Notes
Sunday 6 August 2023 - Saturday 12 August 2023
[page 180]
Sunday 6 August 2023
The big question is whether I can stand by my theological position. This splits into two parts. First, is the universe divine, does it play all the roles traditionally attributed to god? Here I can happily say yes, on the grounds that the quantum initial singularity which is the source of the universe is identical to the Christian god derived from Aristotle and Aquinas and endorsed by the
[page 181]
Church. The second phase, a description of the emergence of the universe in the initial singularity is more difficult. We already have the standard model of quantum field theory and the cosmological model built using the standard model, the theory of relativity and the information available from the cosmic background radiation as a guide to the correct theory. The question then is whether my model is both consistent with the data upon which all this theory is based and a singular and more efficient description of what is happening. One strong plank in my platform is the heuristic of simplicity fuelled by the fact that the universe began from a structureless initial singularity. Also my embrace of the psychological theory of the Trinity. This is the more exciting and uncertain part of the project which may yet pay off with an explanation and reconciliation of quantum mechanics with gravitation and special relativity without problems of infinity and renormalization. It is my hope to get a foot into physics to promote my idea of uniting it with theology. What can I do other than this? It is pure self indulgence, and it might lead to a payoff. It is in any case me being myself, as I see the career of Jesus living, through his heart, the life of god as he understood the real life of a son of God. The big issue is the interface between science and reality and imagination, variety and fairy tales, both the key to evolution and the foundation of evil arising from evolution like the Catholic Church, Putin and Patriarch Vladimir, Stalin, Hitler and Trump.
[page 182]
Am I a victim of the same spring of delusion? Only evidence can save us. We begin with noise and transform it into music by superposition. Every good thing has a bad side. I have suffered a lot for love and now I have lost all my wives and children but I am not daunted, I have a glorious resurrection to come, maybe this year if I press on without faltering. The church crashed my childhood, but I will win in the end. The only answer to intellectual abuse is a new paradigm. The power of my model of the universe is that it is not just a theory of the four fundamental forces, but truly a theory of everything.
Can I put my heart into print? Too shy?
Monday 7 August 2023
Monday morning and I wake with the usual feeling of despair or exponential dread as I make a dreamlike effort to understand the instability of the initial singularity. Perhaps this is the psychological state that leads so many to place their faith in an omnipotent and omniscient being that will take are of everything and I am playing with fire imagining an uncontrolled omnipotent being that is controlled only by consistency, my starting point for a universe. Perhaps there is an Oppenheimer feeling, derived from the ancient classical discourses on the inevitability of war and destruction within families. Bhagavad Gita - Wikipedia
From this point my theory of peace is doomed and my
[page 183]
objection to the truth of the Catholic fantasy of post mortem heaven fills me with shame, just as the Catholic notion that sexual bliss is the epitome of evil and the route to hell, the shame that sent me into the Dominicans. I have come out, but that coming out requires the rejection of values instilled in my childhood which still carry weight in my mind. So again I must turn away from indoctrination into the evidence of the beauty and stability of the world I inhabit despite all the evils that it manifests. The divine aspect of this insight is the rejection of the gnostic idea that there is a principle of evil that we must fight against and the conclusion that the evolutionary paradigm that brings goodness and complexity into the world has a dark side in selection, so that not every creature that is born, like me, can be guaranteed to be a winner. Many are born but limitations of resources mean that few are chosen. On the other hand, sharing rather than winner takes all reduces evil and and expanding our culture into transfinite space creates unbounded room for us all, as I thought I had discovered in my 1987 theory of peace. The Universe is Universal because it is bounded only by consistency and I must incorporate this into my model of evolutionary creation at the beginning with a model of gravitation in a zero energy universe, the struggle I am having trying to get past cc17_gravitation. Like Aristotle and all theologians ever since I must
[page 184]
start with the eternal irrefutable initial singularity whose essence is to exist. So plough on and do not despair. I exist (Descartes). Jeffrey Nicholls (1987): A Theory of Peace, Manley, D. B., & Taylor, C. S. (1996): Descartes Meditations - Trilingual Edition
Tuesday 8 August 2023
The advantage I am looking for in cognitive cosmogenesis is to replace a warlord inspired theology that sees power coming down from an omniscient and omnipotent divinity that, they claim, made us, knows whats good for us, controls everything, rewards the obedient with an eternity of bliss and the disobedient with an eternity of pain; with a divinity that is omnipotent but constrained by consistency and driven by the need to increase entropy by favouring peace and cooperation rather than the creation of enemies by producing arbitrary rules and then configuring them to maintain control. With this sentence in mind, I am trying to generate a cosmo-genetic story that is a story about the creation of order. Cosmos - Wikipedia
Quantum mechanics and Hilbert space are all about timing. Feynman QED Introduction. How does quantum mechanics turn time into space, maybe via Minkowski metric which makes quantum mechanics possible in space [and stops time with null geodesic]. We are looking for a cognitive / computational process here and we might like it to have something to do with the bifurcation of action into potential and kinetic energy. Richard Feynman (1988): QED: The Strange Story of Light and Matter
[page 185]
Can we say that Hilbert space is a kinematic entity in the initial singularity, a representation of complex time as suggested by the Minkowski metric and the notion that photons travel at the speed of light. My use of the Minkowski metric to enable the existence of space consistent with quantum mechanics in Hilbert space is starting to get deeper meaning as I continue to struggle with gravitation. The idea I think I need appeared as a fresh insight in page 18: Transfinite Minkowski space Now I think it through in more detail in the context of kinematics and dynamics and the real and complex numbers and the role of a clock in a computer and the introspective view that spirit is closely related to knowledge because from a conscious point of view, as Lonergan sort of realized, insight is kinematic [arrives uncaused]. Here I am giving new meaning to cognitive cosmogenesis. Now it is walk time. Like the relationship between love and work, spirit and matter.
