Natural Theology

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Notes DB 93 Theological Genocide - 2025

Sunday 21 December 2025 - Saturday 27 December 2025

[page 195]

Sunday 21 December 2025

What is my position and how can I justify it? See Saturday 20 December. Theology (Christianity) has built an enormous structure of Dogma on interpretations of the Bible from the creation to the last days, very little of which is credible beyond Love God, love your neighbour. The central idea, that the crucifixion of Jesus has cosmic significance, is not credible, although subject to a claim of infallibility.

Physics is in a similar boat with continuity, renormalization and infinity, building a complex story out of the simple foundation of quantum theory by de Broglie and von Neumann.

To replace these field theoretical ideas I need to

[page 196]

understand them in the first place, although they do not make sense to me. Their fundamental claim to fame is their precision of mathematical computation, which appears to depend heavily on Feynman’s path integral and the diagrammatic application of the path integral which seems to have strayed a long way from the quantum of action into very complex mathematics. My principal difficulty, I feel, is that if we see the universal process as quantum logic, what has energy, which is really [just] the rate of processing, got to do with it?

Dirac, commenting on field theory in the last published paper of his life, writes:

The rules of renormalization give surprisingly, excessively good agreement with experiments. Most physicists say that these working rules are, therefore correct. I feel that that is not an adequate reason. Just because the results happen to be in agreement with observation does not prove that the theory is correct.
Louis de Broglie (1929): Nobel Lecture: The Wave Nature of the Electron, John von Neumann (2018): Mathematical Foundations of Quantum Mechanics, Peter Goddard et al. (1998): Paul Dirac, The Man and His Work

So what is my set of principles?

1. Every event at the fundamental level involves one quantum of action that the quantum theory explains as an ‘act’ by a self-adjoint or hermitian operator [which identifies an eigenvector with a real eigenvalue]. Self-adjoint operator - Wikipedia

2. In the real [Minkowski] world, an observation of a particle or event is the sum of a large number of operations involving different operators of different probabilities (frequencies) which we compute by the Born rule, whose application is guided by Feynman diagrams. [The output of the Born rule is a complex measure of the “distance” between two states which must be squared to get a real probability of the connection of the two states]. Feynman diagram - Wikipedia, Born rule - Wikipedia

3. Renormalization is unnecessary because continuity, differentiation and integration have nothing to do with pure quantum mechanics in the initial singularity. All the interactions are discrete and their integrated effect is a function of their probabilities associated with the relevant legs of the Feynman diagrams. Martinus Veltman (1994): Diagrammatica: The Path to the Feynman Rules

[page 197]

4. The finer points of quantum mechanics such as the Lamb shift which involve virtual particles off the mass shell, which is a concept closely related to the idea that Minkowski space constrains quantum space, where as in my simple model Minkowski space is a consequence of the creation of fermions and bosons [selected by quantum mechanics from the random Hilbert space formed in the initial singularity]. [These particles we see as created in pairs by 1 quantum of action stationary at zero as measured by a Lagrangian which incorporates them both. [This stationary Lagrangian is a product of the zero sum bifurcation of gravitation to create the kinetic and potential energy necessary to realize physical particles].

These four points express my theory of principle which basically says quantum logic is a theory of hermitian operators which represents the zero-sum superposition of quantum vectors. This discussion could become the prolegomenon to l4l_e02_Justice which lies at the heart of quantum mechanics and is carried to us by symmetry with respect to complexity.

My task, having trashed theology and physics in Cognitive Cosmogenesis, is to rebuild them in Lust-for-Life. Jeffrey Nicholls (2025): Cognitive Cosmogenesis: A systematic integration of physics and theology

The Intellectuals Fueling the MAGA Movement: A review of FURIOUS MINDS: The Making of the MAGA New Right, by Laura K. Field Jennifer Szalai (2025_12_17): The Intellectuals Fueling the MAGA Movement: A review of FURIOUS MINDS: The Making of the MAGA New Right, by Laura K. Field

Write to NYT suggesting a review of my book. Snooze and then work on cl4l05_particles with a view to condensing fermions snd bosons into one page since they may be created simultaneously by another zero sum bifurcation in 2D Hilbert space. The main problem being how to account for particle masses.

[page 198]

Introduce my book on Patreon.

We are changing the universe from a structureless gravitational continuum to a giant computation of discrete actions each represented as a vector (= text, song, book, plan) in abstract Hilbert space capable of superposition like photons, but unlike fermions which may communicate by sharing photons. Two fermions maintain their independence by sharing a photon which accounts for the phase difference between them.

Monday 22 December 2025

Post books to Anita Pusari, Ros Sare and Sabrina Carpenter. [Carpenter’s came back, sent to agent address].

The infinities that appear in QED are infinities of energy which imply infinite rates of action in the quantum regime. All these problems seem to arise from the introduction of Minkowski space into particle physics which as I say so often is putting the cart before the horse. [The high energy comes from high momentum which comes from [mis]applying the “uncertainty principle” in Minkowski space where Δp . Δx ≈ ℏ where p goes infinite when x goes zero.]

