Notes DB 90: Psychogenesis_2024
Sunday 18 February 2024 - Saturday 24 February 2024
[page 198]
Sunday 18 February 2024
Hopefully I can make my critique of quantum field theory more substantial with discussion of the Millennium Prize for quantum field theory. But what is my point? Carlson, Jaffe & Wiles (2006): The Millennium Prize Problems
The top down argument uses the principle of symmetry with respect to complexity, arguing that we are all naturally free and not bound by a physically causal field so the same must hold for all particles. Nevertheless we are all guided by our environment in the longer term and government
[page 199]
with the power of life and death can control [the] selective environment, killing dissidents as a lesson to the others, but this is pathological, even if real, as we see with Putin's murder of Navalny. At the other end of the spectrum we can use the Platonic angel principle, establishing the formal independence of different particles produced by variation in Hilbert space and quantum mechanical selection. In effect I am promoting an entirely different cognitional paradigm and trying to map it onto the data at all scales from elementary particles on up, basing it all on the selective power of the eigenvalue equation. Jonathan Steele: Alexei Navalny obituary
We need a direct on the spot refutation of field theory whose natural beginning is the cosmological constant problem. One foundation of development is the order of evolution which requires a stable reproducing base with variation and selection as the foundation for each new species [and this new principle holds at all times and scales, establishing a local direction in evolution]*. The initial singularity is the first to play this role and it passes its powers on to its children.
Why do we need perturbation theory? Why not just do things one quantum at a time, logically and completely at each move which is the solution to an eigenvalue equation which causes (eg) the emission of a spectral like [ok at the elementary level, but evolution is in effect perturbative, as is the polishing and figuring of telescope mirrors and other prevision products]. My story feels pretty good so far and now I must apply it to slaying the old dragons that have become embedded in physics and theology with a new species, [cognitive process, a recursive process, based on quantum mechanics, which creates the world by making larger and larger coupled Hilbert spaces]. Alfred North Whitehead (1979): Process and Reality (Gifford Lectures Delivered in the University of Edinburgh 1927-28)
[page 200]
Two new principles:
1: Order of evolution, * above. [now principle 4, name="foundation"
2: The application of P vs NP to quantum evolution: the process of reproducing a new species developed by a random NP process linked to a 'quantum P ', ie there exists a hermitian operator capable of deterministically solving the eigenvalue problem set by the NP and of reproducing itself by a quantum algorithm / operator, in other words it must have the power of the initial singularity to reproduce the new species discovered by NP [this process also operates in the classical regime, as described by Darwin] [not principle 5, name="PversusNP"
Now to Joffe and Witten Carlson page 143: "6: Mathematical perspectives; 6.1 Methods: 'Since the inception of quantum field theory, two central methods have emerged to show the existence of quantum fields [processes. algorithms] on non-compact configuration space (such as Minkowski space). These known methods are:
(i) Find an exact solution in closed form
[page 201]
(ii) Solve a sequence of approximate problems, and establish a convergence of these solutions to desired limit.
the Universe has already done this and continues to do it, since the evolutionary process is scale invariant and can all be encapsulated in the von Neumann axioms. In the previous pages of this site we have already established the hopelessness of quantum field theory, now we present the alternative within the general parameters of the Millennium Prize problem. Write this into cc25_chromodynamics and then go back and tweak all the other pages to fit, including a note in the introduction to the effect that this site is the ground preparation for the construction of a solution required for the Millennium Prize.
Slowly a plan for me and the Universe merged from the mist and it is back to my poor half drowned and mouldy copy of Streater and Wightman. Streater & Wightman (2000): PCT, Spin, Statistics and All That
Due to the civil war the US has abandoned the role of world policeman which is a good thing because is is rife with Christian hypocrisy, and Europe must take over its own defence, holding Russia at bay until a regime change into real democracy equips it to join the human world.
[page 202]
Field theory is a lame duck. Why? It has no room for cognition, divinity, initial singularity and evolution.
