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, in positive or negative terms.
This roughly makes possible without much detail to study ±4 motions, as there are roughly ±4, ∆ºST elements in reality.
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 ±∆ºst MOTIONS=8.
SO of all the different motions=changes of tim, shall consider roughly 8, according to the existence of ∆•st elements
±3 motions in the inverse directions of ±∆, S, and T, and the evolving motions of the ‘aristotelian dimension of mind’ perception, the 7th motion which shrinks (Poincare conjecture) the motions of wavs of information collapsing hem into a single point-mind/still mapping of the Universe, and finally the 8 motion=change, which is pure ’emergence’, transcendental perception by the mind of information coming from an ∆-relative future scale of 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 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 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 motion in space, as reproduction of form.
I. MOTION IN SPACE.
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 8 MOTIONS OF THE UNIVERSE
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 4 ∆•st elements, which again ONLY can give birth to ±4 motions in the inverse directions of ∆, •, S, and T, where the ‘2 dimensions of mind’ and its processes of perception, will complete the CLASSIC LIST OF 6 MOTIONS defined by Aristotle.
Indeed, again in this world of mechanisms and digital censorship, it seems nobody has read Aristotle on time and motion. 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 OF LOCOMOTION, 1/8TH of it. Not good enough.
Why 6 instead of 8? 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 formalize all actions 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.
-T∆: Generation (evolution) and Dissolution: Motions in ±∆T
-±Tiƒ: 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 8 dimensions, 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 8 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.
PART I: WORLDCYCLES
∏IME CYCLES & ENTROPY LINES
‘Using a term like nonlinear science is like referring to the bulk of zoology as the study of non-elephant animals“. Ulam
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 travelling to the past, string theorists invent 10 up to 500 Universes and so on.
Of all those imaginary creations of the ego-mind of man, the most dangerous needless to say is to consider that the creation of a baby black hole, the most powerful species of the universe here on Earth will poise no risk for mankind because it will ‘obey the imaginary mind’ of Stephen… King? because the outcome will be indeed a terror movie.
MOTIONS IN TIME AND ITS SYMMETRIES WITH FORMS IN SPACE.
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:
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:
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.
– Tƒ 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:
The graph shows the 4 quadrants of the hyperbola, that define the 3 existential functions of Space-time, as seen from the point of view of the subjective o-mind in the centre of the frame of reference. Thus we can talk of ±∆S,T functions for each of the 4 quadrant and use the graph to represent the oscillations of the ages of existence.
Consider then the positive gradient, and we can have a simple equation of the time-space duality:
Φ. Time Motion= Constant/Space Stillness.
This inversion can be seen easily in the relationship between ‘lineal time motion’ and the ‘space’ and speed in space of the entity in motion. But it can be applied to many sciences – from the Laws of gases P(t)=C/V(s), also a hyperbola to the cycles of life and death. In that regard, there are in 3 curves to clear ‘sectors’, when we take Y as the coordinates of space, and X as the coordinates of time, making the ‘curve’ also an equation of ‘fractal speed’ which we latter explain what truly means:
- Max. Spatial energy and Minimal Information, on the right side – the energy segment.
- Max. Information x Min. Energy, on the left side – the information segment.
- Max. Exi (e=i) in the central point of balance of the hyperbola.
- Finally to notice that the perception of the hyperbola from inside, from the central point of view is as a cycle.
Now the fundamental law of the logic Universe is the inversion of space and time states, but perhaps more powerful is the concept of an eternal Universe, where time, motion never stops, it merely changes from arrow to arrow, from past to present to future as it continues its motion. Time never change, even if it brakes into infinite pieces and goes forwards and and backwards in each piece of space-time.
Relational space-time beings, fractal parts of the Universe, have two dual systems, one of entropy and one of information connected with a present-body/wave, which never stop the flows of time. Each part goes forward and bacwarkd in its life-death cycle and in each of its information energy, ±∆ absorption and emission, through its space-time action. And never cease to move.
