# 5D ∏IME-§PAŒ: ITS 3 ¬ÆRROWS

‘Every point is a world in itself’ *Leibniz on ∆º*

‘Time without space is a mere shadow’ *Minkowski on ST*

The substance of the ‘Universe’ are its 3 πime motions, its intelligence its simultaneous forms of §paœ’ *ls on ∆ºST*

“You should call it entropy, because nobody knows what entropy really is, so in a debate you will always have the advantage.”

— *John Neumann* to Shannon on what to call his new formula for information

‘Complexity (General Systems Theory) will be the science of the XXI c.’ *Hawking*

**INTRODUCTION. ****CORRESPONDENCE PRINCIPLE. THE ORGANIC UNIVERSE IN A NUTSHELL**

**Difference between right, limited theories, and ****wrong ones.**

Correspondence Principle: new theories include old ones as partial cases of a larger worldview: quantum expanded our continuous simple view adding a discrete, discontinuous view, with more information on the lower scales of reality.

*Since if we call all those scales of relative size and quantity of information, the fifth dimension we shall find a simple metric equation: *

*Spe (entropic size in space) x Tƒi (information content ) = ∆i (constant for any i-scale). *

*So smaller systems have more information, and code larger systems (genes code bodies, memes societies, quantum particles atoms). We shall expand further our knowledge of the similar laws of those scales each one studied by a science and to that aim we must introduce the interaction between the two arrows of time entropy and information, and its combinations of ‘energy momentum’.*

General systems Theory (Ab. GST) is the alternative philosophy of ‘stience’, (ab. space-time science) to the original model developed in the XVII around Newton’s concept of a single absolute, ‘lineal time clock’ and a single space-time continuum.

It follows obviously the principle of correspondence, according to which a new theory must agree with the old one within its limits. In the graph example, quantum physics expands the continuum to the discrete, more detailed, informative dense world of smaller particles. While on the right side, GST makes an even larger expansion of our knowledge of the fractal, organic scales of the Universe, expanding the limits of present space-time science that applies only to the space-time continuum scale of ‘human size and beyond (Einstein’s relativity) to craft a theory of space-time that applies to all other scales of Nature and all other disciplines of science.

* Yet if we restrict the model to a single space-time scale, needless to say we do not need the study of 5D metric equations and the model becomes a 4D space-time continuum. *

*Still even in a single plane we need to ad the ill-understood arrow of information or else we c**annot explain any change which is not related a 4D models to ‘motions and translations in space’, but motions=changes in form, from evolutionary models of time in biology to the growing arrow of information in history and economics. *

So we must differentiate, from previous errors what is right and ‘gives correct results’ (quantum, relativity, etc.) which we will merely consider a limit of the larger view of GST, from what is wrong and gives wrong results (the theory that reality has a single time arrow of expanding motion and entropy, which must ad the arrow of information and correct the wrong models built with a single arrow). I.e.

And to do so, it expands the concept of the single arrow of time, used today in physics – that of entropy≈death – the arrow of disordered expansion in space, proper of electromagnetism and thermodynamics; to embrace also the arrow of information, with opposite properties that implodes space, more proper of biological and historic and gravitational studies. For example in cosmology, the restricted use of a single entropy arrow affirms the universe will expand and die because space between galaxies expands as we perceive only light moving between galaxies. Yet when we ad the arrow of gravitational information, which collapses space into mass (‘time curves space into mass’ einstein) which physicists astoundingly under the dogma of a single space-time continuum, dismiss in their calculus of the expansion of the Universe, galaxies implode space on its star plane and expand it on its perpendicular perceived central black hole plane, and both balance the Universe.

That is indeed the key word of all the models generated by the use of the two arrows of time-space, entropy and information and its ∞ energetic combinations of momentum, which the Universe conserves: an eternal balance. Hence duality of entropy and information and then the trinity of time arrows, as we ad its ‘momentum/energy combinations’. becomes the philosophy of science that expands the limit of reality, beyond the restricted models of earlier science based in entropy and continuity.

