Notes DB 90: Psychogenesis_2024
Sunday 14 January 2024 - Saturday 20 January 2024
[page 36]
Sunday 14 January 2024
Hilbert space is ideal for the description of cognitive and logical matters such as information theory and so has the power to explain space-time but is completely independent of space and time, as I have explained on page 13: Is Hilbert space independent of Minkowski space?
Monday 15 January 2024
Melbourne - Adelaide
cc23_network_QED: The Minkowski network takes care of all the Feynman diagrams which exchange momentum with inputs and outputs. What it may not touch are the internal loops. The big question is what is the logical and computational equivalent of momentum here. In classical terms it is simply a number with the dimensions MLT-1. This is a difficult point in the whole cognitive story. We have to get the quantum equation E = hf which converts from the angular momentum intrinsic to the quantum of action to energy. We use wavelength to transform from action to momentum p = ℏ/λ, so we are basically using temporal and spatial processing rates to transform from quantum to classical. Energy and momentum modulate the rate of communication [or vice versa].
In cc23_network_QED we wish to explore the idea that the Universe must be a wilderness insofar as it started with no previous structure and so it fulfils the whole space of
[page 105]
possibility and may therefore be maximally peaceful and maximally interesting. The basis of omnipotence gives no control of the world. The evolutionary paradigm demands that the lower layers be stable before the higher layers are built so that the system can fail back to basic as with the black holes where unquantized gravitation, because it is unlimited, can destroy structure. So maybe the notion that the Universe starts as naked gravitation is a failure since we are beginning with a black hole. In a way my plan is to bootstrap a time reversed black hole into a Universe via quantum mechanics which develops mass or perhaps energy which can ultimately destroy itself. But why does this not provide a route for the evolution of black holes into new universes inside their event horizons? Here we are in a sea of troubles, but they are fun. The basic idea is to build the idea of wilderness into a stable Universe. Perhaps black holes have a creative role of some sort, acting as the gravitational centres of galaxies in a scale invariant image of the initial singularity seen as a 'black hole' being the source of the Universe.
Wilderness and the time reversed black hole. What distinguishes my story from Hawking and Ellis? Perhaps the fact that the initial singularity begins as an omnipotent quantum of action, the true power of omnipotence is its ability to reproduce and develop complexity via the no-cloning theorem, up to ℵ0 and then on to ℵ1 . . . via transfinite Minkowski.
[page 106]
4D spacetime is analogous to three phase power transmission [one time, 3 orthogonal phases].
A week in Melbourne to wonder if I am getting anywhere. Outcome - maybe. Coming to the end of cognitive cosmogenesis and getting some light. We begin with the eternal structureless initial singularity; identify it with omnipotence and naked gravitation. Introduce time in the form of orthogonal clocks, Hilbert space. Introduce quantum mechanics which introduces stationary points by superposing clocks. This is how mind works, as we see in the superpositions in our brains, an unlimited system of superposition developed in babyhood, pruned through adolescence, connected to sensors and muscle [getting feedback from external reality]. In the time reversed black hole, the quanta of action multiply and differentiate, becoming real by the bifurcation of gravitation via potential and kinetic energy and spacetime, keeping the symmetry of the omnipotent eternal singularity intact but building concentrations of particles and energy sufficient to ignite thermonuclear reactions and create heavy elements, supernovas and black holes. But it does not seem possible to time reverse a black hole according to Hawking. This seems reasonable given the inevitable increase in entropy and the predicted heat death of the Universe. Synaptic pruning - Wikipedia, Hawking radiation - Wikipedia
The main issue with this work is political and the book should advocate for the new god which is just the old god responsible for all the good bits in the current religions.
[page 107]
Religion is intimately connected with politics and most wars are at root religious because religion and theology are basically matters of life and death. I say this again and again. Reynolds & Tanner (1983): The Biology of Religion, Reynolds & Tanner (1995): The Social Ecology of Religion
The problem is that religion and theology have been politicized by the theocracies whose standard claim is that they have been established by and speak for god. Only a religion that speaks for all the people and the whole Universe is speakng for god if the Universe is divine. On this basis true religion and theology are democratic and green. Theocracy - Wikipedia
We seek a broad scale interface between mind and matter, since both work by superposition.
