Notes DB93 Theological Genocide - 2026
Sunday 22 February 2026 - Saturday28 February 2026
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Sunday 22 February 2026
cl4l05_particles: Done
cl4l06_fermions - Dirac equation [modified monday to cl4l06_entropy
Monday 23 February 2026
so the big question is how do we get from a quantum form to a massive fermion and accompanying bosons [which is analogous to the QFT claim that pre-existing fields are converted into real particles by energy from ‘fluctuations’]. The only route to understanding is through QFT vis Behiel electromagnetism as a gauge theory, ie as a wave theory. Richard Behiel: Electromagnetism as a gauge theory
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Newton was right in Minkowski space where force and momentum are operative. How do we explain the effect of photons on positive and negative charges a) quantum mechanically and b) classically. We have to establish a relationship between QM and spacetime, to be modelled by real observable particles, fermions and bosons, which are created by the formal structures acquiring energy ie a sequence of acts realized as frequency /momentum in photons and mass in fermions [remembering that the quantum of action, like the initial singulaerity is a substance and they are formally indentical, ie, as Aquinas tells us, the divinity acts at every point in the world]. So what does charge mean and how does QFT link all this to phase / rate of change of phase / “gauge” theory. I have to watch out for this in Behiel’s treatment [which is plain vanilla QFT without Feynman and vacuum fluctuations].
“why is electromagnetism a thing”. Field is a thing? [we can feel it] or are particles [physical information] the things? The electric field is a mathematical abstraction which we wish to couple to quantum mechanics to see how it comes through from QM to Minkowski space and the answer that we want is charged spin ½ particles and energetic photons [and the proof of the pudding is the pixellation of Minkowski space].
Theory Maxwell’s equations and Lorentz force law to be derived from gauge theory [what is the specific link?]. We may think of a wave as a continuous function that can be encoded into binary by the Nyquist-Shannon theorem and this enables us to calculate the entropy of the quantum system and we may see this as closely related to the cardinal of the Hilbert space and we may interpret each Hilbert base as a ‘bit’, each bit carrying the same entropy and all orthogonal, as in the binary string representing a decoded wave [getting more information theory into quantum mechanics, which is where the real truth lies (and the murk in which my nobel prize is hidden)].Field pushes on charges - Maxwell and Lorentz, like gravity pushes on me.
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“Material properties emerge in the statistical limits of complicated condensed matter system.” how do quantum equations fit to reality? Why is EM a thing? The answer: Because the Dirac field has local U(1) phase symmetry – an article of faith,
Matter and antimatter; photons massless; electricity 3D vector; magnetism 3D pseudovector; why E and M interact; derive Maxwell, Gauss, Faraday, Ampere + Maxwell.
Lorentz force law + why is electric charge conserved. These are all related facts but how are they explained by fermions and bosons which explain spacetime and EM? We go deep.
The base dichotomy in the complex plane is between the real axis and the complex plane and we can cut it down a bit [with normalization] to the two real roots of unity and the countable infinity of complex roots.
Our foundation is the heuristic of simplicity and the algorithm of truthfulness in court, equality between [reality] and representation, where we think of events as reality and the evidence as formalism, but since information is physical, we are talking about a transformation linked by the Shannon-Nyquist encoding theorem. Think of it as a polynomial and a matrix with the same entropy.
Tuesday 24 February 2026
I am facing the same problem as QFT: Ie making the fields into
[page 326]
real particles by providing energy. The differences is that their fields are in a Minkowski space presumed to have been given (by the creator or the big bang?) whereas my foundations for particles are provided by genetic evolution via quantum mehanics in the primordial Hilbert space. I have been hoping since about 2020 that I am on a good thing but have to clarify it before I send it to Fundamentals of physics, my main product post publication of Cognitive Cosmogenesis.