Different vectors in Hilbert space are different clocks.
Speculative theology chapter n: 'Gravitation is the real part of the initial singularity in which Hilbert space and quantum mechanics are written using orthogonal basis vectors which are in effect orthogonal [unsynchronized] clocks operating independent computations in a network which requires harmonic relationships to work properly since it has no memory for buffering.
[page 186]
In Minkowski space one achieves memory by travelling at the speed of light. You cannot have something kinematic without having something real to drive it. Since everything in quantum theory depends on phase and time the purpose of a photon is to carry a message of constant phase in time.
To ask the purpose is to invoke the final cause but given the random foundation of evolution many outcomes that achieve some purpose can be [understood] as having arisen purposefully and because they perform a useful function they become fixed by selection.
A photon is a statement in Hilbert space written on Euclidean space. Why does it travel at the speed of light? In order to carry a timeless message, ie to follow a [null] geodesic.
We have to start the page on gravitation from Minkowski space. How does quantum mechanics make Minkowski space? How does Minkowski space make Einstein space? By forming closed networks like ideas in a brain (Eccles). John C. Eccles: Innovation in Science: The Physiology of Imagination
How do we get spacetime in Minkowski space out of this. Another break of action into space and time. E2 = m2 + p2
Wednesday 9 August 2023
I have a big mental block about cc17_gravitation
[page 187]
although the zero energy idea and the relationship of gravitation to quantum theory that says that gravity contributes energy to kinetic eigenfunctions in Hilbert space seems reasonably logical, but for some reason my mind does not trust it which means to me (with faith in my mind) that there is some other point to be settled. What this may be will, I hope, become clear. I can of course argue that Minkowski space makes the quantum origin of spacetime logical since the transmission of quantum states through spacetime is made possible by the existence of null geodesics. The actual details of how this happens may be still hidden in the Hilbert space variation which has enabled the selection of the Minkowski metric, and given this metric we can accept the existence of quantum communications in spacetime which enable the network implementation of the differentiable manifold, each instance of differentiation being interpreted as a message between two points of the Minkowski space which serves to implement the curvature of this space by coupling tangent spaces to one another with curvature which implements curved geodesics or orbits like the orbit of the moon or the orbits of around the event horizon of a black hole. What we are asking for here is faith in the ability of the evolutionary process, in a zero energy context, to create Einstein space from Minkowski space. This is not so tall an order when I recognize that evolution has created me (and my troublesome mind) out of fundamental particles. So let us accept the interaction of quantum
[page 188]
mechanics as a pons asinorum that has been crossed by the same power that gives us intelligent life.
I am becoming familiar with my ideas of gravitation. How does the interior of the initial singularity grow?
Methodology: Building a fortress in a roughly stacked pile of wood. First dig down to the base (initial singularity) and then start laying the wood neatly to create walls, excavating the messy stuff and arranging it into walls. Still doing this 70 years later and probably not much wiser.
I am beginning to think that I am getting somewhere with cc17_gravitation. It looks quite mad, but what if it is true?
Thursday 10 August 2023
The US disaster symbolized by Trump is based on falsehoods which can be traced ultimately to theological beliefs in spirituality and individual immortality. I am trying to bring scientific realism into theology by uniting it with physics, but am I being faithful to the physics with my model of the universe? What I am trying to do it so hover over all the details of physics by providing a general picture of evolution which honours all the detaik of physics while providing a simple paradigm to convert it to daily experience. My best effort, cc17_
[page 189]
and quantum theory—in the beginning seems to be rather esoteric but it is closer to reality than the modern efforts to unite gravitation and quantum mechanics via the general concept of the zero energy universe. My model is now gradually becoming clear,and once it has reached a stable form the next step is to 'prove' it by showing that it covers all the bases consistently. Can this be done? Are my fantasies (hyptheses) possibly true. Does my story (the book) do a better story of physics? theology?