Tuesday 16 January 2024
Wednesday 17 January 2024
cc23_network_QED continued
cc24_trans_minkowski. Backup singers and the principal artist, SBS 20 feet from stardom. Music and religion. What we want to do on this page is introduce the Turing Vacuum, replaces the QFT vacuum with something computable and structured. 20 Feet from Stardom - Wikipedia
I want to be the theological liberation front. The political angle which I wanted to
[page 108]paint with a stroke of my personal genius, not so smart, but convinced. I have the last few pages of cognitive cosmology to get together. Keep the gift alive. What have I discovered? The trip from Hilbert space to Turing computation via the Fourier transform. Quantum mechanics is not infinite, it is quantized and countable. I am a background singer. Poor Things Poor Things - Wikipedia
Thursday 18 January 2024
What is the role of the vacuum in QFT? Read Zee with a view to replacing it with no-cloning and the Turing "vacuum" [quantum computational vacuum]. Anthony Zee (2010): Quantum Field Theory in a Nutshell
I am gradually learning to go all the way with the distinction between Hilbert and Minkowski, modelling the distinction between mind and body, spirit and matter, kinematic and dynamic, based on the logical consistency, honoured by evolution, of fixed point theory producing new fixed points for every mapping of a suitably continuous set onto itself on the grounds of try everything possible constrained by no-cloning. This is the kinematic / dynamic bootstrap by which the world (and the interplay between entrepreneurs and capitalists) plays out.
The basis of this plan is the assumption that quantum computation is at least as powerful as Turing
[page 109]
computation, if not more so. The advocates of quantum computation claim that it is more powerful that Turing because it is an analogue process with the power of the continuum rather than a digital process with the power of the natural numbers. The transfinite Minkowski postulate increases the power of the quantum computation to the power of the continuum
Reading Weinberg opens up a whole new world to me. In Quantum theory of Fields vol 1 (1995) he writes: 'quantum field theory is the way it is because it is the only way to reconcile the principles of quantum mechanics (including the cluster decomposition property) with those of special relativity . . . It is therefore important to understand the rationale for quantum field theory in terms of the principles of relativity and quantum mechanics.' Steven Weinberg (1995): The Quantum Theory of Fields Volume I: Foundations, page xxi
Cluster decomposition: distant places are independent. What about entanglement? What about null geodesics? Cluster decomposition - Wikipedia
cc24 is a critique of Weinberg based on Hilbert mind and Minkowski matter + particle = decomposed cluster with the ability to communicate with all other clusters.
Weinberg page 1: ' I have tried in this book to present the theory of fields in a logical manner emphasizing the definitive trail that ascends from the physical ptrnciples of relativity and quantum mechanics.'
[page 110]
My greatest pleasure in writing a critique of Weinberg would be to find that I am on the right track. Perhaps a forlorn hope, but I must have faith in myself.
Particle interactions at all scales change the internal Hilbert states of the particles (internal = associated). De Broglie: Hilbert wave keeps up with the physical particles. Very similar to human interactions, distinguishing internal kinetic (self driven) from dynamic (externally driven) [wave - Hilbert, particle - Minkowski]. Louis de Broglie (1923): Radiation: Waves and Quanta
Weinberg Nobel: 'Symmetry principles made their appearance in twentieth century physics in 1905 with Einstein's identification of the invariance group of space and time' (page 543). Steven Weinberg (1979): Nobel Lecture: Conceptual Foundations of the Unified Theory of Weak and Electromagnetic Interactions
Weinberg page 544: ' It has been recognized in the 1920s that quantum electrodynamics has another symmetry of a far more powerful kind, a "local" symmetry under transformations in which the electron field suffers a phase change that can vary freely from point to point in space-time, and the electromagnetic vector potential undergoes a corresponding gauge transformation.'
Chen Ning Yang: gauge invariance = phase invariance; gauge fields = phase fields. Auyang page 44. Sunny Auyang (1995): How is Quantum Field Theory Possible?