Georgia Phillips book posted today with letter about my mother being so deluded by catholicism that she did not listen to a word of my explanation for my expulsion from the order and my opinion that it was a good thing in the fifty years that I tried to explain it to her before she died. Georgia Phillips (2026_02_23): desperate, intelligent, irreverent: In big kiss, bye-bye, Claire-Louise Bennett breaks up with illusions
To Jon Opie: “I came to you with a program in mind which might have run me off the rails a bit in the essays I submitted, but now, six years later, I think I have adequately demolished quantum field theory to the satisfaction of Kuhlmann and produced a logically consistent proof that the universe is omnipotent and eternal and divine and I am now struggling to write it down for the Foundations of Physics and attach a copy to be read in the light of my book.” Meinard Kuhlmann (Stanford encyclopedia of philosophy): Quantum field theory
The “information is physical” mantra works from the beginning in the initial symmetry and continues through the universe with the fact that every Hilbert basis state is a quantum of action formally (at base) identical to the initial singularity, an atom of angular momentum, part of a wave (ie a wave is a sequence of quanta of action, or perhaps ‘half’’ spin ½ quanta) [this is a continuation of my idea in the park near Ovingham station [see notes26m01d18 page 248].
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when the Brouwer fixed point theorem picks a point in the structureless initial singularity it in fact picks the whole singularity and when it makes a number of discrete picks these are a time sequence of “throws of the die” which are primarily distinguished by the ‘time’ of their pick and so the initial orthogonality in the universe is distinguished by discrete ticks of time and here we face the beginning of history and in some way since all the discrete ticks exist in the same eternity as one another they are in effect superposed into [a Hilbert basis of] ‘waves’ the beginning of the wave nature of reality discerned by de Broglie.
TSMC: Mr chang: ‘meticulous, stubborn, trusting his best people and crucially having boundless ambition and making daring moves when justified. Paul Mozue & John Liu (2023_08_04): The chip titan whose life’s work is at the center of a tech cold war
Wednesday 25 February 2026
People desperate to be heard are inclined to perform extreme acts which are often likely to get them killed by people that do not want to listen. I have taken a very soft and conservative approach by publishing a book, Cognitive Cosmology. This book contrasts two theories of everything: The Judaeo-Christian heritage embodied in the Roman Catholic Church which no longer murders dissidents like myself, and the modern alternative, the standard model which is a theory
[page 328]
of the fundamental forces gravitation, electromagnetism, the weak force and the strong force which are believed to have governed the evolution of the structure of the universe that began about 14 billion years ago, possibly with a cosmic explosion known as the big bang [weak and strong are named for the Newtonian type force that these “fields” are understood to exert in Minkowski space].
From my point of view, expressed in my book, both these theories are unsatisfactory and I propose an alternative which is summarized in the back of the book as a set of principles.
the defect in the Judaeo-Christian story is that it is mythology that in no way meets the demands of evidence based society. It is widespread not because of its human appeal but because it has allied itself with powerful imperial military forces, beginning with the Roman Empire in the time of Constantine and continuing to the present day in the global hegemony of first [the Holy Roman empire and then] the British empire and most recently with the United States which controls the most powerful military force on the planet and uses it relentlessly to impose its ideology on the world. Like the Catholic church, an essential component of its foreign policy is to present itself as a necessary public good in the management of the world. Fortunately we are currently being enlightened by the fact that the management of the US has become blatantly imperialist, theocratic and autocratic, severely tarnishing the appeal of the historic benefits of the kudos it won by settling the European wars of the twentieth century. That settlement is beginning to fail and we are facing a new era of imperialistic hegemony. Holy Roman Empire - Wikipedia
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The fundamental defect with the Standard Model lies in its military heritage which culminated in the development of the nuclear weapons that settled the imperial designs of the axis powers that evolved in the twentieth century and which har maintained a precarious peace since the end of the second world was [although the number of nations with nuclear weapons has increased to nine of which one, Israel, has not admitted possession.
There can be no doubt that the disciplines of engineering and physics have brought enormous benefits to who have access to them. Much Of this advantage arises From the close scientific examination of our environment which took its greatest step forward when Charles Darwin revealed that the enormous complexity of all living bodies, including ours were formed by about four billion years of the origin and evolution if earth set in the local solar system which emerged in the first ten billion years of cosmic evolution. This discovery has opened the way for a more comprehensive understanding of our origins, although it is rejected by the theological powers opposed to science.
Physics and engineering, being practical sciences have to take the world as we find it and are particularly concerned with observable material entities, an approach often called materialism and opposed to the spiritual aspirations of theologies, this history has opened what I call a ‘Gnostic Gap’ between matter and spirit which currently serves as an impediment to the more comprehensive union of physics and theology that I propose. And so on.
