The path that can be traced is not the eternal cycle:
the game of yang (energy) and yin (information)
that combine to reproduce 10.000 waves of existences.’
Tao-Te-King, Lao-Tse, on the actions of exi=stence that all beings of energy and information trace.
A SCALAR UNIVERSE OF SYSTEMS OF SPATIAL ENERGY & TEMPORAL INFORMATION.
All systems are made of the same 2 formal motions; of ‘temporal energy’ – lineal & angular momentum; potential & kinetic energy, particles & fields; heads & limbs, reproductive, middle & informative, upper classes, which combined, create the ‘living systems’ of the Universe that organize social herds into organisms, new wholes of a larger ‘scale’ of the 5th dimension. The duality of energy and information arrows, which combine to create the systems of reality, and its structure into parts ‘fractal atomic/cellular/individual points’, which become wholes join by networks that distribute energy and information to all parts in an ‘organic pattern’, are the ‘∆’≈scalar and ‘Se x Ti’, spatial/temporal, ‘energetic/informative’ underlying elements needed to construct all realities. General Systems Theory (ab. GST) thus formalises the Universe as a fractal of space-time beings’, whose ‘Generator fractal equation of Space-Time defines logically what all systems are: polar systems of particles-heads of temporal information guiding body-waves of energy that move them over an underlying field-territory of vital space: ∑∆-1: Spe <∆ST > Tiƒ ∆+1
Philosophy of science is the summit of scientific disciplines, which attempts to answer with scientific data the big questions about reality and existence, which were in the past the themes of religion and philosophy.
The first simplex vision of philosophy of science appeared with physics of motion and defined the Universe as a game of locomotions, performed by machine-like entities, programmed to move. It was a simple image of reality that suits science for 3 centuries; but with the development of biology and evolution theory first, history and economics and finally theory of information, systems sciences and cybernetics, the model became too simple.
So in the XX century, general systems sciences tried to enlarge the philosophy of the Universe, introducing a new paradigm, organicism. At Macy’s congress at the death of Einstein, Information theorists argued that to construct all systems, entropy, energy, locomotion as the meaning of time was not enough. Information had to be added to explain the arrow of life of increasing form, in-form-ation, the arrow of technology, and the arrow of history.
In all those sciences information increased with time, making systems more complex, evolving them from a simplex machine, into a complex organism – even metal, the complex atoms of what machines were made, were learning to handle information and evolving machines into organisms. So a new model of philosophy of science appeared, and the task of general systems sciences was to formalize it widening our definitions of time and information.
Actions: systems and quanta, made of vital, moving energy and informative time
In the graph, the philosophical concept that unifies the ‘behaviour’ of beings, is an action of energy and time, in which the system seeks for motion and form to survive. Systems constantly exchange energy and information to maintain its body-wave and particle-head in existence. Existence becomes then a sum of actions, which combine energy and information, ordered causally, whose zero sum gives birth to the being’s worldcycle. All entities accomplish its physical and biological actions, in the least time, trying to maximise those exchanges of energy and information, during its existential worldcycle.
Physics also points to such direction. On one side quantum physics had discovered that vacuum space was quantised in pieces of energy with both motion and form, in-form-ation, called Planck quanta, whose unit was actions of ‘energy and time’ , ‘energy and information’ in Relativity. And all physical systems were made of those 2 ‘substances’ or rather motions with form.
So the principle of complementarity stated that physical systems were energy waves guided by informative particles. This duality of all systems of nature happened also in living beings made of bodies guided by informative heads/nuclei. So we could establish a duality in all systems, made of body-waves of spatial energy and heads-particles of information: Spe (body waves that move with its energy) > Tiƒ (Particles-heads of information).
So the key new principle of quantum physics, with wide application to all sciences, is its definition of all systems of nature as a complementary being of quanta of energy and cycles of time:
Universal constant of action (h) = energy-space (e) x time-information (ƒ)
Actions of energy and time, is what the Universe is made of. As we do have only energy and time, combinations of actions are minimal dualities, which become in itself basic time arrows of future self-similar events:
e x e : Pure entropic big-bangs of expansive space (death events)
i x i: Pure informative implosive generation of seeds of information (birth events)
Exi & I <≈> e: arrows of combination and transformation of energy into information (life/informative/old age arrow) ir information into energy ( energetic /young arrow)
And so are the topological forms that better manifest those 3 arrows of time (toroid, energetic topologies, informative spherical topologies and hyperbolic combined ones).
So reality unfolds departing from the duality of energy and time whose multiple meanings and manifestations carry the creative activity of the Universe. And yet, we can use as a guidance for the discerning choice of theories and models, those initial laws. For example in quantum mechanics, the pilot wave (De broglie>Bohm interpretation), which respects the duality ‘time particle’, ‘energy wave”, and its causal interaction is the natural ‘theory’ that better fits GST; in biology it will easy give birth to topological evolution and a simple explanation of the 3 ages of all systems which increase its information departing from a young, energetic state, through a series of fluctuations in the dominant actions of the system (energetic young actions, reproductive actions and informative old actions), and so on and so on.
To have a much larger, all encompassing view of reality will therefore enlighten our choice and explanation of all other detailed elements.
Thus GST constructs the Universe with only 2 concepts which once defined in its widest meaning as energetic space and temporal information, will become the underlying structure from where all other complex details will spring.
And vice versa, in its final ‘simplification’ the combination of both elements, energetic motions and dimensional forms, create an action, the unit space-time event of all realities, which again can be subdivided in only a few types: ±∆e, i, (+e: feeding, -e: moving, +i: perceiving, -i: communicating; exi: reproducing, ∑e,i: evolving socially).