ANGULAR CLOCKS AND LINEAL MOMENTUM IS ALWAYS CONSERVED, so are its integrations into kinetic, lineal energy and cyclic, positional, potential energy and the information it stores.
This, happens not only in physics, but in bio-chemistry, as Alan Mehaute proved in his fascinating ‘broken space-times’ with fractal geometry: once energy ceases (as in the life-death cycle), then information,wrinkles, curves the geometry of space-time in any scale of the reality. thus from Se>To, to To<Se, through Se=To, steady states, the reality of the 3 arrows of time, the Max. Se, Max. To, and Se=To, maximal, minimal and stationary point, proper of all hamiltonians and functions do happen and time merely switch back and forth or in parallel.
Thus we can reduce it all to a simple Logic statement:
A. Times never stop their repetitive ±∆e,i,u actions.
Thus this is the simplest image for a wave of time for an action of space-time for a beat of existence – so many things can be explained with it that metaphors would be infinite – as ALL laws of the Universe will be deduced from our simple definition of space and time, a go and beat motion stop gauge information move consume energy, absorb it (feed), stop, move absorb emit energy and information (reproduce)…
It is such a simple game that its first combinations do not fail to astonish us because we start to feel that after it logically, bio-logically it can expand into all:
- Max. Space x Min. Time, is the beginning of the hyperbola, which is our youth of maximal spatial energy and minimal cyclical information, but as we move through a point of balance when both, time and space are maximised (S=T) the adulthood, we go down into Max. Time x min. Space, at the end of the ladder. We keep falling since birth down the ladder of timespace. And that is the meaning of life, a walk through the 5th dimension from relative past to relative future of our region of space-time. And the formalism, I have called it Æ, existential algebra.
The fractal generator: The symbolism of the ternary symmetry
All fractals have a generator feedback equation and the Universe is not exception.
Let us then write the fractal generator of time motions, the fact that time never stops, and it has 3 varieties of motions-forms that switch into each other ad eternal into an equation, we shall call the generator equation of the Universe. It merely states that |-Se<, past-entropy, >To future-information and its combined, ≈X present-repetitions, the 3 flows of time constantly switch into each other, ad eternal: Se<=X=>To
Generators are dynamic, cyclical equations which constantly create slightly changed new ‘cycles’. As such they are periodic cyclical equations of the form X < = > Y, where obviously X and Y are symbols as in all ‘Universal grammars’ linguistic representations of the Universal Generator (mathematical jargon in Space-time) or Universal Grammar (Logic Jargon in Time-space). So what is the Generator equation of the Universe? Easy the inverse metrics of time and space, written as the metrics of the fifth dimension, shown as a hyperbolic graph, origin of the existential algebra of the Universe and all other equations:
Γ. Universal Generator≈Grammar: Se x Ti = Constant Space-time: Se-Past<Present-space>Future-time
The many iterations, combinations, dual forms, inverse equations, derived metrics and symmetries of space-time originated by that equation will be enough to explain the meaning of it all. Trust me (-;
III. CYCLIC TIME – WORDCYCLES: MOTIONS AS PART OF THE 3 AGES OF EXISTENCE
‘From one comes two, from two comes three, from three the infinite beings in existence’ Cheng Tzu, Taoist master. First full understanding of the world cycle of existence.
The concept of cyclical time is not new. On the contrary as it is evident that all time clocks are cyclical, repetitive, from your watch to the pendulum, from the orbital clocks of ‘years’ to those of ‘days’, to the frequency clocks of waves – there is NOT a single clock in the Universe that measures time, which has not a cyclical form.
Now, this even a 3 years old child understands. And yet humans no longer see time as cyclical.
