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