This duality of energy-information, coupled with the fractal structure of parts that become wholes, joined by networks that distribute efficiently energy and information to all parts (creating an organic system, by definition a network of energy and information, symbiotic to a series of smaller particles, which conform a topological network specialised in the absorption of e & i quanta), is all what we shall need to define the structure of the Universe and all its elements:
particles-waves and head-bodies will then form complementary Spe>Tiƒ systems which will feed on quanta of energy and information from a lower scale, ∆-1 and organise those quanta into ‘topological systems’, able to survive and maintain its balances as it goes through the Universe ‘enacting’ space-time actions of absorption, emission and reproduction of its internal quanta (∑±∆e x i)
Actions are possible because they combine a head/particle of information which stores time cycles in its memory and combines them creatively to guide the wave-body towards fields of new exi. So it is the complementarity of a particle that guides a body that moves it and reproduces the system as it moves in other regions of space, time, what constantly creates all kind of dual systems in reality:
Body-wave of spatial energy >Particle-head of temporal information, witch have the planar, lineal form and cyclical one of the maximal systems of energy (lines, shortest distance in space) and time (cycles, maximal volume of information).
The understanding of actions of ‘temporal energy’, of ‘information’, ‘forms-in-action’, as the unit of reality is an enormous advance in the philosophy of reality, which astoundingly enough has been completely overpassed by philosophers and scientists. Since actions DEPART from a physical description of reality, and transcend into a vital, intelligent analysis of the Universe and all its systems, which acquire purpose – to survive, detail, the actions beings perform to achieve that survival, intelligence and freedom, the choice of actions in each quantum cyclical moment of space-time existence of the being.
INDEED, actions are made of ‘vital energy’ and ‘intelligent information’, and while we can describe them quantitatively in simplex systems, it is precisely our capacity to understand those actions in ‘human terms’, as intelligent, vital actions, or ‘drives of existence’, proper of biologic beings, what opens the unification paths of philosophy of science explored in this web.
On the other hand, relativity had found a scalar Universe with at least two planes of space-time, euclidean light space-time, which we see and non-euclidean gravitational, curved space-time we do not perceive and found there were multiple speeds of time clocks in different regions of the Universe.
So the fundamental tenants of an organic description of a dual universe of energy and information was NOT in contradiction with present science, but on the contrary it was the needed structural upgrading to fit properly the discoveries of quantum physics, relativity and biology, which dragged on 3 millennia definitions of time as Aristotelian (single causality arrow) and space as Euclidean (continuous made of abstract points without breath).
The task though was overwhelming as it implied to go back to the foundations of logic and geometry and fully develop a non-aristotelian causality of multiple time arrows (Non-A) and a Non-Euclidean mathematics of ‘fractal points’ with volume through which multiple flows of energy and information could cross. This Non-Æ formalism is what i developed in the 90s and applied to philosophy of science, completing the model of GST (ab. for general systems theory or Fractal Generator of space-time), which I introduced at the 50th anniversary of Systems Sciences (ISSS Sonoma Congress)
Thus, it took 50 years for a working formalism to exist as complex systems require more information to be described. And the main mathematical concept behind an organic, informative Universe – the concept of fractal information and its models of self-reproduction and organization did not appear till the late 70s.
Here is the model of the organic, fractal universe, which requires to understand time in terms of two dimensions motion and form, energy and information, hence in terms of cyclical time, as two dimensions create a time cycle.
0|. Cyclical Clocks of Information vs. lineal, entropic motions
In the left graph, all time clocks and 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 to measure motion in space: v=s/t – an artifact of measure. As physics became over important in a civilisation dedicated to evolve machines and weapons, this concept of time, became the unique time concept, even after Darwin brought about his concept of evolutionary time and Marx and other historians, the concept of cycles of time in history and civilisations. Time, which means change=motion in philosophy, however cannot be reduced to a simple formula, v=s/t that equalises all the different clocks of the Universe, all the different cyclical actions of its species with a single mechanical ‘time clock’ of measure elongated into an infinite duration. Amazing as it seems though, this self-evident truth is not understood by scientists. If anything with the work of Einstein, which refined the use of lineal time to measure motions in space, it has become more encroached…
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.
Some key properties of cyclical time self-evident in the graph, which will have enormous importance in the understanding of the existence of all space-time beings are:
- Multiple, finite, fractal, closed number of time clocks and space regions: as all cycles enclose an internal and external regions, separated by the cycle (first theorem of topology and knot theory). Cyclical time is therefore in accordance with the quantum nature of space, found by quantum physics.
- Different speeds of time in different regions of the Universe, as all cycles have different finite size, so the particle that traces them will close the cycle in different durations. Cyclical time is therefore in correspondence with Einstein’s relativity which found the Universe to have regions with different time speed.
- Storage of information, which is ‘form’, and cyclical motion, stored in those clock-cycles. So information is the still perception or form of a time cycle.
So for the future evolution of a more comprehensive theory, we consider that all the ‘systems’ of the Universe (anything that exists), there should be at least two elements, defined by their form and function, both related to each other: energy or entropy or space (any expansive motion, hence perceived as extended, planar or lineal space) and information or form or time (implosive motion, hence perceived as implosive, cyclical motion)
Why then we have taken so long to define time as cyclical information, and cyclical motion? Because physicists canonised a single, lineal time, due to their worldly profession, which was to measure the lineal extension of military weapons. 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’.