Tomonaga reports months long computations in the process of trying to sort out the infinities in electromagnetism which totally contradicts the heuristic of simplicity which I love.

Tomonaga writes:

However the mass and charge observed in experiments are not the original mass and charge, but the mass and charge as modified by field reactions, and they are finite. When a theory is

[page 199]

incompetent in part it is common procedure to rely on experiment for that part. This procedures called renormalization of mass and charge, and our method has brought the possibility that the theory will lead to finite results by renormalization even if it contains defects. Sin-Itiro Tomonaga (1965): Nobel Lecture: Development of Quantum Electrodynamics: Personal recollections

[We have solved the field reaction problem by deleting the fields and leaving it to quantum mechanics to create the genes of the world in the form of complex vectors, identical formally to DNA/RNA molecule.]

Tuesday 23 December 2025

Books to Nicole Duncan, Jenny Causer, Clay Mathematics

Email ‘Fair Warning’ to Clay Mathematics Institute: president@claymath.org

Dear M President, I am neither a mathematician nor a physicist but an amateur theologian trained in the Dominican Order in the 1960s and subsequently expelled by the Provincial of the Australian Province of the Order for heresy.

I have purchased and studied Carlson 2006 The Millennium Prize Problems and am quite familiar with its contents, including the competition rules.

I have no intention of entering a submission for one your million dollar prizes. My intervention here is pro bono.

I have recently published a book, Cognitive Cosmogenesis: a Systematic Integration of Physics and Theology (Nicholls 2025, ISBN 978 103 588 8030) which documents the above mentioned heresy in detail: that is to make theology a real science we must postulate that the universe is divine.

In the course of this book I comment on QFT and suggest that is has been mistaken from the beginning since it builds Hilbert space and quantum mechanics in Minkowski space (Streater & Wightman 2000, p 96). This makes Hilbert space subject to Lorentz transformation, destroying its linearity (Veltman Diagrammatica 1994 page 20). This decision renders quantum field theory problematic and superfluous since the assumption of real mathematical infinity in nature and the consequent need for renormalization are counterfactual.

The alternative proposed is to situate Hilbert space in an initial singularity which I model on the works of the medieval theologian Thomas Aquinas (1225-1274) and Albert Einstein. This enables the deployment of the full uncompromised computational power of linear quantum mechanics for a description of the universe (see eg Nielsen and Chuang 2016). From such a software point of view the methodology of QCD seems needlessly complicated.

In sum, all the details of the statement of the Quantum Yang Mills Theory Problem may be mistaken and any valid solution to the problem must remove the assumptions of continuity and determinism in nature which stymied Einstein and accept that quantum mechanics is primarily a discrete logical unitary discipline closely related to Shannon’s mathematical theory of communication.

I append a brief summary of the central idea of my book designed to save reviewers from reading the whole book.

Visit Andrew's grave. [Subsequent conversation with his twin brother suggests that we should in no way modify the inscription on his Andrew’s grave which records the presence of his partner and his partner’s brother both of whom died of AIDS. Andrew paid for the gravesite in Adelaide Cemeteries, Enfield Memorial Park, Browning St, Clearview, SA, 5065, Email: enquiry@aca.sa.gov.au

Area name: Anglican, Location Code EMP-AN-AM-OO$, Area S1 Row AM, Site Number 4]

The natural world is just one endless miracle. The Bible is not big enough to enc0de the genome of a termite, let alone the genome of the whole quantum world.

cl4l05_particles complete [no: @ 28/12: include section on inertial symmetry and Lorentz transformation wrecking quantum linearity in Minkowski space.]

Wednesday 24 December 2025

10 am Berry view Auntie Marjorie for last time. Withdraw $800 from ANZ for electricity.

What is the point of cl4l06_fermions? Obviously we start with the Dirac equation and exploit its peculiar origin in the Schrödinger equation and examine what it would look like in pure quantum mechanics without Minkowski space. Dirac equation in the algebra of physical space - Wikipedia

[page 200]

Quantum mechanics animates the world which is made real by the energy of the human mind, Zootopia 2. [Interesting the animation is artificial but the sound is realish, modified real voices]. Zootopia 2 - Wikipedia

Macarthur Foundation work to be considered [emailed Sunday 28/12] MacArthur Foundation

Thursday 25 December 2025

Gravitation is the local source of energy at all scales from the absorption and emission of photons to supernovas and black holes and it maintains the precision of zerosum bifurcation at every point.

The living physical observable reality of the universe is the Bible in the divine universe, the actual voice of god that we experience at every moment of our lived from extreme pain and death to love and the exquisite pleasures associated with reproduction and the maintenance of our species.

Where am I stuck? On the qubit ψ = α|fermion⟩ + β|boson⟩, given that all these symbols are formed in pairs like a baby and a language.

Are the hadrons their own little closed spaces? What has triplicity got to do with it. Have I hit a wall??

[page 202]

Quantum mechanics can do it with superposition. Is a Hadron a closed superposition? A set of vectors that add up to 1, 0? ie a mini universe, proton ≡ eternity ≡ zero energy?

Friday 26 December 2025
Lust-for-life, matching my passions to the passions of the Universe.

