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Notes DB 92: Physical Theology II - 2025

Sunday 22 June 2025 - Saturday 28 June 2025

[page 235]

Sunday 22 June 2025

Try to finish physical_theology_May2025 today, read and dispatch tomorrow.

The physical world always knows what it is doing. It is the parliament’s job to write unambiguous law and the judiciary to understand what the parliament wanted.

So, I have written up last week’s notes but I am still in the dark about Pauli exclusion principle. Hoping that separation of Hilbert and Minkowski will open a door but first have to connect Hilbert to mass and the electron. Hu is a door, opening the geometry and topology of the electron to Hilbert and now I want to find the way in without relying on the field theoretical deus ex machina of an electron field. Might try Auyang. She is probably wrong but might supply a good idea. Qiu-Hong Hu (2005_12_29): The nature of the electron, Sunny Auyang (1995): How is Quantum Field Theory Possible?

[page 236]

Auyang no use - reinforces my anti-field theory feeling. But how do we get [particles and Minkowsi space] from Hilbert space with no energy, mass , space and time? Where did Minkowski space come from. Look at the metric: it has a place for null geodesics and 3D for the Pauli exclusion particles. Where did this come from. We need to understand a) null geodesics; and b) the exclusion principle, and here’s the problem. Why do fermions hate each other. It has got something to do with their relationship, mediated by photons., something like the Trinity, individuated by relationship.

Saved again by Augustine and Thomas. The Father and Son are fermions. The Spirit is a boson - the love that joins them and the love that keeps them apart. So read Thomas, not Sunny Auyang. A relationship is a thing, a boson, so what does integral spin mean - half for each of the spin ½ fermions, so ½ + ½ = 1. Aquinas, Summa I, 28, 1: Are there real relations in God?

Monday 23 June 2025

Duck and Sudarshan conclude that relativity is necessary for the existence of exclusion, but is it a property of the fermion or does it involve both fermion and boson, in other words Klein-Gordon and Dirac fields. Or does it involve fields at all, which I would like, ie is it in the electrodynamic case, a product of the way photons and electrons communicate as suggested by Hu. Next look

[page 237]

at Feynman and Weinberg. The search continues and my theological future depends on it. Have I got enough already, or do I need more, the argumentum crucis? Still looking for my elusive Aristotle / Aquinas / Einstein moment. Ian Duck and E.C.G. Sudarshan (1998): Toward an understanding of the spin-statistics theorem, Richard Feynman & Steven Weinberg (1986): Elementary Particles and the Laws of Physics The 1986 Dirac Memorial Lectures

Phone: When we finally get rid of the field theory all that normalization stuff will disappear along with the fake explanation of chromodynamics and we will be back to a simple personal description of a simple basic universe.

Phone: Hu gives a topological and geometric picture of the electron which is (formally) relatively easy to unite with Hilbert space [since they are both geometrical/topological]. Now we study the emission of photons by electrons through Feynman’s QED. How do we explain the massless particle moving in a curved orbit in [Hu’s] electron. Could this work for gluons in a proton?

I say that field theory is a child of imperialism but am I right, via the idea of creating a social field gives all people the same mental structure as the belief system imposed on catholics and other followers of religion? I feel this way on the basis of [my experience in] the first quarter of s century of my life.

I sit solid on my understanding of reality.

“It just came out of you”. Love and Mercy (film) - Wikipedia

[page 238]

Tuesday 24 June 2025

My overall trend is personal vs imperial, stretching all the way from the initial singularity to daily life, based on the universal living allowance bequeathed to all particles by divine gravitation. The immediate problem remains the origin of space and the exclusion principle but we have a few clues: individuation in the Trinity and Aristotle’s view that space is in effect its content. The first step is to state all this as hypothesis, which is pretty much what I have been doing all along and fill in the details through proof by observation and then proof by modelling rather that Einstein’s approach that the world should follow his mathematics, rather than mathematics follow the world, since mathematics is in effect collateral creation by evolutionary exploration by variation and selection, tautologically supporting things that work. Aristotle (trans. Wicksteed & Cornford) : Physics Book IV: (185a32 sqq.), Albert Einstein (1933): On the Method of Theoretical Physics: Herbert Spencer Lecture 1933

Ancient theology and imperialism, for instance, lead to mass slaughter as demonstrated by Julius Caesar (De Bello Gallico), Adolph Hitler, Joseph Stalin, Hirohito, the British Empire and so on and on. Commentarii de Bello Gallico - Wikipedia, Iraq war - Wikipedia

This all suggests that physical_theology_May2025 should finish, like my book, with a methodological postscript on principles and the politics of science.

The exclusion axiom: communication

[page 239]

both unites and separates. How does this fit the linear superposition of quantum mechanics? Clues from the Trinity, given that quantum of action ≡ god. Quantum mechanics - kinematic superposition - stationary state = exclusion of motion. Waves can superpose to give both stationary maxima or minima (in phase, out of phase, same frequency, normalized [each basis state or eigenvector may represent a different frequency]).

Feynman and Weinberg, Taylor September 1987 Foreword page xi: ‘in his lecture, Weinberg shows how tightly quantum theory and relativity together constrain the laws of Nature and he speculates how Einstein’s theory of gravitation (of 1913) will be reconciled with quantum theory.’

The fact is that the laws of nature are only constrained by consistency and Feynman and Weinberg’s inconsistent quantum field theory does not do justice to the laws of nature which are much broader than this tiny thermonuclear field theoretical plot (says me who is struggling to introduce the theory of personal particles at all scales from the divine initial singularity to the divine universe. At present I am struck at the creation of Minkowski space by the Pauli exclusion principle).

Page 1: Feynman: The Reason for Antiparticles.