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The job now is to boil my book down to an article for Frontiers in Physics which truly captures the forgoing story in a comprehensive theory of everything built on the Aquinas–Einstein singularity / symmetrywhich says all the above, but now the immediate task is to see what the markets are doing and winkle a few $$ out of the system.
TOE_2026_02_22 abstract 339 words: [insert]
It is proposed that we relocate the Hilbert space describing the universe from Minkowski space to a structureless, eternal and omnipotent initial singularity based on the work of the theologian Thomas Aquinas and the physicist Albert Einstein, the Aquinas–Einstein symmetry.Then, working on the assumption that the von Neumann axiomatization of quantum mechanics provides us with a basis for computation at least as powerful as the turing machine, we describe, by analogy with Darwin’s theory of evolution, processes which may describe the differentiation of the observed universe within the singularity.
This scheme draws heavily on ideas from traditional logic, theology and quantum field theory.
Mathematical continuity is replaced by the more powerful notion of logical continuity, implemented formally by mathematical proof and practically by digital computing processes.
Starting from the assumption that nothing comes from nothing, the symmetry must be eternal existing prior to time and energy. The creation of entropy is modelled on the theory developed in the fifth century by the theologian Augustine of Hippo. He proposed that the creation of the trinity within the ancient unitary divinity was a consequence of the divinity reflecting upon itself. The modern version of this idea is embodied in brouwer’s fixed point theory and suggests a source for Hilbert space in the singularity.
Since this singularity is the source of the universe, it is assumed to be omnipotent. The medieval theologian Thomas Aquinas describes an omnipotent entity is one that can achieve anything that is not self contradictory. This suggests that from a formal point of view the structure within the singularity may be modelled by the consistent mathematics implicit in Hilbert’s doctrine of formalism.
GIven Landauer’s contention that information is physical, it is assumed that all mathematical entities must have physical representation. This implies that the singularity is a real physical object and serves as a model for the quantum of action which appears in Minkowski space as the unit of angular momentum. As von Neunmann notes, quantum mechanics falsifies the ancient belief that natura non facit saltum. [339 words]
What next? Listen to Behiel?
The fundamental assumption of QFT and the standard model appears to be that we are given an initial singularity with a large quantity of energy whose explosion leaves us with Minkowski space and a set of fields corresponding to the known set of fundamental particles whose interactions we have succeeded quite well in explaining, beginning with elecromagnetism and proceeding to the electro-weak force and the strong force.
This situation forms the background for the prize being offered by the Clay Institute for a comprehensive description of quantum Yang-Mills theory. One might be led to suspect by the comprehensive linearity of quantum mechanics that diverging into non-linear Yang-Mills theory may in fact be [leaving] the true quantum mechanical faith. The first sign of this heresy was the decision to write quantum mechanics on Minkowski space where it is subject to non-linear Lorentz transformations, as Veltman notes. Carlson, Jaffe & Wiles (2006): The Millennium Prize Problems, Martinus Veltman (1994): Diagrammatica: The Path to the Feynman Rules, page 20.
So let us explore the path to true quantum mechanic and deal with the difficulties this may cause in mapping theory to data. This non-linear rot has already infected electrodynamics.
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Then inertial symmetry, Newton’s first law.
Behiel: EM as a gauge theory again. Dirac equation is square root of Klein Gordon equation. What can that possibly mean? Richard Behiel: Electromagnetism as a gauge theory
Inertial symmetry: Notes26m01d04. “in quantum field theory ψ itself becomes fuzzy” [??].
Dirac equation ψ is a 4 component complex vector, ie bispinor. Why? What does this mean? [degrees of freedom?] “spin structure gives first order in space and time while unifying QM and spin structure necessary to give the degrees of freedom to give relativistic physics while only using first derivatives of space and time”. Nothing about fermions and bosons here, simply mathematics.
"γ matrices provide agreement between QM and the [Minkowski] mass shell. Speed of light correlates space and time in spacetime”.
Particle in free space with 0 momentum. What does this mean? Position anywhere, you say. Pixellation of space. Maybe what I have taken on is too hard for me, but I’ve got years!
exp (imc2t) / ℏ) where i m c2t is energy. Time = action/action, = e−i. Every action is one quantum of action and rate of action E = hf (energy). Given that action is a real substance like the initial singularity, energy gives life to a particle – the stuff of my essay. Normalization controls the amplitude of a wave, all equal, carriers of energy, eg photons [bare energy + phase, the information carrier].