Hilbert space are kinematically attached to all particles including the initial singularity which is formally a particle. Consequently we consider all particles as divine so that Thales 'the world is full of gods' is verified. Each particle carries positive energy which is equivalent to the negative potential energy carried by the local gravitational 'field', a consequence of the quantum of action associated with a particle being bifurcated into potential and kinetic energy while at the same time maintaining its initial symmetry as a quantum of action. We need to translate these ideas from physics into cognition for them to make sense. The issue here revolves around the relationship between kinematics and dynamics in the execution of computation.
The role of gravitational potential in observation and
[page 190]
harmonic oscillators which are described by Hilbert space and have a symmetry established by the fact that all Hilbert spaces are identical apart from their dimensions. In other words, the discussion in cc17_gravitation establishes a primordial symmetric process involving the initial singularity that occurs identically (apart from Hilbert dimensionality) in every fundamental interaction in the universe. cc17 therefore establishes the foundation for the subsequent pages of the site.
The elements of this primordial symmetry can be indexed by the natural numbers which index the sizes of Hilbert spaces which index the number of vectors in a particular superposition which index all the elements in a piece of music which index all the computable functions which are coupled to the countable Hilbert space that can be transformed into the Turing Universe which is am image of the Hilbert vacuum which is indexed to every discrete particle in the universe (or something like this).
'All this countably infinite set of real particles each carrying its personal element of the Hilbert / Turing kinetic vacuum can be arranged by Cantor's process of permutation and combination to form a transfinite network universe in what I have called transfinite Minkowski space [which carries all the network communications along its null geodesics]. So after the struggle with gravitation, things are once more beginning to fit together ti make the universe Now it must be afternoon rest time.
[page 191]
Measurement revisited [in the light of cc17]
The elements of a band, orchestra or choir are united by the eigenfunctions of their individual sounds, ie basis states (notes) of the music.
All measurements may involve gravitation in the conservation of energy. Conservation of energy almost always involves gravitation for balancing.
Hilbert riffs = superposition in a region free of space and time. We are not talking about time, just a complex kinematic variable which characterizes the basis vectors of Hilbert space. No dimension is given by the axioms of abstract Hilbert space.
Zero-sum complexification operates in the region of classical physical dimensions to maintain the independence of the cognitive nature of the divinity by establishing that all the conservation laws in physics are centred on zero, so the conservation of energy is established by maintaining total energy at zero by the sum of potential and kinetic energy. Similar zeros can be established for linear and angular momentum and maybe for mass, length and time? All of this is designed to maintain the simplicity of the divinity. So do we have positive and negative action, positive in Hilbert space, negative in gravitational space, and if action = logical not, is not its own anti-operator?
[page 192]
I feel that I am often idle but the idleness is not wasted because like a hunter I am waiting for my prey and there is no other way to do it but to sit still and wait because activity may scare the prey off. Does this go for insight?
Democracy probably works when there is a fair vote, fair education, and accurate messaging, but it can still fail if it does not take into account all the details, needs and properties of our habitat that are revealed by science., If we destroy our planetary support system, we destroy ourselves.
Friday 11 August 2023
The days are slipping by and the 2023 deadline for my book approaches relentlessly.
Another idea worth a day's work? The quantum origin of Minkowski space. I have already begun this step in step in page 12: The quantum creation of Minkowski space but more or less forgotten about it while worrying about cc17_gravitation. However, as is clear from Einstein's 1915 conclusion, the quantum theory (if I am correct) is embedded in Minkowski space and all the quantum communication in Minkowski space that enables the implementation of the "Turing vacuum" is managed by massless bosons moving on null geodesics since we do not need any gravitons. The network structure is sufficient to establish the differential
[page 193]
manifold structure that we need for gravitation. Somewhere above I noted that I needed a new insight to get the relationship between zero energy, gravitation, quantum observation and particles right. I already had it in hand, but as is the case with many insights, it has been lurking hidden in my mind since I began cc12_hilbert_minkowski on 22 February 2022, ie 18months ago. So frabjous day.
But now I am upset with gravitation and am suffering as much as the physics industry, but keep reminding myself that I have got 20 years to complete my theology project. Back to the drawing board. This must be possible, of course. The world is here and it works, and we have strong faith in the evolutionary paradigm behind my story, not to mention the singularity and the increase in entropy that is necessary to make sense of the world.
