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Notes

Sunday 1 August 2021 - Saturday 7 August 2021

[Notebook: DB 86: Hilbert / Minkowski]

[page 317]

Sunday 1 August 2021

Sunday, no church for a very long time. Religion is the practical implementation of theology and is to some extent guided by it as a technology is guided by the relevant science. The difficulty with Christianity and many other religions is that so much of the content is invisible [a trait shared with quantum theory], things like the mark of sin on the soul, the god to whom we pray, the body of Christ in the eucharist, which serve as common ideas to bind people but they are weak because they are unrealistic. The operative reality is real binding by real love summarized by Jesus: love God, love neighbour. In natural realistic theology, god is the world and we must love it individually and collectively since our lives totally depend upon it and care for the world is a component of our love for other people and vice versa.

Olympics [commentator]: 'earn what she has worked for for her entire life'.

I have put 60 years into this project, will I win some gold, I am always on thin ice trying to go one trick further?

[page 318]

Spin is everything.

Are the stars trustworthy: 'The only thing that can hold you back is if you allow negativity to get a grip on your mind [does motivation help? Maybe for controlled activities like running, but what about hunting for ideas, which are often few and far between?].

Why do I want Hilbert space to be independent of Minkowski space anyway [apart from being somewhat convinced that this is actually the case]? Above all to honour the zero bifurcation [principle] by giving a reason for the null geodesic through the idea that the velocity of light in effect neutralizes space [once it has emerged] so that contact / overlap transformations in the quantum regime can take space over spatial intervals. I am confused but hoping for clarity as I imagine to be the role of intellectual insight / quantum observation [both of which are random events]. If only I could make it work it would be my gold medal move and looking from here the best possible PR for my theology. Also producing a 'spiritual' world beneath the material world and enabling quantum perpetual motion versus Minkowski increasing entropy.

Another clue: the Lagrangian action functional bridges the gap between Hilbert and Minkowski.

If I am right about this it must be possible to make it work and arrive at the quantum mechanical origin of Minkowski space and also. . . showing that h and c are initial degrees of freedom frozen into the cosmic system by their initial choices. Take the stars above seriously.

Monday 2 August 2021
Tuesday 3 August 2021

[page 319]

No rest for the wicked. As soon as I lie down for my afternoon rest a thought floats into my consciousness forcing me to get up and write. What are the dimensions of the initial singularity [ie action: in classical spacetime the dimensions of angular momentum: radius × instantaneous linear momentum, ie ML2T-1]. Does having dimensions have any meaning at this level? For angular momentum one needs distance, ie radius, mass/energy as the [measure of] the rotating object and velocity as the speed of rotation. We have defined the quantum of action logically as the not operator and its action is to convert some p into some not-p. Aristotle was convinced that the perfect motion was circular and this convention kept astronomy in its thrall until Kepler found that planetary orbits are elliptical. And we are inclined to wonder how point particles like electrons and massless particles like photons can have spin and momentum, suggesting that spin [a form of angular momentum] is prior to both space and mass energy, so adding weight to the logical idea. Another feature of spin or rotation is that it is 'closed' motion, something that can be rotated by a group, a complex number or a not operator operating in a space with only two states like spin up and spin down or in the case of photons, two directions of polarization [which may be superposed to create 'circular' polarization]. So we can imagine the quantum of action and the associated spin gathered new features, layer by layer, beginning with pure logic and ending as the angular momentum of a massive flywheel that smooths the quanta of power strokes to gain energy for compression strokes. And now I can have another try for a snooze.

