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Notes

Sunday 31 July 2022 - Saturday 6 August 2022

[Notebook: DB 88: Salvation]

[page 131]

Sunday 31 July 2022

I can't join every dot. Reading is a creative process. Finish cc24_chromodynamics

Monday 1 August 2022

Revise cc23_quantum_field

[page 132]

Football as an analogue of the picture I tried to paint on page cc18_trans_minkowski. We have a lot of particles moving around in an analogue of Minkowski space where there are two realizations of the speed of light, the speed of a player and the speed of the ball. The players are the fermions and the ball is a boson. Both the players and the ball have minds of their own connected to each of them in an instance of Hilbert space. The players use their mental powers to work out their moves, largely assisted by their vision of the situation of the other players and the ball, trying to pass the ball to members of their own team around the members of the other team and thread the ball through the other team to the goal. The players, being fermions, are essentially only permitted to make contact with the ball and are fouled if they make contact with one another unless they are directly attempting to gain possession of the ball.

Tuesday 2 August 2022
Searching Greene for clues: a very irritating book [and very poorly bound], but I see that the fundamental problem with calculating probabilities in quantum field theory depends on maintaining complete sets of perfectly orthonormal basis states combined to form a vector which evolves unitarily so that the whole vector is normalized to probability 1 and the probabilities of the appearances of the basis states (the alphabet) add up to one as required for a communication source. Brian Greene (1999): The Elegant Universe: superstrings, hidden dimensions and the quest for the ultimate theory

Green page 119; More waffle about the turbulent vacuum but how do we use the separation of Hilbert and Minkowski space to refute it? In the same way I argued that gravitation is nothing because a [n unmodulated] continuum does not carry information.

Why is the mnimum energy of the quantum harmonic oscillator ½ℏω when the energy of a pendulum can be zero?

For the first time I am feeling the pain of love. In previous attractions I was attracted and not committed and no investment was required. Now the lover wants a big investment up front and trust rather than attraction is required.

Wednesday 3 August 2022

Both mind and Hilbert space are outside Minkowski space and time in the sense that they extend across it, which is how the quantum of action appears in Minkowski space as ΔxΔp ≈ 1 quantum of action, pixellating space and time. See Veltman's description of Hilbert space, a formal picture

[page 133]

of serial events like a movie in a can. This to go in the page on the independence of Hilbert space, ie Hilbert space is present to regions of Minkowski space. Martinus Veltman (1994): Diagrammatica: The Path to the Feynman Rules, page 33

Thursday 4 August 2022

As I understand (or misunderstand) the SU(1) . . . SU(n) . . . SU(0) series of groups, they are all rotations in n dimensional spaces. Since the progress of field theory has so far run from group SU(1) to SU(3) all of which [have been identified as natural] group structures. I suppose that as complexification proceeds particles like myself are SU(n) groups and as groups become more complex so that a group like myself [all of whose activities may be mapped to rotations] is mortal, that is I die. The proton, as an example of an SU(3), is currently quasi eternal but (in current theory) even protons are not eternal so SU(3) can be imperfect so SU(3) can break. Some particles (hadrons) represented by SU(3) have exceedingly short lifetimes and are classified as 'resonances' rather than particles with a measurable lifetime, ie the minimal instances of such groups only last for one 'revolution' before they break down. Their representation by n × n unitary matrices of determinant 1 point to their operation on vectors of length n, which have n eigenvalues.

' The simplest group SU(1) is the trivial group having only a singe element and is diffeomorphic to the 3-sphere. Since unit quaternions can be used to represent rotations in 3 dimensional space there is a surjective homeomorphism to the rotation group SO(3) whose kernel is { +I, −I }. SU(2) is also identical to one of the symmetry groups of spinors, Spin(3), that enables a spinor representation of rotations.' Special unitary group - Wikipedia

Friday 5 August 2022
Saturday 6 August 2022

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Further reading

Books

Greene (1999), Brian, The Elegant Universe: superstrings, hidden dimensions and the quest for the ultimate theory, W W Norton and Company 1999 Jacket: 'Brian Greene has come forth with a beautifully crafted account of string theory - a theory that appears to be a most promising way station to an ultimate theory of everything. His book gives a clear, simple, yet masterful account that makes a complex theory very accessible to nonscientists but is also a delightful read for the professional.' David M Lee 
Amazon
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Veltman (1994), Martinus, Diagrammatica: The Path to the Feynman Rules, Cambridge University Press 1994 Jacket: 'This book provides an easily accessible introduction to quantum field theory via Feynman rules and calculations in particle physics. The aim is to make clear what the physical foundations of present-day field theory are, to clarify the physical content of Feynman rules, and to outline their domain of applicability. ... The book includes valuable appendices that review some essential mathematics, including complex spaces, matrices, the CBH equation, traces and dimensional regularization. ...' 
Amazon
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Links