Yang Mills 1954 SU(2)
Goldstone boson associated with breakdown of isospin symmetry,
[page 111]
Friday 19 January 2024
Cognitive Cosmogenesis: Introduction. The purpose of this book is to complete the work begun in 1905 by Albert Einstein by drawing its theological conclusions. As Steven Weinberg notes in his Nobel Lecture: 'Symmetry principles made their appearance in twentieth century physics in 1905 with Einstein's identification of the invariance group of space and time' (page 543). What this means is that the true measure of distance in our Univerese is the Minkowski metric which combines space and time in such a way that the spacetime interval ds2 = dx2 + dy2 + dz2 − c2dt2. The most remarkable feature of this metric is that it shows that from the point of view of an observer a massless particle like a photon always travels at the speed of light following a null geodesic whose length is zero. The Earth of bathed in cosmic background radiation which has travelled 14 billion light years carrying information from the birth of the Universe. Minkowski space - Wikipedia
This enables us to understand its overall structure with the help of Einstein's second discovery: the cosmic invariance group which embraces the whole Universe, known as general relativity, or more accurately, general invariance. A remarkable consequence of general invariance is that an entity in free fall does not feel its own weight. Isaac Newton[page 112]
described the dynamics of the solar system with 4 laws: a body in motion continues to move in a straight line unless it is acted on by a force. This is called inertial motion, Second, the acceleration impressed by a force on a massive body is inversely proportional to its mass, in symbols a = F/m. Third, every force is met by an equal and opposite force; and fourth, his law of universal gravitation: the attraction between two massive bodies m and M is proportionate to the product of their masses divided by the square of the distance between them: F = GMm / r2. General relativity - Wikipedia
He used these laws to explain the orbit of the Moon. The centrifugal force generated by the Moon's curved orbit around Earth is opposed by the gravitational attraction between the Earth and the Moon. General invariance changed this. The Moon is in free fall in a circular orbit, but like an astronaut, it is weightless. The path it follows, called a geodesic is the path of inertial motion resulting from the curvature of spacetime caused by the mass of the Earth. It is a consequence of special invariance that mass and energy are equivalent, in symbols m = E/c2. Gravitation shapes spacetime in proportion to the amount of energy present.
Here we make our first contact between physics and theology. Einstein's general theory is quite complex and took a long time to be understood, but by the 1970s Penrose, Hawking and Ellis realized that very large concentrations of energy could destroy space-time structure
[page 113]
to create black holes, singularities that are in effect outside spacetime in a way analogous to the way that the paths of photons are outside spacetime. They proposed that the Universe began as such a singularity, the initial singularity. This idea became the foundation of the big bang theory of the origin of the Universe, The point here is that the initial singularity is identical to the model of God developed by the medieval theologian Thomas Aquinas. Like the initial singularity the initial symmetry is eternal, outside time and space, structureless, and since it is the source of the Universe, omnipotent. All this story so far is part of classical physics and classical theology. It is historically half the story of our divine world. The other half is electric [and introduces quantum mechanics]. Hawking & Ellis (1975): The Large Scale Structure of Space-Time
The ancients were aware of magnetism, a property of certain samples of iron ore (direction stones or lodestones), and static electricity, the sparks that occur in dry weather when hair is brushed or certain fabrics rubbed. They may have connected these parks with lightning, gigantic sparks that cross the sky and heat the air, creating the crack and rumble of thunder. Eventually people began to study electricity and magnetism in detail. At first they only had access to static electricity that arose form friction but at the beginning of the nineteenth century Volta invented a chemical battery and electric current became available for research. Electric battery - Wikipedia
Michael Faraday described the relationships between electricity and chemistry and
[page 114]
between electric current and magnetism and put us on the path to [electroplating,] electric motors and generators. Maxwell expressed the relationship between electric current, magnetism and the speed of light [in an equation], leading to the discovery that light is an electromagnetic phenomenon. Einstein was led to special invariance by realizing that Maxwell's equation demanded that everyone see the same speed of light regardless of their inertial motion. Newton had discovered that a prism breaks white light into a rainbow of colours and spectroscopists [with spectroscopes] began to see the characteristic colours associated with each of the elements. Michael Faraday - Wikipedia
Hot bodies emit light and Kirchoff deduced, in the 1860s, that there must be a fixed relationship between the temperature of a black body and the spectrum of the light that it emitted. In 1900 Max Planck expressed this relationship in an equation that marks the birth of quantum mechanics. Black-body radiation - Wikipedia, Planck's Law - Wikipedia
Einstein and Newton used continuous mathematics for their work. Now it seemed that the word was no longer continuous but a play of discrete events, extraordinarily small quanta of action. Mathematical physics was so closely attached to the idea that the world is continuous that it is still having trouble with quantum mechanics. A new view of the world is needed. We have to get closer to God. The quantum mechanical revolution in physics is forcing a conceptual revolution in theology.