So what is time? We have two versions of its widest meaning: time as change, and so all type of motions can be defined in terms of time, of which Aristotle defined 6, generation, growth, reproduction, locomotion, diminution and extinction. So physicists study one of those motions, locomotion. Biology most of them in its dualities (growth and imitation, reproduction, generation and extinction).
‘To talk of non-lineal physics is like saying that zoology is the study of non-lineal elephants’ Ulam,
Since most space-time events are complex, cyclical motions.
In the graph, a bunch of lineal physicists studying each, only 1 of the 6 time motions of the zoo of Fractal space-times, which are made of the 6 canonical motions of a world cycle of a super organism: generation->evolution->growth->motion->reproduction->negative growth (diminution)->extinction, which form a o-sum or worldcycle.
Yet each of those motions in short distances seems lineal ‘walls, spears, ropes, snakes, trunks and mats’.
Only when completed they are always cyclical (small lineal geodesics of curved Earth, Lineal euclidean geometry, limit of the larger curved pan geometry; special relativity, limit of the larger curved General relativity, lineal momentums integrated into a conservative energy cycle, small lineal actions of life, part of the curved world cycle of existence, and so on)
Only physicists seem happy just touching and measuring with numbers, reduced parts’≈single time motions of the whole ‘non-lineal elephant’ – the super organism tracing its world cycle; blindly self-admiring its lineal ignorance. Wisdom, Wiesen, Saper Vedere, Veda requires to understand that ‘the languages of God are infinite’.
And so to start with a truly comprehensive time theory as the one provided by 5D metric equations requires to explain besides ‘physics of time’, biology of time, and further on study historic time, which as we shall see is close to biological evolution than to physical time-measure. Space then appears to us as fixed, still or at least with less motion than time.
But then there is the fact that all systems of measure of time are cyclical, even those used in physics. And so we must also define time in terms of form, of in-form-ation as cyclical motion:
In the graph, some natural cycles of time and the reason why we think of time in lineal terms, since physicists made of locomotion the only form of time=change canon-ical to science to measure cannon-balls.
The reader should forgive my skepticism about human intelligence manifested in the sentence of Aristotle, but I found in my short years I went to scientific congresses that indeed humans believe, and they don’t really need more than memorise beliefs, without any reason. So abrahamic religions, which anyone reasoning can realise are fully idiotic statements about life, death and the origin of the Universe, have 5 billion believers. Lineal time which anyone who can reason easily realise to be just a reductionist minimal part of the entire time range of motions is believed by 7 billion people. And the creationist theories derived of it – notably the big-bang – have merely replaced religion with similar absurd statements, based in lineal time, and a single arrow of time – entropy, for the entire’ continuum’ Universe.
Unfortunately the dogmas of abstract science, many as absurd and illogic as those of religion are however even more extended, since some are expressed in mathematics and people have for numbers today the same kind of awe they had with words when they started to speak – absolute belief, as if numbers could not cheat or merely reduce its description of reality as physicists do to a minimal part of it.
But believers are satisfied and self-contained in his beliefs, they protect with utter zeal. So as the more complex view of time and space of this blog is not a ‘belief’ shared by physicists, the ‘High priests’ of modern science, i don’t expect anyone to read much of this blog; still for the few humans that still reason those graphs should be obvious. Physics studies only locomotion, and uses time as a parameter to measure that time of change, but in the left side we can see infinite other motions and changes. So we shall talk of lineal vs. cyclic motions, of form vs. motion of such dualities and adscribe them to generic ‘human terms’, reduced finally to two concepts, lineal, spatial energy and temporal, cyclical information.
And define a much more important concept -that of the holographic principle that construct with both reality and its systems.
01. The holographic principle of creation. A universe made of quantum actions.
The great revolutions of physics of the XX century were relativity and quantum physics, which can be resumed each one in a principle and a formula. The principle of relativity concerns the non-simultaneity of time as there are many cycles of time that define with different speeds different regions of the Universe. As each cycle closes into itself dividing the Universe in regions of different time-space speed.
From 2, yin-formation and yang-energy comes 3 says Taoism and it is right. Once we have 2 elements the process of creation of new varieties by combination and reproduction is immediate, and so we can build a ternary, organic Universe. Since 2 always reproduces a third. It is the logic essence of the Universe so often lost to simplex physics, and its one-dimensional vision of time.
So we shall start a analysis of the whole range of forms in space and time that exist:
- Lineal Energy and cyclical information that combine in infinite reproductive waves:
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.
Energy and space and time and information, two sides of the same coin, such as space and information are the ‘fixed, still perception’, of moving, lineal energy and cyclical time clocks.
We ARE space-time beings, and space-time is a fractal structured extended across multiple scales of social networks, growing and diminishing in size. This is what reality is, and while its initial components, space, time and its fractal scales, grouped in a new ‘5th dimension’ of scalar size are more complex than the old paradigm of a single space-time shallow continuum, once we grasp the unicity of all beings, made of those scales of space and time cycles, as when Copernicus put the sun in the centre, it will be evident that most laws of science become simplified, similar expressions of the laws that explain the interaction of cycles of time and planes of space.
Thus the first principle to consider is how the geometry of bidimensional time cycles and bidimensional networks of space-points mess up to create all the beings of the Universe. It is the holographic principle… And its fundamental logic concept is ‘the opposition of forms and motions, which however combine in ternary systems, creating the 3 organic topologies and time-ages of all what exists.
So now we shall return to the proper definition of time and space in simple terms as the fundamental duality of the universe, from where we shall derive much more meaningful truths about reality:
‘Time clocks are cyclical, closed motions. Spaces are lineal, open extensions’.
