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4. Reproductive radiation

±∞ ¬∆@ST:

Abstract.  The key moment for any species of space-time is its reproductive radiation -Its mature classic age when it is above the mean efficiency of the other species a the point of beauty and reproduction, S=T (energy=Information, body=mind). The species is thus at its best and it starts a reproductive radiation that dwindles its preys and trans-forms the larger ∆+1 world. Reproductive radiation happen in all scales of nature, and have a peculiar fractal structure as individuals multiply to form then social networks that finally convert the parts into a new larger whole:

The Universe is a fractal that reproduces information, ‘forms in action’ and then self-organizes them in networks and systems that evolve into superorganisms in all scales of reality. As such it must be studied with the philosophy of Science, called ‘organicism’ as experimental evidence is overwhelming, on the nested, reproductive structure of nature, as observed in the graph for all systems. Yet  entitled human beings prefer to think they are the only intelligent perceptive entity and carbon atoms are the only organic elements of nature, to their own peril as the future of AI will show them. Fact is the minimal unit of reproduction and informative gauging IS the particle, as quarks and electrons already show the 5 ‘dimotions’ of life – they gauge information, reason why quantum physics is called a ‘gauging theory’, absorb energy from forces, reproduce into new particles with its surplus of energy and become organized socially by magnetic ‘numbers’. So does the largest known system, the galaxy, whose behavior resembles that of a ‘cell’, with its ‘gravitational, informative ‘DNA’ – black holes reproduced by its ‘mitochondria’ stars, organizing its structure, with 2 ‘physiological networks’ of gravitational in-form-ative forces and electromagnetic energy. So all physicals systems, from the atom to the galaxy can be described as organic systems, which are just ‘herds’ of similar beings, (atoms, cells, citizens, in physical, biologic and social systems, connected by networks that distribute energy (electromagnetic forces, blood systems, economic systems) and networks the distribute information (gravitational, nervous and political systems). So we can design also historic super organisms with the laws of systems. But the sciences of systems and information did not have a proper formalism of its organic, fractal structure till I developed the metric, logic equations of the 5th dimension or ‘scales’ of parts that become wholes evolving socially through those networks, applying them to all species of reality, including human societies and machines, in what will be the most important development of XXIC. science with wide applications to all disciplines.

The Universe is a game of reproduction of ‘intelligent motions’, motions with form, with in-formation, and as such intelligent, since they are also coordinated simultaneous motions that form ternary, organic structures in space, which are intelligent as they are organic, meaningful, co-existing in scales. So motion is reproduction of information, and as such can be treated mathematically organically in forma and function.

It follows that all the possible actions, born of the combination of pure entropic motion and cyclical, accelerated form, which create  ‘momentums of present’, are in fact ‘motions’ on the reproductive scales of the fractal Universe, going up and down on those scales, reproducing the form, provoking entropy in feeding actions to then reproduce again form but of the being that feeds, provoking informative collapse in motions close to a larger particle or mind point and so on.

Thus motions will exist and be classified according to the actions they represent for the being, in positive or negative terms. In general though it will be easy to understand the purpose an actions of beings because most of them just do the ‘same survival’ strategy: To Inform=gauge information to move=accelerate towards a field in which entropically feed on energy to reproduce organically and evolve eusocially into a larger whole or Universal: I->A->E->O->U.

The action of reproduction then will be the finality of all ‘time-space fractals’ as those cycles happens once an again.

This roughly makes possible without much detail to study 5 Dimensional motions, or Ðimotions, as there are always 5 dynamic elements in reality: ¬∆@ST; that is, ∆-scales of Space and Time, perceived by a language within an @-infitnitesimal mind, tracing a reproductive worldcycle, which will end when all information is erased in an explosion of entropy (¬) that ‘negates’ the being.

Of course an exhaustive analysis of all motions of all species, of all scales, and all its composite motions, will take a cosmic encyclopaedia. So we shall keep it simple and according to our ‘own selection of information’ with mnemonic numbers and terms, we shall talk of those ±∆@st MOTIONS.

SO 5 different motions=changes of time, will be enough to explain the existence of ∆@st elements

Whereas the ‘aristotelian dimension of mind’ perception, which shrinks (Poincare conjecture) the motions of waves of information, mirroring the Universe, into a mind-language collapsing them into a single point-mind/still mapping of the Universe, is the inverse arrow of motion, which stops motions of ‘time’ into mental ‘forms of space, finally ’emerging as the transcendental perception by the mind of all the information coming from an ∆-relative larger whole, reconverted into a reproduction seed, in the lower, infinitesimal scale of the mind’s reality.

As the main precedent, this division of all the actions of existence as motions=changes in timespace was foreseen by Aristotle, who talked of 6 motions, which roughly correspond to the 5 Dimotions of reality (growth, generation, decay, locomotion, perception…) and considered perception of information, from a mind-point of view, god and prime mover of the territorial energy it surrounds it. As such the so much despised Aristotle, turned out to be a more important philosopher of time than Mr. Einstein and Galileo who only studied one of the 5 main time motions studied here, locomotion (motion in space).

But as it is obvious physicists own the title of experts in motions we shall start this article studying and evolving their understanding of locomotion in space, as reproduction of form.