Achieving tranquillity by superposition, in some way the cosmic essence of quantum mechanics. The universal peace of finding the complimentary dual which comes most symbolically and most clearly through music and orgasm, bolero and the big bang, tribadism and tranquility. So there is a direct line from my childhood masturbation via the Catholic Church, forbidden fruit, the route to heaven by supererogation, the Dominican Order, Thomas Aquinas and Cognitive Cosmogenesis, a systematic integration of physics and theology, divine lust, from gravitation through potential and kinesis to tranquillity, ultimately the salvation of love from the Trumpian bastardization of pornography, another theological vice like genocide in the cause of divine tranquility, the irresistible attractions of the big bang and thermonuclear warfare all encapsulated in the clitoral drive to reproduce, a long saga encapsulated by Dirac in superposition and linear algebra, whence I am now trying to distil the true story of quantum chromodynamics and the eternal life of the proton achieved by the eternal stability of gravitation. So the big question: is a hadron a black hole, and why are these women wrestling so happily and vigorously, naked for orgasm and why

[page 202]

has an organization like the Roman Catholic Church gone to so much effort to block this channel by identifying death by torture with salvation, the ultimate imperial disease. There is something here to be captured in the sequel to my book, what have I learned that I can express – gravity – stability – Hamilton’s principle – why can energy be captured in a stable particle, ie what is the lesson of Dirac’s torturous path to the electron via gamma matrices, ie the elimination of the vestigia of quadracity?

A Christmas prayer, a baby born to a virgin to be tortured to death to save us. How kinky is the Catholic Church, the exploiter of the forbidden fruit. Have you ever wondered how totally fucked up Christianity, the child of Ancient Egypt, actually is? How the Catholic Church has turned the celebration of love and reproduction into pornography, disrespect and genocide? Cognitive cosmology is a first step toward digging ourselves out of this hole, a fitting prelude to the life of Rosalie Nicholls / Trenerry, recently deceased. Now, to fix my book eternally in the global consciousness, I have to chart the course from gravitation to the proton starting [perhaps] with Dirac, spacetime and the electron. I know that it is there: The Egyptian / Catholic history of salvation has totally aborted it by the story of Pharaohonic imperialism that began perhaps with metal edged weapons and the domestication of ungulates.

Now to summarize all this in a tweet illustrated by

[page 203]

my book. How twisted is the Catholic Church history of salvation? Did it originate in imperial Egypt. What is the real history of the story encapsulated in the monumental architecture of Egypt?

A first step is to overcome the shame built into me by my Catholic upbringing implying the sinfulness of sexuality, the forbidden fruit to be enjoyed only in pornography and the disrespect of women implicit in Donald Trump and [so many other men].

Try the tweet again: The Roman Catholic history of salvatin is a twisted mess. [Their] God created us doomed to failure by Satan and destroyed the new world in punishment. They sent their Son to be born on Christmas day to be tortured to death to save us. A completely stupid derivative of 5000 year old Egyptian imperialism [296 characters].

A morning of explosive pleasure, blowing myself out of the hole created for me by the Nicene creed and all the doctrinal rubbish that the imperial Roman Catholic Church has built on it. Read all about my discovery in Cognitive Cosmogenesis. Now cleared to go ahead with cl4l06_fermions. Now I have begun to capture this new insight in words, I can relax and slowly write it all out along the path Maxwell, Einstein, Minkowski, Planck, Schrödinger, Dirac, QED, which was totally messed up by the followers of Einstein who built quantum mechanics in Minkowski space where it both explains and is screwed up by Minkowski space which destroys the linearity of QM only saved by Dirac’s ad hocery

[page 204]

As you should all know by now, Dirac saved quantum mechanics by coming in through the back door through Schrödinger’s equatinb but you did not listen and went ahead to create the fiction known as QFT by writing Hilbert space in Minkowski space and destroying the linearity of Dirac with the Lorentz transformation. So we fix that error, build quantum mechanics in the initial singularity where it can let loose its full power by creating stationary Lagrangians by superposing a countably infinite vocabulary of base states.

Genocide, pornography and misogyny and are all theological creations by an entitled priesthood who feel that they have god on their side, a concept that may have originated in many places and times, including Egypt in 3000 bce and the US when it developed nuclear weapons and passed on the idea to their friends and enemies. We can probably trace the origin of this imperialism down to the origin of high tech weapons which enable a few people to control many by murder and enslavement.

Behiel: EM as a gauge theory. We are looking at ‘charged’ particles in Minkowski space and trying to see what makes them work. Richard Behiel: Electromagnetism as a Gauge Theory

For the rest of this page and on pages 205 to the first part of page 208 I have written a long commentary on the first part of this video which is no longer relevant to me since I have ejected quantum field theory so I pass over it and continue with the quantum mechanical description of inertial symmetry arising from the fact that quantum mechanics is completely independent of Minkowski spacetime.

[page 205]

Video; 00:06:30 Why is electromagnetism a thing?