**01: CYCLIC TIME AND FRACTAL SPACE**

**Cyclical time, fractal space, causality and frames of reference (Povs).**

*In the graph, left side, time clocks that measure the rhythms of reproduction=repetition and change=evolution of the Universe are always cyclical revolutions. This essential nature of reality, as a repetitive, cyclical patterns of time cycles, underlies all the work of science, which finds laws for those repetitions, yet astoundingly enough given its obviousness, the human species have lost in the past centuries his understand of cyclical ‘πime’, as physicists, a profession that started with the study of ballistics and lineal trajectories of cannonballs, simplified those cycles into Lineal time explained with a single numerical parameter, an artefact of measure which facilitated the calculus of speeds, distances and translations in space, with the formula v=s/t, but reduced human knowledge of the cyclical nature of those clocks and its natural patterns, and the ‘dimension of information’, carried in the form and frequency of those cycles. *

* This became the more clear with the discovery of Relativity, and the infinite clocks of time of the Universe: ‘time bends space into masses’ said Einstein, who defined mass as an accelerated vortex of gravitation (equivalence principle). But not only masses and charges are Nature’s accelerated vortices of time. Each biological species has also its cyclical clocks time to process information and so do computers, which are basically time-clocks and cyclical logic loops called algorithms. So while humans obviously are aware of the existence of cyclical patterns of nature, because they have abandoned the proper concept of cyclical time changes, and its second dimension of form, of information, they cannot fully grasp the fundamental principles of the Universe: its cycles of time-space, its scales of time speeds as space size (ab. ∆), and the ‘mind-mirrors and languages’ of information that allow systems to measure them, and interact with other beings in space-time.*

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.

All these truths unfortunately are hidden in the time equations of modern physics, so good for calculus so bad for interpretation, which need to be translated into cyclical time, measured by frequency (T=1/ƒ) and streamlined with a new jargon appropriate for a dual Universe, as opposed to the simplex jargon of classic absolute space-time physics, that lingers in all sciences and drags its understanding.

Time is cyclical. The so-called patterns of science are repetitions of events in time, due to a certain causality. If time were not cyclical, sciences would not exist. This little understood phenomena known to all civilisations before Galileo invented lineal time as a tool of measure of its cannonball shots defines also the reasons there are cycles of history based in the causality, which we shall reveal in those texts. In the graph we see some cyclical proceses in the Universe.

In the left physical cycles, planetary orbits, which we humans use to measure time in all our ‘clocks’, which are also cyclical. People are hardly aware of this fact, since they tend not to use the ‘parameter’ of cyclical time, which is ‘frequency’, but its inverse, lineal duration: ƒ=1/t.

The formulae are simplified in this manner. Since ‘frequency time’ is discontinuous and so difficult to ‘integrate’. So physicists prefer to uncoil, frequencies into lineal time. For example the ‘revolutions per minute of a car wheel’, multiplied by its perimeter give us the ‘distance’: λ x v = S. And besides in this manner we achieve more information, as we get the duration and form of in-form-ation of each cycle (λ) and its frequency, v.

But if you just want to know the total length of along time period, you use lineal time durations and so you don’t need to sum all those cycles to get the lineal speed: V=s/t.

In the left graph, we can see that all physical systems, and all its 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 further on equalised all the different clocks of the Universe, all the different cyclical actions of its species with a single mechanical ‘time clock’ elongated into an infinite duration.

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

**II. HOLOGRAPHIC PRINCIPLE.**

The first and most important element of the Universe are its dimensions, whose meaning escapes to scientist. We shall here define the 10 dimensions of the Universe, departing from the holographic principle, to teach you how minds construct the intelligence of synchronous space and time the sequential motions of life. All are in fact part of the same ª∆ºst being.