The true mystery is WHY physicists first and by extension the rest of mankind denied it in the modern age. Since all Asian cultures, and all western cultures till Galileo, did understand that time was cyclical’). The answer is similar to the reason why around 4 billion human beings believe that an ass breeder of the Bronze age, who saw a bush burning and claimed he had heard God in the cracking sound of the fire, is considered the man who understood better ‘God’, the mind of the Universe.
Yes my friend, Mr. Wenwang – the highest mind of mankind in the understanding of the cosmos and its ternary symmetries. Have you ever heard of him? We are going backwards ever since, and we will return to that. Because it was only when I solved the 8 baguas and its equivalence with the 8 varieties of topological manifolds combination of the 3 basic toroid, spherical and hyperbolic varieties, which become the 8 sub-ages of times-space, I understood Time-Space and understood myself, my past, my future, my present and could tabulate all the species of all the planes of existence of reality, from the 8-manifold ways of mental space of Buddhism, to the 8-manifold octets of quantum physics, to the 3 and 8 sub-ages of life, to the 8 planets and the 8 notes, the 8 cells and the 8 vowels of all the games of creation of the Universe, 23 that is the number of all names, the branching of all species, and permutations…
So in honor of Mr. Wenwang, we shall now consider the 3rd of the symmetries of the Universe, the 3 ‘ages of time=change’, and then consider the modern version of time in physics in the last of our confrontations of philosophers of science vs. physicists.
Let us first remember the dualities of Sp and Tƒ, which are the ‘first’ simpler’ steps, needed to reach the ternary symmetries of the full ¬Æ structure of the Universe.
The key dualities of cyclical, temporal information and Expansive, Planar, Space
Now the key to understand the Universe is to understand the complex meanings and multiple possible perceptions of those 2 x 2 elements, its ternary combinations (as space-time), and its symmetries and antisymmetries (inversion of properties). So algebraically the representation of the Space-Time Universe is the hyperbolic function:
INDEED transcending the material reality of those 2 formal motions, the logic underlying truth of all this is the inversion of the two poles of the Universe:
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.
- 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:
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.
- Tƒ or Informative time cycles, which carry the information of the Universe in the frequency and cyclical form of its cycles, is INVERSE in properties, as it actually accelerates inwards, as it becomes smaller, as all vortex do, V x Radius = Constant. Thus smaller radius, turn faster, as it happens with angular momentum, black holes or hurricanes. And they become ‘taller’.
So this shows some fundament facts of Sp vs. Tƒ. They are inverse. They are both FORMAL MOTIONS; but space has LESS of both; it is flat on the long term, and slow to stillness, and Time is faster and a cycle, which tends to be tall. So we can ask also define them by dimensions. Of the 4 dimensions used today, space tends to have 2 of them, length and width, and time, width and height. And so they combine in the ‘width’ dimension, which brings us the 3rd element:
- Sp x Tƒ: E x I: Reproductive, wave-bodies that combine the entropy of space and the form of time clocks into ‘meaningful’, workable parameters, ‘energy’ (entropy with direction) and information (form with meaning).
So again, here we must focus in the ‘Duality’ between the Inverted ‘yin and yang’, ‘cyclical form and lineal entropy’, Sp and Tƒ, and its combinations that create the ternary ‘formal motions’ of reality, which will structure all beings.
And realize that we can see them ‘static’ and then we will call them SPACE, or we can see them in motion and we will call them TIME. This is the way to proceed with the ambivalences of words and as we shall see also ‘mathematical sciences’, which after all start with words.
The ‘reality’, which is not human words, is made of two inverse elements, ‘Entropic extensions, which are lineal, planar, and decelerate’ and ‘informative cycles, which are circular, and accelerate inwards’. And its geometric properties are VERY important, because lines and planes are more extensive and connect two points faster, and cycles are more informative and store more information in lesser space. So those 2 extremes are ultimately geometric motions, formal motions, and form, and motion≈ function are related.
