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Notes

Sunday 10 July 2022 - Saturday 16 July 2022

[Notebook: DB 88: Salvation]

[page 117]

Sunday 10 July 2022

Mass ≡ bound energy / binding energy. LHC is s sort of pendulum. First we pour large amounts of energy into s particle, then we collide it and all the energy is released as new massive particles with large amounts of kinetic energy and then we could gather up all these collision products and repeat the cycle.

Zero energy universe ⇄ zero sum bifurcation. Symmetry breaking and the foundation of conservation laws. Dwight Neuenschwander (2011): Emmy Noether's Wonderful Theorem

Gravitation is both the weakest and the most violent force because it is structureless (ie not quantized) because it is not controlled. Energy is per secontrolled by quantization and so gravitation is not quantized.

Zero energy and conservation of energy are local phenomena informed by the duality of potential snd kinetic energy.

cc22_gravitation. My feeling here is that gravitation is a primordial force, uncontrolled snd therefore weak and relentless, an image of historical forces like murderous autocrats who are capable in extreme cases of overcoming the controlled forces

[page 118]

generated by quantum mechanics communication and cooperation by figures like Stalin, Hitler and Putin capable of destroying everything and turning local regains into structureless black holes. Fortunately its destruction is localized and can be circumvented by elements of the universe that are far enough away from these disasters to survive and ultimately create peaceful oases like the solar system and Earth where the creative forces of the universe can operate unconstrained and produce heavenly regions unlike the disastrous black holes where gravitation dominates,. This paragraph is a consequence of the penultimate dose of the nicotine I have been experimenting with to push this project along with fairly minimal impact on my ageing health.

Einstein's strategy for gravitation was to eliminate coordinates altogether by rendering them meaningless, which eliminates quantum theory because all quantum measurement are conversations between two vectors [in Hilbert space], each acting as a reference frame for the other. What matters is their relative phases and the mathematics of quantum mechanics is designed to find fixed points, eigenvalues, in this relationship. Dirac's transformation theory takes account of the fact that what counts is the relative phase, so global changes of phase are of no account.

Monday 11 July 2022

The mathematics of gravitation is the mathematics of inertial motion, given structure by energy alone without any respect for the actual nature of the energy. Such structure as there is in spacetime is all a consequence of quantum mechanics. My little four dimensional scenario lets us ignore all the quantum field theory and attend only to the energy content of all the systems enclosing it. We can apply quantum field theory to establish the logical consistency of the universe establishing it as a particle to which we can apply fixed point theory and arrive at Einstein's gravitation as the fixed point [using Hilbert's Lagrangian approach].

We can take a lot of trouble out of quantum field theory by introducing the complex integers of the roots of unity in the circle group.

Wilczek emphasizes how much super computer time is takes to compute the QCD explanation of hadrons but it may be the massive speedup achieved by the fast fourier transform based on the roots of unity which enables hadrons to process themselves in fractions of a second rather than months.

Tuesday 12 July 2022

[page 119]

Wednesday 13 July 2022

Logically speaking, a stable state is a tautology, a group. Motion, on the other hand is an action designed to avoid inconsistency, as one rolls over in bed when lying in one place becomes painful.

Thursday 14 July 2022

Supercomputer 10^17 FLOPS @ say 10 bits so 10^18 bits per sec for 3 months, say 10^7 sec, so 10^25 operations [quants of action] to compute a proton.

. . .

Mass of proton = 1 GeV = 10^9 eV, 1 eV = 1.6 x 10^-19 Joule, ie 1.6 x 10^-10 J / Planck's constant = 6 x 10^-34 = 0.27 x 10^24 quanta per sec, so proton supercomputer processes proton 30 times in 3 months, [whereas proton may compute itself 10^24 times per second Wilczek page 113]

Right now, reading Wilczek's Nobel Lecture the logical reconception of QCD which I hope t achieve by 21/7 seems completely impossible, yet the QCD story seems to me dodgy, but it works and is backed up by a mathematical theory that I do not understand. As the cosmoligical constant problem and the vacuum put me off field theory, the stories of screening and antiscreening worry me with QCD. What I need to do with CC24_chromodynamics is to write as if I believe it but niblbe away at the difficult bits, particularly the grest computational effort needed to model a proton. So, following my life story, I will conform until my conformity reveals a big gap then leap through it, [rather like my leap out of a thirteenth century religious order to twentieth century reality].

Wilczek Nobel page 102: 'Quantum mechanics and special relativity are two theories of twentieth century physics. Both are very successful. But these two theories are based on entirely different ideas which are not easy to reconcile. In particular, special relativity puts space and time on the same footing but quantum mechanics treats them very differently. This led to creative tension whose resolution has led to three Nobel prizes and ours is another.