In that sense it is easy to see that if we define properly locomotion of waves as reproduction of information, all what exists can be explained indeed as a different type of reproduction of information.


A new definition of speed as reproduction of information along the path of a wave.

Why we affirm indeed that all what the Universe does is to reproduce information?

Well as we have observed it also erases it with entropic big-bangs, and evolves it with the arrow of informative warping of fields of entropy into vortices of charges and masses.

But the overwhelming purpose of the Universe is to maintain, conserve and repeat the ‘momentum’ and its integral of energy in all systems of nature. IT is what the Universe preserves.

For those skeptical readers, in simple terms, a mathematical fractal is defined by a generator equation, which ‘constantly iterates’, reproducing its form in different scales of reality. And this is exactly what nature does.

Indeed, it is evident that all biological systems are about reproduction of genetic form in a lower scale of reality (cellular scale), which then reproduces and evolves, ’emerging’ into a higher scale. It is also evident that our historic civilisations are about reproduction of technological information in a lower ‘dimensional scale’ (blue prints for machines), which then ‘company-mothers’ reproduce.

So the big question left to answer is about physical systems, which are supposed to be about ‘motion’.

But motion has always had a difficult paradox, never clearly solved, of continuity called Achilles paradox; which only has a solution if we consider as quantum physics seem to prove that in the scalar Universe, reproduction of form happens in as much as particles travel as waves, and only become particles of information when they ‘stop’, on an instrument of measure, and so a new fundamental equation of speed, which takes into account the fractal structure of reality and the true meaning of ‘light speed’, which is speed of transmission of information solves the paradox: V=S/Ti: that is speed is speed of transmission of information.

In the graph, the new ‘foundational equation of speed’ for the fractal paradigm: V=Space-distance/Temporal Information, is embedded in relativity and recognised in the concept that the speed of light is really a limit of speed of transmission of ‘human perceivable’ information.

What this means is that motion is not only relative, but related to the density of information of a system, so as mass-information grows in density the system takes longer time to reproduce the Ti element of v=s/Ti, and so it slows down. And on the other extreme when information tends to zero speed increases. So as we humans perceive information with light that is our limit of speed of transmission of information we can perceive c=s/Ti. But this wave of light is really impressing a quantum field of action at distance, faster than light (Bohm’s discovery on the pilot-wave theory which we have;to marry with the non-observance of particle during the motion, to fully grasp the process).

Thus light merely warps the entropy of the lower scale-field, ∆-1, which is invisible gravitation to us and hence must have less information and more speed, as experiment prove (gravitational non-local, invisible action at distance, due to the lack of human detectable information, which gives a speed for the quantum potential field/gravitational field of: v -> s/ti≈0 -> s/0=∞):

In the graph, wave motion is also reproduction of form in the lower ∆-1 scale of action at distance (gravitation, quantum potential).

THUS even motion is reproduction of form as A wave of information over a simpler scale of space-time; AND THIS not only solves the paradox of a Achiles – the wave reproduces its form in a series of discontinuous steps – but also explains why indeed the Universe is a fractal that reproduces as all fractals do, its form in a lower scale of reality which then reproduces into a wave-train that collapses into a particle (physical systems), or a seed that emerges after palingenesis into an ambulatory trillion cells systems  (biological systems), or into an idea or patent of an instrument that a company-mother of machines will re=produce in socio-economical systems.

Indeed, when we consider as Steane wanted a Universe from the perspective of ‘information’ and its ‘conserved present momentums and energies’, it all becomes simple and philosophically obvious. And so we just must explains the laws of reproduction of information along scales of reality to describe the ‘world cycles’ of existence, no longer worldlines – that is the motions across scales of the fifth dimension, which define all systems of nature.

How many scales? The discontinuous of finite infinities.

The question of light motion as a wave and the particle state as an informative collapsed point in stillness brings though as always in stiencen when solving a paradox – in this case the paradox of motion – new questions.

If motion is reproduction of information along a path of entropy, which is ‘warped into form’ emerging in a series of scales of ∆-wholeness, so when you move your hand, you are actually recreating all your scales above invisible gravitation – creating a wave of electronic light that travels very slow as it reproduces your system, the first question is: how many scales are in the Universe for motion to happen at all? The scales cannot be infinite or reproduction of information will be eternal. But the question is misleading, since a wave does not really move but transmits a series of vibrations to particles that are already there, in a dense ‘medium’. This of core brings the question of ‘ether’, of ‘substance or form in space’ over ‘motion in time’. As many other open questions which we shall treat in other posts on depth, we just enunciate  them in this introduction. Enough to say that science is not written into stone but an evolving concern, so relativity is not a dogma, but an interpretation, which was good enough in its moment and we shall expand further.

In practical terms the key way to understand Gst (ab. for the generator of space-time, or general systems theory) is to equip your mind with multidimensional thought. The solution adopted by Einstein and Bohr was pure idealism of the Hilbert school – there is no substance, no reference, all is virtual language, mathematical thought. Another way to look at it though is to consider that in each point of reality there is a ternary scalar structure of three time arrows as there is a ternary organic structure of three organic parts and then a discontinuous membrane in space, which cuts you partially from the outside reality, such as there is more information within you that between you and the outer world.

