow.

Remember also we found an Isomorphism of forms, heads and particles of information on one side, and bodies and fields of energy. This is called ‘isomorphism’, equal forms.  And there are more…

So now we shall study how the 3 fundamental properties of reality, its time cycles, enclosing vital spaces, across several scales of the fifth dimension structure the fundamental space-time event of reality:

The worldcycle of life and death.


 WORLDCYCLES. THE 3 ARROWS OF TIME, 3 organs of space and 3 scales put together. 

Now, a likely more easy to understand approach to the Universe and its Existential functions of space and time, comes from a ‘ceteris paribus’ analysis in time of those existential beings. As in time, without their spatial elements, as beings of pure motion we can easily study the ‘3 ages’ of any change=motion of the Universe, and develop a causal analysis of it, parallel to the topological, spatial analysis we make of its forms.

Then we can consider the existence of 3 ‘arrows-ages-dimensions-properties’ of cyclical-time-motion-change:

< Sp: There are expansive, decelerating, entropic, lineal, past, energetic motions; followed by

≈ TS: Steady state, inertial, repetitive, wave-like, fixed speed, present åctions that combine and reproduce energy and information, completed by

And > Tƒ:   Accelerating, informative, collapsing, future, formal, ordered motions

3 ages best corrected

Some of the main worldcycles of Nature, across several Universal Planes of the 5th dimension, in the U±1 life scales of the human kind (biological, ∆-1, individual and ∆+1, social cultural scale), and the physical kind (thermodynamic, galactic and cosmic scales).

In the graph, the life-death world cycle of beings, written in terms of ‘Spatial motion transfers between planes=energy’ and ‘form transfer between planes= information’.

In the life-death world cycle of beings, is where the concepts of energy and information, more complex, ‘scalar’, when compared, with spatial motions and forms localized in a single plane acquire its full meaning.

Information becomes synonymous of reproduction of form, which reaches its peak in the mature age of the being.

Energy becomes synonymous of the duality of life and death, the ∆-2 elements upgraded to reproduce the being, and the U-2 final descend into death.

Now it is important to fully understand why death, which is an absolute release of energy happens downwards, in the thermodynamic scale, U-2: Since energy can be fully transferred downwards it is possible to jump two planes through death. On the other hand since information can be fully transferred upwards, it is possible to code the ∆+2 plane of existence departing from the molecular scale, as it happens in evolutionary arrows. 

We could say using a simile of physics that the U thermodynamic arrow is superconductive for energy, and the Tƒ scale is superconductor of information.

The reader can observe that matter also suffers also those 3 ages, known as states of matter, the gas, energetic state, the liquid, balanced, e=i state, and the solid informative state, between its birth as a plasma of ∆-1 particles and its extinction back to pure energy in atomic furnaces in stars, Sp=mc2.

Now death has strictly ‘2 descending moments’ into the ST-2 Plane of existence as Energy, hence death is not truly the reversal ∆-1 of birth. Death is ST=2. So death of matter implies a explosion of gravitational and electromagnetic energy (Sp=Mc2), and accordingly ‘physical energy’, ads a square of motion, a 2 dimensional expansion of ‘—motions’, instead of the ‘conserved’ Mv of momentum. Energy thus degrades in death the organism.

And in this manner the slow creation of life that rises in 2 stages matter into the organization of cells ∑∆-2>∆-1 and then the ∆-1>∆-emergence of life, descends twice into the moment of death.

For sake of simplification, and symmetry we write in many occasions only the U±1 seminal birth and network death, in the same manner physicians consider death merely the loss of the ∆-networks of Tƒ-information of the being, but strictly speaking we should write:

∆-2>∆-1: Seminal birth≈ ∑∆-1>∆ (fetus conception)<Spe-Energetic youth<≈ST-Reproductive age (∆+1)≈>Tƒ-Old age>∆-1 (network death) > ST-2 (cellular death)

That is the complete world cycle of life and death, across 5 planes of existence.

The worldcycle of matter

So happens to the world cycle of life and death of  the Cosmos with its two gravitational hyper-inflationary and electromagnetic big-bang, death and birth of a new galaxy from a quasar (and maybe a local Universe) , which will then go through:

a young age of irregular galaxies made of stars in their nebulae (max. Sp)

The a spiral balanced S=T, steady state of liquid stars that reproduce atoms, S=T,

And end into a max. Tƒ- 3rd age of big- crunch – a collapse into white dwarfs or black holes of maximal Information.

Tƒ end in a dual death in a big bang.

The world cycle of social civilizations.

So do every biological being and society that evolves a human social super-organism and acquires technological information till it collapses into an energetic war that erases the culture, subconscious collective of the civilization into death.

The concept of existential force: momentum and the sum of all energies.

‘Existential force’ will be then defined in physics by momentum, M(Tƒ) x Se (V) = ST. And it is the essential parameter of the physical Universe, being the laws of conservation of lineal momentum (Dominant in Se-lineal, entropic motions) and Cyclical momentum (dominant in Tƒ, cyclical motions) but both having a ‘bit’ of the other, yin and yang, Mv=ST, the fundamental expression in physics of the Generator Equation.

In that regard, the definition of energy as 1/2 Mv2, will be clearly related to momentum. Its derivative respect to speed, is indeed the momentum (∂Sp/∂v=mv).

And this is what really energy is all about, which will become more clear if the reader goes through the mathematical sections of this blog (not yet put up), in which we discuss in depth the fascinating matter of the meaning of ‘operandi’, such as derivatives, integrals, potencies, polynomials and other fundamental quantitative modes to describe the different emergent processes between planes of existence.

Here what the derivative of energy in terms of motion, v, means, is that when a system with an existential force or momentum, transfers part of that existential force, Mv = Se x Tƒ to another being, as a ‘speed’,  it can only transfer a quantity of it, with ‘one dimension less’ of it.

Derivatives thus skim a dimension in its transfer, as you would take the surface of cream on the volume of milk. Thus we cut down a polynomial factor, ∂ x² =  2 x, from energy to momentum, and then if we derivate again, we cut again the v factor and are left with the mass-form of the system. Thus energy->momentum->Mass, skim away the spatial entropic motion of a being in two dimensional steps down leaving us with the pure form of the species. It follows that 3 ‘degrees’ of analysis of spatial motion/’—motions’ are:

  • Pure space-motion without the mass factor. Its first combination or existential force, M(tƒ) x Se(V), which is the constant conserved by all systems, as it balances both ‘—motions’ and form, and finally, adding more ‘dimensions’ of motion to the mix, kinetic energy, which having more motion, gives as ‘more force’ (another mixed magnitude with more of Se than Tƒ, but in an accelerated manner F=ma) to be able to transfer momentum.