It is important to realise finally that time and space are ‘words’, human words, concepts of abstract minds.
And so it is more important to extract from what we learned two oppositions: line. vs. cycle (O vs.|) and motion vs. stillness, which are definitely more real concepts, and so while we will use the ambiguous human terms, time and space, what matters really, what is real, are those inverse terms.
Now the key to this understanding of the fractal Universe is to understand that what you call space-time is not an abstract concept. That space is equivalent to energy, to res extensa to vital space with motion, and time clocks are equivalent to cyclical forms with more in-form-ation.
So once you understand that the Universe is like a puzzle with its fractal pieces of space and its clocks of time, and that space is vital, moving energetic space and time is cyclical, informative, accumulating information in its cycles and frequency hertzs. And you accept the fact that all is made of tiny pieces of vital space performing cyclical time motions and actions, as you do at your ∆-1 tiny cellular level, or as an individual performing ∆+1 big cyclical motions in your society, once we get this clear enough and then study properly the time of space-time motions of beings, and how they come together into herds and organisms, through those motions and cycles of behaviour, and exchanges of energy and information, you will if your ego is humble enough understand yourself truly as part of a whole, the fractal universe.
And so the first step is to understand the equivalence between vital spaces and quanta of energy/entropy and time clocks and information cycles, and how together construct the beings of reality, including yourself.
But what is ultimately the meaning of Spatial entropy and temporal Information, Spe and Tiƒ, the 2 parameters that combine in the Universe to form content space-time beings? Sp x Tiƒ = ∆±1
We saw how simple was the answer for physical systems: a bit of information and a bit of motion, combined into infinite species. Let us generalise the concept for the whole puzzle of space-time beings including human ones.
To that aim we shall first explain the Holographic Principle, discovered in the study of black holes, at the heart of modern physics today – the fact that information is bidimensional, as the screen you are looking at.
This geometric generator redistributes the 4 dimensions we know to exist in this scale of reality, in 2 dimensions of vital space, creating flat planes of space, with maximal extension (made of small cells, points, atoms, any ‘set of similar beings) and 2 dimensions of temporal information, height and rhythm to form the simplest possible time cycle, which carries information in the form and frequency of this cycles.
Now this should be evident to you, temporal information has the dimensions of height and form (cyclical patterns seen with a mind as slow fixed forms, like the way you see a fast spinning wheel as a solid disk). So you are watching a tall bidimensional screen or book, your eyes see bidimensional forms, and your informative eye, head or the antenna or camera that absorbs information, with its logic cycles of time, its computer clocks measured in cyclical frequencies, Hertzs, are all on top, are all made of closed time cycles and forms.
So the first refocusing of the mirror of mathematical sciences is to give the dimension of height to time, which now has 2 dimensions and it is no longer a line of duration but a cycle of tall form, which rises as time passes, the flat sheets of space, into tall space-time beings.
In this manner, because a basic rule of maths is that only beings with the same number of dimensions can be combined and transformed into each other, we can combine topological ‘formal motions’ (forms allowed to vary through internal motions of its surfaces), and this is the most ‘evident’ definition on how fractal space-time systems and its feed-back Sp <≈>Tƒ equation works in a single ‘plane of space-time’, as it ‘composes its forms through the holographic principle.
Each of those pictures shows a network of space-quanta, informed by ‘cyclical time motions’ , which runs the logic forms of the system: human heads run lineal limbs-bodies; Tall, spherical black holes control with informative gravitation the plane of energetic stars. If we consider the entire existence of life, evolving from its first flat worms to the tall man, the same topological arrow towards more information becomes evident. Above, we can see human eyes and mechanical eyes, human limbs and energetic, entropic weapons, which share the same topologies.
Each of those Sp and Tiƒ elements is bidimensional and each bidimension is made of smaller points that form a flat plane of space or a tall, cyclical time event, made of discontinuous instants or neuronal points. Space is communicated synchronically in a flat membrane. Time is communicated in a cyclical sequential form.
The principle of conservation of energy and information.
Another way to consider a time cycle is as a ‘feed-back’ exchange of energy and information, which gives origin to an enlarged principles of conservation that enlarges the present concept based in an energy-entropy only arrow of time.
Since general systems sciences is defined as the philosophy of science which includes simplex physics, as a ceteris paribus case, whose principle of conservation of energy is extended to conservation of information and its principle of lineal inertia ads a principle of cyclical inertia, caused by the ‘existence of infinite closed time clocks’ in the universe, from vortices of charges in the smaller scales, to larger mass vortices and galaxies in the larger scales, which carry its information in the frequency and form of its closed trajectories.
What will be then the formalism of a Universe, constructed with both arrows of future in equal footing? A more realist description as all systems seem to be constructed with both elements in a complementary combinations – heads and bodies in biological systems, particles of information and waves of energy in physical systems, machines and chips in economical systems, linguistic classes in control of the languages of social power, law and money, and working energy class in social systems.
So as a first step to construct that formalism and study all those systems with its common laws (called in G.S.T. ab. general systems theory), we shall expand the principle of conservation of energy, to include information, and define an equation for all systems of the Universe, using both arrows:
‘All what exists is a system made of lineal, spatial, entropic, energy fields, Spe, and cyclical, temporal, clocks information, Τiƒ, which transforms into each other ad eternal: Spe < = > Τiƒ”
Τhis equation, Spe<≈>Τiƒ is the complex way to define a Universe made of infinite systems of space-time.