So you are a finite being in space. So happens with birth and death, which are your finite limits in time, such as there is far more time motions within your life than in your emergent foetus state and your dissolving entropic death. And for the same reason in scales of existence, an organism is really a finite ∆º±1 being, as below the cellular level and above the world level there are cut offs that make irrelevant the outer scale. Indeed, it does not matter much the galaxy you are in, beyond the solar system and its oort membrane that isolates you, and provides you within all entropy, energy and information. So for all practical senses, as you are not really outside your skin, beyond your death, you are not really concerned above the sun’s membrane.

And viceversa, as your existence below the seminal, seed, informative level matters little, beyond the cellular, molecular level it does NOT matter what indistinguishable atoms you are made of.

Your atoms can be any carbon atom as they are INDISTINGUISHABLE bits for the creation of the information you are. So the information which becomes imprinted is the fleeting you that exchanges the atoms it imprints in. Motion which is the simplest information to be printed then as Mach and Einstein thought, concerns ONLY the galaxy, ultimate substrata of ‘quantum field/gravitational field potentials’, which are indistinguishable and invisible. And so there is no need to reproduce the wave of motion below that level for light, even at a lesser level for other waves (sound, water waves etc.) but in all of them we shall find a homologous equation of speed of transmission of information, with more or less dimensions of form, being ‘pure speed’ v=s/t=λƒ, the simplest wave motion, with no mass-vortices of information (so other waves will have more complex equations, a theme for the specific analysis of mathematical physics and the dynamics of its three scales, quantum, thermodynamic and gravitation.

So we can consider mathematical equations of motion based in a simple ratio: V(st)=S/T, which means given an spatial/entropic/energetic region, a motion of a wave of energy or particle of information is the ‘imprinting’ of an ∆-1 substrata with the information of the being.

It is also obvious that as we ‘narrow the range’ of ∆±i through which the motion moves, speed will increase, which makes the faster motions those in which ‘energy imprints energy’, that is, where S≈T that happens obviously in the wave of light that excites a ‘gravito-magnetic membrane’ (the flat wave of magnetism), with an electric, informative height of very similar value. It is thus the minimal amount of information to imprint.

On the other extreme of course, there is the creation of the most complex informative species, human beings in life (9 months without any real motion followed by the motion-emergence of the being into the collateral distance of the mother breast) and in physical systems the black hole that becomes instantly a relative fixed point of view of maximal density that attracts in a gravitational negative gradient all other beings that move to it.

The three scales of being AND ITS types of motion.

But motion does imply a very important fact: for motion to happen in any point of reality there should be a fixed point of form, to imprint, as motion must imprint what there is down there. So in the three relative scales of any ∆º±1 being one of those scales must be a fixed form, other a wave form and a third a moving form and depending of which level moves, we start to observe different varieties of motion.

For example a foetus whose motion is pure informative motion does NOT move as a seed of information, ∆-1, of the lower scale, but receives ‘energy’ from its relative ∆º, external membrane-scale, the placenta and mother, which will be the ∆+1 entropic motion.

And vice versa. A being which is pure entropy will be ‘cutting under you’ the information, that is motion will be in the ∆-1 scale – a blast of entropy as in an atomic explosion, while the ∆+1 scale will be the static form, ‘erased by the ∆-1’ explosion of entropic motion, creating as a result a wave, as in Entropy(∆-1) < M(∆+1) < cc(∆º)

Decades ago when i was more focused and enthusiastic I did all kind of exhaustive analysis of motions and arrows and ‘tensors’ of the function of existence, e x i= st (entropy x information = space-time momentum) but all those files are now entropy, blind digital or unlocalised so I won’t do them or pour them here, but future researchers need to know the basic conflicting symmetries between ∆-scales an time arrows and space-organs.

It follows then that the most lasting balanced motions will be wave motions as they are balanced and self-sustained neither gaining or loosing energy in their eternal advance.

On the other hand informative motions  are ∆+1<∆º<∆-1: motion from larger beings through energetic membranes that feed static ∆-1 seeds of information. And they will have the finite limit of the emergence of the ∆-1 seed. And it will be accelerating in ‘size-growth’ to the point of birth (or in the Ko = Vo x Ro vortex or charge mass).

While inversely the entropic-death-disordering motion will be decelerating: ∆-1 < ∆+1 < ∆º. It will have the finite limit of dissolution of all information into scattering entropy and will be slowly dissolving into the invisibility of the lower scale till becoming invisible, hence static distance.

Doors between scales.

Another matter is to understand those point over which information is carried as doors of ‘perpendicular’ motion between planes, or ‘sinks’ of information ‘anchored’ by the vortex-like time tails in-between and its relationship with the physical concept of inertia.



The larger view. All the motions of social organisms.

In that regard, lineal time and physics and its single motion-entropy arrow of time, is completely misleading with his astounding overgrown at the center of time analysis the understanding of time and space in all other sciences, which are far more concerned with the MOTIONS OF INFORMATION, THE TOPOLOGIES OF SPACE AND THE PROCESSES OF WHOLES AND PARTS.

Time is all, all is motion, present space being a slice of time, which physicists study with ∂t->0 instants. So it reduces time-motion to v=∂s/∂t.  Now we ad information and the mixture of both, energetic, reproductive iterations and the scales of the ∆-Universe… to obtain all the motions of the Universe.