‘The title of the lecture is somewhat incomplete because I really want to talk about two subjects: first, why are there antiparticles, and,

[page 240]

second, the connection between spin and statistics [or better the connection between spin and interaction, fermions and bosons]

Trinity model is like Dirac — gives the equation (Augustine) — and the interpretation (Aquinas)

page 2: ‘the crucial idea to wed quantum mechanics and relativity together was the existence of antiparticles.’ or to put it another way, quantum mechanics invented antiparticles on the way to Minkowski space and had to devise the weak interaction to get rid of the antiparticles in the same way that evolution has come with predation which we have to eliminate with universal basic income [which has been provided for the universe as a whole by the divine omnipotence of gravitation].

page 3: If I make two pairs of electrons and positrons and I compare the amplitudes for when they annihilate directly or for when they exchange before they annihilate, why is there a minus sign? <.p>

My feeling is that all the Feynman story from page 4 to 11 is a field theoretical dodge to get around the fact that quantum mechanics is built on Minkowski space which is (to me) the fundamental failure of physics which introduces the imperialism of field into the day to day personal life of particles.

[page 241]

page 12: introduces unitarity.

Hanbury Brown and Twiss effect - WikipediaFeynman page 23: Hanbury Brown Twiss effect. Jump to Weinberg. Hanbury Brown and Twiss effect - Wikipedia

Weinberg page 61: ‘I am going to jump over all the details and speak about what is for a people working in my area of physics the greatest quesyion of all: what are the final laws of physics?

Back to Feynman: All of Feynman’s discussion is built on the idea that Hilbert space is built on Minkowski space and all his results come via the ∫ of d3x . . .. But, we say, quantum mechanics is fundamental and we want to get all the results from that, so how do we distinguish fermions and bosons in bare quantum mechanics, the primordial equivalent of bare gravitation ie how does bare quantum mechanics embrace the plate trick in Minkowski space? Something formal? Something to do with the superposition of waves because that is all there is, and we should be able to explain it with a qubit - so go on! [answer: double cover SU(2)?] Plate trick - Wikipedia

Weinberg page 70: quantum mechanics will survive.

page 72: ‘I don’t know any generalization of quantum mechanics that makes sense. That is, I do not know of any consistent theory in which quantum mechanics appears to be a special case.’

page 73: ‘specifying the symmetry group of nature may be all we need to say

[page 242]

about the physical world, beyond the principles of quantum mechanics.’

' The mystery of Spinors’ Richard Behiel (a): The Mystery of Spinors

YouTube: The Dirac Equation Richard Behiel (b): Deriving the Dirac Equation

YouTube: The Klein-Gordon Equation Richard Behiel (c): Deriving the Klein Gordon Equation

Attiyah - spinors - the Pauli exclusion principle — what we have to do is just get spinors out of quantum mechanics - rotation of objects in three dimensions and then we go to the Dirac equation - homotopic, simply connected, homotopy class, topology. Rotations, Vector vs Spinor. 2D Matrix |cosθ . −sinθ| / |sinθ . cosθ|, orthogonal, close to SO(2), quaternions ⇆ SU(2). Unitarity means inverse is complex conjugate transpose - dot product is complex number × conjugate. Spinors are acted upon by SU(2) matrix. SU(2) has 3 [4?] degrees of freedom [entropy] double covers SO(3). Spinors are square root of geometry (Atiyah) and one SU(2) is − and the other is +, Goddard, Hawking, Pais, Jacob, Olive, & Atiyah (1998): Paul Dirac, The Man and His Work

Electron Dirac first order in space and time. Why is an electron a fermion [Duck and Sudarshan (1998)].

Let us imagine that the photon is a product of a one dimensional Hilbert space [naked gravitation with 1 fixed point?] a boson, and the double cover of the fermionic space arises from a quantum qubit which breaks through into the first fermions, the electrons. Then we get antimatter and the weak force to stamp it out, each of these developments being reinforced by the fact that they are a door to the future [implicit final cause], bosons and fermions to Minkowski space [and the individuation of fermionic particles].

Wednesday 25 June 2025

I am a long way out on a very thin limb here and my salvation appears to being able to show that the SU(2) group is a very natural inhabitant of the qubit |Φ⟩ = a|boson⟩ + b|fermion⟩ which idea I hope to understand via Behiel showing that the double cover of the Euclidean element of Minkowski space originates in ‘pure’ quantum mechanics and so becomes the source of the spin-statistics link and the ‘cause’ of Minkowski space.

The motivation for my union of SU(2) and the qubit is entropic. SU(2) has 4 variables in 2 complex numbers. The qubit has 8 variables in 4 complex numbers reduced to 6 by the normalization constraint and further reduced to 4 by the quantum hermitian operator [selecting an eigenector, boson or fermion]. Given equal numbers of symbols (equal entropy) all we have to do now (in the light of Shannons theory) is to tweak the meanings of the symbols to achieve the desired result, a consequence of the heuristic (axiom) of simplicity. [So snooze, walk and write it into physical_theology_May2025].

We may see the SU(2) matrix as a quantum operator which does a circit of 4 points, electron, positron, spin up, spin down.

Quantum mechanics is pretty much music according to Weinberg. Now we must tell the story of particles built around SU(2).

QM creates the form; gravitation makes [it become a perfect substance]: entelechomorphism (?)

[page 243]

All neutrinos are left handed. Higgs field fixes the electroweak model, making electroweak particles massive. Empty space is a superconductor [Behiel sounds like Wilczek, a new fashion?] Richard Behiel (e): Superconductivity and the Higgs Field

I need to concentrate on the creative power of evolution and quantum mechanics. So back to Weinberg.

Thursday 26 June 2025

We are all at heart peacocks, so appearances count for a lot. Look at Trump Bezos — wealth and display count for a lot and are in many ways the foundation of imperialism, pomp and splendour at the expense of lesser beings. For a strange reason (perhaps my mother) I appear to rejoice in relative poverty. I see my book as a true reflection of myself and my view of the universe, but what do I want to do about it. Nothing? I am feeling old and complacent, Finished? Where do I fit in?

physical_theology_May2025. New abstract emphasizing initial singularity and the heuristic of simplicity to justify simple explanation of simple universe: Plato, Aristotle, Augustine, Thomas, Galileo, Einstein’s dead end. We can all agree on something very simple: quantum music.