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Only difference between e+ and e− is direction of rotation in complex plane. Dirac equation gives two ways to represent a particle with zero momentum, ψ clockwise and ψ anticlockwise. How does this relate to random time without direction? Why does Dirac equation branch? Artificial 4D linear Minkowski. Spin up and spin down do not exist in QM because no direction [but p and not-p].
The hidden behaviour of 2D complex numbers is an invisible spirtual process? Zero momentum eigenstate is not in space. What we have to explain in commentary cl4l06_fermion is how a fermion becomes real with the properties it has and to talk about this we need to talk about energy. Photon has two degrees of freedom, frequency and polarization, similar to electron up and down.
So Behiel assumes the existence of space and time, whereas we are going to create it in 4D. My paper for Frontiers only needs to go as far as producing bosons and fermions in space on top of the initial symmetry [to give Minkowski space] which is the scene of the quadratic Lorentz transformation [and the mass shell].
Fermions are the ‘proteins’ of the world defined by quantum genes, ie vectors [genetic sentences / sequences].
Fontiers essay: The simplicity of QM and symmetry W.R.T. Complexity, linearity, superposition and hermitian self adjoint operators.
Thursday 26 February 2026
Visit Rosie and lunch with M & R. Home 2.30.
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Zsuzsanna Dancso. Time is a one directional dimension [zero entropy?]. Zsuzsanna Dancso (2026_02_26): Why you can’t tie knots in four dimensions
Behiel 2:40: on spinors and direction in 3D space controlled by phases on each direction ie direction = ∫ phase Δ between components. Phase Δ between components of spinor has 3D visual interpretation. How does this work? It is something to do with the orientation of the spin-up/spin-down axis of the electron and we are working in the linear Minkowski space of the Dirac equstion. We have to couple this to Lorentz. All this works because SU(2) double covers 3D space and the motion of the spinor is a function of the passage of time measured in the rate of rotation of the vector in 3D space. Spinors are always normalized [2 complex components].
Spin structure is an inevitable consequence of writing an equation which is both first order and relativistic. Quote [video] Dirac 2:27; ‘forced into equation which brought in electron spin without any special pleading, ie the simplest particle does have spin’.
2:36: The positron solution. Everything encoded in the complex phase difference beteeen the components of the spinor.
Multiplying by a complex factor in 3D all we are doing is rotating the flag [not changing the direction of the pole].
1. SU(2) double cover of 3D means 2π phase change will rotate flag twice, 4π.
2. Difference in time evolution between matter and anti-matter. Complex phase factor is going around the other way in time
2:33: ‘local phase symmetry’.
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Ie the Dirac equation has local phase symmetry any arbitrary phase transformation leaves all observable quantities unchanged, ie all the changes in all the phases of a basis of a Hilbert space leaves us with exactly the same set of eigenvectors and eigenvalues, Dirac (and everybody elses’s) transformation theory. ei θ is an element of U(1). Paul Dirac (1983): The Principles of Quantum Mechanics (4th ed).
So local phase transformation ψ’ = ψei θ. θ is a real angle in complex plane and θ can change in space and time , ie change in spacetime, which is not meaningful in pure quantum mechanics – local phase transformations do not change the direction of the flagpole.
2.27 Local phase transformation changes a particle at rest to a particle in motion]. Phase gradients in space measure momentum. Phase gradents in time measure energy, ie rate of action. So phase gradient in space and time maps to momentum and energy in spactime. So we are coupling linear differentials in phase to linear changes in spacetime 4gradient of θ matches 4 momentum of particle, coupling QM to Minkowski. So we sare saying Dirac does not have local phase symmetry on its own.
Phase gradients influence particles and antiparticles in equal and opposite ways.
2:20: Dirac field does not have local phase symmetry. Leaving all observables unchanged brings us to study the Lagrangian and least [stationary] action. If we can write a Lagrangian this shows how to manage minimization.
Behiel 2;20: S = ∫ ℒ d4x = Lagrangian density. It does not change observables. Dirac Lagrangian ℒ = 𝜓bar (i ℏc γμ∂μ − mc2)ψ.