And indeed, if humans could stop so much bull$hit and worship and belief (of physics or rather of the machines and weapons they reproduce), they would be soo obvious, as they are to me:

There are different motions of time, of which we shall consider 8, according to the existence of the 5 -∆@st elements, which again ONLY can give birth to ±5 motions in the inverse directions of ∆, @, S, and T, where the ‘2 dimensions of the mind’ as a membrain, and its processes of perception, will complete the CLASSIC LIST OF 6 MOTIONS defined by Aristotle.

We shall just introduce by the correspondence principle those classic definitions of motion both in Aristotelian and modern physics, to see how close they relate to our 5Dimotions.

In this world of mechanisms and digital worship, it seems nobody has read Aristotle but his verbal, causal, conceptual knowledge on time and motion remains unparalleled.

He knew more in that sense of the nature of time motions that Mr. Einstein, and i say this knowing it is a blasphemy for most, because it is TRUTH. EINSTEIN KNEW ALL about LOCOMOTION, 1/5TH of the Universe’s Ðimotions. Not good enough.

Aristotle fully understood the worldcycle of existence of beings, and considered the blueprint for its Dimotions that truly explained it.

Why 6 instead of 5 – just a matter of adding a bit more detail in his consideration of ±dimotions (growth and diminution, and such)…

Basically Aristotle rightly understood that perception is stillness, as all systems have ‘an unmoved central God (of which he saw ∞, famously exclaiming ‘we are all gods’), which moves as final cause all the energy around it (its body-waves). So he did not consider perception a motion, but as the lack of it. But in a wider view, it is precisely the ‘change’ of motion from entropy through body-waves to arrive to still ‘minds’, what we shall call here the arrow of pure information, or anti-motion of the mind. And its inverse arrow: the communication of information, which so often puts in motion through its orders the beings around the hierarchical knot-mind at the center of the system.

Thus the GST division of all the actions of existence as motions=changes in timespace was foreseen by Aristotle, who talked of 6 motions and considered perception of information, from a mind-point of view, god and prime mover of the territorial energy it surrounds it. As such the so much despised Aristotle, turned out to be a more important philosopher of time than Mr. Einstein and Galileo who only studied one of the 8 time motions, locomotion (motion in space).

We can in this manner relate Aristotle’s motions to the 5 Dimotions or actions of a  being (whereas an action is a quanta of a certain dimotion, seen from the vital perspective of the mind) as:

±∆§: Growth≈Generation and Diminution≈Death: motions in ±Scales of Size.

≈ST: Locomotion and reproduction: ± displacement in S-dimensional coordinates & Reproduction: motion into an adjacent form of space-time.

-±ðƒ: Perception and emission of information, inward motion of pixels that stop into a synchronous still mapping of reality.

It is worth to notice that:

0. Aristotle and those earlier philosophers, prior to the simplification of Galileo understood that all forms of change were motions, of which the main categories were motion of form, of in/form/ation studied by biological sciences and motion as translation in space, studied by physics, without significant change in the form, (hence easy to manipulate mathematically with derivatives, reason why it expand so much in the modern age).

If we were to overblow lineal derivative time and locomotion at most we could say that lineal time is the short time span of derivative presents, and informative, evolutionary, biological time is the long range, from past to future to past of worldcycles of information, which require all other motions=changes to be defined scientifically, forming together the ”series of a world cycle of time-space’:

T-1: Generation (evolution): ∑St-1=∆1: Growth and emergence: ±∆•T: PERCEPTION & communication-> ∆St->Locomotion… and then the species will repeat once and again those last 4 motions, in cyclical modular form, feeding on energy and growing, perceiving and moving towards fields of energy, or towards fields of similar beings, with which it can communicate information; till the world cycle reaches its zenith and starts its decline with the negative arrows of -∆St, diminution, and – ∆+1<<∆-1 final dissolution and death.

So this is the a priori fact of motions in space-time. And from them we can extract some fundamental properties of the motion of the Universe.

1. All motions are combined motions in which several elements of ∆•ST intermarry. However for each of those dualities there is an element that dominates. In growth and diminution the scalar element, in locomotion and reproduction, the spatial element, in generation and death, the temporal evolutionary trans-formative element; and in mind’s motions, the informative element. We can in that sense further on reduce the 4 first motions, (growth, diminutions, locomotion and reproduction) to ∆space-like equations and the other 4, to time-informative equations.

2. All the motions are dual, ±, hence balancing each other to total a zero sum or worldcycle of conservative present in an immortal Universe made of eternal motion with form.So all motions can be considered elements of the Worldcycle of Existence and its different temporal phases.

3. Locomotion, the only motion studied by physics, and hence the queen of all motions, is just a reproductive motion; where little information is reproduced (wave-particle duality); while as we grow in scales of the 5th dimension and wholes require more information, the slow down of motion and growth of informative replication increases. So when we reproduce as humans the motion is minimal (9 months of informative reproduction inside the mother, and a small final motion to emerge in the adjacent region of space-time).

4. Finally the study of those motions, considered here qualitatively is closely related to the different Constants of Action, which is the quantitative version of the same processes.

5. ¬ Formalism. Group theory as the Generator of all motions.