1. Dirac: a particle moving near the speed of light but with uncertainty as required by quantum theory, may go faster, which is not permitted. This is solved by antiparticles. So why have antiparticles ceased to exist? This explanation is wrong [even though it is supported by Feynman]. Richard Feynman & Steven Weinberg (1986): Elementary Particles and the Laws of Physics: The 1986 Dirac Memorial Lectures

[pp 120-121 accidentally left blank]

'Very roughly speaking the required uncertainty in position is accommodated by allowing for the possibility that the act of measurement can motivate the creation of particles each indistinguishable, with different positions. To conserve quantum numbers (zero sum complexification) we need antiparticles.' But not for Wilczek's reason [or Feynman's] because cc12_hilbert_minkowski show they fit together perfectly.

In other words I feel that the whole quantum field thing is humbug because people got the Minkowski cart before the Hilbert horse, the motivator of the system.

Feynman, Schwinger and Tomonaga (1965) + 't Hooft and Veltman (1999) - the problem of ultraviolet divergences.

' When special relativity is taken into account quantum theory must allow for fluctuations of energy over brief intervals of time. This is a generalization of the complementarity between momentum and position that is fundamental for ordinary non relativistic quantum mechanics. In this way the wave function of superficially empty space becomes densely populated with virtual particles and empty space becomes to behave like a dynamic medium.'

So where does all this energy come from?

Planck and ultraviolet divergence. Then he says 'The element of discreteness introduced by quantum theory eliminates the possibility of small amplitude fluctuations because it imposes a lower bound on their size. . . . But quantum fluctuations are much more efficient than thermal fluctuations at exciting high energy modes in the form of virtual particles, and so those modes come back to haunt us. For example the give a divergent contribution to empty space, the so called zero point energy.'

Renormalization dealt with this but it is really just a paper tiger [which of course is why renormalization works].

' 't Hooft and Veltman showed that renormalization applied to a much wider class of theories.'

Landau explained that screening was bullshit because nothing some from nothing.

I'll put my money on Einstein, Dirac and Feynman rather than the vacuum lovers.

And if screening is not enough, along comes antiscreening.

[page 123]

How do all the virtual particles get off the mass shell (Wikipedia)

Wilczek Nobel page 105: ' Paradox lost: Antiscreening or Asymptotic freedom. These paradoxes were resolved by our discovery of antiscreening.'

We want a formal logical explanation of this; photons are asymptotically free in the universe until they hit an electron.

Friday 15 July 2022

Wilczek Nobel page 107: Paradigm 1: Reality of quarks and gluons. 'Were quarks particles with simple properties that could be used to formulate a profound theory – or just a curious intermediate device that would need to be replaced with deeper conceptions.'

page 108: Fractional Hall effect Quantum Hall effect - Wikipedia

Hard radiation vs soft radiation. Hard involves collision and change of direction.

page 109: Predictions agree well with experimental measurements.

page 110: Strong couplingαs

page 111: Paradigm 2: Mass comes from energy.

Mass comes from energy, but not all energy is mass - photon.

page 113; 'The observed particles do not map in a straightforward way to the primary fields from which they ultimately arise.

QCD lite: All particles in a hadron given zero mass.

'These pictures make it clear and tangible that the quantum vacuum is a dynamic medium whose properties and responses largely determine the behaviour of matter. In quantum mechanics energies are associated with frewuencies according to the Planck relation E = hν. The masses of hadrons, then, are uniquely associated to tones emitted by the dynamic medium of space where it is disturbed in various way according to ν = mc2 / h.

Paradigm 3: The early universe was simple.

Initial plasma fireball of quarks and gluons [so high energy, not simple?].

page 114: Paradigm 4: Symmetry rules. - Local SU(3) colour gauge

[to page 120, previously left blank, see above]

[page 120]

[from page 123]

symmetry.

Wilczek Nobel page 115: 3.4.1: Unified field theories

Amother principle, perhaps the primary one: all flows are flows of information, they are quantized by a quantum of action and are normalized to 1 [? logically 1 truckload = 1 quantum]. This holds for everything from truck loads of goods to the movement of people and carries through all events of creation and annihilation, the basic symmetry from the beginning to the end of the universe, built into the principle of zero entropy bifurcation [which now looks like a long shot to me, but electron + positron = photon]. This is the information of the theory of probability and expressed in the mathematical theory of communication and the meaning of unitarity and rotation in any space beginning with the roots of unity, related to the circle group and the idea that cos2θ + i sin2θ = 1.Have another look at discrete Fourier transformations.