We call it in GST, the fractal generator of Nature’s systems by combining and transforming energy and information can describe the infinite systems we observe in the Universe, which always have both parameters.
Since only when we add both energy and information, we can obtain a truly descriptive equation of all scientific systems made of spatial energy and informative time, the ‘2 elements of which all beings of the Universe are made’.
Yet because 2 elements can combine into a third one, it follows easily that there is not 2 without 3 and so we must include as the fundamental arrow of time, the combination of a relative ‘past-entropic’ and ‘future-informative’ arrow into a PRESENT, iterative body-wave, EXPLAINING for the first time in the history of human thought WHY 3 is the overwhelming structure of reality, departing from the 3 ‘ages’ of time and the 3 dimensions of space, which now ARE JUST 2 sides of the same coin, as Einstein rightly understood, albeit in a simplified manner; which now we can consider in far more detail, for each ‘being’ made of those 3 dimensions/ages of space-time.
LET US see how they construct reality.
Ω≈B: The 3 motions of time and its symmetry with the 3 bi-dimensions of space
We shall start describing the ‘smaller parts’ of a time element and an energy element of a space=time action, which combines both in a symmetry between time ages and space topologies that put together a holography of sopace-time dimensions.
So we play with a lego of space and time dimensions pegged together in harmonic pieces of ‘motion and form’, that combine perfectly a topology of space and motion in time. Those motions in time will be generically called past-enetropy, present-interation and future-infomration, with lineal, hyperbolic and spherical forms:
In the graphs, above the 3 ‘broken’ time motions of the Universe, bellow pegged in synchronous systems as the 3 organic geometries, that mimic the 3 topologies of the Universe. Their combination creates self-similar ternary systems, combinations of the Spe and Tiƒ, lineal and cyclical components, combined in STexi- hyperbolic body-waves:
In the graph, a few of the ternary systems, made with the 3 only topologies-functions of all systems of the Universe, an atom, a tomato, a planet, a cell an embryo and an electromagnetic field.
In the graph, when we make a diachronic analysis, we shall find that Fractal Space and Local Past, on one side and Future local temporal information on the other side are similar (as systems start as lineal motions, which time bends: ‘time bends space into masses’ said and You Einstein Since they are the 2 reverse sides of the same coin, we shall use the same symbols, merely inverting their order, and call them:
|-Sp: Open Spatial Extension; Spe, with maximal entropy, kinetic energy, lineal momentum, which dominate a young past age:
Ps: Lineal Entropy-Energy or “Past’ (soon we will show indeed why in the past there was more entropy-lineal energy).
O-Ti: closed Temporal cycles that carry information in its form and frequency, Tiƒ, and guide a system growing in its future:
ƒt: Informative, future forms. (And soon we shall see why indeed the future does have more information).
And both combine into Hyperbolic, Ø, Space-Time Fields, ST, in which energy and information combine, exi, to reproduce the system, STexi, which is achieved when e and i equal its value, S≈T, e=i, maximising its production, Max. E x I or function of ‘Exi=ST-ence” of the system, as this reproductive iterative present function, ST, is the goal of all systems, which can be resumed in a single statement:
‘The Universe is a fractal of present space-time systems that constantly iterate, by combining diffeomorphically (locally) relative past entropy fields of energy and relative future cyclical knot of information, |-Spe x O-Tiƒ = Ø-STexi”
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.
Latter we shall further elaborate through the fact that the minimal unit of reality according to those 3 topologies and the holographic principle is a bidimensional geometry (a plane, as lines are strings of points with volumes; a hyperbolic body-wave; and a cycle, which is also bidimensional). Try in that sense not to be very critical of all what you will learn, as it is a slow process of ‘growth’ till we can arrive to the ‘detailed’ analysis of the 3rd line.
Let us then move to the 3rd element of our equation of all systems of reality, the most fascinating of them, the mind that ‘survives’, by guiding the whole system and its 3 parts through the ‘program of survival of the Universe’ as it absorbs energy and information for head and body, perceiving and moving with it.
O-points: minds and its languages of information≈Perception. Eyes of time: Monads≈ still minds.
What is the ultimate essence of information and the reality depicted with it? The existence of points of view able to process and map out the Universe with information. A sentient universe in which information is constantly focused on what Descartes called minds, Aristotle, unmoved Gods, Leibniz, Monads, is an a priori category, which no scientist can renounce to if he wants to describe not only the external how but also the internal why of all systems of reality.
This much wider vision of time and the organic Universe has been always lingering in the work of the great masters of Philosophy of Science, from Aristotle, with his ‘Organon’ – first scientific theory of unification on organic terms – to Hegel, the last serious formulation of the Spatial entropy x Temporal information=Space-time arrows Fractal Generator (thesis-antithesis=Synthesis)
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.
The rational explanation of the Galilean paradox.
The universe is made of actions of energy and time, two formal motions, which the mind maps out as still form, to fit a view of the cyclical, fractal moving universe, inside the small brain. It is the galilean paradox, which introduces the bias of the mind in any form of language-knowledge. Information is still perception, of form, motions thus become linguistic reductions, in mathematical and verbal temporal languages, which reduces the syntax of all of them to the 3 elements of reality: lineal, cyclical and wave-like forms and motions. In the graph, from far away Saturn’s rings seem solid, continuous, single space-times, but in detail are cyclical, in motion and structured in fractal scales of relative size
Still minds perceive by locking information about wholes in linguistic mappings of moving external cycles with motion and form, is the only rational explanation of the duality of Galileo: all moves and yet minds perceive it still.