00:07:05: Q. Gauge theory [phase theory] provides a pretty good answer. A. Because the Dirac Field has local U(1) symetry. This explains
Why matter and antimatter have opposite charge
Why the photon is massless wiith a 4D wave function
Why electric field is a 3D vector
Why magnetic field is a 3D pseudovector
Why EM fields interact
Derivative of Maxwell; Gauss + Faraday + Ampere + Maxwell’s addition
Lorentz force law and conservation of charge.

00:15:00 Defining characteristic of Diral equation is the union of QM and special relativity [??]

[page 206]

video 00:19:20 Solve Dirac equation for particle at rest gives us eletcron and positron spin up and spin down.

[page 207]

video 00:48:00 4 gradient of θ field changes 4-momentum of particle, time and energy. In other words, in our model energy is flowing in and out of gravitation while remaining zero-enegy since potential ≡ kinetic, ie to and from particles. But in electron we are thinking about kinetic energy and in “field” we are talking about potential energy (see pendulum, harmonic oscillator).

00:52:00 Dirac field per se does not have local phase symmetry because phase gradients appear to affect momentum and energy so we check with the Lagrangian which is a function of energy in Minkowski space.

[page 208]

Video 00:85:00: So taking U(1) symmetry as starting point we get 6 EM dimensions, photon field has 6 degrees of freedom which which do not disrupt local phase symmetry.

00:88:00 Use 6 ways to derive Maxwell’s equations.

What we are looking for in all this talk is a set of hermitian operstors in Hilbert space which yield electromagnetism in Minkowski space, in paticular Maxwell’s equations,

All we need to get for 3D space is the exclusion principle and this needs to be prior to the Dirac equation to give 4D from which we derive Minkowski = 3D electron [fermion] + 1D photon [boson].

[page 209]

Saturday 27 December 2025

Now we come to the crunch. Behiel assumes the existence of the Minkowski space, derives the Dirac equation within it by taking the square root of the Klein-Gordon equation, goes on to solve the Dirac equation for a stationary particle, assumes that this represents a Dirac equation throughout space time and assumes that the equation represents particles with wave functions differing in space and time, applies a Lagrangian to see if the picture is real, sees that it not so goes on to derive the electric and magnetic fields, attributed to a massless photon to get the Lagrangian right so proving that a photon is necessary and goes on to derive the Maxwell’s equations in Minkowski space. [This is a very standard story].

Here we think this story is all too complex for a fledgeling universe that at this point is an initial singularity, a randomly generated Hilbert space and a quantum superposition process that selects real eigenvalues. How do we account for the observed features of the universe, in fact replacing the whole Yang-Mills story with the Millennium Prize book with something entirely new and plausible. How do we start? I am coming up against the magnitude of that what I am trying to achieve.

[page 210]

We are deep underground here trying to generate an alternative to Yang-Mills and I feel a little desperate having wandered off into a new part of the jungle but the only thing to do is to keep an eye on the data which is in effect the end of the tunnel and try to arrive at a simple, linear, quantum mechanical superposition which comes up from below to explain the quadratic nature of Minkowski space which has a lot to do with the Pythagorean theorem which appears in the complex arithmetic of quantum mechanics as normalization and unitarity which we might see as a path to quantum mechanics but not via the Lorentz transformation and Minkowski space but via stationarity, zero sum bifurcation and the quantum world as the source of the quantum intelligence of quantum mechanics. The ideas are flowing and the discussion of Lorentz invariance in cl4l06_fermions [is helpful]. At the moment, with Rosalie dead, my book published and the problem of Yang-Mills on my mind I am goingg to get on the bus and go down to Glenelg beach for a restful walk.

The initial singularity removes the 4D quadratic problem from quantum mechanics and eliminates the need for Dirac, Klein-Gordon and Schrödinger equations and gives a way to create electrons from pure quantum superposition and then we find a way for electrons to communicate through photons, bringing us to the exclusion principle, 4D spacetime, Dirac equation, SU(2) etc all coming up from quantum mechanics rather than down from [classical] Minkowski space. Take the phone to the beach and write notes.

For the record, I copy the section of cl4l06_fermions on inertial symmetry and quantum mechanics before I rewrite it all:

6.3 Elementary physics: fields or particles?

We live and experience the world in Minkowski space, the 4D spacetime first discovered by Albert Einstein in 1905. He found this space by studying the propagation of light using Maxwell’s equations. It was provided with a clear mathematical definition by Herman Minkowski in 1908. Albert Einstein (1905): On the Electrodynamics of Moving Bodies, Maxwell's equations - Wikipedia

Einstein and Minkowski’s work partially explains the origin of the Lorentz transformations which connect observations between entities in inertial relative motion. Symmetries such as this arise in physics because natural “laws” (ie symmetries) are naturally enforced and so they are never broken, nothing unlawful ever happens, there is no cause and effect to be explained. Unfortunately Einstein basically rejected quantum mechanics so he was not in a position to see the real origin of inertial symmetry. Albert Einstein (1933): Herbert Spencer Lecture 1933: On the Method of Theoretical Physics