Theology is the theory of everything, eternal, omnipotent simlicity —

[page]

life is what you make it by throwing away all the preconceptions like Heisenberg [did].

Behaviour of a particles is determined by the [interactions of the] operators within them, so do we expect a fermion to contain an operator represented by the SU(2) matrix?

Independent particles plus voting makes acceptable decisions - democracy. The alternative is violence [forceful top down control]

Decoding a genome is a bit like decoding a quantum vector, loverly breakthrough, something I have known all the time, the duality of god and spirit, language and personality, genes and body, quantum theory and classical dynamics all beginning with divine gravitation [beauty lies in the arrangement of the parts, notes, words, sounds, sentiments].

Freedom from the constraint of the omnipotent god who knows everything and can create nothing new; best to begin with empty omnipotence and keep all the history so that we can understand where we went wrong, like the history of engineering, the history of physics. Henry Petroski (2006): Success Through Failure: The Paradox of Design

The extreme pain inflicted on me by my family, a psychological crucifixion, has driven me to break the chains of Catholicism, imperialism, no longer enmeshed in field theory, open in the infinite space of naked gravitation the source of infinite kinetic and potential energy and the power of quantum mechanics to generate transfinite basis states than can be realized without boundary by the zero sum bifurcation of gravitation.

[page 246]

The route to physics by increasing kinetic energy [Weinberg] hides the complexity developed by its dual, increasing potential energy.

Friday 27 June 2025

The battle of the omnipotent omniscent theocracies continues reaching deeper into madness as the lunatics take over the asylum. Yair Rosenberg (2025_06_25): What America Can Learn From Iran’s Failure

We see the advent of quantum mechanics in the evolution of the world as the emergence of Hilbert space through the action of the divine initial singularity conceived as naked gravitation, according to the non-constructive activity of fixed point theory. This process we consider to be random because the initial singularity has no structure at this point to control its activity.

The first step in the emergence of quantum mechanics is the emergence of one dimension Hilbert space which we understand to be the basis of the first particle, the photon. The random emergence of photons acquiring random energies from the zero sum bifurcation of naked gravitation we may understand as a big flash of light, corresponding perhaps to the realization of Plato’s form of the good which metamorphosed into the Hebrew and Christian philosophical model of god and corresponds to the insight recorded in Genesis that the Spirit of God hovered over the waters

[page 247]

(Thales) and said let there be light. These photons had nowhere to go nor any meaningful lifetime because space and time did not yet exist. Their only property (the only fixed property of a photon) was phase or polarization, the message to be carried between fermions when they come into existence as a product of the 2D Hilbert space we call a qubit. We may think of the soul or form of a photon, its message as a boson,is its phase which is identical to its Hilbert basis state, which is the U(1) group. Form of the Good - Wikipedia

The advent of Hilbert space with two basis states may be identified with the creation of the first particulate fermion, the electron, whose eigenfunctions are represented by the SU(2) group. We assume that the qubit is capable of producing stable fermions [eigenstates], corresponding to both fermions and bosons of orthogonal phase. This state may serve as a foundation for all the observed fundamental particles which are either fermions or bosons of different complexity, arising from more complex Hilbert spaces which have more complex spectra of hermitian operators [which are in effect enclosed in particular particles giving each its personality in conversations the universal society of elementary particles].

Only after the introduction of fermions does Minkowski space become a reality because, as Aristotle told us, the nature of space is defined by the bodies within it, ie [space] is an imagined reality like [scholastic] prime matter, nec quid, nec quale, nec quantum, nec aliquid eorum quibus ens determinatur [not a what is, nor a sort of, nor a quantity of, nor any of the things which constrain the nature of reality]. Even less than the empty omnipotent initial singularity!

[page 248]

Now, of course, the whole weight of the theology and physics enterprises might turn against me. Have they not got very deep stakes in the grounds of the universe. Squadrons of raised hackles confront me and laugh at my simplicity. But I have an answer, a very old and slightly mystical answer, the nature of the initial singularity, known as God to Thomas Aquinas, perhaps the most influential theologian in Christianity (after its namesake, Jesus of Nazareth of course).

Wikipedia: Relativistic Lagrangian Mechanics Relativistic Lagrangian mechanics - Wikipedia

Behiel’s story is just a continuous field version of a localized dance of particles. Richard Behiel (d): Electromagnetism as a Gauge Theory

Saturday 28 June 2025

Another abstract for physical_theology_May2025 as it slowly evolves toward a publishable version. Title: A Simple Picture of the Universe.

Quantum mechanics began in 1900 with Max Planck’s discovery that the electromagnetic radiation from as hot body appears not just as waves, as predicted by James Maxwell by also has a particulate quantum nature.

Relativity began in 1905 when Albert Einstein realized that every person in steady motion sees the same speed of light. In 1905 he extended this insight from steady to accelerated motion and produced a general

[page 249]

theory of relativity. This theory has now been explored in great detail and has revealed to us a comprehensive picture of the Universe as a whole. In 1905 Einstein also made a major contribution to quantum theory by suggesting that light can be understood as a gas of the real particles that came to be called photons.

By the late 1920s quantum mechanics had developed into a fairly comprehensive theory which told us a lot about the electronic structure of atoms and began to delve into the inner nucleus of the atom where the energies involved are about a million times greater than the energies in the outer electrons. At higher energies it became clear that quantum mechanics had to be reconciled with relativity to explain the creation and annihilation of elementary particles.