Maximize your existence: the constant balances the Universe keeps.

Now, in the physical details of the web we do mathematize and relate those concepts to the laws of physics and see how broad those conceptualizations are to explain all kind of laws in its whys, here we are more interested in the whole understanding of the ‘game’ of the Universe, which consists in mixing iterative Se and Tƒ cycles and ‘—motions’ in multiple dimensions across multiple space-times, creating balanced, constant quantities.

And so in the 3rd post here, dedicated to constants, is where we shall truly ‘define’ the LAWS, that is the ‘combinations’ of Se and Tƒ that the Universe keeps steady and makes immortal, mostly those which are balanced, with equal Se x Tƒ quantities, as this ‘function of existence’, Se x Tƒ is maximized when Se =Tƒ (5×5>6×4>7×3; even if 5+5=7+3).

This simple rule, that the Universe conserves combinations of ‘Spatial ‘—motions’’ and “temporal Form’ which are balanced, is THE MAIN LAW OF THE WHYS OF THE UNIVERSE. And those species which in a certain ecosystem find those balances and maximize their existential force, survive better.

So in physics Momentum is conserved. Se x Tƒ=ST. And this can be seen in all kind of ‘physical planes’. Another matter is to analyze detail by detail the laws of physics that reflect that law.

Often those laws are of the form Se x Tƒ = Energy (potential and kinetic together) or = momentum.

For example, the fundamental law of electricity is J = σ Sp, this says that the density of a current, is proportional to the energy of the field.

Now here, ‘density’ is a quantity that measures q ∆ v. Whereas q is the charge, the vortex of the electric space-time field, the equivalent to the mass on the cosmic plane, the informative ‘clock of time’ of the quantum world, and ∆ its number of charges.

So q ∆ is the total quantity of clocks of time, Tƒ, of the current, v its is speed or |-Motion, so J actually measures the product of the Tƒ and Se of the electric world. It is really the measure of the momentum of the electric world. Whereas Sp is the best expression as sum of all its kinetic and potential energies, of the space-time world in which the momentum happens, from where the momentum extracts all its space-time fractal parts. So really this writes as an expression of the existential equation:

Sp x Tƒ = ST.   A fractal entity of space-time, of energy and form, is in balance, in proportionality with the space-time field in which it exists: 

Se (v) x Tƒ (qn) ≈ Energy field. 

From this first equation of electricity physicists define ‘intensity’ (qnv x S) by multiplying density by the cross surface through which the current goes. And this is the magnitude they use for almost everything, measured in amperes which is the standard unit for electricity. Yet when we come to fundamental laws, they are related to J, the electric momentum. For example, the fundamental law of electronics, Richardson’s equation, relates J electric momentum to temperature.

And so we shall once and again find this big problem with physics, which is a practical science of measure and mechanical building. It is more convenient for electric construction to deal with intensity, but density is the ‘nature’s conserved’ principle. It is easier to deal with ‘lineal time duration’ to measure motions in space, without entering into the details of the steps of the legs, the cycles of the wheel of the car, or the frequency of the wave that moves, but the universal real magnitude is cyclical time.

it is easier to calculate and extract motion from beings to add up the kinetic and potential energy and put them all in the same ‘bag’, mass, as a form of energy, position as a form of energy. But that simplifies enormously our understanding of the duality of the Universe, between its two poles, in this case

Sp=Mc2:       Sp(Se): < c2: ∆-constant > M (Tƒ)

That is, a vortex-clock of time called a mass, can be uncoiled into an explosive, entropic radiation of kinetic energy, Sp, and this will be done in a proportion, which is again a constant of the space-time field in which the process takes place, across a bidimensional space-time plane called ‘light’, c2.

Now the explanation of what that equation means: the back and forth transformation of mass time clocks into entropic motion, measured in the light space-time plane filled with ‘bidimensional fields of lights-space, c2, is ‘philosophy of science’ and ‘principles’, ‘thoughts of god’, and that is what this web is about. the details and the practical use of them, is what classic physics is about.

Both are not mutually exclusive. Personally i find more fascinating the thoughts. Most physicists as Feynman put it, don’t care about the whys, the thoughts, which is ‘the only question a physicist must not ask’. He did work on the atomic bomb. I have wasted my active life opposing to nuclear weapons. So did Einstein who cared for thoughts, and found the 4th dimension. But the truth is we live in a world of praxis, which obscure the thoughts, the forest. And that is bringing us to the end of Gaia’s existence.

Because the thoughts are ultimately about existences.

Today the numbers and praxis of measure and construction of machines is the only thought understood by physicists. And that is a problem.

So returning to ‘—motions’, Se, is distance in stillness, and entropic motion, as ‘—motions’ is a measure of all the ways a molecule in a gas can increase its space because it is an expansive |-Motion.

When you see the word ‘energy’ printed as synonymous of space, I am using  the concept of kinetic energy, or energy as a synonymous, but we shall try to be more rigorous and define always Se as what truly means: Spatial expansive, lineal distances/entropic motions).

‘—motions’ and space as a ‘young, first age of a time cycle’.

Einstein also said, ‘time curves space into mass’. So as time cycles go through, the lineal age of entropic big bangs, is transformed into mass. the true direction of the Universe is Sp->M, as time warps energy and expansive motion into form, information, 3rd age wrinkles and warped space-time.

And so we can better define spatial motion as the first slice of the time cycle that will shrink it, into a vortex of form as time goes through: energy will become imploded into a galactic vortex that will end into a fast black hole clock. Your energy of youth will wrinkle as you stay home informing yourself. This is the fundamental equation of time:

Se -> Tƒ. And so in yet another kaleidoscopic vision, we could express the Universe as a tug of war, between the 3 relative ages of time cycles:

Se (young energy age) -> Tƒ (old informative age), which tries to remain in the middle, Se=Tƒ (present, iterative, balanced age). So we talk of 3 ages of time:

Max. Se  x Min Tƒ (young age) -> Se=Tƒ (reproductive, present, mature age) -> Min Se x Max. Tƒ (3rd, old informative age).