Monday 19 February 2024
Why particles? Because the particles are what we observe. Why fields? they are an attempt to explain how the particles behave as they do. Do they work? Not really [we have all we need in particles, messengers (bosons) and sources (fermions)].
Following in the track of Aristotle from physics to theology. He used potency and act and the axiom that no potency can actualize itself, derived from Plato's form and matter, hylomorphism. What do we have to work with now? Quantum field theory, built on Hilbert space (form ?) and Minkowski space (matter ?) driven by energy (gravitation ≡ the creator). What we want, they say, is axiomatic physics, Hilbert's sixth prize [but we can ditch field, since an unmodulated continuum (vacuum) carries no information
Streater and Wightman page 1: ' . . . . the quantum theory of fields never reached a state where one could say with confidence that it was free from internal contradictions—nor the converse.. . . The present book is devoted to an exposition of some of these general insights [into QFT], the physical ideas they embody and the mathematics necessary for their proofs.
[page 203]
S & W page 2: ' The task of the first chapter is to provide a language in which the physical transformation properties have a simple description. For example, the concpets of bare mass and bare vacuum need not be and are not introduced [and from our point of view relativity only enters the picture after the Universe has created particles and spacetime].
Field theorists speak as though the fields are outside their particles guiding them. But comparing particles and fields to a free society, each of us is controlled not by an outside field (which would involve violence) but by norms of behaviour which we have learnt and internalized since childhood and we may expect a similar situation with fundamental particles, each containing internal algorithms [operators] which determine its response to external signals. One of the most important parts of Wightman's zeroth axiom is von Neumann Hilbert spaces, which we understand to be the internal genetic (kinematic) component of particles made dynamic by an injection of energy made available by deepening gravitational potential. (see page 17: Gravitation and quantum theory—in the beginning)
The foundation of the world is music and Hilbert space and the role of quantum mechanics is to extract a spectrum ([tuning] a scale of notes) from the random Hilbert spaces created by Turing computable functions mapping fixed points into the naked gravitational initial singularity. Music is the field that locks onto the fans.
[page 204]
The best critique of quantum field theory is the replacement, starting with music and Hilbert space. We start with the zeroth axiom and Hilbert space and first reject the vacuum via the cosmological constant problem and the measuring tape analogy.
cc24_theology_physics The first 23 pages of the site have provided us with the ingredients for a theory of everything. Now we put them together, throwing away the useless pieces of QFT.
Tuesday 20 February 2024
Finally settled on a title for cc24_theology_physics, removing the reference to quantum field theory which I now think is irredeemable. After spending a lot of time trying to save it through thinking about Wightman and Carlson. At last I have come to find my own track, by updating the traditional Christian theory of everything with physical data, beginning with the Galileo affair. Now I can have plain sailing going through cognitive cosmology page by page rejecting quantum field theory when it seems absurd and emphasizing my replacement. All this is inspired by the Millennium prize which becomes the stated motivation for the book: "Million Dollar Theology"!
[page 205]
The idea is somewhat inspired by Taylor Swift's Eras. The Eras Tour - Wikipedia
How to prove that all quantum interactions are one-on-one - is it an entropy thing [this moves the probabilities of interactions from the Feynman perturbation diagram approach to the probabilities of the meeting of eigenvectors out of the spectra of two interacting particles - the as yet vague "conversation picture" of "measurement"].
Wednesday 21 February 2024
When I entered the Dominican Order at the age of 18 I thought that I was casting aside the world, the flesh and the devil and entering a better and higher form of life characterized by poverty, chastity and obedience. This of course turned out to be a delusion embedded in head by a lifetime of Catholic indoctrination. My sketchy scientific education saved me and I soon saw that if theology were to become a science, we must assume that the world is divine and get the evidence for scientific theology by observing the world. Now nearly sixty years later, I am with Thales in a world full of gods and I feel my god every time I experience the force of gravitation. As I approach 80 this feeling grows stronger as my body grows creakier. Thales of Miletus - Wikipedia
The basic cognitive cosmology scenario for the representation of the initial singularity makes no mention of space-time or special relativity and it is not until we come to cc17_gravitation that we see the creation of dynamic particles and spacetime out of kinematic quantum mechanical stationary points and we attribute
[page 206]
this process to the bifurcation of naked gravitation into potential and kinetic energy, creating particles analogous to the initial singularity with dynamic bodies associated with [kinematic] Hilbert minds and the parallel creation of Minkowski space [??]. How does this work? The explanation should perhaps be contained in cc12_hilbert_minkowski and is closely related to cc14_measurement.
