Notes DB 92: Physical Theology II - 2025
Sunday 1 June 2025 - Saturday 7 June 2025
[page 184]
Sunday 1 June 2025
The basic idea is to use the process of evolution to eliminate the need for a divine mind to explain creation of more and more complex molecular structures where by molecule we mean any system of binding fundamental particles from hadrons to gravitationally bound masses of gas.
Jacinda Ardern: A Different Kind of Power Jacinda Ardern (2025): A Different Kind of Power
The struggle always is to find a form of words for what I want to say. What I want to say is how do we design two hermitian operators that can exist in the same 2D Hilbert space and express the qubit |Ψ〉 = a|boson〉 + b|fermion〉.
The nature of the electron? The nature of the photon?
Einstein’s objection to quantum mechanics was
[page 185]
that it only gives the probabilities of finding electrons in an atom in certain states (orbitals) that fulfill the quantum rules of communication within the atom without actually explaining the nature of the electron.
The electron and the photon are observable entities in Minkowski space and we want to find the quantum states that actually yield these results when the particles are observed, which is to say the particles that emerge when certain particles in Minkowski space interact with one another. Here we have a chicken and egg problem. In the Compton scattering experiment we begin by hitting an electron with an xray photon which can reduce the energy of the xray photon while giving energy and momentum to the electron. We imagine that the photon is annihilated and a new photon created while the electron maintains its identity.
von Neumann page 17: eigenvalue problem = integral equation. John von Neumann (2014): Mathematical Foundations of Quantum Mechanics
Qiu-Hong Hu: The nature of the electron: [Thank Google: just what I was looking for in the paragraph above]. Qiu-Hong Hu (2005_12_29): Qiu-Hong Hu: The nature of the electron
It is hereby postulated here that the topological structure of the electron is a closed two-turn helix (a so-called Hubius Helix) that is generated by circulatory motion of a mass-less particle at the speed of light.
Qiu-Hong page 7: ‘Theoretical physics has for a long time used abstract representations . . . they are indeed very useful and even essential auxiliaries of reasoning. But one must never forget that the abstract representation
[page 186]
has no physical reality. Only movement of elements localized in space in the course of time has physical reality (de Broglie). M. L. de Broglie: 13 Remarques sur divers sujets de physique théorique,
At last I am getting to the interesting part of physical theology, the interface between the abstract spiritual quantum mechanical representation and the real world of Minkowski space which I take to be realized by ‘measurement’, but that is done from Minkowski space. How does quantum mechanics make itself real? With gravitation, energomorphism. As usual I have coined this term and skipped over the problem but now I must get right into it with help from de Broglie and Hu. But first go to the shop and get cheese and jam to get me through the night.
Hu page 7: ‘While the abstract representation prevails, a true rapport of the electron has not emerged over the years.
page 8: “As triumphs of the theory spin ½h and magnetic moment of eh / 2mc of the electron are contained in Dirac’s mathematical construction but left unexplained. Dirac equation - Wikipedia
page 11: ‘The purpose of the present work is not to treat the electron as a dynamic system but as a topological object or spatial temporal structure into which physical attributes can then be incorporated.
page 14: e− + e+ = γ + γ' and vice versa
[page 187]
Hu page 16: ‘The annihilation is hence to be understood as unwinding the two Hubius helices of the same radius of cursture and opposite parity and twist, whose consequence is the reation of two photons with opposite polarization.
page 17; Dirac electrons: The Dirac theory of the electron contains many new features which are absent in previous theories: particle /antiparticle // spin up / spin down.
‘In the Dirac theory these features are revealed by algebraic manipulation, whereas in the present formulation the features appear as natural consequences of the topological and geometric features of the Hubius Helix.
page 18: Hubius Helix and Dirac spinors: Cartan. Spinor changes sign after 2π rotation and returns to original after 4π, same as Hubius Helix. Spinor - Wikipedia
page 20: Zitterbewegung is a self consistent description of a free Dirac electron.
page 21: Fine structure constant, α: Uniqueness ofα arises from three fundamental constants and is dimensionless.
page 23: Surface bounded by Hubius Helix is a Möbius strip.
page 26: ’Thus the present formulation has provided a geometric interpretation of the fine structure constant and the anomalous magnetic moment, bestows an explicit
[page 188]
geometric meaning on the radius of the elecron and justifies the relation e2 / r2 = mc2.
Hu page 26: Charge and charge conservation: magnetic monopole route and flux quantization.
page 27: Dirac: ‘If there exists any monopole at all in the universe all electric charges to be such that e times this magnetic strength is enℏc.’
