Natural Theology

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Notes DB 94 - Theory of Peace - 2026

Sunday 12 July 2026 - Saturday 18 July 2026

[page 221]

Sunday 12 July 2026
Christopher Pollard: Antonio Gramsci: His Philosophy Explained Christopher Pollard (2026_07_12): Antonio Gramsci: His Philosophy Explained

My subconscious works through the night and serves up weird dreams from my past like reversing my old Mercedes for many kilometres on a dirt road in the bush trying to find non-existent service station I thought I had noticed on the way. It also, in its role as my innermost self, makes me doubt about my philosophical efforts like those rehearsed on the previous page.

It seems reasonable to see the universe as divine but is the apparently eternal proton a good starting point for the study of hegemony and politics seen through quantum mechanics by my proposal to back theory as an answer to imperialism? So look again and again, revise endlessly as I try to follow my dream of a peaceful world engineered by cognitive cosmogenesis. What happens in the mind of a proton which makes it so stable. How is this to be explained by superposition in Hilbert space and extrapolated to the world? Jeffrey Nicholls (2025): Cognitive Cosmogenesis: A systematic unification of physics and theology

[page 222]

Like a proton I must be self sourcing until I create and atomic community. So wait for a step forward and keep reading Wilczek. Is this all a forlorn hope in the face of rampant plutocracy and military violence? We must say no, cooperation is the key to survival as the cells in my body are telling me. Reality is the DNA of the world but thousands of years of abuse of this reality by institutions like the Church promising afterlives of haven and hell have twisted many minds out of sync with reality and this deception has reached an apogee in governments like Trump. Frank Wilczek (2008): The Lightness of Being: Mass, Ether, and the Unification of Forces, Rowan Hooper (2026): Togetherness: Symbiosis and the Hidden Story of Life's Greatest Collaborations

One just has to identify the feature of the world that explains its creative power and all we can say is variation and selection as the alternative to low entropy deterministic command embodied in the unbounded lust for cash.

PROPUBLICA promotes the flow of social bosons [is the Catholic Church and Abuse of Power?]. The presence of superposition in quantum mechanics gives it the power of instant and democratic communication by the linear addition of vectors [like voting in democracy] that has the effect of neutralizing processes that reduce entropy by the algorithm that the sum of opposites is zero, the sum of identities is 1. How does this sit with the relationship of real and complex numbers? PROPUBLICA: Investigative Journalism in the Public Interest

The role of “gauge theory:” is the perfect communication established by bosons cooperating with fermions to implement quantum superposition in Minkowski space which explains the “mass frame” in special relativity which is based on inertial (ie force free) motion. Since there is no force, space, time or energy in Hilbert space, it has the power of god to do anything that is not inconsistent and eliminate inconsistency by superposition. This what

[page 223]

I have been wanting to write in order to test it for truth given that the space of writing what I am thinking is in effect inertial and the totality of the sentences that I have written is a single vector, “my life’s work” (see link to Gramsci article above). Cognitive Cosmology is in effect my first ‘published’ outing in the writing space, backed up by millions of words (vector) in my ‘private’ internet space which taken as the whole internet, is a global vector representing human opinion. Gauge theory - Wikipedia, Fermion - Wikipedia, Boson - Wikipedia

Hilbert space is a voice or a sentence, or a song or a word or a sound, or a superposition of the above. It can say a universe. Hilbert space - Wikipedia

Monday 13 July 2026

We calculate the entropy necessary to define a proton (hadron) and from this and a rate of trial the number of trials necessary to define a proton in the primordial Hilbert space [estimate the probability that it] will become a real particle in Minkowski space by the acquisition of energy through the bifurcation of gravitation into positive kinetic energy and negative potential energy.

We can base this calculation of the Minkowski bandwidth of the data carried by the ‘gauge boson’ carrying the information that definers the proton, the first fixed point in the creation of the world which is selected by it combination of eternal lifetime and indestructibility.

[page 222a]

A [concrete] particle is a [formal] group. No operation can take you outside. But what about bosons and spermatozoa?

Behiel: part 2 Group theory. Richard Behiel (2025_08_08): The Strong Nuclear Force as a Gauge Theory, Part 2: Group Theory

In QCD the gauge group (communication channel) is described by the SU(3) group and associated Lie Algebra. Group generator is denoted by Ta where denotes a is index of generators: T0 identity. Other generators have determinant 0, traceless and hermitian. U(2) has 4 generators, identity plus Pauli matrices; U(3) has 9 generators, identity plus 8 Gell-Mann matrices.

In effect we are working in hermitian Hilbert space with complex vectors, complex numbers and unitary transformations.We are talking about n dimensional Hilbert space and the orthogonality of each of the vectors lies in the orthogonality if the basis states, eg U(2) has two orthogonal bases, U(3) has 3 normalized bases like 3 phase current (different amplitudes in the phases but normalized overall) and we expand to n dimensions where we have n dimensional complex matrices M with n2 components.

So far all this talk has just brought me back to the old complex Hilbert space.

[page 223b]

Here we come to normalization, ie matrix U preserves the magnitude of transformed vectors, so we can write this all out in terms of Shannon theory where an n dimensional vector [n character text] is the sum of n complex waves whose total magnitude is 1.This is the essence of matrix mechanics described by von Neumann.

Behiel 15’: Unitary matrices are a unitary group of degree n, eg Pauli matrices, Gell-Mann matrices etc which span their space?. What is the defining property of a unitary (hermitian) matrix: UU = 1. Hermitian matrix - Wikipedia

17’: Unitarity removes n2 degrees of freedom from the space of n × n complex matrices.

20’: We are transforming n dimensional complex vectors without changing their magnitude.

Special Unitary matix turns off the T0 generator. This turns off a generator which would change all the Ta - 1 generators by the same amount.

Where we are getting to is that we can do the whole of QED, QCD and electroweak underneath Minkowski space and it makes a lot more sense because in effect we are dealing with a pure logico-mathematical formalism.

30’22”: Lie Algebra, tangent of the Lie group at the identity. Lie Algebra - Wikipedia

[page 222b]

[. . .]

40’43”: Space of anti-hermitian matrices is the same as hermitian up to a facor of i. 41’55”: Space of all 2 &rimes; 2 complex valued hermitial matrices, I + Pauli matrices are orthogonal and therefore a basis for the Hilbert space that spans the Lie algebra of U(2).

42’46: N = 3, identity plus 8 Gell-Mann matrices. <.p>

45’: 8 gluons are 8D su(3), the components of the gauge theory ie in the Lie algebra of the gauge group.

[page 223b]

58’50”: su(3) octopus: body is 0 and the tentacles are orthogonal. su(3) is a space of 8 traceless orthogonal 3 × 3 hermitian matrices. Because they are orthogonal with independent values they can span a space.

[. . .]

Gluon-gluon interactions are possible because su(3) is nonAbelian.