This development of the metric of the fifth dimension, which stays its maximal time in the mature present age, but for reasons studied in great detail in other posts, ends up finally corrugating itself, is the ultimate meaning of existence.

Death vs. reproduction

You live: Se -> Se=Tƒ-> Tƒ, and you try to elongate that world cycle of life as much as possible.

And then when you are pure Tƒ, pure black hole mass, Pure old being, the process reverses itself in an instant of death, an explosion that uncoils all the Tƒ, potential energy into kinetic energy:

M->Sp; Life-> death dissolution back to cellular pasts.

Now, the beauty of it, is that the Se->Tƒ arrow lasts a long life, and the Tƒ->Se death lasts very little.

And that is why we see a living Universe where death is a short big bang. We hardly any corpse around us, even if quantitatively there are as many corpses as living beings, they last far less.

Hence the importance of qualitative studies For example physicists do not understand why there are less antiparticles (which have reversed time equations, hence they are the death of particles)  than particles. This is obvious. Because the antiparticle, the death reversal of the particle, lasts so little that  on the total space-time product of the quantity x duration of them, they are hardly seen.

Se x Tƒ is far smaller for corpses and antiparticles than for life beings and particles.

They just do calculus on the quantitative Se numbers and hence they cannot figure it out. it is still one of the conundrums of physics.

It is a trivial solution once we can define properly the 3 arrows of time and affirm that the Universe prefers the life arrow and makes it last much longer, but on the whole is immortal because the sum of particles and antiparticles, Sp and Tf, entropies and formal motions, lives and deaths, living and corpses are equal. And further on, it prefers the living and specially the living that reproduce themselves in the present, Sp x Tƒ; S=T, steady state of the system, which explains why it is an iterative fractal. The Universe as a fractal does generates constantly self-similar forms.

Its purpose is to reproduce the essence of life its present Sp x Tƒ, S=T systems.

That is the mandate: grow and multiply through the 3 dimensions of a time cycle, spatial ‘—motions’ or youth, reproductive maturity or present and informative future or form, to die fast.

So we say that death happens in a relative single cycle/frequency/step of the whole entity, and life in the relative infinite sum of steps/frequencies/cycles of the whole being. And this ‘quantitative’ element, that death is a single quanta of time – either 1 or 3 π steps of the cycle – is essential to the quantitative models of physics, biology and history, even mysticism, as we shall see when we study the resurrection of civilizations through radiation of DNA-minds, called prophets.

Yes, that is also part of the 5th dimension, though i don’t bring it often because i know it will provoke a knee-jerk panic among our dearly quantitative scientists (-:

A single day for the body to die, but sometimes 3 day cycles for the whole pi as in the resurrection of Christ, as a radiation wave of thought in the mind of its disciples, transferred through the Wor(l)d the language that became God and inhabited among us, the saint spirit of the trinity, father, ∆+1 plane of the super organism of history, son, the DNA prophet and the world, the i-logon code that transferred it, ( I couldn’t help it sorry physicists 🙂

Now for you not to become mad at me, by including 5th dimensional theology, I will give you a bone of the ‘fire of the universe’. the big-bang lasted in its inflationary state, a single quanta of time, Planck’s time, and that was enough to fill up the local Universe (actually a quasar, it was only the galaxy that exploded, but that error of physicists should not be brought now here, when I’m trying to make them happy).

There was thus a single quanta of cosmic, gravitational time to provoke in the galactic quasar that lasted 13 billion years a gravitational wave that exploded all the mass of the galactic black hole. And that instant lasted only 10 up to minus 43 seconds. And then a new cycle of quasar life, tabulated by French astronomers into 10-20 billion years started again.

And a similar ratio of life-death happens in particles vs. antiparticles.

That is the charity of God, the fractal generator and its laws: eternity is there in the life of us and all our reproduced fractal forms, death is just the vaporization of our ego knot or mind-memory into a flat bidimensional surface of kinetic energy, which will resurrect again.

But how we do measure a time quanta? according to the metric of the 5th dimension, it is the length of the cycle of our ∆-1 cellular/atomic/quanta elements.

A day is the time of reproduction of a cell, hence the quanta of time of the larger being, and the quanta of death.

The gravitational plane (not the light-space of the body of the galaxy, but the gravitational plane of its masses, black holes and quarks) is made of strings. The reproductive bit of a string that moves by reproducing along a path of space-time at the speed of light, is the Planck’s time.

Strings are properly defined – without the errors of Newtonian background space-time, with a better understanding of its 10 dimension across 3 planes of space, time, with its definition not as rubber strings but rather as a liquid with enormous surface tension, which move through reproduction, technical matters that should not matter to you unless you are a string theorist (-; are the ultimate ‘cyclical clocks of time – closed strings’ and ‘—motions’ of reproductive space of the gravitational Universe. masses, quarks and black holes NOT light-space, are made of strings.

They are one of the two fundamental physical ‘quanta’ of the Universe. And so a ‘reproductive cycle of a string’, which moves by reproducing its vibrational wave along a lineal path, at the bit of 10 minus forty three seconds was all what needed the galaxy to die.  And a day, the reproductive cycle of your cells is what you will need to die.

Because as we have said life is a reproductive wave. All is reproduction. When a wave moves through space it reproduces its form. When reproduction ceases, death happens.

Thus we could redefine death now not in terms of the arrow of ‘—motions’-past, but on terms of the arrow of reproduction:

Death is the last reproductive cycle of your cells/quanta that sustain your self.

Then once the ∆-1 plane no longer reproduces. The ‘second death’ is its explosive big-bang, dissolution, which lasts a bit more… The entire pi cycle of full åctions of the being, a cryptic concept that is too far away on your knowledge for understanding now – the 3 days the corpse takes in smelling rotten, the longer big-bang period of the galaxy. So the total death is:

∆->Tƒ-1 (last beat of existence at cellular level) -> ∆-2 (entropic death).

And so now we can return to the first sentence that defined the Universe, as a ‘fractal system made of planes of space and cyclical time’:

As all fractals, it has a Dimensional Generator Equation, which combines, ‘X’ those 2 elements:

Space, broken in infinite quanta of ‘lengths’ with motion (or ‘‘—motions’’), ‘Se’.