Andrew Nachemson, Defiance in Myanmar even as executions prompt fears for detained, ' Far from backing down, the military has defended the executions, saying the men “deserved many death sentences”. Plainclothes mobs gathered to throw stones at the homes of the executed activists’ parents. The military has also refused to return the bodies or tell the families when exactly they were killed, hindering Buddhist religious ceremonies for the dead. “This shows the extreme cruelty of their nature and is an extreme human rights violation also for the families,” said Thazin Nyunt Aung, adding that it may be a tactic to make other opponents of the military government even more afraid. “It’s in fact not a judicial execution, it’s just murder. The military wants everyone who fights against them to be dead, and they only want power and wealth in their own hands".' back

Bill Birtles, Nancy Pelosi's looming Taiwan trip is a high-risk, high-reward gambit that could cement her legacy and rile China, ' If US House Speaker Nancy Pelosi pushes ahead with a visit to Taipei this week, it will create the greatest test of Chinese and American resolve over Taiwan in more than three decades, putting immense pressure on the world's two most powerful men. . . . While she's made no public mention of Taiwan, a quick stopover is widely expected to happen. Arguably the most influential woman in US politics, Pelosi is organising the trip to presumably meet her host, the most powerful woman in the Chinese-speaking world, Taiwan's leader Tsai Ing-wen. From the perspective of Taiwan's government, the trip is a much-needed show of support from Washington in the face of increasing Chinese diplomatic and military pressure on the self-ruled island. But it's inadvertently revealed the divisions at the top of America's government over the handling of China's most sensitive issue. US President Joe Biden, who is Pelosi's commander-in-chief and party leader, is not even willing to publicly back his Democratic colleague's visit.' back

Ferdouse Asefi, Afghanistan a year after the Taliban occupation: An ongoing war on human rights, ' Now with the passage of the 2023 National Defense Authorization Act, U.S. humanitarian aid delivered to Afghanistan via Defense Department resources has ended. The greatest humanitarian crisis in the world will continue to worsen as long the Taliban are in power. An absence of war is not the same as peace when Afghans are continuously stripped of their human rights. The Taliban must not be whitewashed — they are patriarchal terrorists. Resistance forces continue to fight this illegitimate regime that is not in any way representative of Afghans — but the rest of the world needs to step up.' back

Miller, Katz, Paris & Bhatia, Vast New Study Shows a Key to Reducing Poverty: More Friendships Between Rich and Poor, ' Over the last four decades, the financial circumstances into which children have been born have increasingly determined where they have ended up as adults. But an expansive new study, based on billions of social media connections, has uncovered a powerful exception to that pattern that helps explain why certain places offer a path out of poverty. For poor children, living in an area where people have more friendships that cut across class lines significantly increases how much they earn in adulthood, the new research found. The study, published Monday in Nature, analyzed the Facebook friendships of 72 million people, amounting to 84 percent of U.S. adults aged 25 to 44.' back

Poetry of Sappho - Wikipedia, Poetry of Sappho - Wikipedia, the free encyclopedia, 'Sappho was an ancient Greek lyric poet from the island of Lesbos. She wrote around 10,000 lines of poetry, only a small fraction of which survives today. Only one poem is known to be complete; in some cases as little as a single word survives. Modern editions of Sappho's poetry are the product of centuries of scholarship, first compiling quotations from surviving ancient works, and from the late 19th century rediscovering her works preserved on fragments of ancient papyri and parchment.' back

Special unitary group - Wikipedia, Special unitary group - Wikipedia, the free encyclopedia, 'In mathematics, the special unitary group of degree n, denoted SU(n), is the group of n×n unitary matrices with determinant 1. The group operation is that of matrix multiplication. The special unitary group is a subgroup of the unitary group U(n), consisting of all n×n unitary matrices, which is itself a subgroup of the general linear group GL(n, C). The SU(n) groups find wide application in the standard model of physics, especially SU(2) in the electroweak interaction and SU(3) in QCD.' back

The Economist: Briefing, Vladimir Putin is in thrall to a distinctive brand of Russian fascism, ' Russian fascism has deep roots, going all the way back to the early 20th century. Fascist ideas flourished among White émigrés after the Bolshevik revolution and they were partly re-imported to the Soviet Union by Stalin after the war. He feared that a victory over fascism, won with America and Britain, would empower and liberate his own people. So he turned Soviet success into the triumph of totalitarianism and Russian imperial nationalism. He re-branded war allies as enemies and fascists hellbent on destroying the Soviet Union and depriving it of its glory.' back

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