Landauer on erasure / holographic principle / black hole / second law of thermodynamics / zero energy universe. This has to be rooted in quantum mechanics and Hilbert space and hence must be the top clue to QCD. Rolf Landauer (1961, 2000): Irreversibility and Heat Generation in the Computing Process

Saturday 16 July 2022

So how does this fit the idea of the fertility of the quantum of action and fourier transform positive and negative frequencies?

The divine tautology: God is the eternal necessary being maintained in existence by the divine tautology essence ≡ existence, which is the fundamental selective algorithm of evolution. Aquinas, Summa, I, 3, 4: Are essence and existence the same in God?

Reading Wilczek one gets the impression that QCD is the end of the line for quantum field theory. All that remains is to perfect the story using the Large Hadron Collider as the basic scientific instrument in the church of physics.

We might distinguish a formal logical quantum (a unit of measurement) from a dynamic quantum (a unit of action). The logical quantum has nothing to do with the zero point energy and resides in Hibert space. The dynamic quantum in Minkowski space has dimensions of angular momentum and can appear in the equation ΔE.Δt ≈ ΔpΔx ≈ h.

The mathematical section, cc24_mathematicians must make the distinction between formalism and dynamism, ie kinetic and dynamic. Like music and dance.

[page 121]

It is very weird to think how the world really might be. It seems pretty certain that it is nothing like the physicists say.

From the peacock we learn the wonders of evolution. Peafowl - Wikipedia

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Further reading

Books

Neuenschwander (2011), Dwight E, Emmy Noether's Wonderful Theorem, Johns Hopkins University Press 2011 Jacket: A beautiful piece of mathematics, Noether's theorem touches on every aspect of physics. Emmy Noether proved her theorem in 1915 and published it in 1918. This profound concept demonstrates the connection between conservation laws and symmetries. For instance, the theorem shows that a system invariant under translations of time, space or rotation will obey the laws of conservation of energy, linear momentum or angular momentum respectively. This exciting result offers a rich unifying principle for all of physics.' 
Amazon
  back

Links

Alexandra Petri, Opinion When is a child not a child?, ' A child is not a child. She is a “hoax,” surely (Fox’s Jesse Watters). A “fanciful tale” in the words of the Wall Street Journal editorial board, “a story too good to confirm.” A story that “looks like a lie” (New York Post). An exaggerated concoction by pro-abortion forces designed to make you feel that your laws are inhuman, that they are vicious, that they are written by people to whom these things could never possibly happen, and therefore they are clumsy and careless in the most bruising possible way. She cannot be a child. Children are what your laws protect.' back

Alexandra Witze (2022), Stunning new Webb images: baby stars, colliding galaxies and hot exoplanets, ' Perhaps the least visually striking, but most scientifically compelling, image of NASA’s release is a chemical analysis, or spectrum, of the atmosphere of a distant planet known as WASP-96b. This planet is around half the size of Jupiter but orbits its star in just 3.5 days, meaning that its surface is extremely hot. Webb observed the planet as it passed across the face of its star, such that the starlight travelled through the planet’s atmosphere and enabled scientists to chemically analyze it. They spotted the fingerprint of water in the atmosphere of WASP-96b, suggesting that it is a truly steamy place. The spectrum is “just spectacular”, says Christopher Evans, the European Space Agency’s Webb project scientist. “People have been trying to do [spectroscopy] from the ground for years…and suddenly it’s just right there, and that’s the first go”.' back

Aquinas, Summa, I, 3, 4, Are essence and existence the same in God?, 'I answer that, God is not only His own essence, as shown in the preceding article, but also His own existence. This may be shown in several ways. First, whatever a thing has besides its essence must be caused either by the constituent principles of that essence (like a property that necessarily accompanies the species--as the faculty of laughing is proper to a man--and is caused by the constituent principles of the species), or by some exterior agent--as heat is caused in water by fire. Therefore, if the existence of a thing differs from its essence, this existence must be caused either by some exterior agent or by its essential principles. Now it is impossible for a thing's existence to be caused by its essential constituent principles, for nothing can be the sufficient cause of its own existence, if its existence is caused. Therefore that thing, whose existence differs from its essence, must have its existence caused by another. But this cannot be true of God; because we call God the first efficient cause. Therefore it is impossible that in God His existence should differ from His essence.' back

Associated Press /Al Jazeera, Srebrenica women recognised for highlighting 1995 genocide, ' They were the ones who lived in a world in which their husbands, sons, brothers, uncles and nephews were massacred. They were the ones who fought to make sure that the world would neither deny nor forget the truth of what happened in Srebrenica. As thousands converge on the eastern Bosnian town to commemorate the 27th anniversary on Monday of Europe’s only acknowledged genocide since World War II, the crucial role women have played in forging a global understanding of the 1995 massacre also is getting recognised. A permanent photo exhibition of portraits of the women of Srebrenica opened on Saturday in a memorial centre dedicated to the massacre’s more than 8,000 victims.' back