‘ To render the charge a geometrical attribute it s necessary to identify some geometrical feature of the Hubius Helix with the charge.’
Hence the twist reduces the charge, a physical attribute of the electron, to a geometrical attribute of the Hubius Helix. At the same time it gives meaning to the coupling constant α / π in QED,
page 28: Joining special relativity and quantum mechanics through the Hubius Helix gives the relationship of mass and radius of electron as h / 2mc. If the radius of curvature k = 1 / r, these relationships become identical if c = 1 and h = 1.
page 29: so the origin of mass can be understood as action in curved space.
4.12 Certain transformation properties of the Hubius Helix.
page 40: Einstein: ‘You know, it would be sufficient to really understand the electron.’ Woolf (ed) Some Strangeness in the Proportion page 418. Harry Woolf (1980): Some Strangeness in the Proportion : A Centennial Symposium to Celebrate the Achievements of Albert Einstein
Optics and Photonics News. Chandra Roychoudhuri & Katherine Creath: The Nature of light: What is a Photon.
Arthur Zaljonc: Light Reconsidered [in above special issue]
page S3: ‘there is no hermitian operator that straightforwardly corresponds to position for photons.’
[page 189]
Zaljonc page S-3: ‘Nor is a single photon easy to produce. Single photon states can interfere with themselves. Spin 1, Bose-Einstein.
Photons are defined by momentum/energy and polarization, no position or time - outside spacetime.
September 21, 1909 at Salzburg, Einstein delivered a paper to the Division of Physics of German Scientists and Physicians on the same subject. Its title gives a good sense of its content: “On the development of our views concerning the nature and constitution of radiation. Albert Einstein (1909): On the development of our views concerning the nature and constitution of radiation
Roychoudhuri page S-5: Rodney Loudon: What is a Photon?
Monday 2 June 2025
My Dateline shares are going mad, another Poseidon bubble? Don’t sell too soon this time. They are promising President Trump rare earth elements [that he can’t get from China] and getting listed on a US exchange so there is nothing to stop them.
Tuesday 4 June 2025
Another run through the book from AM Production. Would like to know is they ever put any editorial inout into their vanity jobs or are they simply a manufacturer of vanity volumes. What commitment do they have to marketing?
[page 190]
Proofreading my book for the nth time. The ratbags at Austin Macauley have sent me a copy without any of the last round of amendments and corrections included. Should I trust a vanity publisher [I must, there is no other way at this stage]?. Blurb from the book page 148:
Mathematical stories that are interesting and logically consistent are admitted to the mathematical canon. Organisations like the Clay Mathematics Institute are aware that physical speculation is a rich source of mathematical ideas so they promote cross-fertilisation by offering real big money hoping to energise work in this domain.
When this book comes out we will enter it for the money. It is a radical revision of the relationship between physics and theology with deep implications for both disciplines and for the logic and mathematics that bind them: an epistemological and an ontological re-vision of the way we look at ourselves and our world.
Wednesday 4 June 2025
David Finkelstein: What is a photon, OPN Trends: page SA-12 [ref page 188]
First question: What do photons do? We cannot see them. We see with them: all electromagnetic radiation resovles into a flock of flying photons.
Non commutative theories: historical order is important.
Photon ‘rest mass’ = 0. Actual mass E / c2, E = cp. cp / c2 = p / c
Rest mass-energy → kinetic mass-energy.
2. Einstein G expansion: light cone field is a dynamical vatiable as much as the electromagnetic field and the fields influence one another in proportion to G.
page S-13: ‘The startling non-commutativity introduced by the G expansion is the space-time curvature. If T, T’ are infinitesimal translation along orthogonal coordinate axes, then in special relatiity TT’ = T’T and in a gravitational field TT’ ≠ T’T and TT’ - T’T defines the curvature.
The Einstein gravitational equation defines how the flux of momentum energy — with coefficient G — curves spacetime. G = 0 → special relativity.
page S-14: 3. The h expansion. Kinematics formal description of states; Dynamics - changes of state.
[page 191]Kinematics commutative; dynamics maybe not.
In quantum world observations change system observed so commutation destroyed.
Norse navigators located cloud hidden sun by sighting clouds through Iceland spa. Malus and polarization/ f’ < f means that all f’ photons pass through filter f but not vice versa. f is called sharp (homogeneous, pure) if it has no proper refinement. All sharp filtrations are non-dispersive. Étienne-Louis Malus - Wikipedia
Malus’ law becomes the fundamental Born statistical principle of QM extending basis states (polarizations) — from 2 to n.
page S-15: ‘ The physical properties of the quantum process determine the algebraic properties of the quantum matrix’ (or vice-versa).