In 1938, in then Nazi Germany, Hahn and Strassman discovered that neutrons can cause heavy nuclei to split into smaller nuclei, releasing large amounts of energy and neutrons which could cause further fission leading to a chain reaction. This discovery led to an intensive military effort to develop nuclear weapons which culminated in the nuclear bombing of Hiroshima and Nagasaki in 1945. Nuclear Fission - Wikipedia

The continued development of nuclear weapons has led to the investment of enormous resources in physical research leading to a situation of Mutual Assured Destruction

[page 249]

in which major nuclear armed nations in the world have the ability to annihilate one another if thermonuclear conflict should rise. The theoretical basis for this activity is known as quantum field theory whose principal subdisciplines are quantum electrodynamics dealing with electrical phenomena and quantum chromodynamics concentrating on nuclear phenomena.

This has been far too long to be an abstract but comes to my motivation for seeking to cut through all the complexity that has arisen in quantum field theory so as to bring physics and theology into contact as a long term approach to healing the current situation of MAD upsetting the world [and distracting attention from the equally dangerous environmental damage we are doing to our planetary home].

My feeling is that field theory supports an autocratic and theocratic view of the world that totally overrides the quantum reality which provides a much greater freedom and autonomy to the elements of the world by releasing them from the control of global fields and giving control to the individual particles based on their individual personalities exercised by individual knowledge rather than by collective control. [This introduces] the ideas of autonomy and consent as inherent features of quantum theory as opposed to the notion that particles are completely subject ti controlling fields, thereby removing the randomness and variation essential to creation and replacing it with a doctrine, in the political interpretation, of imperial omnipotence that demands obedience to imperial powers, the basic motivation of autocratic theocratic wars.

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The difficulty which confronts me is to write a short single compact article that connects this idea to physics, ie embraces the idea of symmetry wth respect to complexity. We have a good start in modern physics with the emphasis on symmetry embodied in U((1). SU(2) and SU(3) but the idea is to go deeper, to SU(0) = Hilbert space and provide a foundation in quantum mechanics for autonomy and democracy as a route to maximum entropy, stability and peace. So we might say Physics, a Theory of Peace.

My initial 1987 Ansatz was on the ball and I need to incorporate this as an antidote to imperial fields. I do not like people talking abut the Dirac field. Jeffrey Nicholls (1987): A Theory of Peace

Gravitation is the only continuous topological field because, as Einstein notes:

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. Albert Einstein (1915): The Field Equations of Gravitation

BUT: The special theory of relativity does not go deep enough. It is a continuous classical theory that ignores its foundation in quantum mechanics. We have to go deeper, to the divine quantum of action.

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So the root of the article is that theology is the ancient theory of everything and divinity and the quantum of action, actus purus are identical. Here we arrive at the simple story of the simple universe. Now breakfast.

Now Weinberg:

In quantum mechanics a system is described by a vector of unit length and the probabilities of an experiment giving different results are described by the squares of the components of the vector. The dynamics of the system are then described by giving a rule or law for how the vector rotates in time. The rule that says that in one instant the vector will rotate by a certain amount is the dynamical prescription of the system, Incidentally it is always a perfectly deterministic prescription. The state vector evolves deterministically and the indeterminism only enters when we try to measure the state the coin it in [??]. [. . .]

Now will quantum mechanics survive in a future final theory of physics? I would guess that it will, partly because of the enormous success that it has had over the last sixty years, but even more because of the sense of inevitability that quantum mechanics gives us. [. . .]

I don't know of any generalization of quantum mechanics that makes sense. That is I don’t know of any larger logically consistent theory in which quantum mechanics appears as a special case. Richard Feynman & Steven Weinberg (1986):Elementary Particles and the Laws of Physics The1986 Dirac Memorial Lectures

Symmetries of nature are not symmetries of space and time but the fundamental symmetry with respect to complexity which begins with the zero entropy initial singularity and continues ad infinitum constrained only by consistency. This is the symmetry of quantization. Everything is something. Everything is an agent in the universal process, a quantum of action.

The final solution: quantum mechanics and symmetry with respect to complexity: Everett III. Hugh Everett III, Dewitt & Graham (1973): The Many Worlds Interpretation of Quantum Mechanics

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Moe on cart before horse: as though quantum theory could be controlled from below by Minkowki space rather than Minkowski space being built on quantum mechanics via fermions and bosons — particles are the agents, enbedded quanta of action, not the abstract fields.

Copyright:

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Further reading

Books

Aristotle, and (translated by P H Wickstead and F M Cornford), Physics books I-IV, Harvard University Press, William Heinemann 1980 Introduction: 'The title "Physics" is misleading. .. "Lectures on Nature" the alternative title found in editions of the Greek text, is more enlightening. ... The realm of Nature, for Aristotle, includes all things that move and change ... . Thus the ultimate "matter" which, according to Aristotle, underlies all the elementary substances must be studied, in its changes at least, by the Natural Philosopher. And so must the eternal heavenly spheres of the Aristotelean philosophy, insofar as they themselves move of are the cause of motion in the sublunary world.' 
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Auyang (1995), Sunny Y., How is Quantum Field Theory Possible?, Oxford University Press 1995 Jacket: 'Quantum field theory (QFT) combines quantum mechanics with Einstein's special theory of relativity and underlies elementary particle physics. This book presents a philosophical analysis of QFT. It is the first treatise in which the philosophies of space-time, quantum phenomena and particle interactions are encompassed in a unified framework.' 
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Everett III (1973), Hugh, and Bryce S Dewitt, Neill Graham (editors), The Many Worlds Interpretation of Quantum Mechanics, Princeton University Press 1973 Jacket: 'A novel interpretation of quantum mechanics, first proposed in brief form by Hugh Everett in 1957, forms the nucleus around which this book has developed. The volume contains Dr Everett's short paper from 1957, "'Relative State' formulation of quantum mechanics" and a far longer exposition of his interpretation entitled "The Theory of the Universal Wave Function" never before published. In addition other papers by Wheeler, DeWitt, Graham, Cooper and van Vechten provide further discussion of the same theme. Together they constitute virtually the entire world output of scholarly commentary on the Everett interpretation.' 
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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.' 
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Petroski (2006), Henry, Success Through Failure: The Paradox of Design, Princeton University Press 2006 ' Success through Failure shows us that making something better—by carefully anticipating and thus averting failure—is what invention and design are all about. Petroski explores the nature of invention and the character of the inventor through an unprecedented range of both everyday and extraordinary examples—illustrated lectures, child-resistant packaging for drugs, national constitutions, medical devices, the world’s tallest skyscrapers, long-span bridges, and more. Stressing throughout that there is no surer road to eventual failure than modeling designs solely on past successes, he sheds new light on spectacular failures, from the destruction of the Tacoma Narrows Bridge in 1940 and the space shuttle disasters of recent decades, to the collapse of the World Trade Center in 2001.' 
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Links