G M Jackson, Finding the Flaw that Necessittates Renormalization, ' Here's what Paul Dirac had to say about renormalization: "Most physicists are very satisfied with the situation. They say: 'Quantum electrodynamics is a good theory and we do not have to worry about it any more.' I must say that I am very dissatisfied with the situation, because this so-called 'good theory' does involve neglecting infinities which appear in its equations, neglecting them in an arbitrary way. This is just not sensible mathematics. Sensible mathematics involves neglecting a quantity when it is small – not neglecting it just because it is infinitely great and you do not want it!" 'f back

Matt Killingsworth, 20 years on, the International Criminal Court is doing more good than its critics claim, ' But perhaps the critics’ greatest frustration with the ICC is its perceived failure to hold the United States (and Israel, to a lesser extent) to account. However, much of this frustration represents a misunderstanding about the court’s legal reach. Neither the US nor Israel is a signatory to the Rome Statute, and the US could veto any attempt to initiate a referral through the UN Security Council. . . . These concerns about the ICC are the result of two factors outside the ICC’s control: the refusal of some countries to sign the Rome Statute and the increased expectations generated when the court was created. . . . The ICC isn’t perfect. Created in a unique period of cooperation, its operations now reflect the more state-centric and less cooperative world we inhabit. To condemn it solely because of its low prosecution rate would be short-sighted. Instead, we should appreciate the central role it has played in creating expectations that global justice can be realised.' back

Peafowl - Wikipedia, Peafowl - Wikipedia, the free encyclopedia, ' Peafowl is a common name for three bird species in the genera Pavo and Afropavo within the tribe Pavonini of the family Phasianidae, the pheasants and their allies. The two Asiatic species are the blue or Indian peafowl originally of the Indian subcontinent, and the green peafowl of Southeast Asia; the one African species is the Congo peafowl, native only to the Congo Basin. Male peafowl are known for their piercing calls and their extravagant plumage. The latter is especially prominent in the Asiatic species, which have an eye-spotted "tail" or "train" of covert feathers, which they display as part of a courtship ritual.' back

Quantum Hall effect - Wikipedia, Quantum Hall effect - Wikipedia, the free encyclopedia, ' The quantum Hall effect (or integer quantum Hall effect) is a quantized version of the Hall effect, observed in two-dimensional electron systems subjected to low temperatures and strong magnetic fields, in which the Hall resistance Rxy exhibits steps that take on the quantized values at certain level

R xy = VHall / Ichannel = h / e2v

where VHall is the Hall voltage, Ichannel is the channel current, e is the elementary charge and h is Planck's constant. The divisor ν can take on either integer (ν = 1, 2, 3,...) or fractional (ν = 1/3, 2/5, 3/7, 2/3, 3/5, 1/5, 2/9, 3/13, 5/2, 12/5,...) values.' back

Richard Feynman & Steven Weinberg (1986), Elementary Particles and the Laws of Physics: The 1986 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

Rolf Landauer (1961, 2000), Irreversibility and Heat Generation in the Computing Process, 'Abstract: 'It is argued that computing machines inevitably involve devices which perform logical functions that do not have a single-valued inverse. The logical irreversibility is associated with physical irreversibility, and requires a minimum heat generation, per machine cycle, typically of the order of kT for each irreversible function. The dissipation serves the purpose of standardizing signals and making them independent of their exact logical history. Two simple, but representative, models of bistable devices are subjected to a more detailed analysis of switching kinetics to yield the relationship between speed and energy dissipation, and to estimate the effects of errors induced by thermal fluctuations.' back

Smriti Mallapaty, Major wildlife report struggles to tally humanity’s exploitation of species, ' Billions of people worldwide rely on around 50,000 species of wild plants and animals for food, energy, medicines and income, according to a major intergovernmental report prepared by dozens of scientists. Although the report finds that overexploitation is a threat to some species, it also highlights many examples of wild species being used sustainably, and recommends ways to support and replicate those methods. . . . A summary of the assessment, which was conducted by the Intergovernmental Science-Policy Platform on Biodiversity and Ecosystem Services (IPBES), was released on 8 July, with a full report to come in a couple of months. It will follow a 2019 IPBES report, which found that exploitation of wildlife is one of the largest drivers of biodiversity loss. The latest report builds on that finding and sought to offer a more optimistic message, says Marla Emery, a co-chair of the assessment.' back

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