What am I seeing here? An application of hermitian operators in a fairly simple 3D or 8D Hilbert space without ever mentioning the space but treating it more or less as a group which we might think it is. So I go to

[page 224]

Tuesday 14 July 2026

on_creation_July_2026: OC_0: Abstract. Another fanciful exploration of the potential fundamental structure of the divine universe founded on the omnipotence of the universe defined by consistency as understood by Thomas Aquinas and David Hilbert in the abstract and made concrete in Hilbert space as a superposition of a [countably] infinite spectrum of superposed waves represented by normalized complex exponentials with real exponents. We begin with creation as the increase in formal entropy made concrete by energy derived from the bifurcation of gravitation measured as the rate of action [E = hf] in both potential and kinetic domains whose sum is constrained by the fact that the primitive symmetry has zero entropy and energy.

[Here we take the quantum of action as the primitive logical [formal] operator in the universe which is realized in Minkowski space as angular momentum or spin. Since energy is a function of action and time, we must conceive as negative energy as a function of negative time, and insofar as repeated action creates equal quantities both positive (kinetic) and negative (potential energy) energy. In Minkowski space we recognize two directions of spin which might be correlated with positive and negative time like a clock going forward and backwards. Overall, however, on the macroscopic scale time goes in one direction and we may serve this as a result of the law of large numbers behaving a bit like renormalization, giving us one direction of time only. This needs work which may eventually reveal something interesting in the processes of communication and entropy increase].

These constraints are realized in the eternal indestructability of the proton, the logical image of the initial symmetry [which mimics the indestructability of the universe]. A dream to be realized in moral algebra. Is it so? Let us say that it must be in a system whose essence is to exist, the longest shot in theology. The corner into which I have painted myself: the same as the audacious positions taken by Aristotle, the Arabs and Aquinas and, I hope, the death of violent imperialism. Thomas de Aquino: De ente et essentia (Corpus Thomisticum)

Traditionally, creation is the subject of theology and it is an attributed to a preexistent, eternal, omnipotent, and omniscient being possibly independent of the world. Here we identify the world with the creator.

The heart of creation is close to communication theory, the increase in entropy being equivalent to the increase in the vocabulary of messaging, insofar as sheep have a lot more to say to each other than bacteria and the fundamental abstract message is a genotype, so we are

[page 225]

researching the genome of the proton expressed as a package of hermitian operators / genes / proteins translated by ribosomes in a manner analogous to the transformation of vectors in Hilbert space into particles. All this is in a way encapsulated in gauge theory as a language, and we can ask what is the entropy of SU(3).

Cognitive cosmogenesis is a question of linguistics.

Richard Behiel (2025_08_08a): The Strong Nuclear Force as a Gauge Theory, Part 3: The Gluon Fields Richard Behiel (2025_08_08a): The Strong Nuclear Force as a Gauge Theory, Part 3: The Gluon Fields

Part I, notes25m08d03, DB 93 Theological Genocide, page 325.

Plan is to maintain invariance of Lagrangian density ℒ under every possible SU(3) transformation [to maintain the integrity of the gauge, ie conservation of energy].

Part 1: Colour triplet field, three versions of Dirac equation ℒ = Ψ̅[μμ - m]Ψ × 3.

1’: Now we want to construct gauge field which preserves Lagrangian under every possible SU(3) transformation. In linguistic terms what we seek is a language that enables an individual to maintain their integrity in a community by understanding the local language [to deal with] local change.

Lagrangian for colour triplet field is messed up by local SU(3) transformations of the wave function Ψ. We have to add something to the Lagrangian to maintain SU(3) symmetry.

[page 226]

How does ℒ fail to have local SU(3) symmetry?

So we apply U (a field of SU(3) matrices) Ψ’ = UΨ where U(x) is a field varying across spacetime.

In other words, we want to find the underlying quantum formalism before the advent of Minkowski space brought on by giving energy to relevant fermions and bosons i.e. how the energy should be shared to deal with the Minkowski mass shell (a parallel case to the electrodynamics which explains the constancy of c in Minkowski space). We need to go back to QED to understand this via U(1). Richard Behiel: Electromagnetism as a Gauge Theory

U is a field of SU(3) matrices that varies arbitrarily through spacetime, given that we assume that Minkowski spacetime exists inside the hadron created by gluons (bosons) and quarks (fermions) – the whole business is confined in the hadron and we imagine this to be analogous to the fact that hadrons have asymptotic freedom but cannot escape from the universe [constrained by gravity] i.e. we are looking for something that holds from the size of the universe to the interior of the proton, a symmetry, i.e. the structure of the hadron may be a clue to the structure of the universe.

3’: Ψ’ = UΨ = Ψ̅’ = Ψ̅U, Δℒ =ℒ’ - ℒ. If this Δℒ > 0, ℒ does not have SU(3) symmetry.

Write this out in full and we find the change in ℒ caused by the application of SU(3) which needs to be corrected by the gluon field. We therefore have to change the Lagrangian to give a new interaction, the

[page 227]

strong nuclear force. So in effect the strong nuclear force appears when we move quantum mechanics into spacetime in the same way as EM appears (and the Maxwell equations) when we move electron (fermion) and photon (boson) into Minkowski space. Electrons and photons created Minkowski space and quarks and gluons do the same job inside the hadrons [in both cases fermions and bosons (the particles) are the actual source of the Minkowski space, which explains inertial symmetry].

All this stuff is a consequence of the demanded local U(1) or SU(3) symmetry which places constraints on the Lagrangian of bosons and fermions so that their [combined] total energy remains zero.

So zero energy gravitation implies that local potential and kinetic energy cancel out to give a constant Lagrangian. This idea might greatly simplify the quantum field theoretical treatment of physics by replacing the complex treatment of local symmetry in spacetime with a simple principle in Hilbert space quantum mechanics where there is no space and time.

i.e. we obtain quantum chromodynamics when we demand SU(3) symmetry.

7’: How do we modify the Lagrangian so that it remains the same after an SU(3) transformation. Non zero Δℒ term represents the energy change caused by applying SU(3) to Ψ.

8’30”: QCD is a fact perversion of QED using SU(3) for U(1).

9’40”: ℒQED = Dirac Lagrangian + interaction term Aμ + ℒphoton 1/4 FμνFμν

[page 228]

[. . .]

Calculations

[. . .]

45’: Essence of SU(3) symmetry is such that ℒdirac + ℒinteraction is constant [Here lies the bifurcation of gravitation into kinetic and potential].

[page 229]

What is thisG'μ = UGμU. We should expect the interaction term ℒinteraction to remain unchanged because a global SU(3) transformation is just a redefinition of our coordinate system in colour space ie a redefinition of the colour space should not affect the interaction term. This explains UU.

48’: What is ℒinteraction = -g Ψ̅γμGμΨ mathematically? γμ pertains to spin whereas Gμ pertains to colour. Quarks have 3 bispinors for each colour, ie 12 components 4 × 3 colours, Ψ̅ is Dirac adjoint of Ψ, i.e. ΨΨ on its side, takes complex conjugates and then put − on 3rd and fourth spinor components. Each γμ is a 4 × 4 matrix and where are 4 of them. They enables us to take the square root of the relativistic dispersion relation which enables us to derive the Dirac equation.

[. . .]

Calculation

[page 230]

[. . .]

Stop here, go to football.

Wednesday 15 July 2026

From the point of view of the rule of law, formal and logical discussions of the function of the universe can have a certain force if they are consistent with observation. This suggests some error in quantum field theory when it postulates fictitious infinities in the functioning of the world.