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), On the Method of Theoretical Physics: Herbert Spencer Lecture 1933, ' 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

Alex Lo (2025_06_22), My Take | Why ancient Rome is haunting contemporary America’s far right, ' The Roman empire looms large in the imagination of American men, and the world should worry. In 2023, TikTok’s algorithm uncovered a hitherto unsuspected trend emerging among Americans, mostly men, who seem to spend a lot of time thinking about ancient Rome. A more detailed analysis of TikTok data reveals they tend to favour the Roman empire over the republic, mostly because of its expanse, power and gladiators. [. . .] But perhaps the most interesting Roman admirer is Curtis Yarvin, a self-styled political philosopher online. I doubt Trump personally follows him, but Yarvin is the eminence grise to practically every hard-right figure working in the White House, as well as many others outside. He is to the intellectual segment of the far right what Alexander Dugin – sometimes dubbed Putin’s brain – is to the Russian strongman and what Wang Huning has been to successive Chinese presidents, including Xi Jinping. While Vice-President J.D. Vance has hinted darkly that the US is “in a late republican period”, Yarvin thinks it’s not a bad thing to follow Rome by transitioning from republic to empire. He once said America needs to get over its “dictator-phobia”. How? As summarised by The New York Times in a recent profile, mainstream academia and media should be dissolved, government bureaucracy dismantled, and democracy turned into a corporate version of monarchy, headed by a CEO. And that’s exactly what Trump has been doing since January.' back

Aquinas, Summa I, 28, 1, Are there real relations in God?, 'Reply to Objection 4. Relations which result from the mental operation alone in the objects understood are logical relations only, inasmuch as reason observes them as existing between two objects perceived by the mind. Those relations, however, which follow the operation of the intellect, and which exist between the word intellectually proceeding and the source whence it proceeds, are not logical relations only, but are real relations; inasmuch as the intellect and the reason are real things, and are really related to that which proceeds from them intelligibly; as a corporeal thing is related to that which proceeds from it corporeally. Thus paternity and filiation are real relations in God.' back

Commentarii de Bello Gallico - Wikipedia, Commentarii de Bello Gallico - Wikipedia, the free encyclopedia, ' Commentarii de Bello Gallico English: Commentaries on the Gallic War), is Julius Caesar's first-hand account of the Gallic Wars, written as a third-person narrative. In it, Caesar describes the battles and intrigues that took place in the nine years he spent fighting the Celtic and Germanic peoples in Gaul who opposed Roman conquest. [. . .] Although most contemporaries and subsequent historians considered the account truthful, 20th-century historians have questioned the outlandish claims made in the work. Of particular note are Caesar's claims that the Romans fought Gallic forces of up to 430,000 (a size believed to be impossible for an army at that time), and that the Romans suffered no deaths against this incredibly large force.' back

De Bello Gallico, Julius Caesar, 'De Bello Gallico' and other Commentaries by Julius Caesar translated by W A MacDevitt. back

Emily Clark (2025_06_22), Iran's powers have long battled for supremacy, but they have the same 'red lines' on nuclear, ' In the early 1950s, Iran had a liberal prime minister who was nurturing a delicate and imperfect democracy, and who believed the nation should stop shipping the country's resource riches offshore. Mohammad Mossadegh wanted to take the wealth buried in Iran's oil fields and invest it into the country and its people. The parliament that elected him had also passed his flagship legislation, but locking United States and British interests out of the Iranian oil industry was not going to work for the West. When Mossadegh nationalised Iran's oil industry, he achieved one of his greatest ambitions, but he also set in motion his eventual downfall. [. . .] In a now-declassified CIA document, the agency said Mossadegh was "one of the most mercurial, maddening, adroit, and provocative leaders" American and British officials had ever encountered. His agenda put a target on his back, and he soon became the focus of a covert intelligence operation said to have been hatched in the bowels of the US embassy in Tehran. The Western powers were orchestrating an uprising against him and planned to install a replacement who would be much more friendly to their oil interests. In that same declassified document, the CIA admits to Operation Ajax and that it "had a hand" in the demonstrations that spilled onto the streets of Tehran. ' back

Form of the Good - Wikipedia, Form of the Good - Wikipedia, the free encyclopedia, ' "Form of the Good", or more literally "the idea of the good" (ἡ τοῦ ἀγαθοῦ ἰδέα) is a concept in the philosophy of Plato. It is described in Plato's dialogue the Republic (508e2–3), speaking through the character of Socrates. This form is the one that allows a philosopher-in-training to advance to a philosopher-king. It cannot be clearly seen or explained, but it is the form that allows one to realize all the other forms. The definition of the Good is a perfect, eternal, and changeless Form, existing outside space and time, in which particular good things share.' back