And cyclical clocks of time, which carry its information in the frequency and form of its cycles: ‘‘,

to create through a series of iterations, ‘∑’.

a series of ‘constant’, C, physical and biological systems, species and Magnitudes, ‘∆’, that put together form the puzzles of forms and motions, that we call the Universe, U.

And because it is a fractal those puzzles have an inner structure in i-layers, which are different for each species but for the biggest, whole Fractal, the Universe is a structure of 9 logarithmic scales (since each new scale is made of ±10¹º  smaller elements.

This simple sentence thus resumes the whole Universe as the sum of an infinite number of relative worlds, which are structured with the same laws of the whole, resumed in the Generator Equation of the Universe:

U = ∑ W: ∑Se ≥ x ≥ Tƒ = ST±4

Meaning that the universe is made of infinite fractal worlds, ∑W that combine  Limbs/fields of energy: Se, and heads/particles of information, Tƒ, into hyperbolic, reproductive bodies/waves, X, which exchange between the two poles Se, Tƒ, flows of energy, or expansive, entropic motion, ≤, and flows of information, or implosive, rotary motion, ≥, in ‘stable, balanced’ dynamic structures, defined by a series of Universal constants of repetitive åctions, ST across U±4 planes of relative existence.

‘—motions’ and form combine into repetitive constant fields which suffer a life and death cycle around an exi=st, balanced field of liquid existence. The consistency, present, repetitive presence of the Universe is due to the reproductive, e=i, cycle.

It is what maintains the Universe constant, even if each of those exi=st-ences will go through the life-death cycle, of 3 ages, obtained as a result of the constant accelerations and decelerations we submit the function, which are finally ordered in 3 ages (another question though is to consider which degree of freedom to move the future-form or the past-energy zones of life-death evolution is possible).

In brief, we are born with an existential momentum, M(Tƒ) xV(Se)≈ ST, but the system is not in the balanced ST point of existence for very long but rather follows a ternary evolution, ∂ST/∂Tƒ x ∂ST/∂V >=<0 of 3 ages of life to extinction in a relative, Se(x)/Tƒ(y)/ST coordinates

This is the point of departure of the mathematical and logic formalism of the 5th dimension, which humans have been observing since their discovery of telescopes and microscopes, but was not properly formalized, beyond the philosophical models of relational space-time of Leibniz and the insights of Einstein in the multiplicity of time clocks of the Universe.

We exist in a Universe made of infinite beings composed of spatial motions (seen often as fixed distances), ‘Se’, in which certain cyclical  clock-like cycles ‘Tƒ’ repeat, reproduce its åctions, ‘ST’, with a constant frequency , giving birth to 3 type of complex 2-manifolds of space-time, (toroid, entropic long limbs/fields x Informative, cyclical, tall heads/particles, combined in hyperbolic iterative waves-bodies) which assembly into organisms  during a finite period, its ‘world cycle’ of life and death.

So we talk of a simple mystical taoist function:

‘The Function of Existence (Ch’ang: Se x Tƒ=ST) is not the obvious form, it is the combination (imprinting) of yin-information-order (Tƒ) over Yang-’—motions’-energy-disorder (Se) that generates the 10 thousand beings’

Cyclical Time imprinting energetic space, creating complementary systems of relational, fractal space-time.

And we can consider any biological organism to be made of a Head (Tƒ) x Limb (e) ≈ Body (ST)

Now systems are limbs/fields that transfer energy to ST-bodies/waves and heads/particles that transfer information, and both together are reproduced into seeds of new limbs/bodies/heads, fields/waves/particles. This is what the Universe does, generate space-time waves, with energy, information and its ‘speed of reproduction’:

Se x Tƒ = ST, ExI=STU±4, Spe<ST>Tƒ; Max. Sp -> S=T > Min. Tƒ…. and many other equations we will find in this web express the same concept, which however – and that is the difficulty and beauty of understanding all the varieties of a fractal – adopts many similar forms. In the graph we see a simple one: A Planckton, an H-photon, in which making Tƒ, ƒ, the frequency of form one, can be defined by some simple equations: Sp=H(ƒ:1)=MC2, is the simplest ones.

The generator equation must therefore be interpreted for each plane of space-time, each variety of species of ‘‘—motions’ in space (‘—motions’+ energy) and O-Time cycles that carve space into forms; and ≈ Waves and bodies that combine and reproduce both.

In logic terms, the easiest way to express all this is with the 3 arrows of time, symmetric to them: Past-Young-’—motions’-Energy-lineal space x Future-information, form, old age = Present, repetition, reproduction of bodies and waves.

Since past is indeed a world with lesser form, future the old age of information and in between each system of the Universe goes through 3 life ages, of a worldcycle of time:

But why Physicists only study ‘—motions’ or motion change, and therefore unaware and unable to understand form, informative change affirm that the Universe will die, expand and increase its motion?

Again, because when the first physicists invented the first equation with time and a variable, he wrote an equation of motion, and ever since, all physical definitions of time derive from that simple Galilean V=S/T equation, where time is defined as a parameter of speed and space, of motion, of the 2 sides of the Galilean paradox NOT as an equation of change in form, which is the equation we shall introduce in the 5th paradigm and will define all the life-death cycles of change of form of the Universe.

How Se and Tƒ, ‘past lineal disordered motions or ‘—motions’’, and ‘future informative, cyclical clocks with ordered motions or forms’ combine to reproduce the infinite constant varieties of individual body-waves, ST, of the complex ternary Universe is the deepest scientific knowledge we can achieve.

How fractal space=yang, and time=yin, merge and create ‘existences’.

And all civilizations with different languages, have tried as the Taoist/Buddhist/Hindi, did with the duality of yin=Vishnu and yang=Shiva, to explain the duality of the informative, creative, orderly and energetic, entropic, disordered, life and death, mass and speed sides of all systems mean.

Those cyclical åctions have a fundamental nature, as the word ‘cycle’ implies, they are repeated in time with a frequency, ƒ, which determine the speed of the cycle. And so the Universe truly is a game that ‘draws’ fractal, frequently, ƒ=Tƒ, time cycles, forms that carry in-form-ation in the form and frequency of its cycles, over surfaces of |-entropic, expansive, lineal, disordered space…

Each of us is also a bunch of energetic motions molded by cyclical åctions, we repeat every day that we perceive once a second, with our eyes, feed once a day, make love once a week and life and die by repeating certain cycles.  But how to classify those cycles? How to study its freedom or patterns of order? How to relate them to our human deformed perception of existence, how to compare with the cycles of other beings? Those are themes of the philosophy of science of relational space-time, which are also worth to study.