Historically the standard Christian model of God began at the interface between the ancient Greek Philosopher Plato and his student and colleague Aristotle. Plato was impressed by the work of Parmenides who argues (using a goddess as his spokesperson) that we could only have knowledge of the world if it has an eternal, invariant perfect heart. In this he was rather like Einstein. Plato was also influenced by Socrates who seemed to think that we are born with unconscious knowledge which can be brought to the surface by astute questioning. The result was Plato's theory of forms: all information about the world is contained in a heaven of invisible forms. These forms not only shape the physical world, rather imperfectly, but they are the source of the Socratic knowledge that we possess at birth. One by-product of Parmenides theory is that motion is an illusion. Zeno produced a number of subtle arguments to prove this contention. Theory of Forms - Wikipedia
Aristotle took a more scientific view of the world and accepted the reality of motion and set out to reconcile this with Plato's forms. the result was his theory called hylemorphism or matter-formism. The forms do not change, but change occursd when a material acquires a new form, the bronze sword being cast into a ploughshare. Aristotle extended this idea to psychology, the sense being able to accept new forms. To do this they need to be symmetrical or unbiased with respect to different sensations. our eyes would not be able t=see all colours if they were intrinsically coloured. He appears to have extended this idea to intellect. We cannot understand all material things if our minds are material, They must be immaterial, separate from matter. Hylomorphism - Wikipedia, Christopher Shields 1996: The Active Mind of De Anima III 5
[page 116]
This idea, and Plato's theory of forms later entered Christianity as the idea that our souls are spiritual and therefore eternal because they have no parts and therefore cannot come apart and die.
Plato's forms and Descartes' clear and distinct ideas served in a way to quantize knowledge. Everything we see and feel is a discrete object, a tree or a grain of sand. This observation no doubt influenced Democritus's atomic theory and the quantum of action is the new atom, not so much a thing as an action, discrete nevertheless, like a kick, a goal or a fall. Practical telecommunications like the telegraph and the internet were greatly facilitated by Shannon's mathematical theory of communication. Shannon showed that we can defeat errors in communication by coding messages into packages so far apart in communication space that they are unlikely to be confused. As Descartes had noticed, clarity and distinctness are necessary features of communication and may explain why the Universe is quantized. Claude Shannon (1949): Communication in the Presence of Noise
The traditional god is said to be omniscient. This is a consequence of the ancient idea mentioned above that immateriality if prerequisite for intellect. The theory of communicatrion invalidates this idea because material symbols, like the letters in this text, are required to represent information. A perfectly simple featureless God or an equivalent initial singularity have no means to represent
[page 117]
information. The traditional story if creation imagines that the omnipotent divinity created the world according to a preexisting set of ideas like Plato's forms, but this cannot be. Instead we must imagine the Universe emerging within an eternal omnipotent entity with no prior knowledge. A tall order, but one that can be met with quantum theory and evolution. The step here is analogous to Einstein's elimination of Newton's force from the structure of the Universe.
Darwin's theory of evolution is possibly the simplest and most powerful theory ever developed—it explains almost everything. Darwin knew nothing about genes, but he did know, from the experience of all the farmers around him, that creatures breed approximately true but there are variations between parents and offspring that can be used by selective breeding to move species in particular directions, like the colour of flowers of the fineness of sheeps wool. His experience in the Galapagos Islands taught him that what began as one species of birds distributed through the islands gradually became differentiated into different forms to suit the different environments of the islands. Here the environment is selecting successful progeny, not the farmers. Darwin (1859, 2001): On the Origin of Species: A Facsimile of the First Edition
Here we come back to Aristotle, forms, ideas, intellect and genetics. Every living creature carries two copies of itself. One is a formal genetic representation. The other is the living physical reality.
[page 118]
Aristotle extended his idea of matter and form to a theory of possibility and realization. Matter is possibility. We can cast bronze into any number of shapes. Form determines matter to be a specific thing, sword or ploughshare. He devised an abstract system of causality to explain reality. The material cause is what things are made of. The formal cause makes things what they are. The efficient cause is the agent which unites matter and form. The final cause as the motivation, like pleasure or money, that makes the agent act. Within this scheme he proposed an axiom: no potency can actualize itself. To make the world go, he postulated a first unmoved mover, an entity of pure actuality which is the source of all motion, eternal, omnipotent and divine. Aquinas took over Aristotle's unmoved mover to be his God. Plato's forms are passive. The unmoved mover was necessary to implement change by empowering the agents to make new things by moving the forms. This is the Aristotelian source of the initial singularity. Unmoved mover - Wikipedia
The most fundamental agent in the Universe is gravitation which we identify with the initial singularity. We call this state naked gravitation because it is not yet equipped with the Minkowski metric which is the special invariant foundation of Einstein's general invariance. It is, however real, eternal and omnipotent, not just the initial singularity but the initial
[page 119]
symmetry of the Universe. It is not yet equipped with the Minkowski metric which is the foundation of Einstein's general theory of relativity.