Gilbert and Green page 39: God, like a virus, replicates, it does not grow. Gilbert & Green (2021): Vaxxers: The Inside Story of the Oxford AstraZeneca Vaccine and the Race Against the Virus

Wednesday 4 August 2021

[page 320]

Zurek explains 'wavefunction collapse' by the requirement that information be transferred in the context of the tensor product that arises when two quantum states meet. I like the spinning die analogy. This is a step toward creating space. Now we have to find a role for 1) the boson fermion split; 2) an explanation of the pixellation of spacetime; and 3) a role for the velocity of light in forming the Minkowski metric [somehow taking into account that space has three dimensions and time 1; is space born with three dimensions, or just one first?]. Anyon - Wikipedia

Next steps: discussion of layering and the derivation of the Minkowski metric via the maintenance of contact by null geodesics and (?) the idea that the spin-statistics theorem is in some way reversed by the fermions creating the velocity of light simply by the zero bifurcation rule rather than the velocity of light creating the fermions by spacelike separation. Things look messy here but there is hope. When we talk about measurement we are not talking about physicists but everything interacting with everything by entanglement in the space free zone, see 1, 2, 3 above. Quantum mechanics is a great guesser [an oracle?]. NP. NP-hardness - Wikipedia

Then we turn to gravitation, then more generally to quantum field theory, mathematical community summary with respect to complexity and a summary conclusion.

Rebuilding god.

Thursday 5 August 2021
Friday 6 August 2021
Saturday 7 August 2020

Slow day, missing my family, rethinking chapter 6, slow work but good.

[page 321]

The million dollar question for me is do I believe my own arguments? And I come down on the side of yes: from general relativity we get a structureless initial singularity, identical to the absolutely [simple] classical god. From the quantum of action we get unlimited action. From requisite variety, we get uncontrolled action. From uncontrolled action we get unlimited trials. From quantum mechanics we get bosons and fermions and a communication network that can build a structure of unlimited complexity layer by layer, limited only by consistency, and that is all we want. So that is section 6.9. Now as an example of the evolutionary process we see Minkowski space merge curved by closure into gravitation. It is all a bit like lead climbing, struggling to get from hold to hold, slipping sometimes but on the way. Now at last I can go to bed happy. I have taken another step on my sixty year journey [is it good? Trial and error is the only way].

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Further reading

Books

Aquinas, Thomas, Summa Theologiae, Editiones Paulinae 1962 Advertenda: 'Cum Summa Theologia Divi Thomas usitatissimus in scholis theologicis evadat, saepius temporibus anteactis forma manuali edita est, ut facilius eius usus redderetur; tamen hucusque impossibile fuit editionem manualem unico volumine parare. Nunc progressus artis typographicae ad hoc optima media praebet et ideo desiderium omnium professorum at alumnorum adimplere nisi sumus, illis Summam Theologiae unico volumine, forma manuali et scholaris, cum typis maxime perspicuis, offerendo et hoc modo magno incommoda editionum in prluribus voluminis evadendo.'back

Cantor, Georg, Contributions to the Founding of the Theory of Transfinite Numbers (Translated, with Introduction and Notes by Philip E B Jourdain), Dover 1895, 1897, 1955 Jacket: 'One of the greatest mathematical classics of all time, this work established a new field of mathematics which was to be of incalculable importance in topology, number theory, analysis, theory of functions, etc, as well as the entire field of modern logic.' 
Amazon
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Dirac, P A M, The Principles of Quantum Mechanics (4th ed), Oxford UP/Clarendon 1983 Jacket: '[this] is the standard work in the fundamental principles of quantum mechanics, indispensible both to the advanced student and the mature research worker, who will always find it a fresh source of knowledge and stimulation.' (Nature)  
Amazon
  back

Gilbert (2021), Sarah, and Catherine Green, Vaxxers: The Inside Story of the Oxford AstraZeneca Vaccine and the Race Against the Virus, Hodder & Stoughton 2021 ' On 1 January 2020, Sarah Gilbert, Professor of Vaccinology at Oxford University read an article about four people in China with a strange pneumonia. Within two weeks, she and her team had designed a vaccine against a pathogen that no one had ever seen before. Less than 12 months later, vaccinations were rolled out across the world to save millions of lives from Covid-19. In Vaxxers we hear directly from Professor Gilbert and her colleague, Dr Catherine Green, as they reveal the inside story of making the Oxford Zeneca vaccine and the cutting edge science and sheer hard work behind it.'  
Amazon
  back