9th isomorphism: social classes

To maximize your existential force, Max. Sp x Min. Tƒ: ∑Sp x ∏Tƒ, systems gather in social groups.

This is the ultimate ‘equation’ of existential algebra that explains why all systems in the Universe form social groups. But to do so they need a language of social communication… So they also evolve its spatial, temporal and scalar hierarchical languages.

Symbology. The 3+i language ages

We will use 3 different symbols for those social groups according to their languages, which have different characteristics:

will be used for S1,2,3 societies of genetic origin between 1 and 1000 ‘p.o,’vs. Since ∏ symbol of multiplication and pi, with its 3 cyclical or hierarchical (height-informative dimensional point of view) elements fits the Genetic, Generational view of this first type of Languages. If letters are used obviously the G is the appropriate for the case. But as usual we prefer geometric and topological symbols. As a multiplicative element pi also suits the ‘connection network’ established in temporal relationships.

Since the number of ‘connections’ or axons of a ‘temporal structure’ is the square of elements. Thus if there is a society across ‘3 generations of time’ – the elder generation, the father and sons, all the elements do have connections with the rest of the elements and with himself. And so in a family of 10 there are 100 connections. Temporal societies are thus as all structures in time hierarchical but with a limited size, since the number of connections a man can establish with others is limited. It has been calculated in fact to reach only 150 ‘meaningful connections’.

This means that the ∏o=individual, ∏1=10¹ family, ∏-2=10² Clan are perfectly connected and have been found in all systems to work smoothly in synchronicity, but the 3rd element, the tribe, ∏³=1000 is not perfectly connected – not all the individuals know all the members of the tribe (as usual in the ternary waves, which are ‘riding’ on each other, that is the previous wave is loosely connected with the next wave in space, age in time, or scale/plane in the 5th dimension).

Thus ∏3, the tribe, is a mixed organization, in which only the upper caste, the 10% of informative elders know each other and are properly connected. It is therefore also the natural phase towards a Social Class evolution of a system, in which the upper class is totally connected, the middle class is loosely connected and the lower class or ‘energy of the system’ is NOT connected. 

  is a symbol for serial sum. We have chosen it, for the 2nd social age of the system, where geography defines the connections, which overrides the genetic, temporal connections which exist still at its base. So the central point of view of the geography or ‘capital’ appears at this point in the region of maximal communication (geometric center or coastal, external membrane point of maximal in taking of energy and information).

It implies that the system has entered into a common vital space, besides the genetic language of organization, creating more complex topological structure and starting an organization of the 3 social networks needed to form an organism. Geographical, spatial systems, such as cities, stars clusters, or biological tissues have such structure.

The basic action at this stage, is given by the natural symmetries of those 3 ‘scalar languages’ and the ‘3 ages of time. So the system expands spatially to control energy.

Œ, is the symbol for the organic, final creative scales of the system, when the whole is formed.

Then the existence of 3 growing spatial networks of energy, reproduction and information or capital of the system, surrounded by a border which conform the organic structure, almost emerging as a whole). At this stage the language is informative.

Thus the Organic Age, is the symbol for the most complex linguistic, topological 3-system unions, in which there is often genetic, spatial languages and a new faster language of information that dominates the system. The language is on top and the informative class has come to dominate the energy and reproductive class, body and limbs. The language further on is ‘removed’ from the spatial geography of the system which becomes secondary, the organism thus is formed. The second symbol of co-product is also a graphic symbol, as the center has been formed by the intersection of the membrane’s flows of energy and information that converge through the intermediate toroid topology into the center.

∆+1: the Universal ages.

U or ∆, if symbols are preferred are the symbol for the Universal age.

Finally the being is formed, but it continues its growth, now as a “universal whole” from its birth as a micro-organism, through its evolution into a super organism and macro-organism. And we classify them by the Spatial dimensions, that is the number of cells, the system has (though they can also be studied by its evolutionary ages in time), into:

∆+1: From 1000 up to a Billion cells or micro-organism.

∆+1: From a billion to a trillion or super-organism

∆+1: From a quadrillion to a quintillion and beyond… Macro-organism.

While the range of cells do change and indeed, there are exceptional being which have already all the organic specialization just with a minimal number of 100 cells (rotifera in life), and there are macro-organisms with decillion cells (atomic structures), we average the most common cases, in life, and galaxies, which are after all the fundamental ‘two type of organisms of the Universe’ (life/human scales and galaxies, which are atoms of the higher scale with stars being ‘photonic, fractal points of the electron’.

Thus U for universals if the last symbol were easily available is the symbol for the linguistic, Universal age, in which the system starts to ’emerge’ as a whole in a clear, differentiated manner.

Thus  ∏, ∑,  Œ and U represent the symbols of social growth and language, for the Genetic, temporal; geographic, Spatial and Universal, Organic Scales of the system, the ‘9th  and U, for Society or Universal will be used to express the Social Scales that transform individuals into Universals.

While S or § is the obvious symbol for social scales that finally emerged as a new Univessal Plane:

S¹º individuals = Universal ∆+1 = ∆+1 Plane of Space-time.


Some examples in different ∆-planes of the social process of evolution of individuals into ∆+1 Universals.

Thus the final, more complex action of any being is:

∏, ∑, Œ=∆+1

The social evolution of individuals into Universals, the system across a series of social scales till reaching the limit of its environment in simpler ‘herd like organization’, or the complexity of a tightly packed super-organism.

Each of them however can be further divided into ‘Social scales’, as the individual groups itself into larger social entities, starting by the ‘couple’ and the ‘family’.

So we can write them as a 10¹º series, in which the fundamental element of aggregation will be the ‘type’ of language of information used to unify the units, which must grow in ‘time speed’ according to the metric of the 5th dimension as we enlarge the system, so to maintain its synchronicity. So in the paradigm used to name those scales (human societies) we find the 3 first genetic scales, then 3 geographical, economic scales, and finally 3 verbal, ideological scales to get to the global super organism:

  • 10º, the individual of a given ‘previously described ∆-scale of the whole Universe…
  • through the 10¹ scale of the family (which can be a couple, a mononuclear family or most often one through 3 generations of grand-parents, parents and sons, of around 10 people) and then in genetic units, to the…
  • 10² scale of ‘clans’… and 10³ scales or tribes (in the human system, which is taken here for the first ‘names’ of those scales…
  • Changing to a more complex language of social information, geographical, economical systems that create the next degree of 3 scales, the town, 10 up to 4, the city, 10 up to 5 and the nation, 10 up to 6…
  • And then to ideological, verbal systems, which create cultures, till arriving to the – 1 billion, 10¹º-¹³ individuals, which normally emerges as a unit of the next scale.