Problems on uploaded site cc19, cc24.
What we need to understand is how dynamic particles create Minkowski space from Hilbert space. A serious clue resides in the velocity of light as the creator of null geodesics. What we are saying in effect is that naked gravitation does not have or imply spacetime which we take to be a consequence in some way of quantum mechanics, maybe through the Dirac equation. What I hope to do is think like evolution and cook up what quantum mechanics has to do to add the feature of Minkowski space to its foundation in naked gravitation by breaking gravitation into potential and kinetic energy to make particles and the Minkowski space they live in. Special relativity is closely connected to electrodynamics and gauge symmetry as Weyl believed and somehow it would be nice to justify Weyl's belief. We have to think more about the computational power of
[page 207]
of quantum mechanics. Question: how does quantum mechanics make electrodynamics 1040 times stronger than gravitatinal dynamics? We feel that such a big gap needs to be exponential and computational and cannot be linear. How do we get such large factors from cognitive theory.
Maybe this is simply because quantum mechanics is algorithmic and gravitation is not, but on the other hand we get all the mass of an electron out of the gravitational potential at the moment of creation of the electron?
Does spacetime have mass? Is it the principle of individuation (and in the case of photon, 'non' individuation, or the transfer of quantum states (but not information?) Is space a quantum mechanical development of fermions. Do fermions cause space or does space cause fermions?
One is desperate to get this story right because the implications are so profound but an angle of attack is not clear, but hoping for some vision. At present quantum computers cannot multiply 3 x 5, let alone explain a factor of 1040. Xavier Waintal (2023_12_29): The Quantum House Of Cards
[page 208]
On the other hand the rate of spontaneous fission of various nuclei can be a very small number arising from a negative exponent. Mass ≡ frequency. Frequency of space is 0 so mass is 0.
Legislation is just empty words until it is activated with money to pay salaries and get people moving. The same goes for Hilbert space and the motivation comes from deepening the gravitational potential well [to pay for the new particles which constitute dynamic spacetime].
Did the Wright brothers know Bernoulli's principle? Ed Regis (2020): No One Can Explain Why Planes Stay in the Air
Replicators and genetics. The initial singularity is a replicator and so are all its children. Eörs Szathmáry (2006); The origin of replicators and reproducers
Sentences are my treasures like lines to a poet or riffs to a musician.
Artificial intelligence and the eigenvalue equation. Quantum intelligence and the eigenvalue equation. Hermitian operators and clear and distinct ideas: quantization. Open AI (2024_02_15): Video generation models as world simulators
The first thing the Universe has to do after it has made a Hilbert space is to set up an operator and find the vectors to solve the eigenvalue probem for it.
The basic idea of a group is that it cannot cease to exist because the annihilation of any element automatically creates another element [the group property]. Group (mathematics) - Wikipedia
[page 209]
I can only say that apppears to me to be true since I have to admit that I am no Einstein or Weyl [who were both subject to the same constraint]. I have a dream, however.
Evolution is attracted by new degrees of freedom because they increase the space of survival, like flight or living under water and then on land. Entropy attracts because high entropy characterizes survivors [and they can take advantage of the entropy of their environment by exploiting its properties like opportunities for concealment].
I want to learn more about space from the Minkowski metric, which tells me how it works but not why, which revolves around massless bosons and massive fermions. We need a special move to get rid of the antiparticles. They have to be eliminated very early if we are to get anywhere so we expect electroweak comes right after photons which are their own antiparticles and so not a problem [and the electroweak W and Zs are simply some sort of optioned up photons that eat antiparticles??].