Gabriela Bernal (2025_06_26), Opinion | How Trump’s Iran strikes doomed his North Korea strategy, ' Barely five months into his second term, US President Donald Trump’s “spectacular military success” in striking Iranian nuclear facilities reveals a stark contradiction at the heart of his foreign policy approach. While the US leader campaigned on ending wars through negotiation, his swift pivot from diplomacy to destruction in Iran carries profound implications for the decades-long nuclear stand-off with North Korea. The weekend strikes against three Iranian nuclear facilities, which Trump threatened would be followed by attacks on more targets if Tehran did not comply, are not just another military intervention in the Middle East. They constitute a dangerous precedent that fundamentally undermines any prospect of meaningful diplomacy with adversaries, including Pyongyang. North Korea was quick to condemn the US attack against its diplomatic ally. It said the strikes violated the UN Charter “and violently trampled down the territorial integrity and security interests of a sovereign state”. Trump announced on Monday night that a ceasefire was brokered with Iran after the latter launched missiles at the Al Udeid US military base in Qatar. However, it is unclear whether Iran and Israel will adhere to a prolonged cessation of hostilities. Despite Trump and North Korean leader Kim Jong-un holding summits in Singapore and Vietnam, the strikes in Iran are likely to confirm one of Pyongyang’s greatest fears: diplomatic engagement with the United States can quickly turn into military devastation. Even if a US president expresses interest in diplomacy, this doesn’t mean they will remain committed to the process.' back

Hanbury Brown and Twiss effect - Wikipedia, Hanbury Brown and Twiss effect - Wikipedia, the free encyclopedia, 'In physics, the Hanbury Brown and Twiss (HBT) effect[a] is any of a variety of correlation and anti-correlation effects in the intensities received by two detectors from a beam of particles. HBT effects can generally be attributed to the wave–particle duality of the beam, and the results of a given experiment depend on whether the beam is composed of fermions or bosons. Devices which use the effect are commonly called intensity interferometers and were originally used in astronomy, although they are also heavily used in the field of quantum optics.' back

Ian Duck and E.C.G. Sudarshan (1998), Toward an understanding of the spin-statistics theorem, 'We respond to a request from Neuenschwander for an elementary proof of the Spin-Statistics Theorem. First . . . Then we discuss an argument suggested by Sudarshan, which proves the theorem with a minimal set of requirements. . . . Motivated by our particular use of Lorentz invariance, if we are permitted to elevate the conclusion of flavour symmetry (which we explain in the text) to the status of a postulate, one could recast the proof without any relativistic assumptions, and this make it applicable even in the nonrelativistic context. . . . Finally, an argument starting with ordinary number-valued (nonmmuting), and with Grassman valued (anticommuting) operators, shows in a natural way that these relativitcally embed into Klein-Gordon spin-0 and Dirac spin-½ fields, respectively. In this way the Spin Statistics theorem is understood at the expense of admitting the existence of the simplest Grassman-valued field.' back

Iraq war - Wikipedia, Iraq war - Wikipedia, the free encyclopedia, 'The Iraq War (Arabic: حرب العراق, romanized: ḥarb al-ʿirāq), also referred to as the Second Gulf War, was a prolonged conflict in Iraq from 2003 to 2011. It began with the invasion by a United States-led coalition, which resulted in the overthrow of the Ba'athist government of Saddam Hussein. The conflict persisted as an insurgency arose against coalition forces and the newly established Iraqi government. US forces were officially withdrawn in 2011. In 2014, the US became re-engaged in Iraq, leading a new coalition under Combined Joint Task Force – Operation Inherent Resolve, as the conflict evolved into the ongoing Islamic State insurgency. [. . .] The war led to an estimated 150,000 to over a million deaths, including over 100,000 civilians, with most occurring during the post-invasion insurgency and civil war.' back

Jeffrey Nicholls (1987), A theory of Peace, ' The argument: I began to think about peace in a very practical way during the Viet Nam war. I was the right age to be called up. I was exempted because I was a clergyman, but despite the terrors that war held for me, I think I might have gone. It was my first whiff of the force of patriotism. To my amazement, it was strong enough to make even me face death.
In the Church, I became embroiled in a deeper war. Not a war between goodies and baddies, but the war between good and evil that lies at the heart of all human consciousness. Existence is a struggle. We need all the help we can get. Religion is part of that help and theology is the scientific foundation of religion.' back

Jon Cohen (2025_06_20), Always ‘one atom away’: The long, rocky journey to an HIV prevention breakthrough, ' To many, it is the next best thing to an HIV vaccine. On Wednesday, the U.S. Food and Drug Administration (FDA) approved a new way to prevent HIV infection: the antiretroviral drug lenacapavir, which provides almost complete protection for 6 months with a single injection in the abdomen. Global health officials think the drug might help quell the tide of new HIV infections, still more than 1 million around the world each year. The approval caps a tortuous, 2-decade-long scientific journey for Gilead Sciences, a pharma company specializing in HIV drugs. Lenacapavir blocks an HIV protein that scientists initially thought was not a suitable drug target, and finding a molecule that was both potent and stable enough took many years and more resources than Gilead had ever invested in a drug development program. “The project almost died multiple times,” says Stephen Yant, a virologist on Gilead’s development team. But management had difficulty killing the project, says one director of development who did not want to be named, because the team was always “one atom away” from success. [. . . ] Sundquist says many other companies would have shut down the long-flailing effort to develop the world’s first capsid drug. “The Gilead people deserve enormous credit for sticking to a problem and solving it with amazing science,” he says. The question now is whether the people who need it most can benefit from that perseverance.ds AVAC, an advocacy group for PrEP and HIV vaccines.' back

Kate Bush, Running Up That Hill (extended remix), ' Bon boulot. La continuité musicale est subtile; J'apprécie beaucoup cette version extra longue, mais sans excès. Quelle talentueuse chanteuse cette Kate! Je la suis de plus ou moins loin depuis que je suis ado et elle est si créative et unique. J'ai aujourd'hui 60 piges et j'aime toujours autant ses chansons. Mon album préféré restera quand même never for ever; une véritable balade féérique et exotique de laquelle elle aura su composer une rêverie intemporelle... back