And in the middle, there is a present, exi, merge of both, which is the most important element, the body-wave that combines cycles and lines, expansive and implosive motions. So we can then see this 3 elements in terms of ‘temporal motions’ or in terms of ‘formal space’, and we will talk of:
- |-SpE: Past Entropy, lineal formal motions > Ø-ST: Present, repetitive, body-waves > Tƒ: Informative, cyclical time clocks.
Now we can SEE that reality and this is also VERY important, as a sequence of motions in Time, and it turns out to be the 3 ages of existence. Or we can see them as Forms in Space and they create the ternary structure of all beings of reality, physical, biological or sociological. So we break it in 2 equations:
- The equation of the 3 parts of space (which we can simplify into Sp<=>Tƒ, for some systems), that relate the limbs/fields of spatial energy and particles/heads of temporal information of systems, combined into waves. So we shall talk of ‘fields-waves-particles’, which interact together creating ‘physical systems-organisms’ and limbs-bodies-heads in ‘biological organisms’ and ‘energy-class, re=productive class, and informative-class’ in social organisms.
And this simple ternary scheme will be enough to describe any system of the Universe, because on top of that the mathematical universe has only 3 topological geometries, lineal-toroid limbs-fields, hyperbolic body-waves and spherical heads-particles, and each of them is the perfect geometry form to the function of lineal motion (toroid/lines/planes), reproductive processes (hyperbolic systems) and informative processes (particles-heads that store maximal form in minimal space).
- The equation of time, or the moving sequential flow of those 3 time motions which are in fact the origin of the 3 TIME AGES of all beings, dominated by those 3 ‘organic parts’, a young energetic age of constant motion, an adult reproductive age, and a 3rd age of information dominated by the particles/heads.
If we observe those 3 motions as ‘still forms in space’, they give birth to the 3 ‘ONLY’ topologies of our Universe:
The toroid, lineal entropic past-forms of limbs/fields; the spherical, informative, ‘future forms’ of heads/particles that DID guide the whole system towards its future; and its combined, hyperbolic, bodies/waves in the middle, that REPRODUCED the system.
Thus a deeper analysis of time cycles shows them to have always 3 ‘ages’, ‘phases’, ‘arrows’, ‘states’ or ‘dimensions’:
- < (symbol of expansion flow), SP: Past, entropic motions, dominant in the youth, with a toroid, lineal expansive form.
- > (implosive flow), Tƒ: Future-form: a cyclical time vortex proper.
- ≈ (symbol of iterative wave): ST: Present-iterative motions that don’t seem to change; or dynamic, body-wave motion
And this gave us the 2 ‘variations of the Generator which described existence in Time and Space, easily written as:
Time: Sp (young expansive age) > ST(adult, iterative-reproductive age) ≥ Tƒ (informative age) ≤ Sp (Back to the past: entropic death)
Space: Sp (Limbs/fields) ≤ ST (body-wave) ≤ It (head-particle)
Those symmetries correspond in space to the only 3 topological forms; hence systems can only be constructed with those 3 topologies that define as the graphs show all organisms and physical species.
The 3 arrows=motions of times.
Now I realized I could consider this ternary ‘reality’ in ceteris paribus analysis as 3 pure time motions. Entropic expansive motions, repetitive body-waves and informative, time vortices.
Suddenly I realized, I had solved the way the universe created its beings, from the mystery of quantum physics, (the so-called wave-particle duality, as all physical systems were wave-particles moving on an entropic, accelerated field), to the reasons why evolution always worked right, choosing despite its seemingly infinite options the few ‘efficient’ aforementioned topologies (so wings were flat energetic members, and eyes spherical ones).
Namely they were the only available choices of topology. Alas! Curiously enough the great ‘mystery of Darwinian biology’, which he had also wondered about – the ‘right choices of the seemingly chaotic process of evolution made sense, because after all there were a mathematical planning NOT of course a religious design. And the biggest Mystery of Physics (the complementarity wave-particle) also became resolved.