Nic Cave The Birthday Party, glimpses into another dimension we found as a ban.W really took off/A sound, a personality.Push things to the limit. Obscure literature, Naughty boy. Questioned what I was told. The Birthday Party (band) - Wikipedia

Link Ray: The Rock Prophet; Shawnee. Invented the power chord, unfettered sound, rumble a gang fight, an instrumental got banned, scaring parents. Link Ray: Rumble

Mother Roger Waters & Sinead O'Connor: Mother

Energy turns form into reality by ‘playing’ ‘executing’ it.

Thursday 16 July 2026

[page 231]

Did the weapons of the bronze age initiate imperialism?

The flaw in quantum field theory is revealed not only by its problem with infinity and the rather ad hoc solution with normalization, but also with the cosmological constant problem that arises from the zero point energy of quantum systems viewed through the lens of Minkowski space and the notion that the energy of the universe comes from quantum fluctuation which arises from a misunderstanding of the fundamentally logical nature of the quantum of action. I am pleased to see that my notion that energy arises from the bifurcation of zero energy gravitation into kinetic and potential energy appears to be supported by the gauge theoretical idea that the conservation of energy is not complete in the matter particles described by the Dirac fermions but needs the help of the potential energy embodied in the bosons to balance the book

This is particularly obvious in chromodynamics where the potential energy contributed by the strong force seems to completely offset the kinetic energy in the fermions to maintain the zero value of the Lagrangian measured in Minkowski space to bring the total energy of the universe to zero. I am beginning to glimpse a mathematical path to this conclusion in Behiel’s explanation of the strong nuclear force as a gauge theory implicit in the first few minutes of Part III The Gluon Fields in which he explains the deficit of the Dirac Lagrangian with respect to the application of SU(3) symmetry implicit in the gluon fields. My next steps then, are to review parts IV and V of his development of the strong force with respect to the Dirac Lagrangian. With this

[page 232]

in hand I may be in a position to write a mathematically and logically infused article on creation which will implement my notion that the universe fulfills the requirements of Hilbert’s formalism and Aquinas’s omnipotence with respect to the divinity of the universe. This insight justifies my decision not to visit the AUKUS inquiry run by Peter Garret. Peter Garrett (2026_06_02): An independent public Inquiry into the AUKUS security partnership

Part 4: The Field Strength Tensor. This tensor provides a numerical estimate of the energy of the strong force field. Richard Behiel (2025_08_09): Part 4: The Field Strength Tensor

0’30’’: This part is very mathematical, showing how the strong nuclear force blossoms from sU(3) symmetry, i.e. SU(3) → QCD.

In Part III we derived the gauge field that gives a Lagrangian with SU(3) symmetry, but this Lagrangian does not give Gμ a life of its own.

The story so far. [. . .] The Dirac Lagrangian depends entirely on Ψ = C 3, the interaction term depends on Ψ and Gμ, ie there should be energy (I say potential) associated with the actual real gauge field.

We can now understand how to repeat this exercise with the EM and weak fields. And we conclude that gravitation is a ‘pseudo’ gauge field because there is no real distinction between the ‘matter’ and the ‘field’!

[page 233]

ΨΨ* = |Ψ|2 = probability, a real number so squaring is a little hermitian operator bringing the quantum world into a stripped down probability (same entropy) into the real world. Probability is all that’s left of QM when we strip it down to real and communication is a matter of real symbols and their probabilities [as Shannon realized].

All the time in QM we are depending on Ψ without really knowing what it is, assuming that it is written on Minkowski space which deprives it of the degree of freedom it enjoys by being nowhere in no time but we treat it always as a perioic complex number represented as a wave Ψ = α|0⟩ + β|1⟩ where α and β are complex numbers which can only take the values 0 and 1 in Minkowski space. Nevertheless, given the assumed equation Ψ and the translation E = ω we can work out the consequences of construction of energy in Minkowski space with a little bit of uncertainty embedded in the energy because ℏ is an integer and ω is complex giving us the necessary uncertainty to get the Lamb shift, all of which amount ½ ℏ. This uncertainty is in the field strength tensor.

0’0”: Fμν

We are talking about the force that is the potential that guides the matter, bosons guiding fermions. bosons are real gauge field, with energy. How to we bring Gμ to real life? Let Gμ have energy in any way it can.

[page 234]

2’: The field must also honour SU(3) symmetry - “fit the group”. So we need to find F = F’ = UFU where U is the hermitian conjugate of U, i.e. UU = 1 when Gμ → G'μ = UGμU + 1/g(μU)U

Two pages of calculations [. . .]

[page 235]

[. . .]

Friday 17 July 2026

Complex calculation reaches desired conclusion, ie that the boson

[page 236]

‘field’ is the negative of the fermion field and we can go ahead with the idea that the zero energy of the universe comprises the ‘positive’ energy of fermions plus the negative energy of bosons. This and a modification of the zero point energy ½ℏω takes care of the cosmological constant problem and now I need to listen to part 5 of Behiel. Richard Behiel (2025_08_21): The Strong Nuclear Force as a Gauge Theory, Part 5: The QCD Lagrangian

0’: Put together the whole L of QCD + related topics CT problem, gluon gluon interactions, colour confinement and comparison of strong and EM and gauge theories in general.

1’: Field strength tensor rank 2 encodes how gauge field contains energy. [. . .]

3’05”: Field strength tensor rank 2 in spacetime. Components of tensor are Lie algebra valued objects which means in QCD they are SU(3) matrices.

3’40”: But in L we need real scalars.

4’20”: Need Lorentz invariant, gauge invariant, ideally kinetic = quadratic in fields and derivatives.

5’34”: So crib from EM: EM ⇄ Strong, U(1) ⇄ SU(3).

6’24”: ℒphoton = 1/4 FμνFμν in natural units. [. . .]

7’4”: In QCD Fμν undergoes adjoint transformation UU

[page 237]

Calculation [. . .]

16’38”: give gauge field a life of its own, ie make it into real particles analogous to photons. [. . .]

19’50”: Full QCD Lagrangian contains Dirac kinetic and mass energy of quark field, interaction terms describes matter field and guage field and finally the energy in the gluon fields:
QCD = Ψ̅[μμ − m]Ψ - gΨγμGμ - 1/4FμνaFaμν

[page 238]

20’15”: Strong CP problem and θ term in ℒ.

(calculation) [. . .]

32’: Gluon gluon interactions are the cause of colour confinement.

32’31”: Gluons sticky causing tubes which tend to pull together between quarks like springs confining quarks into a colour neutral state.

33’25”: High energies create new quark-antiquark pairs out of the vacuum.

34’: Quark colour does not emerge on the macroscopic scale [so is it real or just a way around the spin ststistics “theorem”?]

34’30”: No phpton photon interactions. Does the mathematics explain the behaciour or the behaviour explain the mathematics?

35’: No proof, beginning from ℒQCD that colour confinement is inevitable.

[page 239]

36’: Lattice QCD suggests that this is the case. Confinement ≡ SU(3) [. . .]

52’50”: Your mass is accounted for by the energy in protons, 99% of your mass is QCD energy - we are SU(3) symmetry.