Einstein’s magnificent success with his mathematical theory of general relativity developed in continuous topological space using Gaussian coordinates and Riemann’s generalization of Gausse’s Theorema Egregium blinded the physics community to the fact that Minkowski space has a structure that is not continuous in the way we assume in Riemann’s calculus. It is pixellated by the elementary fermions that give it its metric structure as we see in the “uncertainty principle” ΔE.Δt ≈ Δx.Δp ≈ ℏ. Einstein's achievement in general relativity was to render the Minkowski metric meaningless as he emphasizes in the conclusion to his 1915 Paper:

The postulate of relativity in its most general formulation (which makes space-time coordinates into physically meaningless parameters) leads with compelling necessity to a very specific theory of gravitation that also explains the movement of the perihelion of Mercury.
Albert Einstein (1915): The Field Equations of Gravitation, Theorema Egregium - Wikpedia, Riemannian geometry - Wikipedia

This mistake has propagated to the creation of quantum field theory which has led to physicists writing Hilbert space and quantum mechanics on Minkowski space where its linearity is destroyed by the inappropriate application of the Lorentz transformation.

The need for the Lorentz transformation in Minkowski space arises specifically from the fact that there is no space and time in quantum mechanics which is the source of inertial space, so since quantum mechanics is the underlying source of all structure in the universe, every point in inertial space is identical from a quantum mechanical point of view and the role of the Lorentz transformation is to preserve this symmetry.

Dirac created his equation by undoing the distinct space and time structures implicit in the non-relativistic Schrödinger equation by taking the square root of the quadratic momentum operator in that equation using the gamma matrices to eliminate the resulting cross terms. The resulting equation honours the relativistic equivalence of space and time. This ad hoc fix reveals some remarkable natural symmetries of electrodynamics, but it is defective because it is based on a false premiss. So we must now recover the reality, abandon the quantum field theory based continuity and explain the quantum mechanical origin of Minkowski space and the slightly unexpected result that Maxwell’s equations are quantum mechanically realistic.

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Further reading

Books

Goddard (1998), Peter , and Stephen Hawking, Abraham Pais, Maurice Jacob, David Olive, and Michael Atiyah, Paul Dirac, The Man and His Work, Cambridge University Press 1998 Jacket: Paul Adrien Maurice Dirac was one of the founders of quantum theory and the aithor of many of its most important subsequent developments. He is numbered alongside Newton, Maxwell, Einstein and Rutherford as one of the greatest physicists of all time. This volume contains four lectures celebrating Dirac's life and work and the text of an address given by Stephen Hawking, which were given on 13 November 1995 on the occasion of the dedication of a plaque to him in Westminster Abbey. In the first lecture, Abraham Pais describes from personal knowledge Dirac's character and his approach to his work. In the second lecture, Maurice Jacob explains not only how and why Dirac was led to introduce the concept of antimatter, but also its central role in modern particle physics and cosmology. In the third lecture, David Olive gives an account of Dirac's work on magnetic monopoles and shows how it has had a profound influence in the development of fundamental physics down to the present day. In the fourth lecture, Sir Michael Atiyah explains the widespread significance of the Dirac equation in mathematics, its roots in algebra and its implications for geometry and topology.' 
Amazon
  back

Nicholls (2025), Jeffrey, Cognitive Cosmogenesis: A systematic integration of physics and theology, Austin Macauley Publishers 12025 ' This book is a personal narrative of those events and a defense of the belief that the universe itself is divine. The central argument is that by embracing this reality and abandoning notions of supernatural deities, humanity can resolve its problems. The universe, it is argued, is self-creating, and a proper understanding of physics leads to a plausible scientific theology. The natural intelligence inherent in the universe, from cellular organization to ecosystems, far surpasses any artificial intelligence. Comprehending this natural order, the author suggests, would make achieving world peace relatively straightforward. The book contends that modern theologians should recognize the physical world, rather than ancient texts, as the foundation for credible theology. It also addresses the historical entanglement of religion and politics, asserting that the model of creation presented herein fundamentally rejects the imperialistic ambitions that have fueled genocidal holy wars.'  
Amazon
  back

Veltman (1994), Martinus, Diagrammatica: The Path to the Feynman Rules, Cambridge University Press 1994 Jacket: 'This book provides an easily accessible introduction to quantum field theory via Feynman rules and calculations in particle physics. The aim is to make clear what the physical foundations of present-day field theory are, to clarify the physical content of Feynman rules, and to outline their domain of applicability. ... The book includes valuable appendices that review some essential mathematics, including complex spaces, matrices, the CBH equation, traces and dimensional regularization. . . .' 
Amazon
  back

von Neumann (2018), John, and Nicholas A. Wheeler (editor), Robert T Beyer (translator), Mathematical Foundations of Quantum Mechanics, Princeton University Press 2018 ' Quantum mechanics was still in its infancy in 1932 when the young John von Neumann, who would go on to become one of the greatest mathematicians of the twentieth century, published Mathematical Foundations of Quantum Mechanics--a revolutionary book that for the first time provided a rigorous mathematical framework for the new science. Robert Beyer's 1955 English translation, which von Neumann reviewed and approved, is cited more frequently today than ever before. But its many treasures and insights were too often obscured by the limitations of the way the text and equations were set on the page. In this new edition of this classic work, mathematical physicist Nicholas Wheeler has completely reset the book in TeX, making the text and equations far easier to read. He has also corrected a handful of typographic errors, revised some sentences for clarity and readability, provided an index for the first time, and added prefatory remarks drawn from the writings of Léon Van Hove and Freeman Dyson. The result brings new life to an essential work in theoretical physics and mathematics.' 
Amazon
  back