Love and Mercy (film) - Wikipedia, Love and Mercy (film) - Wikipedia, the free encyclopedia, ' Love & Mercy is a 2014 American biographical drama film directed by Bill Pohlad about the Beach Boys' co-founder and leader Brian Wilson and his struggles with mental illness during the 1960s and 1980s. It stars Paul Dano and John Cusack as the young and older Wilson, respectively, with Elizabeth Banks as his second wife Melinda Ledbetter and Paul Giamatti as his psychologist Dr. Eugene Landy. The title comes from Wilson's 1988 song of the same name.' back

Nicholas Spiro (2025_06_26), Macroscope | How unique US advantages are fuelling Trump’s reckless behaviour, ' If there is one theme that has dominated financial markets since US President Donald Trump began his second term, it is the future of “American exceptionalism”. This is the notion that US assets deserve to be valued more highly because of the US dollar’s role as the world’s pre-eminent reserve currency, America’s huge natural and human resources, deep and transparent capital markets and the dominance of US technology companies in global stock market indices. [. . . ] While multiple factors are at work – not all of them positive – the jury is still out on whether US exceptionalism is coming to an end. This is mainly because of the dominance of the US dollar and Treasury bonds, the keystones of global trade and finance that have allowed successive US administrations to run large current account and fiscal deficits. [. . .] Yet here again, Trump has gone too far. The safe-haven appeal of US assets has suffered significantly in the past several months. That the independence of the US Federal Reserve is now in question shows the extent to which the credibility of US policymaking has eroded. The total lack of restraint in fiscal policy has emerged as a bigger threat to US markets than tariffs. Trump’s tax-and-spend legislation currently working its way through Congress would add trillions of dollars to an already-ballooning fiscal deficit, increasing the risk that foreign investors will demand a higher risk premium to hold US assets. The prospect of a “revenge tax” on companies and individuals from countries whose tax policies the US deems discriminatory heightens the risks further. Trump is convinced the US economy and markets are strong enough to cope with the disruption and uncertainty his policies engender. He might be right. What is clear, however, is that America’s unique advantages are contributing to Trump’s recklessness.' back

Nuclear Fission - Wikipedia, Nuclear Fission - Wikipedia, the free encyclopedia, ' Nuclear fission is a reaction in which the nucleus of an atom splits into two or more smaller nuclei. The fission process often produces gamma photons, and releases a very large amount of energy even by the energetic standards of radioactive decay. Nuclear fission was discovered on 19 December 1938 in Berlin by German chemists Otto Hahn and Fritz Strassmann. Physicists Lise Meitner and her nephew Otto Robert Frisch explained it theoretically in January 1939. Frisch named the process "fission" by analogy with biological fission of living cells. In their second publication on nuclear fission in February of 1939, Hahn and Strassmann predicted the existence and liberation of additional neutrons during the fission process, opening up the possibility of a nuclear chain reaction.. back

Plate trick - Wikipedia, Plate trick - Wikipedia, the free encyclopedia, ' In mathematics and physics, the plate trick, also known as Dirac's string trick (after Paul Dirac, who introduced and popularized it), the belt trick, or the Balinese cup trick, is any of several demonstrations of the idea that rotating an object with strings attached to it by 360 degrees does not return the system to its original state, while a second rotation of 360 degrees, a total rotation of 720 degrees, does. Mathematically, it is a demonstration of the theorem that SU(2) (which double-covers SO(3)) is simply connected. To say that SU(2) double-covers SO(3) essentially means that the unit quaternions represent the group of rotations twice over. A detailed, intuitive, yet semi-formal articulation can be found in the article on tangloids. back

Qiu-Hong Hu (2005_12_29), The nature of the electron, ' Through investigating history, evolution of the concept, and development in the theories of electrons, I am convinced that what was missing in our understanding of the electron is a structure, into which all attributes of the electron could be incorporated in a self-consistent way. It is hereby postulated 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. A formulation is presented to describe an isolated electron at rest and at high speed. It is shown that the formulation is capable of incorporating most (if not all) attributes of the electron, including spin, magnetic moment, fine structure constant, anomalous magnetic moment, and charge quantization into one concrete description of the Hubius Helix. The equations for the description emerge accordingly. Implications elicited by the postulate are elaborated. Inadequacy of the formulation is discussed.' back

RationalWiki - Wikipedia, RationalWiki - Wikipedia, the free encyclopedia, ' RationalWiki is an online wiki which is written from a scientific skeptic, secular, and progressive perspective. Its stated goals are to "analyze and refute pseudoscience and the anti-science movement, document crank ideas, explore conspiracy theories, authoritarianism, and fundamentalism, and analyze how these subjects are handled in the media."[8] It was created in 2007 as a counterpoint to Conservapedia, a Christian fundamentalist website, after an incident in which some editors of Conservapedia were banned.[6][9] RationalWiki has been described as liberal in contrast to Conservapedia. back

Relativistic Lagrangian mechanics - Wikipedia, Relativistic Lagrangian mechanics - Wikipedia, the free encycopedia, ' In theoretical physics, relativistic Lagrangian mechanics is Lagrangian mechanics applied in the context of special relativity and general relativity. [. . .] Although, unlike non-relativistic mechanics, the relativistic Lagrangian is not expressed as difference of kinetic energy with potential energy, the relativistic Hamiltonian corresponds to total energy in a similar manner but without including rest energy. The form of the Lagrangian also makes the relativistic action functional proportional to the proper time of the path in spacetime. back

Richard Behiel (a), The Mystery of Spinors, 'In this video, we explore the mystery of spinors! What are these strange, surreal mathematical things? And what role do they play in physical reality? We'll talk about the algebra of SO(3) and SU(2), and the profound physical implications of spinors, particularly as it relates to spin-statistics and the stability of matter! back