So, where does this leave the project to make quantum mechanics fundamental? In good shape. We have variation in the creation of Hilbert space and selection in the ability of quantum forces to trigger the split of gravitation into equal part of kinetic and potential energy maintaining the zero energy of the universe and the conservation of energy [good for theology] and defining the properties of the Lagrangian in Minkowski space by setting T − V to zero. This is consistent with the idea of gauge theory where there is a balance established between the mass energy and communication energy [a strong argument for the network model]. It looks like there is a future, a viable system of variation and selection to be written into L4L.

Here also I expect to find support for my opinion of quantum intellignce and the sharing of energy to just realization of the formal properties exploited by variation in the Hilbert space, imagining that this sharing (viewed in Minkowski space) operates with a tolerance of ± ½ℏω due to the measure of the quantum of angular momentum observed in fermions, as opposed to the precision observed in integral spin bosons.

Saturday 18 July 2026

One point of making Hilbert space primordial is that it may be that all the little tweaks like the Lamb shift that are currently managed in field theory by generation after generation of Feynman diagrams may actually be built into the details of Hilbert space at the level of single quanta of action uncertainty in the bifurcation of gravitation that inserts uncertainty into the measurements we make in Minkowski space represented by the relationship ΔE.Δt ≈ Δp.Δx ≈ ℏ. This in a way fits the role of energy in realzing formalism by processing it sequentially one quantum of action at a time just like the clock cycle in a classical Turing type machine. I.e. in other words the relationship between energy and time is built into the quantum of action. Since listening to Behiel my scheme for <.p>

[page 236]

the universe on the random generation and quantum selection of Hilbert space seems to be coming alive, ie the universe is alive both psychologically (theologically) and energetically (physically, really) and the boundless intelligence is hidden in the eigenvalue question that used hermitian operators to boil the complexity of complex numbers down to real numbers [the variety here is enormous, even given that the complex number a + bi has infinite variety even if a is an integer (as we see in actual observations) there is enormous variety if b is real.

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Further reading

Books

Hooper (2026), Rowan, Togetherness: Symbiosis and the Hidden Story of Life's Greatest Collaborations, Fern Press 2025 ' From evolution to capitalism, 'survival of the fittest' has shaped our view of the world. But we got it wrong - and our mistake has brought us to the brink. For the history of life on Earth is much more than a story of competition. The natural world has been forged and sustained by small miracles of co-operation between animals and plants, insects and fungi, fish and bacteria - these partnerships are ubiquitous, lifelong and are an essential guide for a better future. In Togetherness, Rowan Hooper reveals the intimate connectedness of nature through these remarkable stories of symbiosis. From the female wasp venturing deep inside a fig and the intricate relationship between corals and the algae that sustain them to the symbiotic gut microbes that influence our moods, he explores how co-operation is fundamental to life itself and to protecting our shared future.' 
Amazon
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Nicholls (2025), Jeffrey, Cognitive Cosmogenesis: A systematic unification 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

Wilczek (2008), Frank, The Lightness of Being: Mass, Ether, and the Unification of Forces, Basic Books 2008 ' In this excursion to the outer limits of particle physics, Wilczek explores what quarks and gluons, which compose protons and neutrons, reveal about the manifestation of mass and gravity. A corecipient of the 2004 Nobel Prize in Physics, Wilczek knows what he’s writing about; the question is, will general science readers? Happily, they know what the strong interaction is (the forces that bind the nucleus), and in Wilczek, they have a jovial guide who adheres to trade publishing’s belief that a successful physics title will not include too many equations. Despite this injunction (against which he lightly protests), Wilczek delivers an approachable verbal picture of what quarks and gluons are doing inside a proton that gives rise to mass and, hence, gravity. Casting the light-speed lives of quarks against “the Grid,” Wilczek’s term for the vacuum that theoretically seethes with quantum activity, Wilczek exudes a contagious excitement for discovery. A near-obligatory acquisition for circulating physics collections.' --Gilbert Taylor  
Amazon
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Links

Adam Cruise, Iris Ho, Ole J Liodden, Abraham Joffe (director), Trade Secret: The Polar Bear Market, Director’s Statement:
It was during an Arctic trip in 2013 that I first heard about the legal international trade in polar bear skins. I was shocked - not only that it existed, but that so few people, even within conservation, seemed to know. The polar bear is arguably the most symbolic species of our time - how could their commodification be quietly sanctioned by law?
The idea stuck with me for years. But it wasn’t until I met Ole, Iris, and Adam - each on their own path to protect polar bears - that the story really came into focus. It was no longer just about the existence of the trade - it was about complicity. About systems. About what happens when conservation becomes a cover for commerce.
What began as a quiet investigation grew into a six-year journey across nine countries, uncovering a trade more extensive and protected than I could have imagined. One of the most jarring revelations came when Ole discovered that his own country, Norway - where polar bear hunting has been banned for nearly 50 years - was the second-largest importer of polar bear skins in the world. That contradiction became a turning point, both for him and for the direction of the film.
We worked hard to gain access to closed-door policy summits, trophy hunting conventions, fur auction houses, and hidden salesrooms. What we documented was a world few have ever seen - and one I suspect many will struggle to believe. What we uncovered wasn’t happening in rogue states - it was happening in countries celebrated for their environmental leadership.
It’s this contradiction that sits at the heart of Trade Secret.
At its core, this is not just a film about polar bears. It’s about what happens when trust in environmental institutions begins to erode - when policies are manipulated, and when sustainability becomes a shield for exploitation. It’s about the uneasy truth that the biggest threats to nature don’t always come from poachers or black-market traders - but from those enabling the continuation of so-called “sustainable use.”
We knew the subject would be confronting - but we didn’t set out to make a controversial film. The revelations came slowly, in documents, interviews, and hard-won conversations. From the start, we felt a responsibility to let the evidence guide the film - not the other way around.
I remain in awe of Adam, Iris, and Ole - their clarity, courage, and refusal to look away. My hope is that their determination inspires others to take on missions of their own. Because I think real change rarely starts with institutions - it starts with individuals.
While the polar bear is at the centre of this story, Trade Secret aims to spark urgent conversations about how vulnerable species are being left exposed - at a time when they need every possible protection.
Abraham Joffe Director Trade Secret back

Alex Lo (2026_07_14), Why is a Trump commission attacking Nietzsche, Foucault and Sartre?, ' In May last year, US President Donald Trump established the Religious Liberty Commission. Last month, timed to coincide with the 250th anniversary of the United States’ founding, it released a 224-page draft report titled, “Americans’ First Freedom”.
I gather the current government and its key support base, the religious right, consider American society too secularised – to such an extent that it amounts to systemic religious discrimination.
That’s what the commission is tasked with rectifying. The report advocates a different understanding of the separation of church and state, and it makes various proposals to reverse entrenched secularisation in education, government, the military, employment and public healthcare. It also suggests setting up hotlines to rat out people in positions of authority who “discriminate” against people’s religious liberty.
Whether the US becomes a Christian theocracy, democracy or autocracy is none of my business. But as a lifelong student of philosophy, I do find it intriguing that the commission singles out Friedrich Nietzsche, Michel Foucault and Jean-Paul Sartre to blame for the secular corruption of American society. That’s rich coming from Trump and his allies in the religious right.
On page 41, under “Building Walls of Separation between Church and State”, the report says: “In the 1900s, however, a new philosophy emerged in Europe, which laid the intellectual foundations for threats to American religious liberty which persist even today. Friedrich Nietzsche, Michel Foucault, Jean-Paul Sartre and others famously embraced the belief that ‘God is dead’, rejecting God and dismissing ideals of objective truth and morality as simply pretences used to gain power.” [. . .]
Trump is not so much a liar as he is what the late US philosopher Harry Frankfurt calls a bullsh***er: someone who doesn’t care if what he says is true or not, or what the consequences of his actions are.
“He is not motivated by what motivates other politicians,” said his bestselling biographer Michael Wolff in a recent Daily Beast podcast. “He doesn’t really care about policy. He doesn’t really have an agenda. He doesn’t really think about his legacy. He thinks about whatever random thought comes into his head … He’s always throwing out numbers that have no meaning. He’s always setting deadlines that are subject to extension.”
You can’t get any more post-truth or postmodern than that.' back