And this was to me the proof that I was indeed on the right path of T.Œ, because the 2 principles of truth, ‘Simplicity, Minimalism (Occam’s razor)’, and Correspondence (a theory proves previous ones besides bringing more solutions), were met.
Equations of physics and biological designs kept pouring into the model and finding its whys, fitting all nicely. Something scientists did not even try to understand merely describing it now had easy whys, in the ternary symmetry in time and space of the Fractal Generator of the Universe, truly the ‘Equation of God’, not a ‘Particle of God’, not a ‘substance’, but a Logic, mathematical Symmetry of space-time that created us all, the details of that ‘thought’.
But if we were made of time-space cycles and forms, of this ternary ‘Generator’ structure seen static in space as a formal organism, and moving in time as a series of cycles, it was necessary to analyze each of those 3 parts of all beings, and decide its inner structure and hierarchy.
Now, I am afraid we are going to refound also logic. I know I’m nuts. But what can I say. We cannot go further without a new logic, because if time has 3 arrows, then the simple A->Causes b does not work. It is more about ternary logic and symmetries in space, time and 5D. It is more about the GENERATOR fractal equation of the universe and its infinite variations.
So Non-A logic is a huge new science – the study of the symmetries between the 3 motions of time and its sequential ages and the 3 spatial forms and its organic parts. Its ‘Generator feed-back equation’ will be essential to describe all the beings of the Universe:
Γ. Sp (young-past-entropic limb/field) ≤≥ ST (iterative, adult, present wave-particle) ≤≥Tƒ (future, informative head/particle)
Where the symbol < means an expansive, energetic motion, > an implosive, informative one and = a repetitive present motion.
All what you see is encoded by that formula, either in space, Sp<ST<Tƒ (whereas the limb field provides entropic motion to the ST wave-body, and the Tƒ head particle provides information, and the ST body-wave reproduces the system), or in time, Es>ST>Tƒ, its inverse symmetry where energy young motions slowly warp into the adult and finally old age of information.
So we shall maintain the classic concepts of science and talk of 3 space dimensions, while dividing the dimension of lineal time in the 3 motions of time that we shall call 3 ages, to keep the convention that time has a 4th single dimension:
3 space forms symmetric to 3 time motions, but ordered in different ways Sp<ST<It, and Es>ST>Tƒ, how simple and beautiful the world cycles of space-time reveal the essence of the Universe.
Those 2 simple laws, and its equations, the equation of the life-death cycle:
Es (youth)>S=T (maturity) > Tƒ (3rd age) << Es (entropic death).
Where > means an implosive, informative arrow of time and << and entropic arrow of death.
And the metric of the 5th dimension, the fact that the product of the size and speed of time of systems is relatively constant for different species of the same family (physical species, biological species) ARE the most important equations of science discovered since Relativity, and yet nobody was impressed.
Apart from explaining the life-death cycle, it explained the reason why information flows perfectly from lower scales (genetic scales) to upper wholes (since lower scales preserve more information) and there is however entropy, loss of energy when you move upwards, but when you move downwards, from wholes to parts, there is no loss of energy – so your cells follow your hand.
Suddenly I realized those scales of size were symbiotic and organized co-existences and synchronicities that created organisms and physical systems.
And so in mystical terms, the 5th dimension the dimension of future, of information, as parts must come before wholes, was also the dimension of eusocial evolution, of love, that justified the messages of love prophets, the Darwinian love of survival of the species, not the individual, the organization of history in scales of larger social units, since the future, the whole was stronger than the parts and survived. So I found that besides the actions of motion, energy and information there was an action of social evolution in all beings. That was the program of the Universe, I termed with the 5 letters each for each action of the 5th dimension:
∆æ: acceleration-motion, ∆e: energy feeding, ∆œ: iteration, reproduction, ∆i observer’s gauging of information and ∆û: social evolution of parts into universals. This was the will of survival, which explained the mathematical space-time cycles of physics and Nature, and history, which merged physics, biology and sociology
An entire Universe of whys to all sciences and harmonic laws was opening in front of my eyes.