The first structure to appear in the initial singularity is Hilbert space, the space of quantum mechanics described axiomatically by John von Neumann. This space, like Plato's forms, is passive, kinematic, like a puppet. It is moved by the dynamic initial singularity which we may thin of as the first quantum of action. We may think of this arrangement as a combination of body and mind. The initial singularity is the body moving the mind to action as my body (brain) moves my mind (imagination). This universal imagination works like quantum mechanics, seeking clear and distinct ideas out of the complex variety of states represented by the Hilbert space. The identification of a quantum mechanical mind in the body of naked gravitation is the reason for calling this theory cognitive cosmogenesis. It is the process of mind creating the Universe as my mind motivates me to create things like this writing. Quantum mechanics works by superposition in the same way as the human mind works, neurons having signals from other neurons superposed upon them through their synapses. John von Neumann (2014): Mathematical Foundations of Quantum Mechanics, Superposition principle - WikipediaIn the evolutionary picture, the kinematic motion of the Hilbert space serves, like the genetic variation in living creatures, to provide the variety from which the natural selection chooses the creatures that come to be. The stationary points developed by quantum mechanics serve to split the structureless initial singularity into potential and kinetic energy.
[page 120]
These two forms of energy add up to zero, but now we have within the initial singularity a real physical particle which has been given kinetic energy derived from the negative potential energy of gravitation. Like God the Father in the Trinity, the initial singularity has created a child identical to itself but distinct with the same creative power as its parent. Unlike the Christian Trinity which is limited to three divine persons, however, this process of creating new actions or sources has no limit, creating our enormous Universe out if the smallest possible entity, the quantum of action.
Thus narrative gives us new way to look at physics and theology:
1. First, gravitation itself in not quantized. The initial singularity is a continuous topological space described by the differentiable manifold which Einstein used to develop general relativity. It provides the necessary conditions for the operation of the fixed point theorems that create Hilbert space and quantum mechanics.
[Aside from text of Cognitive cosmogenesis Introduction]
[All the measurements in quantum theory are measurements of the rate if implementation of software encoded as particles.] Each calculation is built around a structure ie a particle interaction which is the logical process executed by quantum computation.
Weinberg page 547: 'In particular I was inspired
[page 121]
by the fact that quantum electrodynamics could in a sense be derived from symmetry principles and the constraint of renormalizability; the only Lorentz invariant and gayge invariant Lagrangian for protons and electrons is precisely the original Dirac Lagrangian of QED. . . . I am more convinced than ever thst the use of renormalizability as a constraint ob our theorieds of the observerved interactions is a good strategy . . . important problem, of how to amek a renormalizable theory of weak interactions.'
[Back to Cognitive cosmogenesis Introduction]
2. Hilbert space plays the invisible role of mind and consciousness guiding the visible role of body and action. The mind is the realm of kinematic computation driven by the dynamic body. As in the de Broglie picture, the waves guide the particles. Both quantum mechanics and the human mind work like waves in water, by superposition. Every particle is associated with a quantum mechanical mind, it is a person or source, able to carry, send and receive messages.