’ Two dimensions chosen at random in a space of high diensionality are almost certainly orthogonal’ (since all basis states are orthogonal - tells us nothing!)
Eigenvalues: ‘The Schrödinger equation describes a coordinate transformation that solves the Heisenberg equation - they are duals since all sets of eigenvalues are an orthonormal basis (?).
Measurements of a photon irreducibly and unpredictably change the photon, to an extent measured by ℏ, so the question of value between measurements has no immediate experimental meaning (a meaningless tautology).
[page 192]
Finkelstein page S-16: Now we can say what a photon is. An apple is not a state but a random variable. It has states in it. It is a space of states (like arithmetic in a bag of beans). - a photon is a creature on which operators can act, a vector [really? can an operator change a photon without annihilating it and creating a new one?]?
‘Quantum theory has non-Boolean logic in much the same sense as general relativity has non-Euclidean geometry.’ Boolean logic is not commutative.
§4. A possible expansion due to Segal which might give a simpler and more finite structure a photon and other quanta (?).
‘In particular, photons too are infinitely more likely to be quanta of a kind of rotation rather than an oscillation, blah blah [an oscillation in Minkowski space is a rotation in Hilbert space, eiθΨ = Ψ] — he has missed the point and puts his quantum mechanics in Minkowski space rather than vice-versa.
S -18: Ashok Muthukrishna, Scully & Zubairy: The concept of the photon revisited: [Authors of book] Quantum Optics CUP, 1997.
Photon wave function Φ(r, t) is a mistake. Photon is independent of r, t !.
S-24: What is a photon and where is it? In what manner (and to what extent) can we regard the photon as a true ‘particle’ that is localized in space? Wrong. It exists in Hilbert space which is not space-time. [Photon is localized by its fermionic points of creation and annihilation, but nothing in between] <;p>
[page 193]
S-28: Holger Mach and Wolfgang P. Schleich: ‘A photon viewed from Wigner phase space’.
‘I don’t know anything about photons but I know one when I see it’ (Roy J. Glauber)The Eigner representation of quantum mechanics applied to a single photon.
Have spent a day reading about electrons and photons and now back to the 64$ question: how do fermions and bosons create Minkowski space. Back to physical_theology_May2025 - it has gone on long enough and my hunch is that photons are elements of [Hilbert] space in a piece of Minkowski space where there is no space and time supported in by the existence of the null geodesic 0 - dr2 - c2t2
The null geodesic is an image of Hilbert space preserved in the metric of Minkowski space, so (maybe) a photon is its own state vector, the gene of the Universe [carrying invariant phase from the point in spacetime where it is created to the point where it is annihilated, both points being coincident with fermions].
A proton is like a little universe, a potential well or black hole with free fermions and bosons inside tightly bound [contained]. It is itself a fermion capable of using photons to communicate with electrons.
The big issue is whether my approach to physics from a theological perspective opens up a practical approach to understanding the world, ie is it closer to the truth. This discussion goes near the end 0f [physical theology]
[page 194]
That’s the Ansatz for the photon. Now we have to work out why the electrons make the classical Minkowski space where we see the creation of the 3D trinity. Here the clues may come from Qiu_Hong Hu and the Hubius Helix, following the de Broglie path from abstract to complex in the 13 point. M. L. de Broglie: 13 Remarques sur divers sujets de physique théorique
The guess that Minkowski space is a quantum mechanical production is given context by physical theology and now, given what we have learnt about photons, we have to understand the exclusion principle. The quantum mechanical argument arising from sin ½ is an abstraction that might be made concrete by Hu’s model of the electron. Qiu-Hong Hu (2005_12_29): The nature of the electron.
Photons are said to have zero rest mass which is a fiction because they are never at rest. Their energy content is directly observable as frequency [so we can say that dynamic mass mγ = ℏω/c2. [We can also say] that they exist in a one dimensional Hilbert space whose basis state in Minkowski space is their energy. In Hilbert space where ψ = ei θψ, ω is their frequency and their phase ψ is independent of their frequency, impressed upon them by their source and delivered [unchanged] to their destination [since they are outside time], ie they have two degrees for freedom, phase and energy.
Kevin Brown (2018): Reflections on Relativity .