Boson - Wikipedia, Boson - Wikipedia, the free encyclopedia, 'In particle physics, bosons are particles with an integer spin, as opposed to fermions which have half-integer spin. From a behaviour point of view, fermions are particles that obey the Fermi-Dirac statistics while bosons are particles that obey the Bose-Einstein statistics. They may be either elementary, like the photon, or composite, as mesons. All force carrier particles are bosons. They are named after Satyendra Nath Bose. In contrast to fermions, several bosons can occupy the same quantum state. Thus, bosons with the same energy can occupy the same place in space.' back

Christopher Pollard (2026_07_12), Antonio Gramsci: His Philosophy Explained, 'Marxist, journalist, political leader and social theorist Antonio Gramsci (1891-1937) was a small, disabled, chronically ill man from a poverty-stricken Sardinian background. He was also someone about whom the Italian fascist state famously declared: “We must prevent this brain from functioning for twenty years.”
Gramsci was arrested and imprisoned in 1926 at the age of 35, ten years before Benito Mussolini declared his empire in Africa. During concentrated periods, in which he was allowed pen and paper in his cell, he wrote copious notes in 33 school exercise books. Gramsci recorded his thoughts on theory and strategy, ranging across history, politics, philosophy and culture.
These writings would become his major work, the Prison Notebooks (Quaderni del carcere). In the words of political theorist John Schwarzmantel, the “fundamentally political text” of the Prison Notebooks examines “the forces acting to preserve and to change the nature of a political and social order”.[. . .]
The young Gramsci, impressed by the Turin working-class movement, joined the Italian Socialist Party in 1913. After the first world war, he became co‐founder and editor of the influential newspaper L’ordine nuovo (The New Order), where he published polemics urging workers to educate themselves, organise and form an alliance with the peasants.
Over half a million Italians were killed in the brutal combat of the Great War. Deep dismay at these losses and the inspiration of the Russian revolution of October 1917 converged in the view that a “new order” was indeed being born.
Gramsci played a leading role in the wave of strikes and occupations of the Fiat car factories in Turin, which took place during the Biennio Rosso (the “two red years”) of 1919–20. In 1921, a new Italian communist party was formed: the Partito Comunista Italiano. Gramsci became a member of the Central Committee.
Tumultuous political upheaval was followed by fascist reaction. Mussolini seized power in 1922. “The industrialists had lost their faith in the ‘liberal state’ and had become receptive to political expedients of quite a different order,” historian John McKay Cammett observed. “The hour of fascism was at hand. [. . .]
A key innovation was his theory of “hegemony”, described by Marx scholar David McLellan as “one of the most important, if elusive, concepts in contemporary social theory”.
“Hegemony” is derived from the Greek verb meaning “to lead”. Gramsci used it to refer to the way a politically dominant class maintains its ruling position not simply by force, or the threat of force, but also by consent. A class that uses open or veiled coercion through state power to impose its will, he observed, can be said merely to “dominate” other social groups; it becomes “hegemonic” when it also provides “intellectual and moral leadership” over allied groups in civil society.
Gramsci argued that the education system, the news and popular media, literature and the arts, trade unions, churches and intellectuals all play vital roles in shaping people’s perceptions and understanding. Since the battle for power takes place, in part, outside the political system, would-be revolutionary parties needed to overcome the sources of hegemonic power within civil society. ' back

David Remnick, Atul Gawande (2026_07_12), The Human Cost of DOGE’s War on U.S.A.I.D., ' Atul Gawande, who was a leading administrator at U.S.A.I.D. until the Trump Administration’s DOGE initiative, led by Elon Musk, set about defunding and destroying the agency, is a surgeon and a longtime New Yorker contributor. In our latest conversation for The New Yorker Radio Hour, Gawande uses Rhodes’s concept to help describe the colossal human cost that Musk and DOGE have exacted on the world. Gawande, backed up by recent academic studies, says that the decimation of U.S.A.I.D. around the globe has been responsible for some seven hundred thousand deaths, and that number will likely ascend into the seven figures. The policy is not only immeasurably cruel, Gawande argues; it is also stupid, badly undermining what remains of American soft power and prestige, from Africa to Latin America. Our conversation has been edited for clarity and length. back

Dear You (film) - Wikipedia, Dear You (film) - Wikipedia, the free encclopedia, 'Dear You (simplified Chinese: 给阿嬷的情书; traditional Chinese: 給阿嬤的情書) is a 2026 Chinese family drama film directed and co-written by Lan Hongchun. It stars a largely non-professional cast featuring Li Sitong, Wang Yantong, Wu Shaoqing, Zheng Runqi and Wang Xiaohui, alongside Thai actress Usha Seamkhum.
The film is primarily in Teochew, spoken in the Chaoshan region of eastern Guangdong. It also employs qiaopi, specifically the Teochew letters, as a narrative thread to tell the story of a young man who travels to Thailand to track down his long-lost grandfather, only to uncover a decades-old secret involving a stranger.
Dear You premiered in Shantou on April 17, 2026. It was released by Damai Entertainment in select regions of China on April 30, followed by a nationwide theatrical release on May 3. Made on a modest budget of ¥14 million, the film became a massive sleeper hit, grossing over ¥1.9 billion at the domestic box office. The film's Mandarin release in Singapore raised some controversy and sparked a public and parliamentary discussion about the Speak Mandarin Campaign.' back

Elsabeth Pain (2026_07_16), Spain’s largest research body confronts its dark past, 'Spanish National Research Council has published the stories of some 500 staff purged under Francisco Franco’s dictatorship.
In February 1937, evolutionary biologist J.B.S. Haldane published a letter commending his colleagues at the National Museum of Natural Sciences in Madrid for their resilience during the raging civil war. He singled out Antonio de Zulueta y Escolano, the museum’s director and a leading Spanish figure in the nascent field of experimental genetics. “In the intervals of hiding the more precious contents of the biological museum in cellars,” Haldane wrote, Zulueta “was continuing his work on the polymorphic beetle Phytodecta variabilis.”
But, when Francisco Franco took power in 1939, Zulueta’s career was abruptly derailed. His family’s political ties with the defeated Republican government and his translations of books such as Charles Darwin’s The Origin of Species probably contributed to him being immediately removed as museum director, says his great-granddaughter, Concepción Cortés Zulueta. “All this knowledge … was considered dangerous and degenerate” under Franco’s fascist government. The scientist recovered his laboratory teaching position 2 years later, but his research career never took off again.
Zulueta is one of hundreds of researchers, professors, and support staff whose tragic stories were released to the public this month by the Spanish National Research Council (CSIC), the country’s largest public research institution, under a 2022 law that called for greater recognition of all the victims of the civil war and Francoist dictatorship. All had been affiliated with the Board for the Advancement of Studies and Scientific Research (JAE), CSIC’s precursor. JAE was dissolved by Franco toward the end of the war and replaced with CSIC to promote the new government’s ideologies.' back