Haight, Roger, Jesus Symbol of God, Orbis Books 1999 Jacket: 'This book is the flagship of the fleet of late twentieth century works that show American Catholic theology has indeed come of age. Deeply thoughtful in its exposition, lucid in its method, and by turns challenging and inspiring in its conclusions, this christology gives a new articulation of the saving "point" of it all. . . . Highly recommended for all who think about and study theology.' Elizabeth Johnson CSJ, Fordham University. 
Amazon
  back

Lonergan, Bernard J F, Insight: A Study of Human Understanding (Collected Works of Bernard Lonergan : Volume 3), University of Toronto Press 1992 '. . . Bernard Lonergan's masterwork. Its aim is nothing less than insight into insight itself, an understanding of understanding' 
Amazon
  back

Medcalf, Peter, War in the Shadows: Bougainville 1944-45, Collins 1986 Jacket: '... written by an Australian infantryman who, as a nineteen year old, fought in the bloody campaigns on Bougainville, tells the dramatic truth about jungle warfare in the south-west Pacific during the second world war from the point of view of the combat soldier.' 
Amazon
  back

Needham, Joseph, Science and Civilisation in China (Volume 3) Mathematics and the Sciences of the Heavens and the Earth, Cambridge UP 1959 Book description: 'After two volumes mainly introductory, Dr Needham now embarks upon his systematic study of the development of the natural sciences in China. The Sciences of the Earth follow: geography and cartography, geology, seismology and mineralogy. Dr Needham distinguishes parallel traditions of scientific cartography and religious cosmography in East and West, discussing orbocentric wheel-maps, the origins of the rectangular grid system, sailing charts and relief maps, Chinese survey methods, and the impact of Renaissance cartography on the East. Finally--and here Dr Needham's work has no Western predecessors--there are full accounts of the Chinese contribution to geology and mineralogy.' 
Amazon
  back

Robinson, James M, and (editor), The Nag Hammadi Library in English , Harper 1990 Amazon.com Review: 'The Nag Hammadi Library was discovered in 1945 buried in a large stone jar in the desert outside the modern Egyptian city of Nag Hammadi. It is a collection of religious and philosophic texts gathered and translated into Coptic by fourth-century Gnostic Christians and translated into English by dozens of highly reputable experts. First published in 1978, this is the revised 1988 edition supported by illuminating introductions to each document. The library itself is a diverse collection of texts that the Gnostics considered to be related to their heretical philosophy in some way. There are 45 separate titles, including a Coptic translation from the Greek of two well-known works: the Gospel of Thomas, attributed to Jesus' brother Judas, and Plato's Republic.' 
Amazon
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Papers

Gingerich, Owen, "A radical turning point", Nature, 430, 6998, 22 July 2004, page 407. Nature essay turning points: 'How an annotated book transformed a theoretician into an historian'. back

Jaenike, John, Robert Unckless, Sarah N Cockburn, Lisa M Boelio, Steve J Perlman, "Adaptation via Symbiosis: Recent Spread of a Drosophila Defensive Symbiont", Science, 329, 5988, 9 July 2010, page 212-215. 'ABSTRACT Recent studies have shown that some plants and animals harbor microbial symbionts that protect them against natural enemies. Here we demonstrate that a maternally transmitted bacterium, Spiroplasma, protects Drosophila neotestacea against the sterilizing effects of a parasitic nematode, both in the laboratory and the field. This nematode parasitizes D. neotestacea at high frequencies in natural populations, and, until recently, almost all infections resulted in complete sterility. Several lines of evidence suggest that Spiroplasma is spreading in North American populations of D. neotestacea and that a major adaptive change to a symbiont-based mode of defense is under way. These findings demonstrate the profound and potentially rapid effects of defensive symbionts, which are increasingly recognized as major players in the ecology of species interactions.'. back

Pennisi, Elizabeth, "Volvox Genome Shows It Does Not Take Much to Be Multicellular", Science, 329, 5988, 9 July 2010, page 128-129. 'How a single cell made the leap to a complex organism is one of life's great mysteries. Biologists have thought that new genes and gene networks would be needed to make possible the move to multicellularity. But, at least in green algae, that turns out not to be the case. On page 223 of this week's issue of Science, a comparison between the genomes of the 2000-cell Volvox carteri and a single-celled green alga, Chlamydomonas reinhardtii, has revealed surprisingly few differences in their gene makeup.'. back