**Bidimensional time (information with motion) and entropy (space with motion) **

‘Simplicity is genius’ ; ‘Saper vedere’. *Leonardo on the topology of life and its harmonious forms*

‘I don’t have time or energy to do this.’ “Naked”* **Leigh*

*On the 2 substances of which we are all made, temporal information and spatial energy*

‘Coincidentia opositorum’ Cusa, *on the fundamental dialectic dualist logic of the Universe, which constantly brings the opposite properties of ‘Lineal entropy’ and ‘closed information’ into Complementary Spacetime energy beings.*

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

We made a huge first statement – that entropy is space and information is time, just ‘seen’ with different ‘quantity of motion’.

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

Look back at the previous graph. What is the main difference between lineal and cyclical time? Obviously that cyclical time is bidimensional and it carries ‘form’, information both in its form and the frequency of its cycles. So the holographic principle becomes solved by accepting cyclical time.

Yet if time has the dimension of height to complete a circle, we must re-define the classic 4 dimensions of time-space, as 2 dominant in TIME-space, height and length, which creates a bidimensional circle (to which ad the frequency of the cycle, or pure dimension of time), and those dominante in SPACE-time, which has now 2 dimensions, length and width.

And so because only beings with the same number of dimensions can transform into each other, we just have discovered an important conundrum of modern physics – how the Universe is built through the…

Let us then explain this first principle of the complex dualist Universe.

*In the graph, relative, local Past-Entropy and future-information, | and 0 combine for any system finite in space and time duration, into infinite fractal Ø-beings with a body-wave ‘momentum’; integrated along the whole world cycle of its exi=st¡ence into energy, which is conserved as a zero sum, when the cycle is closed.*

*This simple conceptual sentence resumes the interaction of the 3 arrows of time in physics, upgrading conceptually the conservation principles and Noether’s theorem (awesome math, blurred thought, as usual in humans without the right understanding of the 3 arrows of time).*

All systems can be described by a single generator equation of its three symmetries of scalar space time:

∆-1 Sp: Space-entropy-Past-motion ≤ ∆ ST: Present, Momentum=∂ Energy ≥ ∆+1 Tƒ: Form-Mind,

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

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

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

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

*The inverse properties of spatial energy and temporal information*

*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). *

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

*In-form-ative time, Tƒi Vs. Entropic> energetic Space, ΣSpe*** **

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

Small, still Vs. Large, moving fast

Tall, Perpendicular Vs. Long, Parallel,

Hierarchical Vs. Democratic

Bidimensional Height Vs. Bidimensional, Length,

Repetition Vs. Width-Growth

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

Informative Frequency Vs. Lineal Speed

Broken form Vs. Continuous, differentiable

Intelligent, perceptive Vs. Strong, fast.

Social, organic, creative Vs. Darwinian, destructive behavior

Future, evolved predator Vs. Past, energetic victim

Life arrow Vs. Death arrow.

Waves of space Vs. Particles of Time

Female, yin principle Vs. Male, yang principle

Masses, charges Vs. Forces, fields

Heads & senses Vs. Limbs & Bodies.

This resumes in its two fundamental equations: e x I = K (that describes any complementary system of energy and information, in space) and E<=>I (which describes it in time as a series of flows of transformation of energy into information).

*The constant transformation of one into another.*

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

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

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

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

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

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

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

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

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

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

Entropy=expansive motion vs. Information=Imploding motion

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

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

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

**Mind-synchronous space vs. time motion **

Mind-intelligence-synchronous space vs. cyclical time motions, with its two inverse arrows, taking away the reproductive cycle from its motion steady state is the duality in its most conceptual meaning.

The confusion arises because it is possible in Ælgebra, existential algebra, create all kind of paradoxical ‘dimensional beings’, combining the antinomies described and observed in reality.