Links

Albert Einstein (1905), On the Electrodynamics of Moving Bodies, An english translation of the paper that founded Special relativity. 'Examples of this sort, [in the contemporary application of Maxwell's electrodynamics to moving bodies] together with the unsuccessful attempts to discover any motion of the earth relatively to the ``light medium,'' suggest that the phenomena of electrodynamics as well as of mechanics possess no properties corresponding to the idea of absolute rest. They suggest rather that, as has already been shown to the first order of small quantities, the same laws of electrodynamics and optics will be valid for all frames of reference for which the equations of mechanics hold good.' back

Albert Einstein (1915), The Field Equations of Gravitation, ' In two recently published papers I have shown how to obtain field equations of gravitation that comply with the postulate of general relativity, i.e., which in their general formulation are covariant under arbitrary substitutions of space-time variables. [. . .] With this, we have finally completed the general theory of relativity as a logical structure. The postulate of relativity in its most general formulation (which makes space-time coordinates into physically meaningless parameters) leads with compelling necessity to a very specific theory of gravitation that also explains the movement of the perihelion of Mercury. However, the postulate of general relativity cannot reveal to us anything new and different about the essence of the various processes in nature than what the special theory of relativity taught us already. The opinions I recently voiced here in this regard have been in error. Every physical theory that complies with the special theory of relativity can, by means of the absolute differential calculus, be integrated into the system of general relativity theory — without the latter providing any criteria about the admissibility of such physical theory' back

Albert Einstein (1933), Herbert Spencer Lecture 1933: On the Method of Theoretical Physics , ' It can scarcely be denied that the supreme goal of all theory is to make the irreducible basic elements as simple and as few as possible without having to surrender the adequate representation of a single datum of experience. back

Amber Wangin, Seong Hyeon Choiin, Yuanyue Dangin Beijing, ‘Golden Fleet’: will Trump’s battleship plan deter China or is it just a pipe dream?, ' US President Donald Trump’s new battleship plan, apparently aimed at deterring China, faces huge implementation hurdles and could cause Beijing to double down on its anti-ship weapons, according to analysts.
Trump unveiled a new class of navy battleships on Monday. These “Trump-class” ships will be larger, faster and “100 times more powerful” than any previously built, according to the American leader, forming the centrepiece of what he called an expanded “Golden Fleet” aimed at cementing US naval dominance.
In an announcement from his Mar-a-Lago estate, Trump declared that the new class of vessels would “inspire fear in America’s enemies all over the world”, though he did not name any specific countries. [. . .]
back

Born rule - Wikipedia, Born rule - Wikipedia, the free encyclopedia, ' The Born rule (also called the Born law, Born's rule, or Born's law) is a law of quantum mechanics which gives the probability that a measurement on a quantum system will yield a given result. It is named after its originator, the physicist Max Born. The Born rule is one of the key principles of the Copenhagen interpretation of quantum mechanics. There have been many attempts to derive the Born rule from the other assumptions of quantum mechanics, with inconclusive results. . . . The Born rule states that if an observable corresponding to a Hermitian operator A with discrete spectrum is measured in a system with normalized wave function (see bra-ket notation), then the measured result will be one of the eigenvalues λ of A, and the probability of measuring a given eigenvalue λi will equal <ψ|Pi|ψ> where Pi is the projection onto the eigenspace of A corresponding to λi'.' back

Dirac equation in the algebra of physical space - Wikipedia, Dirac equation in the algebra of physical space - Wikipedia, the free encyclopedia, 'The Dirac equation, as the relativistic equation that describes spin 1/2 particles in quantum mechanics can be written in terms of the Algebra of physical space (APS), which is a case of a Clifford algebra or geometric algebra that is based in the use of paravectors. . . . In general, the Dirac equation in the formalism of geometric algebra has the advantage of providing a direct geometric interpretation. ' back

Feynman diagram - Wikipedia, Feynman diagram - Wikipedia, the free encyclopedia, ' In theoretical physics, Feynman diagrams are pictorial representations of the mathematical expressions describing the behavior of subatomic particles. The scheme is named after its inventor, American physicist Richard Feynman, and was first introduced in 1948. The interaction of sub-atomic particles can be complex and difficult to understand intuitively. [. . .]
A Feynman diagram is a graphical representation of a perturbative contribution to the transition amplitude or correlation function of a quantum mechanical or statistical field theory. Within the canonical formulation of quantum field theory, a Feynman diagram represents a term in the Wick's expansion of the perturbative S-matrix. Alternatively, the path integral formulation of quantum field theory represents the transition amplitude as a weighted sum of all possible histories of the system from the initial to the final state, in terms of either particles or fields. The transition amplitude is then given as the matrix element of the S-matrix between the initial and final states of the quantum system. back