The worldcycle of existence: travels through the 5th dimension.
Now as I was a poet of words, a painter of images, with my Sp: I=Eye<Wor(l)d: Tƒ, my spatial and temporal ‘human senses’ , my function of STi-ence, before I became a mathematician, I like to extract the deepest ‘genetic grammar’ of the English language, so you will see those ‘games of words’.
I think therefore I Exist. That was the title of my first short film (-; Present is all, it is existence in preSenT, to combine your spatial and temporal functions into energy and information. So you will see in some texts, the Function of Existence in present space-time, as an entity of Energy and Information, written as Tƒ<ST<Sp.
This is a deep word, Tƒ is your head-particle of logic < your flow of form and orders to your ST wave-body of energy and information, which exists in a field of space-time, St, where it will perform your actions.
So all it is resumed in the function of existence, To Exi=st is all (if we were to use the concept of Energy and Information as rough synonymous of space-time). The details of the Infinite Cycles of Existence of the Universe is what ExiStential Stiences do. Play with words. Do not think that only mathematical languages display all the beauty of the Universe, love and live with your human I=Eye<Wor(l)d, do art, believe in social love, the essence of the 5th dimension, BE HUMAN, because you ARE and your languages MATTER as much as those of mater do
So to fully grasp the 3 x 3 symmetries of the Universe, specially, the co-existence of several scales of infinitesimals into larger wholes I coined the concept of a super organism, each being a cell of the species – the super organism of the larger scale of the 5th dimension, which lasted more in time.
And man a super organism, each citizen a cell of mankind. I resolved then the meaning of Gods, the subconscious collective of a civilization, I classified them all, find their cycles of life and death, solved the 3 ages of its mental life, the 3 styles of art of all civilizations, the young epic art, classic and baroque informative age. And finally wrote the sequential equation of all time space world cycles of life and death:
Es: Youth (max. Spatial Extension) > ST: Adult, reproductive age > Tƒ-Informative, Future old age.
So the 3 topologies of space that formed beings have a sequential order, the 3 ages of life. Now we can always see a system in space or in time. And with any degree of detail. Let us then see some of the elements of the previous graph.
Let us see of those symmetries the 3 horizons of evolution of species, in its symmetry between spatial forms and temporal ages; starting from the earlier biological species, through the human being, ending in the Whole, the globalized planet, which contrary to all abstract, anthropomorphic descriptions of reality is NOT longer evolving us, human beings… as it SHOULD BE if T.Œ, the Organic paradigm dominated our world.
Each scale of size of the fifth dimension was then study by a different science, from the smallest quantum physics through chemistry to biology, history, Geology, astrophysics and cosmology. But only the metric laws of the 5th dimension and the properties of cyclical time could find the common laws of all of them, as all species followed a world cycle:
In the graph, the meaning of life and death, a world cycle of time, which is similar for each physical and biological species, and its equation, in the ¬Æ, non-Aristotelian, Non-Euclidean Logic of the Universe of cyclical time.
In the graph, we have summarized all those scales and the 2 relative inverse arrows, which make a life-death cycle a ‘loop’ of time in 3 ages moving also upwards and downwards in the 5th dimension, origin of the ‘Generator Equation’ of 5D Fractal space-time, poised to become the most important equation of science in the XXI century, as it resumes its 3 elements, the motions up and down in scales of the 5th dimension, the 3 ages of time, dominated each one by the 3 parts of all organisms, which respond to the 3 only topologies of geometrical systems’ – the young energetic age dominated by lineal toroid fields/limbs of entropy of maximal speed between 2 points, the mature, reproductive age dominated by present hyperbolic body-waves and the future-informative age dominated by spherical particle/heads of maximal informative storage:
Γ. ∆-1: Sp (past-lineal, toroid limbs-fields) ≤≥∆: ST (hyperbolic-planar body-waves) ≤≥ ∆+1 (spherical future particles-heads)
Whereas we introduce some basic symbols of 5D Metric, ∆ for the 5h dimension with an index for its planes, Γ, the G-enerator equation, which can be studied for each system in detail and for each part in new ternary fractal divisions, <, the arrow of expansive entropy, > the arrow of future information and ≈ =, the arrow of present balance, ST, the energy and information mixture of Sp: Spatial Extension and O-cyclical, temporal clocks with maximal form which body-waves mix in present states.