While its full formalization by the ¬Æ formalism of General Stiences is immediate thanks to the awesooome insights of one of my few idols of classic science, Mr. Galois the young r=evolutionary, who realized the key element of reality is the symmetry of all ‘trans-form-ations’ (motions with a change of information) of reality. We shall add, along the bidirectional arrows of each ∆@ST relative dimension of being.

So only those systems and groups that generate allowed symmetries and motions along ∆, @, S & T do exist – are solvable.

Group theory or rather ‘Generator of Symmetries’,is thus the ¬æ formalism of motions in the ∆st Universe, roughly divided into:

-‘St-Abelian, space-like motions’ (which are equal in both directions), the minority of them, mostly locomotions and reproductive motions that iterate a system and…

-‘Ts Non-abelian, informative changes’ across T directions, (which are not changeable motions, as moving forwards in ccyclical time is the arrow of life and moving backwards the arrow of death).

-While ∆motions are of two types:

∆±i: motions that ‘cross’ a discontinuity between full planes of existence; which are TIME-like. For example, motions through world cycles, or inverse motions of information and entropy.

§: social grouping within a plane, (10ˆ<10), which are space-like motions as we can eliminate or ad members till the limits of creation of a new plane that emerges as a whole. Hence they are exchangeable §-motions of social scales.

In this post we consider a general view of those  concepts, starting by a refreshing of the meaning of cyclical time and lineal space, the origin of all the dual motions of the Universe and its world cycles; (first part) and then do a more detailed analysis of each of those dual motions (2, 3rd point) in the second sub-posts, time permitted, as usual the field is so huge and extensive as the universe itself smaller than the sum of its parts (set theory is right in this Cantorian paradox)…

Hopefully though I will pour enough discoveries at a layman’s level in this post, and formally in the sub-posts on each of those 5 dimotions, as to leave future researchers enough food for thought to keep going….

The constants of motion.

All this said, we are writing in a sequential order the isomorphisms of the Universe for a reason, as they are closely related in ‘pairs’. So the defining quantitative element of those motions are its ‘constant ratios’ and functions, which describes them in terms of algebraic operandi and space and time values. We can then wonder, which is the fundamental equation or Universal, mathematical physical, mental, topological or organic-biological constant for each of those 5 motions of the Universe.

It is self-evident that those constants will be the simplest, most repeated constants of reality. So we can easily realise that:

-The constant of the 2 motions of information is ±pi, which converts lineal into cyclical form. In the perceptive motion the constant will curve inwards the flow of energy, and radially select from its apertures, the relevant information to map out reality. In the communicating case, it will be a trigonometric π-wave of sines and cosines. But in both cases information will be preserved in the frequency and form of those pi cycles. Hence for transformations of lineal entropy into cyclical information we always find  a πi constant.

-THE CONSTANT OF THE 2 motions of growth and diminution is ±eª, as e=(1+1/a)ª, clearly represents the growth of a whole system, by 1 finitesimal cellular part, 1/a, in a times; and viceversa, its diminution along the same proportions – hence for growth and decay, we always find an e-constant.

-The constant of reproduction is most likely φ, the golden ratio and its variations on the Fibonacci series, from his famous ‘2 rabbits reproducing rabbits’, for complex informative systems, but for pure translative motion, the λ-wave length of the moving form.

-So this leaves us the 2 remaining motions, which are processes of emergence and dissolution of the being across an ∆±1 discontinuum of existence, which cannot be measured with absolute precision as information disappears or it is newly created within scales. So there is a certain degree of uncertainty, which will be the constant to use for each ‘different space scale’, in the case of physical scales, the well known constants of H-planck (quantum uncertainty), entropy (Boltzmann constant) and cosmological constant for the dark matter, beyond c-speed and below ∆0 Temperature. So there is not a clear ‘universal constant’ as each different super organism and its different scalar planes requires a specific analysis of its own.




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

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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 ∆•ST motions of timespaces.

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 8 Times motions of the beings of the Universe, a Theory of the Organic Everything or T.Œ as:

– 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 traveling 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.

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 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 |-P$<, past-entropy, becomes >ƒð future-information after it is combined, ≈X into present-repetitions, back and forth, as the 3 flows of time constantly switch into each other, ad eternal:  P$<=X=>ƒð

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:  p$t x ƒð= Constant Space-time:  Lineal Past< Iterative-Present > Cyclical Future

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 (-;

In that regard, there are multiple ‘sub-detailed’ analysis of the 5 Ðimotions and its ‘cycle of reproductive existence’… as they will form hierarchically a ‘worldcycle between life and death, generation and extinction, seeding from a parental system, through life in 3 ages, maximized in the mature age of reproduction, back to entropic death.




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:

P$t (youth)>S=T (maturity) > ƒð (3rd age) << e (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.

The worldcycle of existence: travels through the 5th dimension.

Now as I was a poet of words, a painter of images, with my $t: I=Eye<Wor(l)d: ƒð, as those are my human patial and temporal ‘human senses’ , the ‘humind’ function of exi=ST¡ence, before I became a fractal mathematician, I like to extract the deepest ‘genetic grammar’ of the English language, so the reader can understand the parallelism of all languages, that describe the same game of reality.