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𝜓bar = [ψ1*, ψ2*, − ψ3* − ψ4*]
Transform ei θ by replacing ψ with ψ’ = ψei θ. ψ can be a general solution to the Dirac equation. Complex conjugate of eiθ is e−i θ.
Now we are getting into calculus and product rule. Is this valid? We consider ψ as a continuous variable. Is it?
So a bit of mathematics and we arrive at original ei θ − [. . .] ∂μθ. The new thing is ∂μθ, ie transformed ℒ is now the same as original. + Δℒ
2:11:30: what is the problem? Dirac field does not have local phase symetry on its own. So cancel Δℒ.
2:2:08: Set θ = 0 then Δℒ goes away.
some calculation and we are getting hints of EM 4 potential.
so a mystery 4 vector [A?] couples to electron 4-current to yield energy. Does A have independent existence, ie mass? ℒ mass ≈ AμAμ. So since A cannot have mass, we solve the A problem with ∂μAν − ∂νAμ not affected by θ.
2:17:2 saves the day. A escapes the tyrranny of the phase change and we get to the six ways: 2:19:20.
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Friday 27 February 2026
Behiel 2:19:20. aμ is a 4 vector. aμ’s degrees of freedom are independent of ψ. 3 ways to take time and space, 3 ways to take space and space in the relationship ∂μaν − ∂νaμ. All this arises from the fact that fermions need 3D to avoid one another due to exclusion leading us to believe that exclusion is the cause of 3D rather than 3D the cause of exclusion and we are inclined to guess that it has something to to with SU(2) which related to 3D, but we have already put 3D into Dirac eqution so we need the root casuse of 3D which Feynman attribute to spin ½ inverting the wave function when fermions are swapped leading to probability 0 that they can superpose, but ?
Feynman 1964: The character of physdical law, Messenger lectures. Richard Feynman (1964): The Relation of Physics and Mathematics
Feynman disagram is weighted sum of all possible histories. Feynman diagrams sum by superposition.
Behiel: exyz scalars add up to 3D electric field.
Electric field is a consequence of Dirac field in 3D having local phase symmetry, ie EM field is part of the Dirac field.
Magnetism is a pseudovector because its mirror image has a minus sign. Angular momentum is a pseudovector, an oriented plane. [quanum of action has dimensions of angular momentum in Minkowski space so has direction?]
Magnetism is curl of EM fields.
Behiel 2:24:33: Its all pure math? No, the math is desctibing reality, which is the 3D effect of photons. Faraday tensor: ∂μaν − ∂νaμ.[page 337]
A has six degrees of freedom without disturbing the local Dirac field.
Behiel is not separating EM from Dirac equation but we talk about electrons rather than photons, ie photons are necessary to make electrons consistent with QM outside [= ‘prior to’]space and time.
2:27 deriving Maxwell’s equations from assumptions about local phase symmetry, ie local Lagrangian in Minkowski space, but we really want to do it the other way around, coming from quantum mechanics to Minkowski spacetime and eletromagnetism.
2:29: Div curl = 0,∇.(∇ x B). Time component of Aμ is voltage. Faraday’s law of induction ∇ x E = 1/c ∂B/∂t.
Homogeneous Maxwell’s equations; → 2:39: Inhomogeneous. Faraday tensor. Then use Faraday to write Lagrangian for QED. 4D spcetime is fundamental constraint. Fμν 6 degrees of freedon. Fμν electric components
2:48 FμνFμν 16 terms downstairs and upstairs = 2(B2 − E2) which is the same for all inertial observers, ie Lorentz invariant, which is a consequence of the absence of space and time in quantum mechanics. Gravity puts energy into QM and effectively creating Minkowski metric.
2: 52: 1/8π E2 is energy density of electric field.
Photon’s kinetic conribution to the Lagrangian of QED.
2:53 Fine structure constant.
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Lagrangian of QED, 3 pieces. (see also page 223 Sat 3/1, not transcribed, watch the video 1:53 ++)
Electron kinetic + mass energy – interaction with photon field – kinetic energy of photon field. Faraday encompasses all degrees of freedom of Aμ. Maxwell’s equations are linear.
Lagrangian is Dirac equation with local U(1) symmetry upgrade and we use it to calculate inhomogeneous Maxwell’s equations. We are going around in curcles a bit here but ultimately will break through the quantum mechanical reconstruction of Minkowski space via fermions and bosons problem. Behiel 2:59.