Fermion - Wikipedia, Fermion - Wikipedia, the free encyclopedia, 'In particle physics, fermions are particles with a half-integer spin, such as protons and electrons. They obey the Fermi-Dirac statistics and are named after Enrico Fermi. In the Standard Model there are two types of elementary fermions: quarks and leptons. . . . In contrast to bosons, only one fermion can occupy a quantum state at a given time (they obey the Pauli Exclusion Principle). Thus, if more than one fermion occupies the same place in space, the properties of each fermion (e.g. its spin) must be different from the rest. Therefore fermions are usually related with matter while bosons are related with radiation, though the separation between the two is not clear in quantum physics. back

Gauge theory - Wikipedia, Gauge theory - Wikipedia, the free encyclopedia, ' In physics, a gauge theory is a type of field theory in which the Lagrangian does not change (is invariant) under local transformations from certain Lie groups. The term gauge refers to any specific mathematical formalism to regulate redundant degrees of freedom in the Lagrangian. The transformations between possible gauges, called gauge transformations, form a Lie group—referred to as the symmetry group or the gauge group of the theory. Associated with any Lie group is the Lie algebra of group generators. For each group generator there necessarily arises a corresponding field (usually a vector field) called the gauge field. Gauge fields are included in the Lagrangian to ensure its invariance under the local group transformations (called gauge invariance). When such a theory is quantized, the quanta of the gauge fields are called gauge bosons. If the symmetry group is non-commutative, then the gauge theory is referred to as non-abelian gauge theory, the usual example being the Yang–Mills theory.' back

H. Holden Thorp (2026_07_16), AI in scientific publishing: Slower, worse, and more expensive, back

Hannah Ellis-Petersen (2026_07_18), ‘A revolutionary act to watch it’: the film India’s censors do not want you to see, ' Director Honey Trehan decries ‘dystopian’ opposition to his film depicting crackdown on Punjab’s separatist movement.
For as long as he has been a film-maker, there is one story Honey Trehan has wanted to tell above all.
Growing up in the Indian state of Punjab, Trehan saw firsthand the devastation wrought by police who carried out tens of thousands of killings and illegal cremations in the 1990s, as they cracked down on a separatist insurgency. To those in Punjab, the period remains one of the darkest in India’s modern history. Jaswant Singh Khalra, the activist who exposed the crimes and was murdered in the process, is a national hero.
By 2022, Trehan’s movie about Khalra and the crimes of Punjab police was completed under the title Ghallughara – a reference to a historical massacre of Sikhs – but the film would never reach Indian cinemas.
For more than three years, India’s film censorship board, which must approve all cinematic releases, blocked the film from release. When it was finally launched straight to a streaming platform last week, under a new title, Satluj, it was taken down within 48 hours and banned on government orders as a threat to national security.
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Hermitian matrix - Wikipedia, Hermitian matrix - Wikipedia, the free encyclopedia, ' In mathematics, a Hermitian matrix (or self-adjoint matrix) is a complex square matrix that is equal to its own conjugate transpose—that is, the element in the i-th row and j-th column is equal to the complex conjugate of the element in the j-th row and i-th column, for all indices i and j . . .. Hermitian matrices can be understood as the complex extension of real symmetric matrices. . .. Hermitian matrices are named after Charles Hermite, who demonstrated in 1855 that matrices of this form share a property with real symmetric matrices of always having real eigenvalues. Other, equivalent notations in common use are A = AH = A = A although in quantum mechanics Atypically means the complex conjugate only, and not the conjugate transpose.' back

Hilbert space - Wikipedia, Hilbert space - Wikipedia, the free encyclopedia, ' In mathematics, Hilbert spaces (named after David Hilbert) allow the methods of linear algebra and calculus to be generalized from (finite-dimensional) Euclidean vector spaces to spaces that may be infinite-dimensional. Hilbert spaces arise naturally and frequently in mathematics and physics, typically as function spaces. Formally, a Hilbert space is a vector space equipped with an inner product that induces a distance function for which the space is a complete metric space. A Hilbert space is a special case of a Banach space. ' back

John Brewer, Link Wray: The Rock Prophet, ' The Rock Prophet is the best kept secret of Rock N Roll, and only rock's mighty heroes know about Link Wray and his infamous three chords; an unlikely figure responsible for the birth of Rock N Roll. back

Lie Algebra - Wikipedia, Lie Algebra - Wikipedia, the free encyclopedia, ' In more detail: for any Lie group, the multiplication operation near the identity element 1 is commutative to first order. In other words, every Lie group G is (to first order) approximately a real vector space, namely the tangent space g to G at the identity. To second order, the group operation may be non-commutative, and the second-order terms describing the non-commutativity of G near the identity give g the structure of a Lie algebra. It is a remarkable fact that these second-order terms (the Lie algebra) completely determine the group structure of G near the identity. They even determine G globally, up to covering spaces. In physics, Lie groups appear as symmetry groups of physical systems, and their Lie algebras (tangent vectors near the identity) may be thought of as infinitesimal symmetry motions. Thus Lie algebras and their representations are used extensively in physics, notably in quantum mechanics and particle physics. ' back