So what? Whatever it is, it has to be based on reality. The initial singularity is a reality [attested by very ancient theology and the fact that we are here]. Is it quantum or classical or both? I have opted for both, I think, Hilbert space and a continuous complex (?) differentiable manifold mapping onto itself. Read Sonnenschein tomorrow. Sonnenschein & Green(1977): Elements of Complex Analysis
I am getting very slow. The bit I am missing is the conversion of a Hilbert basis state, understood as a quantum of action, into a bifurcates state of positive and negative energy sharing the negative with gravitation, the positive with matter.
[page 194]
. . .
Saturday 12 August 2023
Sometimes the stars might be right: "Usually you are brutally honest with yourself about what can and cannot be done but just lately a degree of wishful thinking has crept into your mind (Japanese Fairy Tales?). Is that a bad thing? No it isn't. If you desire something enough you WILL find a way to get it.' Maybe. My theological dream is feeling a but tatty this morning (a frequent event) As usual I have to fall back on the data. How can an enormously complex system like myself come to be in a universe that started with a totally ignorant but omnipotent divinity. I have a theory but I do nit seem to be happy with it but I know the right one must be there. I feel as though I have nearly conquered gravitation but I cannot believe it to I just keep writing. . . . The news conspires to make peace look impossible but my body tells me the opposite (even though it is getting a but old). Why do revolutionaries so often put their hope in destruction as though better systems will come from chaos rather than from incremental improvements to what we have which seems to be the evolutionary way. My development plan is to evolve, continually trying variations and selections from the story so far. Grace James (1979): Japanese Fairy Tales[page 195]
Von Neumann: Measurement is creative (increases entropy) Chapter 5, pp 227 sqq. Search reveals this ideas sprinkled through my notes [ about 15 times from 2007]. John von Neumann (2014): Mathematical Foundations of Quantum Mechanics
. . .
This ideas has certainly spent a lot of time wandering around in my mind and now it is ready to be imported into cc17_gravitation and the creative power of measurement where we may be able to exploit the recurspve and non linear property of gravitation in the explanation of creation. I hope this maybe the idea that enables me to finish [this page] after weeks of delay.
[notes20m07d05]
[page 21]
Here comes a radical ansatz. The conventional approach to quantum mechanics assumes that Minkowski space is the domain of Hilbert space so that when we set out to devise the relativistic version of quantum theory we have to perform Lorentz transformations on the Hilbert space. Here we take the opposite view, that Minkowski space is the consequence of applying
[page 22]
the mathematical theory of communication to Hilbert space which has the effect of "building in" the Minkowski space into inertial space. The route to this solution is that both Hilbert space and communication spaces are function spaces one complex and the other real. How we pull this off I do not yet know, but this is the ghost of a very productive plan which will come clearer when I read Veltman for the nth time since this idea has been cooking in my head since I got Veltman in 2000. Martinus Veltman (1994): Diagrammatica: The Path to the Feynman Rules
This 'radical ansatz'. Only mentioned once in all my notes, discovered after 2019 honours thesis, now 3+ years ago. Let us say this idea is the foundation of the 'homemade PhD' [which is now becoming the book Cogntive Cosmogenesis].
Quantum Logic in Historical and Philosophical Perspective de Ronde et al. 'According to Werner Heisenberg, the concept of a probability wave
[page 196] "was a quantitiative version of the old concept of 'potentia' in Aristotelian philosophy. It introduced something standing in the middle between the idea of an event and the actual event, a strange kind of physical reality just in the middle between possibility and reality." 'quantum possibilities interact with eachother' [like ideas in the mind]. de Ronde, Domenech & Freytes Quantum Logic in Historical and Philosophical Perspective' The fact that states may be linearly combined forbids the use of subsets as representations of proposition, they are instead well represented as closed subspaces of H' which are, it seems, subsets of H!.
The measurement problem: Hilbert space revolves in an infinite dimensional complex space. Minkowski space revolves in 4D space with one complex dimension.
Einstein Essays page 109: 'No space and no portion of space is without gravitational potentials, for these give it the metrical properties without which it is not thinkable at all. The existence of the gravitational field is directly bound up ith the existence of space. Albert Einstein (2009): Einstein's Essays in Science
This might be the first time in 78 years I have have flirted with the thought that my life's work, which appears to gave been to facilitate a revolution in theology, appears to have come to a dead end. How can this be possible after so much optimism and apparent success? What has been going on inthe back of my mind?
[page 197]
What next? Can I get back on track? Perhaps I am trying to overachieve by totally revising physics as a branch of theology. I will leave the websites for a while and start on the book: Cognitive Cosmogenesis: A systematic integration of theology and physics. A temporary death. Start a new life.