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.
Œ x ∞ = ∆±1: The equation of the Linguistic Monad: ∞ Mind-Worlds in a single Universe.
Descartes 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.
Now in the map we can see the difference between Newton who THOUGHT the mind of man WAS the entire Universe, hence converting the Cartesian mind graph into the ABSOLUTE BACKGROUND SPACE-TIME that still lingers in science and Descartes who thought it was just of the many minds, possible with different geometries.
The mind though has a negative effect on systems – to create more information than energy so systems finally become old, warped, still, informed and this is the origin of death and the finite world cycle of beings… and we will return to that.
So the new, fractal organic paradigm, requires cyclical time, multiple clocks with different volumes of information, moving energetic space, lineal entropic motions, and its hyperbolic, wave-like combinations; happening across social scales of relative size, the 5th scalar dimension of space-time, and all this warped up and perceived in stillness by an informative mind:
- Cyclical time, fractal space, organic social wholes, made of cellular/atomic parts and minds that perceive it all in linguistic, still mappings are therefore the 4 underlying elements of the organic, fractal Universe.
Now we can move to the 4th element of all those systems – the organic, scalar, fractal 5th dimension of space-time systems.
∆: THE 5TH DIMENSION IN A NUTSHELL.
The metric equation of the 5th dimension.
According to Klein’s definition, “a geometry is the study of the invariant properties of a spacetime, under transformations (read motions) within itself.”
And so for a 5th scalar dimension to exist, it is required to find a co-invariant equation of space and time parameters that do not vary as we ‘move’ through it.
It is then easy to prove the existence of a 5th space-time dimension with a simple ‘metric equation’: S x T = K.
Whereas S is the Spatial size (Spe) of the system related to its energy content,
T is the speed of the cyclical clocks of time, which carry the information of the system in the form and frequency of those cycles (Tiƒ). And K, the ‘fractal, scalar domain of the Universe’, in which that product remain invariant:
In the graph we show some ‘fractal domains of the Universe’ where we can define a 5th dimension of existence:
- In the left, in physical systems we find the 3 scales that put together, the quantum, ∆-1, thermodynamic, ∆ and gravitational ∆+1 scales), allow the travel of physical systems through the 5th dimension (we use the symbol ∆±i for a given scale of the 5th dimension, with ∆o as the human scale or in sequential form an absolute scale from ∆o: forces to ∆10: cosmos).
- In the right, we see those 3 scales as they create the ‘∆-1 cellular, genetic’, ∆-human, organic, and ∆+1 planetary and cosmological scales were socio-biological systems exist and travel through the 5th dimension.
Therefore, the geometry of the 5th dimension exists and we can define formally general systems sciences, as the discipline that studies the invariant properties of such space-time, as we move within it, expressed in a series of formal equations that describe the invariant ‘topological, spatial properties’ of species of those different scales, and the temporal, invariant properties of systems, traveling in time through them.
In the next graph we show a basic spatial topological ‘isomorphism’ of all scales of the 5th dimension, constructed with 3 topologies, which always will be the only 3 topologies of the Universe, cyclical-informative centres, lineal, toroid larger space-boundaries and an intermediate territory of hyperbolic form:
In the graphs we see the 3 ages of time and 3 topologies of space, which become pegged into space-time organic parts in each being, which will then perform actions, dominant in energy or information according to that organic pegging. In the graph we see the human being born of that pegging, which performs the canonical motions-actions possible in all space-time beings.
Thus we can extract from those 3 primary elements: lineal energy, cyclical time (and its ‘fixed forms’: space and information) and its social, relative ternary scales, which co-exist together (the ∆-1, quantum/cellular; ∆-thermodynamic/organic; ∆+1 gravitational, social, ecosystem planes), 3 type of laws common to all beings or ‘isomorphisms’; which we further subdivide in 3 sub-sets. It is the isomorphic, linguistic method that extracts topological, mathematical laws derived of the spatial energy of all beings; logic, causal laws derived of its cyclical temporal nature; and organic, social, survival laws derived of its existence across scales of the 5th dimension.
Yet those 3 x 3 isomorphisms require a final element without which systems would not ‘exist’: I think therefore I am. Indeed, all complete ‘worlds’ do have a 0-point or mind, whose spherical topology allows the system to shrink the Universe into a linguistic mapping mirror of reality, or mind, which extracts the information on the outer cycles of reality the system needs to survive. It is the point of view of the system, its c.p.u., quark, black hole, brain, eye, which apperceives reality and performs the necessary actions for the system to survive, by extracting energy and information from the Universe. Thus we shall consider 3 x 3 +0 isomorphisms to describes all the systems of Nature, and the forms created by man, with its internal mental languages (art forms) and external atoms (mechanisms).
Above we show the topological isomorphism as an isomorphism of scale, ∆, that does not vary as we change size.
Since all type of Universal systems can be described as social networks of energy and information. Its similar=isomorphic laws are studied by general systems sciences.
IN THE GRAPH we see one of such isomorphisms: that of form, as systems form spherical topologies with a center of information -the nucleus of the galaxy, the game of the stadium, which is a ‘ball’ that all players, lines of energy pursuit (-; While in the center we see two herds without a clear center, proper of ‘energy systems’, a herd of insects feeding, a polymer atom of great strength without a crystalline center.
FRACTAL ORGANIC SCALES. THE 5th DIMENSION. TOPOLOGY
The Fractal, organic structure of the Universe in scales of size is what we call formally ‘the 5th dimension’.