In the next graph we can see the case of mechanical societies, the economic system or world stock, which contrary to belief is not a human organism but joined by ‘chips’, and has already reached the ‘mark’ needed for ’emerging’ as a global mind, the internet:


We also consider the human super organism of history, a smaller super organism of human beings, not yet emerged as a global single being, but coming closer to the 10¹º human beings, in the global super organism:

10th isomorphism: the ∆+1, 2: social and world planes.

Thus the isomorphism of social scales is common to all systems. As all of them will finally reach a 10 dimensional organisation that gives birth to a new plane of existence, where a new ∆+1 point of view, the 10th isomorphism will be born.

And indeed, we can find it in the cellular tissues of animals, as described by Miller, a pioneer of GST in his book Living Systems, in star formations, from binary stars to globular groups to galaxies with more than a billion stars, when the ‘DNA nuclei’ of black holes is formed and the ‘system of stars’ emerges as a single whole; to human and mechanical societies, to smaller ‘super organisms’ of ant, normally around a million elements, to even smaller military formations, mostly formed from the legio to Gengish Khan orders to modern armies around the 9+1 perfect tetraktys, the magic triangle of Pythagoras:


Let us then consider the study of those Social scales between ∆-scalar dimensions, which are analyzed in each ‘scientific scale’ in more detail.

This S10=∆+1 final scale though will continue growing from the birth of the ‘fetus’ into larger and larger beings, through 3 processes:

– Age growth through the ‘isomorphism’ of time ages, till reaching its plenitude in the Tad, adult age of maximal ‘activity’ and duration or steady state (the classic 4 Dimension studied by physics) in which the growth of the being reaches a maximal.

– And then through 3 relative ∆-scales of slow evolutionary time-growth, from microorganisms, to medium ‘superorganisms’ to macroorganisms.

Thus S9, gives then way to a full being which should evolve in search of further perfection. We prefer the terms, joined in single words, to differentiate them of the common use of science. So for example in the multicellular Life scale, there are:

  • Microorganisms
  • Insects (the superorganism scale), the dominant family of the Earth by numbers of individual and species.
  • Chordates: Amphibia, Reptiles, Birds and Mammals, the macroorganism of maximal size, which came to dominate insects only when man ‘reached’ a higher ∆-scale of organization through its use of ‘metals’ Which bring us to the analysis of those scales in the atomic ∆=2 level:

In ∆=8: galaxies we find, small globular galaxies, spiral galaxies like ours, the regular size, and cannibal galaxies of enormous size that devour all others.

In ∆=2: atoms, the isomorphic quantum scale, similar to the galaxy, we find:

  • The H-He, Li, Be 4 ‘micro-atoms’ with its minimal size-energy S1,2 spherical orbitals, which form an ‘ecosystem in itself’ (with the medium, steady state Helium preying in all the others, which convert through fusion reactions into Helium accounting for its relative hyper abundance) ; the ‘regular atoms’,

The atoms with s,p,d orbitals, from the 5th B, through our C,N,O life family across the metals which add a d-orbital and have in its ‘middle’ steady state, the iron of maximal top predator Sp X Tƒ existential force (perfect nuclear, O-configuration and Maximal Sp-valence variety), through the 56 element Ba. Those are again the dominant forms…

Thus a field of interest to the 10th isomorphism is the analysis of the inversions of role of parts that become wholes and normally change from being lineal functions of energy to informative systems and so on. The changes of symmetry between scales of which the most important is the change of parity (left-right handed systems as we grow in size) in physics, the change from energetic to informative to energetic role, in biological scales, an of different social class in hierarchical colonial civilisations, is in itself an entire field of knowledge.

All in all, in the future when this new paradigm goes well beyond the single 10th point of the mind of this writer that has put together all the other disciplines of human knowledge, and humanity or robots in this or other planet develop such theory, it is possible within this 3 x 3 + 1/0 analysis of all the laws of the Universe to fully grasp reality within a fractal, absolutely relative philosophy of science and frame of mind.



 Conclusion. Relational space-times. The Pantheist Universe.

It follows from the multiplicity of clock-like cycles stores in the structure of beings, that the fifth dimension describes a Universe made of relational clocks of time and fractal multiple, vital energetic spaces. And it follows also, that all systems of the Universe are made of a ‘fractal piece’ of vital spaces with energy, extended across several of such scales, which lasts a finite quantity of time, its world cycle. We are NOT placed in a Newtonian absolute space-time background but we are made of energetic vital space and last a quantity of clock cycles, set by our relative size and internal ∆-planes of social organization.

For that reason the 5th dimension is a ‘relational model of multiple clocks of time and space’.

The model proves right Leibniz and Einstein who studied a Universe of multiple clocks of time, and gets away with the Newtonian Absolute concept of a single mechanical clock, an artifact of measure, used to equalize all the clocks of the Universe, which physicists latter confused with the entire clock cycles of the cosmos.

In that sense it is remarkable that the abstract Newtonian error of Absolute time has obscured the understanding of the 5th dimension for so long. Since the 5th dimension has always been there, and scientists have studied since their discovery of telescopes and microscopes, took 400 years to formalize. And the fact that the Universe has infinite clocks of cyclical time is also evident, everywhere we look at.

Conclusion. The fractal Universe.

WE JUST have described briefly with the Uo, human perceptive mind and its languages, the main planes of existence of the 5th dimension and its isomorphic systems, all of them made of symmetries of space and time, which perform space-time åctions of exchanges of energy and information.