Link Ray, Rumble, ' Witness the raw power of the single most influential instrumental in rock history! This menacing live performance of "Rumble" by the legendary Link Wray was recorded on November 16, 1974, at the historic Winterland Ballroom in San Francisco, CA.
Originally released in 1958, "Rumble" introduced the world to the distorted, overdriven sound of the power chord, forever changing the DNA of rock and roll. This 1974 performance captures Link Wray decades into his career, still delivering that signature, menacing tone that influenced everyone from The Who to Jimmy Page and Neil Young.
The Performance & Musical Impact: The Tone: Even in 1974, Link Wray’s live setup (often using custom-built amps with holes stabbed in the speaker cones) prioritized distortion, volume, and raw attitude. This performance captures the gritty, rebellious essence that defined the song.
The Revolution: "Rumble" is famous for being one of the only instrumentals ever banned on American radio upon its release, simply because the title and the sound were deemed too threatening and suggestive of juvenile delinquency.
The Legacy: This performance showcases the genesis of garage rock, punk, and hard rock. Link Wray didn’t just play chords; he used feedback and tremolo as aggressive musical tools, a technique perfectly displayed here.
Winterland '78 & Link Wray Facts: The Venue: The Winterland Ballroom was a legendary SF venue operated by promoter Bill Graham. This concert captures the intimate, high-energy atmosphere that made the venue a favorite for capturing definitive live recordings of guitar legends.
The Man: Born in North Carolina, Link Wray (of Shawnee heritage) was a true maverick, continuing to perform with the same fiery, uncompromising spirit displayed in this 1974 footage until his death in 2005.
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Mark A. Gregory (2026_07_14), What is mobile domestic roaming? Here’s why Australia needs this policy, ' Share article Print article Telstra’s national mobile network outage last week was one of the worst incidents of its kind in living memory.
More than 600 calls to Triple Zero were not connected, putting lives at risk. Public transport services in New South Wales and Victoria collapsed, causing commuter chaos. And businesses, especially small to medium ones, may have lost millions in revenue.
Making matters worse, Telstra had been warned about the need to ensure that “single point of failure” problems did not cause cascading core network outages.
Now, the Australian Consumer Communications Action Network (ACCAN) is calling for the federal government to introduce mandatory domestic mobile roaming.
But what exactly is domestic mobile roaming? And could it help prevent some of the problems caused by a major outage like the one Telstra experienced last week?
Domestic mobile roaming is the ability for your mobile phone to automatically connect to mobile infrastructure that provides the strongest connection – no matter which company you pay your bills to.[. . .]
Domestic roaming could reduce the disruption – including to Triple Zero services – caused by an outage on one mobile network. Depending on the implementation strategy, it would enable people’s phones to seamlessly connect to a competitor’s network.
It would also help ensure there is greater visibility and greater scrutiny of telecommunications infrastructure, as it would be shared between competitors.
This could potentially reduce the risk of companies using obsolete or outdated equipment. In turn, this would strengthen the resilience of the broader network and reduce the risk of a major outage.
Mobile domestic roaming could also prompt mobile network providers to focus on other sources of competitive advantage, beyond network coverage. This could include improving their overall performance and offering additional perks such as partnerships with streaming companies. Consumers would be the main beneficiaries of this.
Australia is a large nation that already subsidises the deployment of mobile infrastructure in regional and remote areas.
Any mobile carrier that argues it is entitled to subsidies if domestic mobile roaming is mandated should be reminded of the more than $1 billion in subsidies that have been provided to the carriers over the past couple of decades through the Mobile Black Spot Program and other programs run by the federal and state governments.
All of this shows that the Australian government should act now to mandate domestic roaming.' back

Peter Garrett (2026_06_02), An independent public Inquiry into the AUKUS security partnership, ' The AUKUS deal was conceived in secret and with deception — and continues to be shrouded in secrecy despite the incredibly high stakes and massive cost. Our government has already spent $10 billion of our taxes on US and UK shipyards at a time when much of the world is in conflict and Australians are suffering from a cost-of-living crisis.
A group of former MPs, retired military and naval officers, leading strategists and academics, human rights lawyers and union leaders are committing to an independent Public Inquiry into AUKUS. This Inquiry is coordinated by the Australian Peace and Security Forum (APSF) — ensuring it is grounded in expertise, independence, and a commitment to serious evidence-based examination. back

Peter Greste (2026_07_16), It’s the ABC’s job to be accurate and fair, not to chase the dangerous fallacy of ‘balance’, 'One of the oldest tropes in journalism is that it should be balanced; that journalists have a responsibility to present all sides of a given issue with equal weight. This view also holds that appearing to be critical of one side and sympathetic to another amounts to “bias”.
That notion of balance sounds ideal. After all, journalists should be neutral observers who favour nobody, so if anybody feels as though their side is not presented with equal measure, the journalist has somehow failed.
That failure was what Jillian Segal accused the ABC of in her evidence to the Royal Commission into Antisemitism and Social Cohesion last week. In her evidence, the antisemitism envoy lamented that the ABC’s reporting on Gaza “created an impression of great negativity about Israel”.
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Philip C. Almond (2026_07_15), ‘Philistine’ is a byword for boorish ignorance – but the real Philistines were cultured. Who were they?, ' In modern times, the term “philistine” has generally been used by cultured or elite groups to describe an ignorant or uncultured person.
The Philistines were, in fact, people from the Aegean region, perhaps Crete. They arrived on the shores of the south-eastern Mediterranean around 1200 BC, in an area later to be called Palestine.
A cultured people, they were specialists in iron-making, advanced weaponry, olive oil, beer and wine production and a distinctive style of pottery.
So how did they come to be associated with poor taste and ignorance? In ancient times, Philistia or the Land of the Philistines, extended from the city-state of Ashdod in the north to that of Gaza in the south, but with no fixed border to the east. Within this area were the three other principal cities of the Philistines – Ascalon (Ashkelon), Gath and Ekron. [. . .]
In the Old Testament, the Philistines were depicted as “the other” – the barbarians literally on the border of their Israelite neighbours. Yet the Philistines were the dominant economic, military and political force in the region for most of this time.[. . .]
The term “philistine” became something of a commonplace insult in the 19th century after it was adopted by the English cultural critic Matthew Arnold.
In his 1867 book Culture and Anarchy, Arnold contrasted the elite, cultured few with the consumerist philistines of the middle class:
On the side of beauty and taste, vulgarity; on the side of morals and feeling, coarseness; on the side of mind and spirit, unintelligence, – this is Philistinism.
Arnold’s understanding of the term has flowed into the present day. That said, some people are now questioning its use, given what we now know about the civilisation of the Philistines.
Nevertheless, the dictionary definition of “philistines” as those who neither care about nor understand good art, music, or literature remains predominant.' back

PROPUBLICA, Investigative Journalism in the Public Interest, Thee Mission: To expose abuses of power and betrayals of the public trust by government, business, and other institutions, using the moral force of investigative journalism to spur reform through the sustained spotlighting of wrongdoing.
ProPublica is an independent, nonprofit newsroom that produces investigative journalism with moral force. We dig deep into important issues, shining a light on abuses of power and betrayals of public trust — and we stick with those issues as long as it takes to hold power to account.
With a team of more than 150 dedicated journalists, ProPublica covers a range of topics including government and politics, business, criminal justice, the environment, education, health care, immigration, and technology. We focus on stories with the potential to spur real-world impact. Among other positive changes, our reporting has contributed to the passage of new laws; reversals of harmful policies and practices; and accountability for leaders at local, state and national levels.' 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

Richard Behiel (2025_08_08), The Strong Nuclear Force as a Gauge Theory, Part 2: Group Theory , ' Hey everyone, today we'll be talking about the group theory involved with quantum chromodynamics, not just SU(3) and su(3), but also U(N) and u(N) in general. This will give us the ideas and vocabulary we'll need, to explore how local SU(3) symmetry blossoms into the strong force. back

Richard Behiel (2025_08_08a), The Strong Nuclear Force as a Gauge Theory, Part 3: The Gluon Fields , ' Hey everyone, today we'll be deriving a gauge field, which will equip our lagrangian with local SU(3) symmetry. We'll go through each of the logical steps to prove that the four spacetime components of the gauge field must live in su(3), the Lie algebra of SU(3). Then, because G_mu lives in su(3), we'll see how we can write it in terms of eight real-valued four-vector fields, the gluon fields! back