Jennifer Szalai (2025_12_17), The Intellectuals Fueling the MAGA Movement, ' Review of FURIOUS MINDS: The Making of the MAGA New Right, by Laura K. Field
Laura K. Field has been writing about the intellectuals of what she calls the MAGA New Right since 2019, and when she tells people about her beat, the responses are often incredulous: “Trumpy intellectuals? Now that’s an oxymoron!” or “Hahaha, I think you mean dumb fascists!”
But a year into a second Trump term, those “Trumpy intellectuals” are wielding palpable influence, even if it has been obscured by President Trump’s total lack of interest in the world of ideas. As Field explains in her fascinating and important new book, “Furious Minds,” what’s notable is how swiftly some esoteric theories have helped to radicalize the MAGA movement.
During the early 1960s, the historian Richard Hofstadter described anti-intellectualism as a phenomenon that was more pronounced on the far right. Field would mostly agree. In the United States, she says, conservative intellectuals were once largely an ameliorating force, acting as a “brake and restraint” on some of the right’s uglier impulses (bigotry, misogyny). Now, bizarre, “galaxy-brained” ideas that used to be the arcane obsessions of nerdy young men and buttoned-up tenured professors have become “an engine and accelerant for extremism.” Field borrows a vivid analogy from the Christianity scholar Matthew Taylor’s book “The Violent Take It by Force”: The fringe has become the rug.[. . .]
Field is an excellent and intellectually honest guide to these self-styled egghead brawlers. She takes them seriously, reading their texts closely, “trying my best to give their ideas a fair shake, and assuming a degree of good faith.” But her sympathetic approach cannot avoid showing how even the most diligent far-right intellectuals eventually succumb to apocalyptic despair, replacing the hard work of thinking and reflecting on the world — in all of its pluralism and plenitude — with a reflexive embrace of coercive political power. [. . .]
In a memorable passage, Field breaks the fourth wall and addresses the men whose cramped extremism has become so familiar to her. “You take the liberal world for granted, too,” she writes. “This has allowed you to don the language of grievance and oppression far too lightly, without having given enough thought to what oppression actually means — the kind of oppression that doesn’t let you love who you want to, or vote in free elections or not be disappeared.”
Field detects a strain of decadence underlying the fanaticism, with soft, comfortable men mistaking cruel titillation for insight and trying their mightiest to look tough: “It is unseemly, and it is unmanly, and some of you will miss your liberalism when it’s gone".' back

Louis de Broglie (1929), Nobel Lecture: The Wave Nature of the Electron, ' The necessity of assuming for light two contradictory theories-that of waves and that of corpuscles - and the inability to understand why, among the infinity of motions which an electron ought to be able to have in the atom according to classical concepts, only certain ones were possible: such were the enigmas confronting physicists at the time I resumed my studies of theoretical physics. Now a purely corpuscular theory does not contain any element permitting the definition of frequency. This also renders it necessary in the case of light to introduce simultaneously the corpuscle concept and the concept of periodicity. On the other hand the determination of the stable motions of the electrons in the atom involves whole numbers, and so far the only phenomena in which whole numbers were involved in physics were those of interference and of eigenvibrations. That suggested the idea to me that electrons themselves could not be represented as simple corpuscles either, but that a periodicity had also to be assigned to them too. . . . Thus to describe the properties of matter as well as those of light, waves and corpuscles have to be referred to at one and the same time. The electron can no longer be conceived as a single, small granule of electricity; it must be associated with a wave and this wave is no myth; its wavelength can be measured and its interferences predicted. It has thus been possible to predicta whole group of phenomena without their actually having been discovered. And it is on this concept of the duality of waves and corpuscles in Nature, expressed in a more or less abstract form, that the whole recent development of theoretical physics has been founded and that all future development of this science will apparently have to be founded.' back

MacArthur Foundation, Macarthur Foundation, 'We’re committed to building a more just, verdant, and peaceful world. back

Maxwell's equations - Wikipedia, Maxwell's equations - Wikipedia, the free encyclopedia, ' Maxwell's equations are a set of coupled partial differential equations that, together with the Lorentz force law, form the foundation of classical electromagnetism, classical optics, and electric circuits. The equations provide a mathematical model for electric, optical, and radio technologies, such as power generation, electric motors, wireless communication, lenses, radar etc. They describe how electric and magnetic fields are generated by charges, currents, and changes of the fields.' back

Niela Orr (2025_12_22), “Waiting to Exhale,” Thirty Years On, ' Forest Whitaker’s “Waiting to Exhale” is perhaps the quintessential “chick flick”—and an ideal case study for all that the cinematic subgenre can do. The “chick flick” often concerns heroines in the midst of personal transformation, and it’s capacious enough to enfold romantic comedies (“You’ve Got Mail”), tragedies (“The Notebook”), friendship fables (“Beaches”), and mother-daughter dramedies (“Terms of Endearment”). Its conventions are cosmic: the serendipitous, life-altering “meet-cute” is sometimes a literal collision, if not a metaphorical one, and chance encounters have a way of adding up. Well-placed songs provide relief; mood and weather mix, as in “Moonstruck.” “Exhale,” about four women friends who support one another through a series of interpersonal crises, fits in the matrilineal musing, the music, the camaraderie, the pathetic fallacy—when one character finally ends her sexual dry spell, rain falls in the desert. These movies show women exploring their options, taking steps to pursue goals and love connections. In Whitaker’s film, the protagonists are in different stages of nursing grief and developing new relationships. Because change is an act fraught with anxiety and confusion, the quartet spends the movie processing with one another, rhapsodizing, backsliding, and searching for moments to release—to let themselves breathe. back