2:01 Photon field Aμ coupled to electron field ψ + minimizing action S = ∫ ℒ d4x in 4D Minkowski space. Photon field relaxes around ψ ie ∂S = 0. Given ψ what must be true of Aμ to get ∂S = 0? Ie what must be true about A?
2:04: Looking for stationarity: Nudge photon fields in 1: Value; and 2: Derivatives in kinetic contrbution to Lagrangian. We note that all this happens automatically and causally when we are constructing Minkowsdki from QED, but going the other way from Minkowski to Dirac etc becomes quite complicated, ie it gets a bit like QFT when we put it in Minkowski space rather than the initial singularity. This story is the insight I am seeking to convey in the Foundations paper [a spinoff from cl4l_commentary]. There are a lot of new things in Minkowski space compared to the basic naked quantum field theory. All this is the numerical consequence of certain [particle] structures.
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So we have to vary the Lagrangian with respect to A and with respect to the kinetic variations in A, its derivatives: 2 terms for nudges in A, 16 in nudges for variations in A
2:10: Euler Lagrange. Note in our model this whole Lagrangian is created by the energization of the electron and its interaction with the photons (bosons) so it is automatically zero and stable because potential ≡ kinetic.
2:30: ∂μFμν − 4π/c Jν is both Maxwell’s inhomgeneous equations, Gausses law for elecricity and Ampere’s law with Maxwell’s addition. It implies that charge is locally conserved ∇.E = 4πρ = Gauss for electricity.
2:51 Maxwell’s equation comes from
2:58: Local charge conservation ∂ρ/∂t + ∇.J = 0. All these numbers are properties of physical realities. Which we are helped to understand by the mantra that all informastion is physical.
ie ∂νjν = 0 is Lorentz invariant: Covariant four gradient and contravariant current, ie ∂ν∂μFμν = 0.
we started with ψ and varied a resulting in local conservaation of charge.
Lorentz force law see Wikipedia: Relativistic Lagrangian Mechanics.
2:57: Lorentz force law: dpμ/dτ = q/c Fμν uν relativistic.
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covariant derivative.
3:06:20: The mystery of the fine struture constant.
consider the ratio of the electromagnetic interaction energy to the energy of the photon: Energy to bring electron from ∞ to d / energy of photon wavelength λ = 2π d
α = q2/hc. Given q, h and c, ie about 1/137. Why?
Electroweak unification: The Higgs has cut down three degrees of freedon not just shearing off U(1)γ but rather leaving behind a little slice U(1)em which is a mix of SU(2)l and U(1)γ .
and a question: “when we insist that the Dirac field has local phase symmetry are we making adding something new to our model of nature, or taking smething away”.
It is simply implicit in Dirac’s transformation theory of pure quantum mechanics which postulates a definite linear connection between the bases of a Hilbert space and the output of hermitian operstors on that space (?).
In a scientific religion we do not rely on faith but on observation and research.
Saturday 28 February 2026
It has taken me a very long time to state the obvious and identify the Aquinas–Einstein singularity with the traditional god and both with the quantum of action whose essence is to exist and act, the once and future particle which multiplies itself by
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reflection like Augustine’s Trinity and by that random process introduces time (sequence) and energy (action/time) into the world: e = ℏω = h/t.
Spin ≡ quantum of action is the appearance of divinity in the world and the fundamental starting point for a quantum explanation of the world. A quantum of action is a real event which we can represent with a sequence like this: “they fell in love”. It is normalized and its information content is measured by the cardinal of the Hilbert space in which it exists.
Writing is a log of thinking.
Maybe 4D spinor is not a particle and an antiparticle but a positive energy fermion and a negative energy boson, so repecting the gravitational bifurcation and maintain the Lagrangian of QM (which has zero energy per se and Minkowski space which also has zero energy so T − V = 0 and stationarity is guaranteed. A reinterpretation of Behiel and a deletion of QFT,
Is this a brilliant idea which has been lurking in my mind since 2018 ish?
This way sorts out the surfeit of antipartcles which bugs QFT by showing thst the physics rather than the mathematics rules when we come down to the wire and the particle-antiparticle aymmetry may be just a dream and there is some other source of antiparticles, right hand neurinos etc.