“I think therefore I Exist” – That was the title of my first short film (-; Man indeed needs conceptual, verbal thought as much as spatial mathematics.

That is why we call the function of exist¡ence ‘exi=st’, to exist is indeed to reproduce in a point of balance your energy and information, exi, as a fractal part of a larger ST±¡-Universe.

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 ƒð<ST<P$.

This is a deep word, ƒð 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:

P$: Youth (max. Spatial Extension) > ST: Adult, reproductive age > ƒð-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; ƒð) < 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)>ƒð, DEATH must be TWICE << entropy.

It must be Max. return to Sp, ƒð <<Sp; a huge big bang expansion of information into Space with no form.

Death = Max. Sp x Min. ƒð= Sp->∞ x ƒð->0.

So when you die in an instant of Time, ƒð->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, [$p x ƒð =K]∆±1, defined the existence of any being in the Universe as a travel through the 5th dimension, which implied a ‘growth in size’ ($p), coupled with a slow down in its temporal clocks (ƒð), 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:
Screen Shot 2016-05-19 at 17.23.17

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.

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.



In the graph, the oldest understanding of the cycles of life, and its connection with the physiological networks and ages of a system happened in the pre-metal age of taoism, by observation of similar cycles in Nature, through the 8 baguas, which the work of this writer in systems sciences translated to modern biology and theory of super organisms, allowing the prediction of life cycles, stock-cycles, the explanation of the variations of particles in physics, horizons of species…

‘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…

But numerology is not the purpose of this blog, but causal logic reasons. In that sense the baguas of taoism are so close to reality because taoism truly departed from a deep understanding of the two limiting form and motion, yin and yang elements of reality.  And so dualities and trinities and its 3², 2³, 9 and 8 symmetries and combinations are excelent ways to divide populations in space and ages in time. We shall prefer though as the Universe does the more complex ‘trinitary combinations’. And so use 9, the most often used quantitative division of scales, ages and topologies plus the 2 ‘dimensions’, center and membrane of the mind-membrain, to fully explore the parts and time cycles of species.

Yet in honor of Mr. Wenwang, we shall  consider with those symmetries of the Universe, the 3 ‘ages of time=change’, in its ‘baguas’ .

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.


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:

ƒð (Subject or Function of ‘temporal information’) < ST: action, operandi or verb ≥ P$t (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 of all motions.

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.

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 conclusion of all this, given the fact that all motions become part of a world cycle, or zero sum, is the conservation of present, or conservation of energy and information, in an eternal Universe (which physicists express, saying that a closed path does not spend energy).

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 Universe displays 8 motions, which corresponds roughly to the inverse directions of the 4 Dimensional elements of reality, ƥST.

If we order them sequentially around a given mind they will give us a world cycle. If we study them individually, they will describe the events we perceive around us. If we consider them philosophically, they reveal the sense of it all.

In brief, the detailed analysis of those motions is better achieved as we did in isomorphisms, 4 and 5, as elements of space-time actions:

‘Individual motions along one of the 4 dimensions of space-time, (whereas the 4th dimension can be considered the sense of lineal time of the mind, if we were to apply a correspondence principle), are part of 4+i the space-time actions of the being).

So alas, we have forgotten that 5th action of eusocial love. But not really, as it is a composite action/motions born of the complex interplay of all other motions. Indeed, to evolve socially we need to inform, communicate, move closer, share energy and information So again as so many times in those pages we come to the realisation that social evolution is a ‘whole’ new category that integrates all other elements, as the world cycle does in time. And so is the integral of all the actions caused by all this emotions.

So the integration of the concept of motions becomes in the kaleidoscopic Universe with so many perspectives:

– A world cycle in time.

-A social evolution in space.

-An existence in the mind.

-An ultimately an ST wave of reproductive processes along the planes of the 5th dimension. Which if we were to reduce further the meaning of it all, that the 8 motions of time can all be considered forms of reproduction along the parameters of the 5th dimension and as such all what the Universe truly does is to reproduce. Yo are in a fractal, productive Universe, which reproduces space-time cycles.

Motions as reproductions

How reproduction modifies slightly in terms of increasing its ratio of energy or information starts to convert the repetition of a time cycle also in an evolution, and if we observe only the rate of change, this evolution can be measured mathematically. DIVERSIFICATION of timespace species of cycles is a simple creative model of timespace cycles, which in human experience was first defined in depth in taoist, chinese cultures, with its trigrams, the first serious inquire into the ternary generator, of all human cultures.

On the western decoupling though closer to our terminology we talk of the 6±1 informative motions described by Aristotle in his organon, which form the world cycle: generation, growth, locomotion, evolution, diminution and extinction, plus perception of information, which Aristotle rightly classified as a still mind-point God of the body it moved, but didn’t include in the 6 motions.

All of them together, portray an obvious reality – a world in perpetual motion, whose order comes from the world cycle causality of those motions in beings between its birth and extinction:

In the graphs, all those beings, whose world cycle we have studied mostly from the perspective of the equation of the 3 ages of time and its symmetry with the 3 topologies of space, can be also studied in more detail as the constant sum of the @tions of the mind-will of the program of the Universe.