[page 195]
[Maybe] The energy is impressed upon them by their source in Minkowski space which is a fermion which has another degree of freedom represented by the particle / antiparticle dichotomy and suggests that fermions exist in 2D Hilbert space and make the tensor product of fermions and bosons into 4D Hilbert space [see another idea below]
Thursday 5 June 2025
Friday 6 June 2025
My overall model seems good. What I need now is a substantial explanation of the origin of Minkowski space and the boson/fermion real particle link seems plausible. [see chicken / egg problem page 185 above] In effect Minkowski space might seem to bootstrap itself into existence. We have a quantum superposition explanation of the Pauli exclusion principle which seems to have originated in the Dirac equation and the role of spinors?. We need to dig deeper. What is the source of spinors? The free operation of the Schrödinger equation in the non-relativistic domain engineered by Dirac’s extraction of the square root of the momentum in the 4D Schrödinger equation.
[page 196]
In other words, Dirac reduced the Schrödinger equation to 1D (conventionally rwpresented as t for time [althlugh there is no time in Hilbert space, just the kinematic rotation of polar complex numbers] this resulted in a demand for four linear Schrödinger equations and it works in Minkowski space, apart from the Lamb shift. So Schrödinger 1 complex variable; Pauli waefunction 2 complex variables; Dirac 4 complex variables replace 1 complex for “time” and 3 for “space”, corresponding to spin up/down, normal/antiparticle. Schrödinger equation - Wikipedia, Dirac equation - Wikipedia, Wolfgang Pauli: The Connection between Spin and Statistics, Pauli Equation - Wikipedia
So back to the question: does spin cause relativity, or does relativity cause spin? The four components in φ are needed map it onto Minkowski space in a relativistic way as a substitute for the mapping of Schrödinger equation onto Newtonian spacetime to create pictures of atomic electron orbitals. Brandt & Dahmen (1995): The Picture Book of Quantum Mechanics
It is tricky moving between Hilbert and Minkowski space. The old way was to paint Hilbert onto Minkowski. The new way is to let quantum mechanics design fermions and bosons, gravitation to give them energy to make particles and the process of photons carrying energy [and phase] between electrons (causing Pauli Exclusion) to give spacetime. Wolfgang Pauli (1946): Nobel Lecture: Exclusion principle and quantum mechanics
We also need to learn more about the Maxwell equation.
[page 197]
Is the exclusion principle a consequence of the fact that the only way electrons can communicate with one another is because electrons are made of photons?
4 component wavefunction works in 4 component Hilbert space? Most abstract Dirac equation (i ∂ slash - m)ψ = 0. Dirac operator - Wikipedia
I have two feelings about all this stuff: first, my ideas are hopeless; second, I am very close to the truth.
We can avoid technicalities by accepting the simple fact that particles obeying the Pauli exclusion principle need 3D space in which ti more freely and those travelling at the speed of light need null geodesics to make their sources coincident with the destinations. Then we get to deeper questions of why null geodesics at the speed of light and why the exclusion principle for fermions.
Aristotle: Nature abhors a vacuum and space is the container of bodies (so the shape of Minkowski space is determined by the fact that it contains fermions and bosons. Horror vacui (philosophy) - Wikipedia, J B Manchak: Space and Time
Saturday 7 June 2025
My quantum cognitive life. We might guess that insights come at random continually [consistent with their quantum nature] but they appear to be clustered in the morning.
[page 198]
I have been unconscious for 7 hours not registering their occurrence until I wake in the morning. So this morning I wake with the images of Brandt and Dahmen’s Picture Book of Quantum Mechanics which projects solutions of the Schrödinger equation onto Minkowski space and I see these pictures as representations of eigenvectors, ie vectors which are normalized by Feynman’s Path Integral approach to quantum mechanics which defines the fixed points in the Minkowski world as those that are linked to one another by a dynamic lego-like space of quanta of action so that the path from one to another is just one quantum of action the same way that the difference between two consecutive lego constructions is just one brick and we have seen the evolution of lego, like meccano and most other construction toys from simple bricks and perforated bars to more complex shapes to build more complex structures. B&D’s images are in effect the spacetime envelopes of all the shapes that can be made by eigenvectors of the Schrödinger equation. Brandt & Dahmen (1995): The Picture Book of Quantum Mechanics, Path integral formulation - Wikipedia
This brings me back to the question answered in the affirmative by Cantor, is arithmetic in a bag of beans which serves as a paradigm of the relationship between mathematics and reality notices by de Broglie and brought to life by Hu. So now the next section of physical
[page 199]
theology is a discussion of the archetypical massless boson [the photon] the interface between Hilbert and Minkowski and the next section after than discusses spin ½ and Pauli exclusion in the context of the archetypical fermion, the electron. M. L. de Broglie: 13 Remarques sur divers sujets de physique théorique
In my book I make some case for indigenous culture and can identify the errors in theology and physics quite closely with the errors in our treatment of ourselves, which s the error pointed out by de Broglie that abstract models can be dangerous. The abstract model of humanity pushed by the church borders on criminal: the idea that we are all sinners; that the world is defective; and that we are just here on trial before we go to our eternal payoff, either in an eternity of bliss or a eternity of pain. This has negligible contact with the real experiences we have in human space and time and the new physics and the new theology must stick more closely to experience and not get carried away with abstract theology, philosophy, mathematics or logic. At the root of a lot of the trouble is the support of the fiction of continuity against the reality of quantization and discrete logic.