Since all those systems were constructed in an organic way, not only as complementary systems of energy and information, but also as systems in which its parts and wholes spread through different scales of size in space, each one with a different clocks of time. So smaller being had faster motions – metabolic rates in biology; chips speed in mechanism; rotary, gravitational power in cosmic bodies.
In the previous graphs, the most surprising omission of science, since it was born of the study of the upper and lower scales of the Universe with telescopes and microscopes, is the lack of studies on the relationship between the different scales of size and time speed in the Universe, which put together form a new space-time dimension.
For a ‘5th’ dimension of space-time to exist as such geometry precludes that a quantity must remain invariant when we move through the dimension. As we define the dimension by 2 parameters, spatial size and time speed, Spe x Tiƒ, this quantity must remain invariant as we ‘grow in size’ slowing down our time clocks, and viceversa. Systems that diminish in size trace its cycles of information much faster. So a huge galaxy turns much slower than an atom, and vortices accelerate inwards, as their cycles become slower.
So since the product of both, its spatial size, Spe, and Temporal information, Tiƒ, remain invariant: Spe x Tiƒ = C, systems can co-exist symbiotically in several scales, giving origin to the organic, symbiotic structure of wholes and parts. As smaller systems will code information of larger ones (genes code organisms, quantum numbers molecules and memes societies).
While larger wholes will synchronise the energy and motion of smaller parts. And this asymmetry of time arrows, which allows information to flow upwards without loss and motion-energy to flow downwards without entropy-disorder is the key to understand the organisation of the Universe, as a fractal super organism of space-time.
In that regard, we must understand what we mean by an organic system – we are not yet talking of a living system, but a system in which there are at least 3 co-existing scales of different space-time size, the ∆-1: atomic/cellular, the ∆-organic/thermodynamic, and ∆+1: gravitational-ecosystem scales of the system, which will then gather around at least 2 energy and information networks, which messed together create a symbiotic organic system, with different degrees of organisation, from the simplest herd to the more complex super organism. And it is this natural tendency of all systems to self-organise, regardless of its physical, biological or social nature, what are at the basis of most phenomena of nature, which cannot be described without 5D metric:
In the graph the space-time planes of the Universe, ∆±i (n in this old graph), which according to scale structure the 5th dimension in parts that become wholes, and since wholes come after parts, which must exist to sustain them, we talk of a temporal absolute arrow of future, regarding its ∆ scales, such as ∆-1 will always be the relative past of ∆.
To notice that all what it is needed to have a co-existing organic structure is to have a series of ‘fractal Non-euclidean points’, the formal meaning of any ‘entity’ of the Universe, which gathers in groups around 2 networks of larger size, (∆-systems), that will provide energy and information from a larger ∆+1 world to all its ∆-1 cells/atoms/citizens/machines; creating thus the simplest possible organic system: a herd. On that view what we call a human being is just the most evolved of such super organisms (in as much as each scale is made of smaller quanta), known to us, whose study therefore becomes far more important in systems sciences, as all scales are relative but we have much more information on our biological scales to fully research the laws between them; which will apply to all other sciences and species.
In the graph, we can see a simple scheme of those cycles across different scales of the 5th dimension, which will be again not only a ‘linguistic’ tool to classify sciences but a real ‘dimension’ with a simple metrics: max. Spatial size = Min. Temporal speed (Spe x Tƒ = K); that is the larger beings have slower time clocks and hence less information but more energy than the smaller beings, whose clocks are faster.
And this allows to synchronise systems across several of such scales (cells, organisms and societies, atoms, matter and cosmic bodies and so on). And create the organic structure of all nature’s beings.
The understanding of the metric of 5D scalar space-time is therefore the starting point of a revolution of knowledge which will upgrade and complete centuries of work on the foundations and first principles of the Universe.
What physicists offer instead is a simplified version in a single space-time scale continuum with a single arrow of time, which seems more truth because simplicity seems more real but explains nothing on the whys of those space-time species. Indeed a sword might be perfect but it is just a simple line.
Physicists view of reality is simple enough to appeal the reader (locomotion, big-bang, entropy≈death at the end of the road), and it is detailed enough in its mathematical description of only those simple facts, that all what physicists need and do to become high priests of simplex science is to ‘eliminate’ from the discourse all other time motions, all other scales, all other beings, with the philosophy of ‘naive realism’ and ‘reductionism’ (only spatial mathematical properties ‘matter to us’ – what we see is what there is, etc.)
When we start in a more professional way to understand the 3 topological forms of the Universe, we immediately confront the fact that a topological plane is made of points, joined by lines, and so enter into a more real description of the scalar universe as forms which are networks of points joined by flows of energy and information. The concept of an organism arouses immediately as an organism is a system that co-exists at least in two levels or scales of size, joined by networks=flows of energy and information.
Topology at professional level however is not a continuous geometry but a sum of points that put together at a distance seem to be not a network but a continuous form. Hence the existence of scales in the Universe, in which each point of a topological form is in itself a world in a lower scale.
But the 3rd leg besides space-time symmetries of the GST philosophy of science is the fractal, scalar structure of the Universe, and how those scales co-exist and create organic systems.
We can then recognise a ‘cellular-atomic-social’ system of fractal units that build a self-similar closed (spherical) open (hyperbolic) or toroidal (with two closing paths), network as a series of cellular relationships of connectivity, adjacency, coherence, proximity, etc. which make ’emerge’ a whole that embodies the regularities of the myiriad of infinite exchanges of energy and information between connected parts of the whole.