*In a Universe of vital ratios of the type S operandi T, all kind of antinomies create a latitude for a scale of ratios, which becomes then in each of those antinomies, the origin of the scalar relative absolute ratio universe.*

IN THE GRAPH, the Ælgebra of the Universe is a dualist existential algebra, where a simple equation S operandi T, defines antinomies of ‘experimental observed scales’ which represent an st opposition, of yin-yang, from where a ratio *with two extremes in the pure S and t beings, and a scale of logarithmic exponential nature between both can be traced, will define a parameter of the Universal reality studied in each science. *

** THE ARROW OF INFORMATION AND ENERGY IN TIME.**

‘Shiva≈Yang≈entropy+Visnu≈Yin-formation combine to iterate in energy waves the 10.000 beings≈hairs of Brahma” *Eastern philosophies, on the 3 ærrows of ∏ime§paœ and its ∞ ∆-scales of existence*

**Trinity: E x I = ST-beings of energy**

But there is not two without three so to fully describe reality we must account for the third, intermediate boy-wave momentum/energy part of the being and then we can assembly systems which will have a tiƒ singularity centre that process the information and commands a system with a an intermediate body-wave, surrounded by a cyclical membrane that encloses it:

*In the graphs, the three arrows of time as choices of future, which each system compound in simultaneous space of organs that perform the three arrows-functions, entropy, reproduction and information. What they mean is simple: systems can always choose to use one of the three arrows and perform functions with its symmetric organs. So you can move with your entropic limbs, you can reproduce yourself with your body, or reproduce your cells with the food you eat, or you can think, perceive, inform yourself, guide the system with your head. **The graph shows some of the astounding variations of this simple theme, from the three ages of life each one dominant in a young-entropic, mature-reproductive, old-informative arrow, to the complementarity particle-wave of quantum physics moving over an entropic field, to the three horizons of evolution of organisms, which mimic the ages of the individual species; as they grow in information towards a third age; will become the fundamental cause and explanation of most events of reality, which is ‘simple, (iterative) and not malicious’ (Einstein). Since from 1, time comes 2, time and space, yin and yang, and from 2 comes 3 – the 3 arrows of time and its 3 topological symmetries in space – and from 3 the ∞ beings.*

The Universe is a space-time fractal that combines two arrows of time, relative past entropy=motion and relative future information=dimensional form, to reproduce=iterate complex, ‘present’ energetic beings, which are ‘present forms’ as they do not seem to change.

We thus define three ‘fractal’, broken arrows of time:

Entropic, planar lineal spatial motions (as lines are extensive, fastest distances between 2 points) that form the limbs/planes of all systems.

Spheric particles/heads of information, as the sphere is the topology that stores more information on lesser space.

Both have inverse properties: particles/heads last longer; have forms of cyclical time clocks. And so we say they are time-like, as opposed to entropic, brief, extended space-like fields/limbs; which merge into:

– C*omplementary, hyperbolic space-time body waves with momentum that fusion both type of properties and iterate the system, in a relative, dynamic present.*

Yet as there are only three topological varieties of space, there are no more forms/functions of space-time. Hence the existence of a fundamental symmetry in reality between the three arrows of time and the three topologies (and dimensions) of space.

In that manner we observe the three arrows of time becoming (graph 2), three organs of space.

And this symmetry between functions in time and forms in space, is the fundamental symmetry of the Universe.

Time indeed has 3 arrows:

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

O-Tiƒ: Information, defined loosely by Darwin in his theory of evolution of ‘form’, of in-form-ation, differently than ITS definition in physics, by Shannon, constrained by the dogma of entropy to analyse only its transmission through lineal waves, NOT its formal, Dimensional CONTENT, which is what in-form-ation means. Information is the more complex of the three arrows of time, directly related to the ‘mind mappings’ of reality by ‘singularity points’, using languages which are logic, cyclical mirrors of the external world. And so its understanding, which is the essential element to explain the whys of reality, being difficult to observe – as it is processed inside the singularity systems of the Universe – languishes in modern, experimental science without a philosophical logic understanding of it.