Then we break them into the 8 motions of reality related to the positive and negative arrows of absorption of energy and information, as a series of cycles that start with:

  • Generation – the motion that departing from an Max. i seed of information, start the process of
  • Growth and reproduction of the seed in parallel clonic forms that expand the point into a ‘wave’…
  • evolving further into a super organism, which emerges in a new ∆+1 plane of existence as a cellular system, a network of atoms, a galactic body of stars, a society of citizens…

And the the opposite motions of locomotion (expenditure of energy), diminution and dissolution and death.

It is then obvious that in the same manner there are 3 scales of existence, there are 3 levels at which the motions of the Universe can be studied – in its minimal size-speed as cyclical actions with a finite duration, in which the being absorbs or emits energy and information in the lower, faster, ∆-1 scales; at the level of individual world cycles, of the being integrating all those actions into a whole duration of existence, at the ∆-scale and finally, as the particle-head-cell forms part of a larger world in which it performs its actions of existence, as part of herds, organs, societies, populations in space, with the probability laws that ‘shift’ the angle from time to space analysis.

IT IS ALSO obvious that each organism then can be considered a knot or integral in time and space of actions of space-time cycles. We are just mental knots of time actions, keeping a sense of stillness by the simultaneity of the adjacent distances between our topological networks that web energy, information and reproduction events.


Thus what we call ultimately the physiological networks of a system or organism are just in and out regions that allow a topological knot-network, with the physiological roles of acting on energy and information to construct the whole.

We are all knots of space-time cycles, networks through which flows energy and information, attached to ‘parasitic’ heavy mass cyclical memories of other lesser slower domains, ambulatory cells feeding on those larger cycles:


In the graph, a human being is a series of cyclical networks attached to organs of cells. Those 3 main physiological networks process energy (digestive networks and attached organs), reproduce living systems, (blood, hormonal networks) and process information (brain sensorial networks).

If we consider each of those networks as transporting a software liquid moving cyclical energy and information or its blood-combination, we an consider the rest of the cells as attachments that crystallise the flows into a symbiotic organism with 3 generating Sp<St>t networks. Itself will be then this knot of space-time cycles of feeding, perceiving, reproducing, emitting and absorbing energy and information, a point moving through a larger world, NOT A STILL ENTITY, OR PARTICLE STATE AS KNOT OF TIME  CYCLES, BUT A POINT WITHIN A CYCLE, PLAYING AND ACTING IN THE LARGER WORLD, sum of such space-time cycles between birth and extinction.



3Å ≈ ∫å ≈ 8 Ω: Worldcycles of super organisms. The 8 motions of time.

Aristotle affirmed the existence of 6 ‘organic’ motions=changes in time, and one ‘still form’, perception.

Yet, perception and its inverse, communication, we know today, implies also the motion of information, form-in-action, through a force that carries in the frequency and speed of its cycles, the motions of the Universe, so if we consider perception also a form of motion we find there are 8 motions in time, which can be ordered to form together the world cycle of existence of any being, as we order them through their natural occurrence in al systems.

Let us remember the order of the 8 motions of time:

∆-1: generation and birth-> ∆: perception, locomotion, growth -> ∆+1: reproduction and social evolution-> ∆:, diminution, and ∆-1: extinction.

Whereas only locomotion seems at first sight not an organic motion, but we shall see starting by the reproduction of waves of information how can motion can be interpreted as reproduction of information above a previous simpler scale of forms of the 5th dimension.

This means that the cycles of space-time of beings are organic, natural to the biologic isomorphism of the Universe.

The 7 motions of the Universe. Relativity: minds cannot perceive together motion and form.

If the holographic principle explains the forms of the Universe as fractals of bidimensional space and time cycles, and so it resolves one of the oldest standing questions of science – why things and beings have the forms they have, and why there are so few forms in the Universe (only 3, those of time cycles, of planes of space and its combinations in space-time beings, something already the Greeks knew when they found all curves called conics could be deduced from a line rotating in a cycle, a cone; and today proved by the fact that messing | and O computers can imagine anything)… there is still a fundamental second question at the core of all sciences of reality: the duality between motion and form. What is motion and what is form, information.

And how they mess and relate to space and time? Now we have advanced the obvious answer in the previous graph. All is really motion but can be seen as lineal form-distance, as space or as cyclical form-motion as time. So we must understand how time motion states and form states, how lineal speed and lineal distance-stillness mess together.

Since this is the second fundamental duality which gives us the 4 ‘parameters’, lineal stillness, or distance, space, lineal-planar motion or ‘energy, entropy in some texts’, on one side and cyclical time clocks with motion and cyclical forms with more dimension, patterns of information, when we see time in stillness. But what decides how we see something as form or motion? We must then peer into the origin of all knowledge, the structure of the mind.

To make sense of all this, we must understand how the brain perceives the cyclical motions that inform the vital, quanta of the Universe.

Because the brain is limited in size, it reduces the total information of the Universe, taking away what we shall call the 5th dimension of scalar size (we do not see the smaller scales of particles, atoms, molecules and cells or the larger scale of galaxies and so on), and taking away the motion of most quanta of space that appear as ‘solid forms’, and  we take away the 3rd dimension of spatial depth.

So the eye sees the remaining dimensions, put into still bidimensional sheets of information pegged into a continuous mapping, as a puzzle made of all its cyclical parts. And this is why the mind sees an absolute Euclidean space-time, but reasons allow us to go further into the other dimensions and motions of the Universe.