As both arrows can happen between entropic limbs-fields and waves, which move informative heads-particles and each part can be divided in new ternary parts (so for example your informative nervous system divides into a lineal spinal chord that controls the energetic body and limbs, your brain with a hyperbolic grey matter and your smaller eye, the focus of your information, making you an I=Eye (max. Information; Tƒ) < Wor(l)d=ST verbal brain: i think therefore I exist: max. balance, the site of your will and finally the spinal reflex past system of control of your external motions – that obsessive part of a system of time space physicists study so well, but so simple when you know the whole depth of time space (-;
The old age is one of information. ≈ means a repetitive, parallel wave of present, and… uh, where it is < the arrow of entropy? It SEEMS that all goes > warping space into mass, or ≈ repeating itself. Alas! What else there is there in the Universe after conception, young expansive ages, repetitive, reproductive maturity and old, informative age, which erases < entropically information to close the ‘world cycle’ of existence.
Thus for each world cycle of existence, Death is the final reversal of the arrow of informative time from past to future into the arrow of disorder from future to past or entropy arrow, <.
And to compensate the two arrows Sp> Sp x Tƒ (ab.ST)>Tƒ, DEATH must be TWICE << entropy.
It must be Max. return to Sp, Tƒ <<Sp; a huge big bang expansion of information into Space with no form.
Death = Max. Sp x Min. Tƒ= Sp->∞ x Tƒ->0.
So when you die in an instant of Time, Tƒ->0 all your information returns to space, the cycle of existence ends and you expand in space, burn into atoms in the incinerator; insects eat you up, dust of space time you become.
It is also the equation of the big-bang, when in an infinitesimal moment of time, the previous Living Universe, expanded wildly under the inflaton field to enormous distances, in a single Planck quantum of death.
See the beats of existence, of the 3 arrows of time, of lives and deaths, of opening and closing wings, entropy-form…
It is the combination of the 5th dimension of space-time and the 3 ages of life what solved that equation, as we ALL BEINGS ARE BORN on the seminal faster, lower scale of the fifth dimension grow fast and then die back to the lower scale. And then I made to myself a big statement:
‘Existence is a worldcycle through 3±n planes of the 5th dimension’ (:
Indeed, Klein defined a dimension as a system, which had a co-invariant ‘space-time metric’, which allowed displacements through such dimension. And the co-invariant law of the 5th dimension, [Sp x Tƒ =K]∆±1, defined the existence of any being in the Universe as a travel through the 5th dimension, which implied a ‘growth in size’ (Sp), coupled with a slow down in its temporal clocks (Tƒ), limited to 3 of such planes; which created a series of ‘families’ of ‘world cycles’ (no longer world lines as in 4D physics, since now each time cycle had a new dimension of ‘height, and growth’).
So all beings are born in a seminal relative infinitesimal scale and grew larger, as they multiplied in clone cells and reorganize them into bigger wholes, from the quantum/cellular to the matter/organic scales (biological and physical systems), emerging as slower growing beings into the outside ∆+1 social, ecosystemic, gravitational world, to return back through an expansive, Sp, explosion into the moment of death.