Time is cyclical and it has as all ‘π-cycles’, 3 ‘diametrical’ ages/dimensions that complete a world cycle. The 2 obvious, diametral opposed elements are entropy and information, whose opposite properties combine to give birth to:

Ø-ST: Finally its combination, Speed and its derived concepts of momentum and energy; which physicists do not know what truly is, as it happens all over in all systems of nature, too many to have a clear concept of it but of which we have a formula: motion of a mass, of a form; hence combination of entropy and information. We shall with the usual custom of a new theory that reforms slightly the symbols of previous models, use often the ∑w symbol for a world cycle of conservative energy, in which a system after going through the 3 ages of a world cycle of time-space, which includes a reproductive cycle, often in the middle (not the end of the system), repeats the same ‘present’ existence.

So finally we can define the fundamental particle of the Universe:

-∆ºst: wholes that deliver synchronous motions to those lower scales that deliver ‘quantum, genetic or memetic information’ (physical, biological and social systems), become symbiotic, as ‘parts’ and wholes that co-exist in a single ‘supœrganism’, the ‘abbreviated’ name we shall give to the fundamental particle-being of the Universe: a system made of limbs/fields of entropy=motion and heads/particles with form, which combine into ‘body-waves’ of energy, and co-exist in at least 3 scales of size from the point of view of its central scale as a being.

This fourfold reason, §paœ (organic space), πime (cyclical time), its causal combinations across scales of size (∆) and the linguistic minds that perceive it (º), will therefore also the four elements, ∆ºST, from where GST will ‘generate’ all other organic space-time beings, showing that the Universe is a fractal organism of spatial entropy and temporal information, carried in the ∞ clocks of its St-beings.

**II. THE FIFTH DIMENSION. SCALES OF REALITY.**

**∆st:*** *‘Grow and multiply’* Genesis, on the arrows of reproduction and social evolution*.

**∆+1: **‘Love each other as I have loved you’

*Jesus, on the actions of sharing that evolve a group of identical believers into a social god in a higher plane of existence *

**∆**: ‘A human being is part of a whole, called by us the Universe, a part limited in time and space. He experiences himself, his thoughts and feelings, as something separated from the rest–a kind of optical delusion of his consciousness. This delusion is a kind of prison for us, restricting us to our personal desires and to affection for a few persons nearest us. Our task must be to free ourselves from this prison by widening our circles of compassion to embrace all living creatures and the whole of nature in its beauty.’ *Einstein, on the relationship between human dust of space-time and the whole organic Universe.*

**∆ºSt:** Of the 12 Kantian categories, Schopenhauer rejects 11 as redundant, and retains only *causality*. He then discusses the a priori nature of time, space and its causality, the 3 innate functions of all monads (mind-mirrors).

*Introduction to Schopenhauer* “On the Fourfold Root of the Principle of Sufficient Reason’ (∆-causality, ºMind, Space &Time)

**The metric equation of the fifth dimension. Spe operandi Tiƒ = Constant.**

To make things a big more fun and complex, reality has added one more structural feature to reality, its scalar, fractal structure in smaller parts, we shall call ‘fractal points’ that organise through networks into larger forms we shall call wholes. So there is a fourth form of change: the social evolution of groups of fractal points into larger sizes and its dissolution or ‘death’ back to its smaller parts: ∆º±1

And that is all what is needed to explain the fractal, organic Universe of ∞ space-time beings in perpetual, repetitive cyclical change.

*-Tiƒ: Smaller space-scales have faster time cycles that encode the information of the Universe in the form and frequency of its cycles.*

*-Spe:Bigger wholes that deliver synchronous motions to those lower scales that deliver ‘quantum, genetic or memetic information’ (physical, biological and social systems), become symbiotic, as ‘parts’ and wholes that co-exist in a single ‘supœrganism’, the ‘abbreviated’ name we shall give to the fundamental particle-being of the Universe: a system made of limbs/fields of entropy=motion and heads/particles with form, which combine into ‘body-waves’ of energy, and co-exist in at least 3 scales of size from the point of view of its central scale as a being.*

All beings of reality are indeed made of lineal entropic limbs/fields, the geometry that moves faster, and spherical particles/heads of information, the ‘volume that stores more form in lesser space’, joined by body-waves of hyperbolic energy, which combine and iterate both.