The many ways in which those isomorphic systems can be described departing from its 4 ‘integral elements’, its ternary ages in time, ternary topologies in space, fractal ∆±1 co-existing organic scales and Œ≈Ø, topological time mind which perceives the whole domain and performs the function of existence, Max.∑ ExI(s=t), which resumes all the space-time actions the mind knot of space-time cycles ‘commands’, and stores in its memorial information, busy-busy playing just… a game.
Abstract: The Universe is an organic network made of knots of actions, systems made of energy and time motions, with a will to survive gauging information for their particles/heads and feeding on energy with their body/fields. This describes a simple program, the why of all the hows and geometric motions we perceive.
The Universe is a constant orgasm of self-reproductive patterns of information, forms-in-action, forms with motion that imprint its patterns in fields of energy creating ‘complementary systems’, physical systems made of fields of energy/particles of information or biological systems made of bodies of energy and heads of information etc.
A = e x i; Action = energy x information: fundamental event/unit of all systems of reality.
In the previous post on the ultimate substance of the Universe, time, of which space is merely a dharma, a slice or portrait of all the flows of time made in a present quantum moment, we explained that each system of energy and information gauges reality with a relative mind that creates illogic, geometric measures of it, in a relative moment of time – a dharma of its perception – different for each species.
Your perception of the Universe is 10 times slower than that of a fly. Perception happens in the point in which a gauging action ends and the brain maps it. In your case every second, in an atom probably every 1/30.000 of a second.
Those units of frequency of processing information are one of the new paramaters that ‘mater’ to properly describe the actions and synchronicities of the Universe.
In the previous post we described those synchronicities and time cycles from an external, objective point of view. But as schopenhauer and all philosophers understood before physicists established the straightjacket of time clocks in the study of time=change, the program of the Universe is not only a how but a why – it has a will, a causality and the question to answer is:
why we exist, why we trace space-time cycles, why we act, what is the purpose of all those actions of energy and time? How those frequencies of actions chain each other into complex systems?
The simplest one is the frequency of an action of gauging information that all entities of energy and information, fields/particles, body/heads realize to exist. this is the simplest action and pattern of the living, spiritual, gauging Universe. But those actions have a purpose – to find further energy for motion of the system and guide the whole system towards fields of energy. So the next action will be less frequent, but equally important – to feed on energy.
And those 2 actions gauge information with faster patterns and feed on energy with slower ones exist in all systems and define the simplex equation of existence, exi, which all entities try to achieve to renew their energy and keep going. Some have it easier – atoms who live in a sea of gravitational and electromagnetic fields in which they feed. Others have it more difficult, humans who need to capture their energy hunting it.
Others do’nt even need to move – black holes, which attract with gravitational forces the energy in which they feed. There are infinite parallel universes with entities that perform actions to achieve those two goals, e x i.
Here we shall explain you the what of existence, the action. We see them externally through time cycles that describe them.
Time cycles have in that sense its two geometries that portrait those two actions of energy (explosive geometries of motions) and information (form in action, implosive informing force that gauges and maps reality into a lesser mental space-time image).
We can draw infinite non-euclidean fractal geometrical patterns that respond to those primary actions, or we can study the how of its motions and traces of space-time in the many beings of the Universe.
My interest is bigger though for the will, the program, the reason of those cycles and trajectories.
There is a narrative to the geometrical how of the vital universe? in this there is, the narrative is bio-logical, evolution and survival. and that game can be reduced to a simple fact: each knot of time cycles try to maximize its actions tending to survival and evolution into social organisms.
This gives birth to the 4 fundamental actions/dimensions of the vital geometries of the Universe that its species of energy and information follow:
– Actions that feed of energy the body/field of the physical or biological particle.
– Actions that give information to the gauging particle/head where the memories of time cycles are stored.
-Actions that reproduce both, and combine both, exi
– Actions that synchronize the particle to other’s actions till forming a big action, an entity in itself different from the cells whose shyncrony creates this new ghost of existence, exi=st.
The spiritual, vital Universe is made of two forms with motion, energy and time.
When you dont want to do something you say: ‘i dont have energy and time to do this’. So you recognize that you are ‘made of body energy’, and ‘mental time, mental information that makes you follow certain cycles of behavior’.
All entities of the Universe made of ‘energy fields/bodies’ and informative, temporal ‘cyclical’ heads/particles, constantly create actions of energy and time, the ultimate ‘substance’ of all realities.
This was found by Planck who defined all physical entities as knots of ‘actions’ of energy and time, where energy is synonimous of a body of space ( a quantic piece or extension of energy with motion) and particles/heads of information are just knots of complex clocks of time that carry the information of the Universe in its cyclical patterns.
So your brain stores memories of past cycles and a particle stores geometric cycles and you and the particle act-react according to those memories and geometrical programs to the actions of your environment. This ‘will or program’ of existence that all entities follow is the essence shared by all the parts of the whole – what makes you not different from any other entity of the Universe. In this post we shall resume the foundations of General Systems sciences regarding those actions of ‘energetic space’ and ‘cyclical, temporal information’, that all its being reproduce.
If you were to perceive reality as i can do in such terms, you would penetrate in another complete ‘tour on reality’, experiencing both a communion with all things and a detachment of yourself now reduced to a sereis of rather deterministic ‘lacks of freedom’s that you confuse with your will and cherish but are noting more or less than what everything from the smaller atom to the bigger universe does all the time – actions of energy and time.
SURVIVAL ACTIONS (A,E,I,O,U):
‘Do not confuse motion with Action.’ Hemingway to Dietrich.