So I wrote the equation of existence, of all world cycles of the Universe; as they are conceived, as points of pure genetic/ memetic/quantic information that reproduce, evolve, emerge as single beings, live 3 ages and explode in a relative big-bang death, back into a flat plane of space without motion.
The only difference between the beings of those scales was the size and length of the world cycle, as larger beings had slower time cycles and lasted longer, but all have the same subjective time existence – an insect beating 10 times faster and living 7 x10 years.
And each of those infinitesimals who become wholes, and live and die through 3 arrows of time, back and forth, could be described now properly with the logic, mathematical formalism, of all complex space-time languages, which reflected in its monad minds the fractal structure of the universe.
The 3 motions=ages of time and its parallel forms of space.
This always surprised me. How people could believe in a single infinite time duration if their ‘time cycles of life and death were all similar to those of all other beings and all were finite?’
Let us give you a first hint to what might be considered the most important sequential beat of time – the finite life death cycle of beings:
All systems are born as seminal seeds, including physical systems (crystals, black holes), growing, going through 3 ages and then dying away back to simpler forms. So they had to be made of finite time cycles which somewhat warped, wrinkled their vital spaces.
But T.œ requires topping the cake, with an eternal equation – why we exist? The answer is organic and obvious: to survive. As if we didn’t we would not exist. And then all comes to the question, how we survive? And this is an organic, biological question: providing energy and information to our ternary systems, and further on, evolving into larger, more powerful wholes, through the 5th dimension. And this simple truth is the program of the Universe.
It is interesting to remember the founding fathers of science, which ARE NOT the Mechanists of the XVII century but the Greeks who understood it all:
– Democritus said the Universe was made of atoms, and atoms had 2 qualities ‘MOTION AND FORM’. Yes, he didn’t see them so he went straight to the philosophical essence. This, Plato understood. And he divided motion into ‘biological motion or internal change’ and physical motion or external locomotion. He understood.
– Aristotle, the highest mind of the western decoupling, only comparable to Leibniz, went into detail and classified motions into 6 types, and it is worth to mention:
– Motions in lineal space, or locomotions, the only one physicists study.
– Motions in a time cycle, divided into ‘conception and birth’, change of state (internal form or quality motion) and extinction, dissolution.
– Motions in the 5th dimension, which he divided into growth and diminution or ‘motions of quantity’.
He understood without the need of telescopes and microscopes the essence of the Universe.
Yet if we consider a simple graph of those ages in terms of yin-information (broken, warped forms) and energy, yang (continuous lines), we will easily realize that the same knowledge was already in the Chinese-Korean traditional culture:
All systems are a sum of quantic cycles that absorb, emit and transform spatial energy into temporal information: nE<=>mT. That equation, decomposed sequentially in 3 phases, a first age of max. energy, a second age of balance and a third age of max. information, explains the existential cycle of any space-time field.
In a graph with energy and information coordinates those 3 ages resemble the geometrical form of a cycle that moves upwards, absorbing energy and information till in its 3rd age looses its temporal energy, collapsing back to its origin. On the right side, the same 3 ages show in the Taoist, Korean flag, where a line is the symbol of continuous yang-energy, which yin-time quantizes into ‘in-form-ation’, from youth to death.
The graph shows in the left the half-wave cycle of existence of all beings, with its final ‘cut-off’ back to the beginning in the moment of death – without a Present middle age.
So they are the ages, of Max spatial energy or youth, mature balance, E=T and old informative age of maximal temporal information after which a system dies away in a big-bang explosion or dissolution in the moment of death. In the right the Eastern Taoist symbolic interpretation of those phases
Unfortunately the 3rd age of time, and the whole time cycle must be considered an accelerated vortex, not a fixed steady state cycle. This small difference understood by Einstein which studied the laws of General Relativity and mass-cycles as accelerated vortices, and non-lineal geometries, are the key to fully grasp, those 3 arrows of time-life as a growing process of information, which ends uncoiling the ‘clock’ in death.
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 ye