And this happens, because the universe of scales of space-time has an astoundingly simple but profound metric equation: S x T = K, MEANING that from larger wholes to smaller parts it moves synchronically, and from smaller parts to larger wholes, it codes information. And together in symbiosis the information of smaller faster systems and the motion of larger, stronger wholes, create a present being, a body-wave of energy.

So the most important dynamic element of the fifth dimension is the ‘inverse’arrows of entropy and information of the lower graph. *And the fact that smaller beings are better with information, more intelligent and larger beings, stronger with more capacity to move larger wholes:*

Smaller systems run faster metabolic and informative cycles and so accumulate more information in the frequency and form of its cycles. And they code larger systems: particles code molecules, genes organisms and memes societies, because their smaller carriers are faster.

And vice versa: larger wholes accumulate more energy and are stronger than parts, so they can protect and feed them. So wholes and parts co-exist in several scales forming super organisms.

For example, a fly thinks 10 times faster (the scale is decametric), and so you cannot catch it with your slower larger being and it can co-exist:

5D METRIC defines the co-existence of all systems of the Universe, and explains why they form together super organisms.

**The mathematical Universe IS perceptive and social.**

*In that regard, both Leibniz and Descartes, the founders of philosophy of science, both understood as we shall see in detail on those pages, the need for a ‘mental universe’ if mathematics was really the language that better reflected the Universe. Indeed, since mathematics has three disciplines, geometry, which is based in frames of references that act as mind-monads, mirroring reality and Algebra based, in social numbers which are indistinguishable groups of similar individuals that come together as a whole ‘3’, ’10’ and finally ∆nalysis which studies the ‘social scales’ of the Universe, as parts become wholes, each scale studied by a science, from societies of particles and forces called atoms, to societies of atoms called molecules, evolved into state of matter and life beings, evolved into super organisms and planetary ecosystems, gathered around stars, socially evolved into galaxies*; the very existence of mathematics precludes the existence of a ‘social, scalar, organic, sentient Universe’.

So finite vital spaces gathered around a frame of reference; the three time arrows of entropy, information and its energy combinations, and social organic scales that evolve parts into wholes, are the ultimate properties of all fractal beings of reality made to the image and likeness of the whole. The previous graphs of the fifth dimension, and its ‘physical, biological and socio-economical supœrganisms thus show those scales, each one studied by a science, where in each scale, a self-centred mind, pov, will co-exist as a whole with its relative lower ∆-1 cellular/atomic, and relative upper ∆+1 social world/gravitational, universal scale.

Thus while we could do as current science does an external analysis of the fractal, informative Universe in pure abstract terms, to understand the whys of order, the will of survival of species and the constancy of forms that self-reproduce as all fractals do through its generator, ∆ºst particular equations, to explain why ‘mathematical space-time beings’ do follow mathematical laws, embedded in those frames of reference, we need at the centre of each being, a mind-mirror that perceives automatically, processes and reflects in ‘inverse order’, the Universe; which is exactly what mathematical systems do, as they are always self-centered in a frame of reference or pºv; and always study social numbers, whose fundamental operandi are scalar polynomials and its scalar ∫∂ calculus.

In the graph, the same ternary structure happens in biological systems (and through the class structure in social ones, escaped for most of the blog, to simplify and due to the fact we have another blog dedicated to them).

Let us then define with those simple principles of existential beings its most important equation… the

**III. WORLDCYCLE: ****THE 3 AGES OF TIME§PACES**

‘To be or not to be, that is the question’ * Shakespeare, on the function of timespace existence.*

“For you are ∆ºst (of Space-time). And to ∇ûst you shall return.” *Genesis, on the world cycle of timespace existence.*

‘ΓºΔ is the seer of time’ Saint Augustine; *on the program of timespace existence.*

We can now switch analysis from *the spatial, synchronous view of space-time cycles/arrows as organic parts of systems, into the temporal, sequential order, as time-ages of a world cycle of existence.*