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

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

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

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

Motion as reproduction of form.

Thus, we can consider the last element that makes our physicists’ believe in a simple abstract reality, as they are concerned mainly with the study of locomotions.

But locomotions ARE as in waves, reproduction of form of information in a lower scale of the scalar, fractal 5th dimension. When a wave moves it translates the information, the form of the wave in the smaller points of its lower fractal scale and we see that integrated in the upper larger scale as a motion. We shall then observe in all systems that motion is reproduction of information in a lower scale. For example, physicists today define c-speed no longer as abstract speed but as the limit of reproduction of information sent between two points. So we shall state that:

  • All systems have a wave-moving, reproductive state, and a particle-informative, still state.

This should have become obvious long ago. When you want to perceive information you stop or the thing you look must be still not to become fizzy. A wheel turning fast looses the details of its spooks. Electrons, the simplest particles have a motion and stop motion and stop beat. So when they stop they entangle with other electron emit an informative wave of light and communicate information – and that is the ultimate realist interpretation on why in Special Relativity we always measure with electronic instruments the same speed of light, as light communicates two still entangled fermions with a wave that reproduces information in the lower scale of gravitational pure space-time.

For the same reason because gravitation does NOT carry information its speed is relatively infinite, or non-local, as V = S/T = S/O-information = ∞.

Thus right now we have resolved zeno’s paradox, the meaning of action at distance, of entanglement and of special relativity, all in a single paragraph, showing you that even the most ‘seemingly remote’ science to be explained in fractal, organic terms, physics will find most of its unresolved questions answered in a very simple, beautiful manner once we do correct the errors of earlier abstract, mechanist, continuous models of a single space-time Universe.

In that regard, in philosophy of science there has been for too long a dogmatic physicists’ view of the Universe, as made of abstract continuous locomotions, despite Zeno’s paradox. How indeed motion proceeds? Step by step, as a wave ‘reproduces its formal motion’ in the next quanta of space-time, communicating its form to the next wave. So locomotion is also an organic reproductive action.

And indeed, those insights were already present in the earlier first Greek philosophers of science, who did already think in those scalar, fractal, organic terms:

  • The first philosophers of science, the 3 ‘anaxas’ of Greece, talked of life and death as a process of gathering of cellular homunculus, latter desegregated; of infinite time cycles, and the 2 poles of energy and information of the Apeiron.
  • Next came the true founder of the experimental logic method of science, Aristotle, in his organon, which talked of 6±i motions in time, whereas time was defined rightly as any form of change of a system, NOT only as physics do, a locomotion (one of the 6±i time motions). And so Aristotle talked of generation, growth, evolution, diminution, extinction and locomotion. On this view, we could speak of a ‘world cycle’ of life and death, as the essence of Time cycles, and the fractal beings, which develop those motions. As it consists on those 6±i motions in causal order. And soon we will see indeed that all systems, physical, social and biological follow the world cycle of 6±i motions.

Thus, with the analysis of all the 6±i motions=changes of reality, the fractal paradigm regains the understanding of the 6±i motions of time together as a world cycle of life and death proper of all beings, and will further improve our understanding of time, and its cycles.

The cyclical nature of time and its simplification.

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

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

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

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

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

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

The seventh isomorphism, describes the whole motion of a world cycle, in a dynamic way showing how all the actions of organisms come together in time as a world cycle of existence and in space as the life and death of a superorgnism.

Integrals of 8 space≈time MOTIONS≈ actions.

‘Τime is the measure of motion between two instants.’ Aristotle3 scales

In the graph the 3 scales of human superorganisms. All our actions can be considered exchanges of energy and information with those scales, through actions of space time cross genetic, nervous and memetic networks.

Now all what you see is part of a super organism performing a world cycle. So one an action of space-time a motion with form of present is perceived knowledge consists in localise the why, what, who, where, and when, how of the motion  space-time, who, is the larger super organism from where the action came, when is its relative time of existence and so on…. We are studying always such world cycles of superoganisms.


Now, we can tackle the detailed analysis of those inverse motions.


(to be cont’ed)


The processes of inverse growth and diminution in time can be extremely complex in organisms, through its palingenesis. However in the simplest physical systems, we find the general cases. And the mathematics of it. IT is called the Fourier transform:


In the graph, the Fourier transform decomposes a function of time (a signal) into the frequencies that make it up, in a way similar to how a musical chord can be expressed as the frequencies (or pitches) of its constituent notes.

The Fourier transform of a function of time itself is a complex-valued function of frequency, whose absolute value represents the amount of that frequency present in the original function, and whose complex argument is the phase offset of the basic sinusoid in that frequency. The Fourier transform is called the frequency domain representation of the original signal. The term Fourier transform refers to both the frequency domain representation and the mathematical operation that associates the frequency domain representation to a function of time.

The domain of the original function is commonly referred to as the time domain.

For many functions of practical interest, one can define an operation that reverses this: the inverse Fourier transformation, also called Fourier synthesis, of a frequency domain representation combines the contributions of all the different frequencies to recover the original function of time.

(to be cont’ed)


(to be cont’ed)



(to be cont’ed)

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