How are we expected to understand how symmetry breaking causes mass? With the same twisted mentality that tells us that the quantum, a discrete unit of measure, creates uncertainty and unlimited energy. Physicists are like catholics, they will believe anything that makes them happy.
We can understand the creation of the world and the origin of life in terms of quantum conversation where each operator is a source with a wide spectrum of things to say and hear, some more probably than others. This structure probably takes care of Feynman diagrams.
[page 210]
So the answer to the creation of particles like the creation of life might be by the conservation made of quantum mechanics which works like creative industry, politics etc where you have a whole lot of people all talking to one another and eventually coming up with answers just like the neurons in my brain.
Thursday 22 February 2024
A long walk and a night of revision restore my faith in my Million Dollar Theology by conceiving of quantum interactions as conversations of hermitian spectra acting like a parliament to extract stationary structure of fundamental particles. Next step formulation of spacetime as a principle of individuation for elementary particles, somewhat a la Wilczek's seething plasma of quarks and gluons. My story is getting closer to big bang without quantum field theory vacuum, replacing it with the von Neumann vacuum [a random structure of basis vectors of a possible Hilbert space].
Gradually revising cognitive cosmology to incorporate new insights made in recent times, particularly in the formation of particles and spacetime in the early period
[page 211]
of evolution. The basic idea is that quantum interactions are conversation at the local level in the quantum regime prior to spacetime and special relativity. Person to person interaction in the classical regime is essentially independent of the wonders of special relativity [since everything is much slower than the speed of light]. In a way relativity has amost nothing to do with low energy quantum mechanics [but on the other hand massless communication particles travel at the speed of light, ie effectively instantaneously in the classical regime.
We can underline the power of quantum mechanics by drawing attention to the insights that led von Neumann to see the power of the Hilbert theory of linear operators with broad spectra. Leon van Hove (1957): von Neumann's Contributions to Quantum Theory
Friday 23 February 2024
We assume that fixed points are established by random computable functions giving us at most a countable infinity of fixed points which we may consider to be the basis states of a Hilbert space appearing and disappearing at random.
The next step is what we might call the discovery of quantum mechanics, the discovery of a linear operator and the selection of eigenfunctions and eigenvectors to establish a spectrum of stable kinematic states which we might understand by analogy with Plato's forms or Aquinas's angels. The next step, like Aristotle's union of forms to matter, is for these states to acquire a dynamic reality by receiving energy from the bifurcation of the naked gravitation of the
[page 212]
initial singularity into gravitational potential and the equivalent kinetic energy taken up by the stationary quantum states to create real dynamic particles while maintaining the zero energy quality of the underlying naked gravitation, our current model of the divinity.
We have now in effect copied the initial singularity in a manner analogous to the procession of the son from the father and the new dynamic children of the father corresponding to the spectrum of a randomly discovered hermitian operator possess the same properties as the father, including the ability to create Hilbert spaces corresponding to their inherited eigenfunctions and the omnipotence to create further imges of themselves and so on. We may see this process as analogous to the big bang [a chain reaction].
Now we turn to the interactions between the particles we have created, a random mixture of fermions and bosons observing one another and so communicating as we would expect to see between the persons of a trinity [with a countably infinite and normalized vocabulary of symbols [eigenvectors]. We see this as a random and ongoing process which has the effectof creating a Minkowski space as a network of communication between particles with 3D to accommodate the fermions and null geodesics used by the bosons, as to be explained in cc14_measurement.
Now a look at Streater and Wightman [not yet].
[page 213]
Spacetime becomes a new venue of control and selection as explained in cc20_memory.
Thoughts are coming at random, illustrating for me the cognitive quality of the creation of the Universe which I am trying to encapsulate in the relationship between theology and physics, aka mind and matter.
von Neumann articles on QM. Jørgen Veisdal (2021_05_19): The Unparalleled Genius of John von Neumann
' . . . work on the mathematical foundations of QM came to a culmination in 1929 with the spectral theorem on hypermaximal symmetric operators in Hilbert space.' Leon van Hove (1957): von Neumann's Contributions to Quantum Theory
Raymond Evans: The Conversation: Friday essay: neither a monster nor a saint … Sir Samuel Griffith, Queensland’s violent frontier and the rigours of truth-telling
I see my task as urgent so I make a pro-forma effort to work on it 14 hours per day, 0700-1400, 1400-1700 nap and eat, 1700-1200 more work. Of course I do not achieve this, but as the years roll by and my perception of the evils I wish to eradicate becomes clearer, I am becoming more dedicated to the work, although the distance I have to travel from the status quo to my dream is very great.