The worst feature of theology and religion, quite widespread, is that violence, murder and war are sanctioned by divinities for propagation of their faiths.
[page 200]
The human world’s biggest problem is all the information in our minds which is dissonant with physically observable reality and with each other. This can only be fixed by correlation with observable input based on verifiable models of the world (or words to that effect) ie a true theory of everything, a true and trustworthy theology. Democracy can work best when this condition is met by electors and electees.
Writing is like fishing. You have to wait for a bite.
Islamic Art: Mirror of the Invisible World - Wikipedia: SBS Islamic Art: Mirror of the Invisible World - Wikipedia
Once great empires, Islam from India to Spain. Tribes of Arabia became imperial powers fed by religion. Window on the culture of ikperial power. 610 AD the beginning of Islam. God sent the Christians Jesus and sent the Quran to Islam, iw abstract wrtten word alued aboe human rality. The Dome of the Rock, were Mohammad ascended to heaven, interior inscription . Rebttyal to Chriztianity. The Quran became the focus of devotion: Calligraphy: Mohammed Zachariah - writing is the fundamental art = the mystical power of the pen. Parchment. Palimpsest. Islamic calligraphy changed in the 8th century when paper became available. Special paper; special pen. Copying Quran is a prayer, holding your breath while writing. Divine presence embodied in the word. Many buildings imbued with the voice of God.
’Alhambra building with inscription, building speaking to the inhabitants.
[page 201]
Callighraphy as it melds into ornament so shapes melted into one another come to a point which totally masks where they came from. The physical world is all a mirror of an inaccessible world. Very impressive military architecture. Great Mosque of Damascus - big enough to hold everybody. The largest surface of mosaics, representing paradise. Umayyad Mosque - Wikipedia
8th Century Ab al-Rahman moved from Damascus to Cordoba - Great Mosque Muslim Spain, 14th centuy Alhambra Palace. Abd al-Rahman I - Wikipedia
Muslim Spain: 14th century Al Hambra Palace. Muslim Spain: 14th century Al Hambra Palace.
1453 Muslims captured Constantinople - Suleiman the Magnificent. Topkapi palace. - be awake on your throne our strong hands hold the fate of the world, - Starting a new Empire: Suleiman = Solomon.
1558 Suleiman’s Imperial Mosque Süleymaniye Mosque - Wikipedia
Mosques reflect the way people perceive and understand power.
Djenne Mali great mosque -99 names of God. Sufism: mystical Islam. Great Mosque of Djenné - Wikipedia
Make life as pleasant as possible: colour and perfume and flaour.Islam mdtal inlay, different metallic colours, paints, ennamels and glazes.
Istafan Mosque: private for Shah;s royal court, very complex tiling, building dematerialized. Glazed Batik Battle of Chaldiran Battle of Chaldiran - Wikipedia, the free encyclopedia
Images of people telling tales of their rulers. Dhanameh, Book of Kings, Saing Humanity from evil, gret battled, great loe stories.
Mughal India 17th century in India. Mughal Empire - Wikipedia, Zahiru'd-din Mohammad Babur (2020): The Babur Nama
[page 202]
Water, aqueducts, Qanat - tunnelled in to water source. Qanat - Wikipedia
Mosque of Jene is adobe made of mud mud and chey butter, Timber scaffolding.
We anchor ourselves in the past via art; anchor ourselves in the history of the universe.
Ponch Hawkes - Lanuage of light: 7 episodes of Photography SBS On Demand.
Women are my subject: I have been in and out of fashion several times.