Richard Behiel (b), Deriving the Dirac Equation, ' In this video, we'll derive the Dirac equation, and see where it comes from!' back

Richard Behiel (c), Relativistic Quantum Waves (Klein-Gordon Equation), In this video, we'll unify special relativity and quantum mechanics, to derive the beautiful Klein-Gordon equation! Then we'll explore some of its properties, to see what it can (and can't) tell us about the nature of things. This is part of a video series that's building toward an exploration of the Dirac equation, and then a triumphant return to the hydrogen atom. back

Richard Behiel (d), 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

Richard Behiel (e), Superconductivity and the Higgs Field, 'In this video, we explore the Higgs field, which has a nonzero expectation value throughout our universe, even in "empty" space. The Higgs field is very much like a superconducting condensate, and so we will use superconductivity as a way of exploring the Higgs field. The video begins with a crash course on superconductivity, then segues into an in-depth exploration of the Anderson-Higgs mechanism (in which gauge bosons acquire mass, by the consumption of Nambu-Goldstone modes), and finally we'll then explore the Higgs field in the context of the electroweak model.' back

Richard Bthiel (c), Deriving the Klein Gordon Equation, ' 0:00 Intro 0:38 Three Principles for the Dirac Equation 3:12 Square Root of the Mass Shell 7:30 Anticommutation Relations 9:50 The Dirac Matrices 10:58 The Dirac Equation 13:58 Spinors' back

Richard Feynman & Steven Weinberg (1986), Elementary Particles and the Laws of Physics The1986 Dirac Memorial Lectures, Foreword: John C Taylor: 'Dirac Died in 1984, and St John's College, Cambridge (Dirac's College), very generously endowed an annual lecture to be held at Cambridge University in Dirac's memory. The First two lectures, printed here, are contrasting variations of Dirac's theme of the union of quantum theory and relativity.' back

Steven Sherwood, Benoit Meyssignac & Thorsten Mauritsen (2025_06_27), Earth is trapping much more heat than climate models forecast – and the rate has doubled in 20 years, ' How do you measure climate change? One way is by recording temperatures in different places over a long period of time. While this works well, natural variation can make it harder to see longer-term trends. But another approach can give us a very clear sense of what’s going on: track how much heat enters Earth’s atmosphere and how much heat leaves. This is Earth’s energy budget, and it’s now well and truly out of balance. Our recent research found this imbalance has more than doubled over the last 20 years. Other researchers have come to the same conclusions. This imbalance is now substantially more than climate models have suggested. In the mid-2000s, the energy imbalance was about 0.6 watts per square metre (W/m2) on average. In recent years, the average was about 1.3 W/m2. This means the rate at which energy is accumulating near the planet’s surface has doubled. These findings suggest climate change might well accelerate in the coming years. Worse still, this worrying imbalance is emerging even as funding uncertainty in the United States threatens our ability to track the flows of heat. [. . .] The doubling of the energy imbalance has come as a shock, because the sophisticated climate models we use largely didn’t predict such a large and rapid change. Typically, the models forecast less than half of the change we’re seeing in the real world. [. . .] We’ve known the solution for a long time: stop the routine burning of fossil fuels and phase out human activities causing emissions such as deforestation. Keeping accurate records over long periods of time is essential if we are to spot unexpected changes. Satellites, in particular, are our advance warning system, telling us about heat storage changes roughly a decade before other methods. But funding cuts and drastic priority shifts in the United States may threaten essential satellite climate monitoring.; back

Yair Rosenberg (2025_06_25), What America Can Learn From Iran’s Failure, ' It would be easy to dismiss Iran’s wartime failures as unique to the country’s dysfunctional authoritarian system. But that would be a mistake. Jalali and other top Iranian officials were unable to defeat Israel not just because their own intelligence capabilities didn’t match up, but because their adherence to regime-sanctioned fantasies made grasping Israel’s actual abilities impossible for them. As a result, once Israel decided, after October 7, that it could no longer tolerate the risks of constant aggression from Iran and its proxies, the regime’s defenses quickly folded. In this way, Iran’s predicament is a cautionary tale about what happens when loyalty to a ruling ideology—rather than capability—determines who runs a society, and when conspiracies, rather than reality, shape decision making. Although the Iranian theocracy presents an acute case of this phenomenon, the early symptoms are beginning to manifest in democratic societies, including our own. Consider: Today, the U.S. Department of Health and Human Services is run by Robert F. Kennedy Jr., a man who has cast doubt on decades of scientific research on the effectiveness of vaccines. He recently fired the entire membership of the CDC’s Advisory Committee on Immunization Practices and appointed several vaccine skeptics to the panel, which is now planning to review childhood vaccination standards. Kennedy attained his position as a reward for endorsing Donald Trump during the 2024 campaign. Tulsi Gabbard, the director of national intelligence, has suggested that the former Syrian dictator Bashar al-Assad did not use chemical weapons against his own people in 2017 and 2018, despite extensive documentation of the attacks, including by the Organization for the Prohibition of Chemical Weapons and the previous Trump administration. A former Democrat, she also attained her position after endorsing Trump. Thomas Fugate, a 22-year-old recent college graduate who worked on Trump’s 2024 campaign, is now the interim director of the Center for Prevention Programs and Partnerships at the Department of Homeland Security, despite having no apparent experience in counterterrorism. And that’s to say nothing of Congress, where people such as Representative Marjorie Taylor Greene of Georgia, a conspiracy theorist who once speculated that the Rothschild banking dynasty was setting wildfires with a space laser, now sit on the powerful House Oversight Committee. Politicians have long rewarded their allies with plum positions. But when allegiance replaces proficiency as the primary qualification for advancement, and conspiracism replaces competency, disaster looms. Flunkies guided by regime ideology lack the capacity to understand and solve national crises. Just look at Iran.' back

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