Richard Behiel, Electromagnetism as a Gauge Theory, ' "Why is electromagnetism a thing?" That's the question. In this video, we explore the answer given by gauge theory. In a nutshell, electromagnetism arises from local phase symmetry. But what does that mean, and how exactly does that work? That's what this video is all about!
This video is quite long and technical. Think of it as a video textbook, so you can skip around to different parts if you’d like. But I wanted to err on the side of rigor and thoroughness, to show comprehensively how local U(1) symmetry blossoms into electromagnetism. So the ideas are all there for you, but you don’t have to watch this in one sitting! ' back

Riemannian geometry - Wikipedia, Riemannian geometry - Wikipedia, the free encyclopedia, ' Riemannian geometry is the branch of differential geometry that studies Riemannian manifolds, smooth manifolds with a Riemannian metric, i.e. with an inner product on the tangent space at each point that varies smoothly from point to point. This gives, in particular, local notions of angle, length of curves, surface area, and volume. From those some other global quantities can be derived by integrating local contributions. . . . It enabled Einstein's general relativity theory, made profound impact on group theory and representation theory, as well as analysis, and spurred the development of algebraic and differential topology.' back

Self-adjoint operator - Wikipedia, Self-adjoint operator - Wikipedia, the free encyclopedia, ' In mathematics, a self-adjoint operator on a complex vector space V with inner product ⟨ ⋅ , ⋅ ⟩ is a linear map A (from V to itself) that is its own adjoint. That is, ⟨ A x , y ⟩ = ⟨ x , A y ⟩ = for all x , y ∊ V. If V is finite-dimensional with a given orthonormal basis, this is equivalent to the condition that the matrix of A is a Hermitian matrix, i.e., equal to its conjugate transpose A∗. By the finite-dimensional spectral theorem, V has an orthonormal basis such that the matrix of A relative to this basis is a diagonal matrix with entries in the real numbers. . . . Self-adjoint operators are used in functional analysis and quantum mechanics. In quantum mechanics their importance lies in the Dirac–von Neumann formulation of quantum mechanics, in which physical observables such as position, momentum, angular momentum and spin are represented by self-adjoint operators on a Hilbert space.' back

Sin-Itiro Tomonaga (1965), Nobel Lecture: Development of Quantum Electrodynamics: Personal recollections, ' (1) In 1932, when I started my research career as an assistant to Nishina, Dirac published a paper in the Proceedings of the Royal Society, London1. In this paper, he discussed the formulation of relativistic quantum mechanics, especially that of electrons interacting with the electromagnetic field. At that time a comprehensive theory of this interaction had been formally completed by Heisenberg and Pauli, but Dirac was not satisfied with this theory and tried to construct a new theory from a different point of view. Heisenberg and Pauli regarded the (electromagnetic) field itself as a dynamical system amenable to the Hamiltonian treatment; its interaction with particles could be described by an interaction energy, so that the usual method of Hamiltonian quantum mechanics could be applied. On the other hand, Dirac thought that the field and the particles should play essentially different roles. That is to say, according to him, “the role of the field is to provide a means for making observations of a system of particles” and therefore “we cannot suppose the field to be a dynamical system on the same footing as the particles and thus be something to be observed in the same way as the particles” [. . .]' back

Theorema Egregium - Wikpedia, Theorema Egregium - Wikipedia, the free encyclopedia, 'Gauss's Theorema Egregium (Latin for "Remarkable Theorem") is a foundational result in differential geometry proved by Carl Friedrich Gauss that concerns the curvature of surfaces. The theorem says that the Gaussian curvature of a surface can be determined entirely by measuring angles, distances and their rates on the surface itself, without further reference to the particular way in which the surface is embedded in the ambient 3-dimensional Euclidean space. Thus the Gaussian curvature is an intrinsic invariant of a surface.' back

Zootopia 2 - Wikipedia, Zootopia 2 - Wikipedia, the free encyclopedia, ' Zootopia 2 (titled Zootropolis 2 among other names in some markets)[b] is a 2025 American animated buddy cop comedy film produced by Walt Disney Animation Studios. The sequel to Zootopia (2016), it was written by Jared Bush, who co-directed it with Byron Howard. Ginnifer Goodwin, Jason Bateman, Shakira, Idris Elba, Alan Tudyk, Nate Torrence, Don Lake, Bonnie Hunt, and Jenny Slate reprise their roles from the first film, with Ke Huy Quan, Fortune Feimster, Andy Samberg, David Strathairn, Patrick Warburton, Quinta Brunson, and Danny Trejo joining the cast. It once again follows Judy Hopps and Nick Wilde, this time as they pursue reptile Gary De'Snake across Zootopia and try to clear their names after being framed. back

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