Richard Behiel (2025_08_09), The Strong Nuclear Force as a Gauge Theory, Part 4: The Field Strength Tensor, ' In this part, we derive the field strength tensor from scratch, letting it emerge naturally from local SU(3) symmetry. It contains the color-electric and color-magnetic fields, basically eight versions of the electric and magnetic fields. This is the most mathematically intense video in the series, as we dive deep into the algebra. But it's worth it, because you'll see exactly why the field strength tensor takes the form it does, and how it all traces back to symmetry. When you see that for yourself, it gives you a sense of ownership over the subject. You don't have to take anyone's word for it, because you can just see that that's how it is.' back

Richard Behiel (2025_08_21), The Strong Nuclear Force as a Gauge Theory, Part 5: The QCD Lagrangian, ' 0:00 Intro, Field Strength Tensor Review 5:18 The Gluon Part of the QCD Lagrangian 14:43 Summary of the Main QCD Equations 21:21 The Strong CP Problem 26:43 Gluon-Gluon Interactions 32:06 Color Confinement 36:07 Running of the Strong Coupling Constant 41:32 Gauge Theory, Comparison of QED & QCD 46:37 A Surreal Meditation' back

Richard Behiel (2026_07), Complex Numbers in Quantum Mechanics , ' A brief introduction to the use of complex numbers in quantum mechanics. This video is intended mostly for people who are learning quantum mechanics and have some familiarity with things like the quantum harmonic oscillator, or the hydrogen atom, but might have some confusion around what all the complex numbers are all about. I hope this video provides you with an improved sense of familiarity with the complex numbers. These things are cool. They take a bit of getting used to, but they're cool. My main goal in this video is to make the complex numbers feel as natural and accessible as possible, so I emphasize the perspective that the complex phase can be thought of as a generalization of positivity and negativity, and in particular that the phase oscillates between two poles (which I half-jokingly refer to as yin and yang). This approach, though real-part-biased, is motivated by the observation that the interference of two waves of the same frequency (constructive, destructive, and everything in between) provides a natural picture for one of the things the phase of a complex number might mean. I hope that helps to demystify how complex numbers are not an entirely absurd concept, because a stumbling block for many people, myself included for a while, is that the complex numbers seem too unrealistic for human intuition to sincerely glom on to. But, as I hope this video shows, the complex numbers can be made intuitive. It should be noted, however, that the story does not end here. Once you are familiar with the complex numbers, you should stretch your mind out again by regarding the complex numbers as equipping a model with a circular degree of freedom. In particular, you can imagine a wavefunction as a section of a fiber bundle whose base is spacetime, whose fibers are circles of mysterious origin, and whose total space is some fragment of this thing we call reality. That should keep you up at night! I should also add that the "U(1) Symmetry implies Electromagnetism" argument may well be completely backwards. It is true that, if one takes the Dirac field with minimal coupling to the photon field, and imposes local U(1) symmetry by fiat, then all the beauty of classical electromagnetism follows. But one can easily argue that such an imposition is contrived, and more indicative of a redundancy of our model than a genuine symmetry of physics. That argument is strengthened in light of Wigner's classification, pun proudly intended, since if we take the masslessness of the photon as our starting point, then the photon can only have helicity eigenvalues of +-1, not 0 (the photon has no rest frame), and therefore one must remove any physical contributions coming from longitudinal photon modes, since they cannot exist. This fictionalization of the longitudinal modes yields precisely the usual gauge symmetry of the four-potential (or so I am told... still need to work out for myself why this is true), and once you have the gauge symmetry of the four-potential, then your Dirac field better have local U(1) symmetry if you want to preserve minimal coupling! Anyway, whichever direction of the argument is more true, it is still a beautiful idea that local U(1) symmetry of the Dirac field, and the usual gauge symmetry of A, and the masslessness of the photon are, for all intents and purposes, the same thing. It is still an open philosophical question as to whether all this symmetry and gauge freedom is a genuine reflection of natural symmetry, or of mere theoretical redundancy; that question boils down to whether the transformations involved are active or passive, respectively, and that quickly gets into some murky existential territory when you really think about it. Fiery debates are ongoing around these questions. But that's a topic for another time, and not one which is answerable within a YouTube video description back

Roger Waters & Sinead O'Connor, Mother, 'Performing Mother with Sinead O'Connor at the Wall concert in Berlin...' back

The Birthday Party (band) - Wikipedia, The Birthday Party (band) - Wikipedia, the free encyclopedia, ' The Birthday Party (originally known as the Boys Next Door) were an Australian post-punk band, active from 1977 to 1983. The group's "bleak and noisy soundscapes," which drew irreverently on blues, free jazz, and rockabilly, provided the setting for vocalist Nick Cave's disturbing tales of violence and perversion. Their 1981 single "Release the Bats" was particularly influential on the emerging gothic scene. Despite limited commercial success, the Birthday Party's influence has been far-reaching, and they have been called "one of the darkest and most challenging post-punk groups to emerge in the early '80s."
In 1980, the Birthday Party moved from Melbourne to London, where they were championed by broadcaster John Peel. They subsequently released two albums: Prayers on Fire (1981) and Junkyard (1982). Disillusioned by their stay in London, the band's sound and live shows became increasingly violent. They broke up soon after relocating to West Berlin in 1982. The creative core of the Birthday Party – singer and songwriter Nick Cave, multi-instrumentalist and songwriter Mick Harvey, and singer, songwriter and guitarist Rowland S. Howard – later went on to acclaimed careers.' back

Thomas de Aquino, De ente et essentia (Corpus Thomisticum), 'Prooemium Quia parvus error in principio magnus est in fine, secundum philosophum in I caeli et mundi, ens autem et essentia sunt quae primo intellectu concipiuntur, ut dicit Avicenna in principio suae metaphysicae, ideo ne ex eorum ignorantia errare contingat, ad horum difficultatem aperiendam dicendum est quid nomine essentiae et entis significetur et quomodo in diversis inveniatur et quomodo se habeat ad intentiones logicas, scilicet genus, speciem et differentiam. . . . ' back

Victoria Bela (2026_07_15), China is now world’s No 1 science power, top Russian scientist Artem Oganov says, ' Leading Russian chemist and materials scientist Artem Oganov, who received China’s top international science and technology award, said the honour from the world’s No 1 science power was a sign he was “on the right track”.
Oganov, a distinguished professor at the Skolkovo Institute of Science and Technology in Moscow and long-time China collaborator, and eight other experts were awarded the International Science and Technology Cooperation Award by Chinese President Xi Jinping during a ceremony in Beijing last week.
After Oganov visited China in 2008, he told colleagues and friends in Europe that the country was “on the way” to being No 1 in both industry and science, but said this was met with scepticism at the time.
He told the South China Morning Post on Monday that, 18 years on, “China is No 1 – in industry, in economy, and indeed also in science.”
Noting that America used to be the top scientific power, he pointed to the fact that China now accounts for a third of global scientific publications, adding that it was not just numbers, but “quality”.
China holds the top spot in the 2026 Nature Index – an analysis of over 125,000 research articles published in 178 leading publications in 2025 – with the US in second place.
“I knew that [China] will rise to the top position, but I did not expect that it will be so fast and so strong,” he said.
“We live now in very dramatic times when politicians, especially Western politicians, burn bridges.
“[The] future belongs to those who build the bridges, not those who burn them. And the most natural bridge between different cultures and nations is science,” he added.' back

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