The Universe is a fractal of infinite systems made of Planes of spatial energy and time cycles, which have inverse properties:

  • The larger a system is, the slower its clocks of time complete its cycles, which process the information in the frequency and form of those cycles. This allows an order of both parameters, which grow in inverse fashion, such as Se (energetic space) x Tƒ (cyclical time) =  C0±∆, where C means a constant product and i refers to the relative ‘isomorphic’ plane of size and temporal speed of the system. In simple terms, we live in a pantheist Universe, where the laws and properties of all systems are similar (isomorphic), because all systems are made of:
  • Bidimensional planes of spatial energy, a sum of quanta (from points to cells to stars) with similar topologies and this gives birth to the isomorphism of spatial forms.
  • Cycles of time, which follow a world, cycle of life and death through 3 common ages, and this is the origin of the isomorphism of time ages.
  • Planes of space that structure cellular/atomic, individual/organic and social/cosmic scales which synchronize its cycles in inverse fashion to its size, so the informative, genetic, smaller faster plane codes the larger planes, which transfer back energy to the lower planes (thermodynamic laws: energy can be transferred fully downwards to the molecular space in the form of heat, but heat cannot be transferred fully upwards as energy, and the inverse law of information: smaller systems can code fully with their information upper layers as in genetics, but upper layers cannot transfer its form downwards fully – there is no Lamarckian evolution).

This structure thus gives birth to the specific åctions of a being, which are transfers of energy and information among scales limited by the laws of evolution and thermodynamics.

Those are the 3 isomorphisms of all systems, from where we derive 6 more isomorphisms that make easier the study of any system:

The zero-point isomorphism: there is always in full, complete systems a zero-point or relative focus of information that gauges and controls and perceives the system as a whole. It is the center that shifts between the åctions of the being.

The Universal constants and social constants that define the specific parameters of each species and its social evolution from individuals to universals. Those 2 isomorphisms are the details that define each species.

The creation and evolutionary processes that differentiate a species according to types of morphology and ages.

The space-time dualities (isomorphism of genders, of perception as fixed space and form or moving energy and time cycles, and the form of those cycles, which will always be discontinuous and closed)

The isomorphism of scales (depending on the position of the ∆-center or zero point, the system will relate with different scales from galaxies to atoms, but all complete systems will relate to ∆0±4 scales as it will perform its 5 åctions with them)

Once we have described a species and those isomorphisms, with the specific variables of the species, we can consider we have fully described the being.

Universe and all its parts are organic networks of Spatial entropy & temporal information.


All type of Universal systems can be described as social networks of energy and information. Its similar=isomorphic laws are studied by general systems sciences.

IN THE GRAPH we see one of such isomorphisms: that of form, as systems form spherical topologies with a center of information -the nucleus of the galaxy, the game of the stadium, which is a ‘ball’ that all players, lines of energy pursuit (-; While in the center we see two herds without a clear center, proper of ‘energy systems’, a herd of insects feeding, a polymer atom of great strength without a crystalline center.

This site offers, the first formal, logic and mathematical model of those isomorphisms, from where we can deduce the main laws of each science that studies a relative ‘scale’ of spatial size of the social, organic Universe, from physics which studies its smaller and larger atomic and galactic scales to biology and social sciences which study its intermediate life and human scales.

All what you see in reality responds to a dual structure: Entities of Nature are complementary systems of simplex networks of energy and information, which combine to form a complex system that switches and merges both states. In the process the system might reproduce an entity self-similar to itself. And this is the definition of an organism, reason why we affirm that reality is dual and organic.

In Physics all what exists are particles of information associated to energetic fields that move them, and only both together exist (Complementarity Principle), creating a physical entity, which can decouple creating self-similar particles.

In Biology cells have a DNA nucleus of information, surrounded by cellular cytoplasm that provides energy to the nucleus; or an informative head moved by an energetic body. And only both together can exist, creating a biological organism. There are no bodies without heads and red cells without nuclei die faster than any others. And cells and organisms can reproduce self-similar forms.

Finally, in the economic ecosystem money acts as the informative language that gives orders to the physical economy, which reproduces all types of serial machines.

We formalize all Dual systems and events of reality born of dual systems of energy and information with an Equation we call the ‘Fractal Generator of Reality’: Se<=>To. Since we claim this equation resumes all the events and forms of the Universe. And so we define a widened principle of energy and information:

‘The Universe is a fractal, organic system, which reproduces complementary, social networks of energy and information that self-organize themselves in bigger, self-similar scales’.

And so from the fact that all systems are made of dimensions of Spatial motion->Energy and Temporal Form-> Information, across several U±4 spatial planes of Time world cycles of life and death, we extract common laws, called isomorphisms for all of them.

The 5th dimension as the basis of epistemology: unification of sciences.


In the graph, the Universe has a 5th dimension of different ‘scalar volumes’ and different speeds in its cyclical time clocks.  Such as the faster an entity completes its time cycles, the smaller it is. Thus we can classify all entities of the Universe made of relational space-time with 2 inverse arrows, one of increasing size in space and an inverse arrow of diminishing speed in its time cycles (appearing as angular momentum or vortices of forces, masses and charges in physics, as circadian, biological and metabolic cycles in living beings). Yet the product of both components of any universal entity remains constant, which allows the interaction between entities of different scales and gives origin to the metrics of the 5th dimension: Sp x Tƒ = Constant. An astounding number of responses to standing questions of sciences can be explained through them.

The importance of the 5th dimension in that regard is dual.

As it is the basis of a new Scientific epistemology, which allows the classification of all sciences according to the scale of the 5th dimension it studies; and on the other hand its metrics (rules of motion), encompasses all the previous laws of sciences and the metrics of 3 and 4 Dimensions within it, creating the scaffolding for the Unification of all sciences.

The isomorphic laws derived from the common spatial topologies, temporal world cycles (life-death ages) and existence across several spatial planes of cyclical time, through which systems exchange energy from above to below S-planes and information through world cycles, from smaller to larger beings are the core element that structures and explains all morphologies, events and flows of existence in the Universe.

They explain an enormous number of Universal phenomena common to all systems, and species extending across those U±4= 9 cyclical planes. And we call those common set of 10 type of laws the ‘isomorphisms’ of the Universe; of which 3 are essential as they derive of the essential space dimensions, time ages and U±4 planes of space-time of which all beings are made:

The described isomorphism of the 3±∆ time ages or ‘world cycle of life and death‘ (the expanded concept of a world line used in physics of 4 Dimensions, as now the 5th dimension allows a back and forth movement up and down which completes the life-death cycle, hence making time cyclical).