Now revise cc12_hilbert_minkowski,
But first Kronz & Lupler Fred Kronz & Tracy Lupher (Stanford Encyclopedia of Philosophy): Quantum Theory and Mathematical Rigor
[page 214]
What we need to make physics cognitive is a boolean representation of Hilbert space with complex linear operators. A brain is an operator and an idea is an eigenvector of this operator.
By using particles to create Minkowski space we construct a 'digital' space in which all the problems arising from continuous mathematics evaporate and blow away.
Quantum mechanics can do anything computable so we can replace silly ideas like screening and antiscreening [by imaginary ephemeral particles] with computable algorithms (operators) and let the system calculate them [the problem then is converting the quantum results to the Minkowski space where we observe asymptotic freedom and confinement].
What I am doin is a constructive theory beginning with an initial singularity which I call God or naked gravitation.
Streater and Wightman at last:
S&W page 31: We can be pretty sure that there is nothing in reality corresponding to Dirac's δ.
We would like to think that calculus has nothing to do with Boolean algebra which is the true foundation of a logical world where the quantum of action is a logical operator defined by a normalized vector. IE Streater and Wightman no help at all. None of this mathematics [of distributions] applies to reality,
[page 215]
eg set of test functions are all complex valued infintely differentiable functions, f which together with their derivatives approach zero at infinity faster than any power of Euclidian distance.' So they just look like Dirac's δ! Schwartz (1952): Introduction to the Theory of Distributions.
The more I look at quantum field theory the rubbisher it looks and I wonder (because I do not have a lot of mathematical confidence) if it is me or if it really is as bad as it looks to me. I can see why I want to build a theory of the world from scratch, explaining as I go along putting it together. Pages 1 to 11 [of cognitive cosmology] look good and now the fun starts as I set out to create space[-time].
Saturday 24 February 2024
The state of the world is depressing and my morale depends a lot on my hope for a theological reform which seems to be limping a bit as I stand at the crossroad between Hilbert and Minkowski spaces. Originally I made the blithe assumption that evolution would take care of it because the origin of spacetime promised a massive increase in entropy. I then stepped through cc12_independence of Hilbert space, cc14_quantum measurement (which introduces quantum conversation), cc15_invisibiity which explains why we do not see quantum mechanics working and cc_16_zero_energy to explain the nature of divinity and naked gravitation before I got to cc17_gravitation
[page 216]
which finally explains the transformation from kinematic Hilbert space to dynamic Minkowski space, the result of the creation of bosons and fermions. The traditional assumption of the pre-existence of Minkowski space explaining the spin-statistics theorem is to be revised here saying that spin-statistics, established by variation and selection is the source of spacetime in the primordial relationship between gravitation, quantum theory and spacetime. This still looks good, but I need to look at the spin-statistics theorem again and foreshadow it in cc12_hilbert_minkowski to make the progression from cc9_create_hilbert to cc17_gravitation logical. We are concerned here with chicken and egg problems whose solution seems to be the notion that Hilbert feeds eggs in the form of variation and genetics into the Minkowski chicken factory which uses gravitation to animate the kinematic eggs into independent dynamic existence. The dynamic initial singularity filled with kinematic Hilbert space is the paradigm of this whole process derived from Augustine's idea that his God's image of themself in in reality the Son of God. Here we are looking for an application of the distinction between mind and body to explain the creation of bodies from minds by the transformation of naked gravitation into potential and kinetic energy. This paradigm should appear in cc12_hilbert_minkowski!
[page 217]
The probability of a connection varies as the entropy of the operators involved.
I am a happy mess.