3. The scenario outlined above solves the problems raised by Kuhlman in two steps. Kuhlman's conclusion reads: (Abstract)
In conclusion one has to recall that one reason why the ontological interpretation of [Quantum Field Theory] is so difficult is the fact that it is exceptionally unclear which parts of the formalism should be taken to represent anything physical in the first place. And it looks as if that problem will persist for quite some time. Meinard Kuhlmann (Stanford Encyclopedia of Philosophy): Quantum Field Theory
The answer is clear: the old distinction between kinematic mind and dynamic body mediated by the bifurcation of gravitation [Quantum mechanics in Hilbert space plays the role of mind, identifying fixed points; the dynamic potential of gravitation yields the energy necessary to make these fixed points real
[page 122]
Saturday 20 January 2024
I am living in fantasyland again. My notion that particle interactions are like human interactions fail when we imagine the creation and annihilation of particles (people) that occurs in quantum field theory. How do we fix that? [but it succeeds if we modify our time scale to include the birth and death of individuals]. Basically I am talking about how people interact and the particles are the [physical] messages and responses they we to one another. We need to bring in something like social fields that create and annihilate social behaviour. Back to the drawing board, ie Weinberg volume 1. Steven Weinberg (1995): The Quantum Theory of Fields Volume I: Foundations
The question is how do we build out the simple story of creation developed in cognitive cosmogenesis into [an analogue of] quantum field theory. This has to be an interplay between Hilbert and Minkowski covering creation annihilation and bonding. This is the subject of cc24_trans_minkowski.
Born in van der Waerden page 20: 'each physical quantity depends on two stationary states, not one orbit as in classical mechanics.' Bartel Leendert van der Waerden (1967): Sources of Quantum Mechanics
Heinseberg on Bohr page 22: ' that [Bohr's] insight into the structure of the theory was not the result of a mathematical analysis of the basic assumptions, but rather an intense occupation with the actual phenomena such that it was possible for him to sense the relationships intuitively rather than derive them formally. This I understood. Knowledge of nature was primarily obtained in this way
[page 123]
and only as a next step can one succeed in fixing one's knowledge in mathematical form and subjecting it to complete rational analysis. Bohr was primarily a philosopher, not a physicist, but he understood that natural philosophy in our day and age carried weight only if its every detail can be subjected to the inexorable test of experiment. (1922, before Helgoland). Carlo Rovelli (2021): Helgoland
It is in a way contrary to my logical plan to find that all applications of quantum field theory are basically built around calculus where I would like to see them built around logic. How do I move from Arithmetic to software? Maybe it is time to start coding: learn Python as I learnt Basic. Centre for computing history
The frequencies and energies revealed in quantum mechanics are the time rates at which logical quanta of action are being executed, and this connects logical structures to classical numbers.
A wonderful time of panic when I realize that everything is wrong, or it looks like that. So I must read Weinberg and Zee before I can go on. So much for finishing cognitive cosmology this month, but it is all good up to page 23 I think. Maybe, for potential financial reasons, I should draft 20k words of 'the book'. The introduction is written and I will do it in Nisus and print it in PDF.
I am doing what I have always been doing, reading and writing but no longer building. Maybe my rate of progress is the same as ever.
[page 124]
I have made a story, rather like Agatha Christie (Murder on the Orient Express) but the ending still escapes me, the facts are clear, it is the Universe now, but how do we get here? The answer is clear too: Evolution and quantum computation. Christie (1934, 2017): Murder on the Orient Express
Why am I feeling so happy when my end is so dead? And is my idea that my mind works by superposition like quantum mechanics true? And how do we apply this to quantum field theory? By considering the group of elementary particles considered as subroutines of the Universe that all work together to span what we call (at the moment) 'quantum field theory', a spanning set of tools as a plumber or mechanic might say [ie no situation arises on the job which stops us, we have a means to deal with it].
spanning set of tools / vectors Notes10/notesm04d11.
Turing machines: the spanning set of tools for the [classical] Universe.
Fermions and bosons: spanning set of operations Notes15/notesm04d12, notes23M07D16 ' Hilbert space spans the operator notthrough the harmonic oscillator, the clock spanning the gap between Hilbert space and Minkowski space. Notes, search term grep "span.* set".
Fourier transform is reversible and therefore operates at constant entropy.
We are looking for the little group of fundamental particles with hearts of Hilbert and distinguished by form like angels.
[page 125]
and then spread out through Minkowski space. We imagine each elementary particle to be charancterized by a linear operators in a suitable Hilbert space. I love hearing all the different languages as I walk around the city each characterized by a linear operator, all of comparable entropy, and each with operators in a different basis being different languages.
Maybe each particle comes with an implicit piece Minkowski space that together form the Einstein space as they are rotated with respect to one another to form curved spaces which when we come to chromodynamics will explain asymptotic freedom and orbital closure, ie confinement. So here we have a coupling to gravitation and electrodynamics where we find that as in evolution individual species rely on their environment to provide them with the resources for survival as we see with quarks and gluons which cannot survive alone.
The first duality in the world is the complex numbers, we might say the first mathematical discovery of an emerging world.