The isomorphism of the 3 ‘topologies’ of all systems in space, symmetric to the previous one: fields/limbs of hyperbolic energy, dominant in youth; toroid, reproductive body-waves, dominant in the adulthood and informative spherical membranes and zero-points dominant in the 3rd age.


Let us then conclude by making a visa and logic resume of the 3 formal motions of space and time, and its combined actions, the main components of reality and its infinite cyclical clocks, which physicists reduced to a simplistic concept of a lineal single time arrow of entropy for the entire Universe, changing truly with this ‘ideology about time’ (in as much as it was born of their worldly power, to make lineal weapons of energy), how science and mankind designed its future. We will be a bit ironic about them and the human species in general – hope you understand and don’t take it personally…

Time is bidimensional, and so a cycle of time has a dimension of height, and its static perception is a ‘still picture’, a bit of information. And energy is also bidimensional and its still picture is a plane of space. And one and the other constantly interact – lineal and angular momentum, potential and kinetic energy, heads and bodies and limbs, particles and waves and fields. We are all 4Dimensional beings mixture of energy and time, space and information. So:

SP: Spatial Extension <=>TƑ, and temporal information can transform into each other ad eternal. And this is the new fundamental law of the holographic universe. They mix together to form 4 Dimensional beings, and as time can be seen fixed as space, we do have a mental tendency to see time cycles as information, fixed forms, which we confuse with space.

So we are made of those bidimensional space-information, energy and time beings and their ‘present 4 Dimensional combinations’, waves and bodies of space-time that perform ±4 actions of energy and information, plus the absolute arrow of the 5th dimension, towards life-social evolution and death, entropy disorder:


So we can write with the same sentences we used to explain the Human being, all the beings of the Universe:

All systems of the Fractal Universe, including the Universe itself, are Non-Euclidean Points of Existence, Œ, co-existing in 3 relative ∆± planes of the 5th dimension, made of a finite amount of two formal motions, Lineal energy motions (kinetic motions, lineal momentum, limbs and fields) and cyclical time clocks (angular momentum, Internal Energy), which conforms its worldcycle between seminal conception, in a lower plane, ∆-1, of cellular existence, which emerges, L, in a higher plane, ∆, as a superorganism of a mass of billions, ∑, of atoms (physical systems), cells (biological systems) or citizens (sociological systems), knotted, ∏, by its dimensional, Past, E-ntropic Limbs/fields, Future, I-nformative Heads/particles and Present, Repetitive Body-waves and networks, which help the system to perform a series of cyclical space-time ±∆ actions of absorption and emission of energy and information, as it accelerates, ∆æ, to feed on fields of energy, ∆e, which it apperceives as information, ∆œ, to copy itself in an offspring of similar systems, , ∆œ, which evolve socially, ∆û, into Universals, part of an external Higher plane, ∆+1, till its extinction, when the arrow of growing information and life reverses its path into a ‘big-bang’, E< = >Mc2 explosion of Entropy called death, that erases the information, of the entity, devolving it back, >>, two planes down from the ∆+1 society to the cellular ∆-1 plane. So the worldcycle ends into a zero sum.

In the graphs and texts we have iterated 3 times the essence of the worldcycle, or function of existence, which all systems of spatial energy and temporal information of the Universe follow, as they travel through 3 planes of the 5th Dimension, of relative scales of size and speeds of temporal information that structure the fractal, organic Universe.

Thus we talk in General Systems of a fundamental ternary ‘particle’ in the Universe, a super organism made of cycles/clocks of temporal information with cyclical geometries (the form that stores more information) and bodies/waves that reproduce the system, and lineal limbs/fields (as the line is the fastest motion between points) that move the system, fractal parts of space-time of a Universe made of infinite of such space-time beings, co-existing in those 3 scales, of an infinite scalar Universe, each scale studied by a science.

And resume its entire species with a simple ‘Generator Equation’ written in the ‘Non-AE formalism’ of T.Œ, which writes:

(Sp-limbs-fields<>ST-Bodies-waves<>Tƒ-Particles heads)∆±1

Whereas < is a flow of energy and expansive motion, > a flow of information and ∆ the symbol for the 5th dimension of multiple scales, L the symbol of an emergence in a higher scale and its inverse a devolution back into a lower plane, as in the moment of death.

Existence, is as simple as that, as complex as the entire Universe when we consider in detail each of those systems, its topological and organic properties and the interactions between its parts and wholes, in an iterative, organic fractal Universe.

In the graphs humans also are a system with those 3 organs/functions, which ‘stretches’ its function of existence, Œ(human), through 3 relative scales of the 5th dimension, the ∆-1 cellular, i-organic, ∆+1 social scales, and lives and dies as all systems, travelling through those scales of space-time, born as a seminal ∆-1 seed, which emerges in the i-organic scale, where it is structured in 3 fundamental systems, of ‘lineal motions/forms’, the limbs, spherical motions/forms of information, the senses accumulated in the spherical head, and the reproductive, ovoid middle territory of the body.

And accordingly each of those 3 elements is structured around a ‘digestive-energetic’ system in the lower part (stomach-limbs), a blood-reproductive-hormonal system in the middle (heart-reproductive system) and an informative system on top (the head).

So we see how the simple elements of a ternary formal/functional Universe of infinite fractal space-time beings starts to take shape and explain questions, which were never answered, not even ‘questioned’ about the nature of it all.

Now the trinity of ‘organs in space’ with functions in time that show the same topological types of ‘geometry in motion’ open that wider view and reveals the vital whys of geometry, when we consider its symmetry with time motions/logic functions:

The top part of a human is the relative future, informative, particle/head.

Its birth as a seed of cyclical information, starts its ‘travel through the 5th dimension that we call life, in the lower cellular scale, which we write in Æ (abb. existential algebra) as O-1 (a spherical seed of information of the ∆-1 scale relative to the human i-scale).

Then the fetus emerges in the word as a baby, a youngster that moves lineally all around, Max. Sp, full of energy.

A child is always feeding on energy and moving fast in space. It is the age of entropy, the young age.

But then he becomes dominated by his body-wave/reproductive system. It is the adult age or present longest age, in which it iterates into a family, it reproduces into a similar present form.

Then finally all energy is exhausted, and the man warps into an excess of form, of cyclical memories, wrinkles and dies…



  1. Universe+1 says:

    Well, now i’ve apparently got to explain this to an 11 year old 😦 Wish me luck.

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