Links

Aljazeera & News Agencies, Belarus Olympic athlete says taken to airport against her wishes, ' Tsimanouskaya was due to compete in the women’s 200 metres on Monday. Tsimanouskaya, 24, said the coaching staff had come to her room on Sunday and told her to pack up. She was taken to the city’s Haneda airport before she could run in the 200 metres and 4×400 metres relay on Thursday. She said she had been removed from the team due “to the fact that I spoke on my Instagram about the negligence of our coaches”. The Belarusian Olympic Committee said in a statement that coaches had decided to withdraw Tsimanouskaya from the games on doctors’ advice about her “emotional, psychological state”.' back

Anyon - Wikipedia, Anyon - Wikipedia, the free ecyclopedia, ' In physics, an anyon is a type of quasiparticle that occurs only in two-dimensional systems, with properties much less restricted than the two kinds of standard elementary particles, fermions and bosons. In general, the operation of exchanging two identical particles, although it may cause a global phase shift, cannot affect observables. Anyons are generally classified as abelian or non-abelian. Abelian anyons (detected by two experiments in 2020) play a major role in the fractional quantum Hall effect. Non-abelian anyons have not been definitively detected, although this is an active area of research.' back

Ayelett Shani, How Medieval Jewish Sages Felt About Push-up Bras, ' I truly believe that it is important to add the study of objects in order to look more deeply at society and at women’s place in it. The study of objects is perceived as the realm of archeologists, but whereas archaeology studies the object and dates it, historians make use of it to tell a story – and some of those stories, as I am discovering in my research, have never before been told.' back

Bougainville Campaign - Wikipedia, Bougainville Campaign - Wikipedia, the free encyclopedia, 'The Bougainville campaign (Operation Cherry Blossom) was fought by the Allies in the South Pacific during World War II to regain control of the island of Bougainville from the Japanese forces who had occupied it in 1942.' back

Council of Chalcedon - Wikipedia, Council of Chalcedon - Wikipedia, the free encyclopedia, 'The Council of Chalcedon (/kælˈsiːdən/ or /ˈkælsɨdɒn/)[1] was a church council held from October 8 to November 1, AD 451, at Chalcedon (a city of Bithynia in Asia Minor), on the Asian side of the Bosporus, known in modern times as Kadıköy in Istanbul, although it was then separate from Constantinople. The judgements and definitions of divine nature issued by the council marked a significant turning point in the Christological debates that led to the separate establishment of the church in the Western Roman Empire during the 5th century.' back

Emmy Noether, Invariant Variation Probems (English Translation), M. A. Tavel’s English translation of “Invariante Variation sprobleme,” Nachr. d. K ̈onig. Gesellsch. d. Wiss. zu G ̈ottingen, Math-phys. Klasse , 235–257 (1918), which originally appeared in Transport Theory and Statistical Physics,1 (3), 183–207 (1971). 'The problems in variation here concerned are such as to admit a continuous group (in Lie’s sense); the conclusions that emerge from the corresponding differential equations find their most general expression in the theorems formulated in Section 1 a nd proved in following sections. Concerning these differential equations that arise from pro blems of variation, far more precise statements can be made than about arbitrary differential equ ations admitting of a group, which are the subject of Lie’s researches. What is to follow, there fore, represents a combination of the methods of the formal calculus of variations with those o f Lie’s group theory.' back

Terra nullius - Wikipedia, Terra nullius - Wikipedia, the free encyclopedia, 'Terra nullius ( . . . plural terrae nullius) is a Latin expression deriving from Roman law meaning "land belonging to no one", which is used in international law to describe territory which has never been subject to the sovereignty of any state, or over which any prior sovereign has expressly or implicitly relinquished sovereignty. Sovereignty over territory which is terra nullius may be acquired through occupation,[though in some cases doing so would violate an international law or treaty.' back

Ian Hall, Jawaharlal Nehru’s vision for a just and equitable post-colonial world, with India leading the way, ' An unlikely revolutionary, Nehru was born in 1889 into wealth and privilege. His father was a Kashmiri, a high caste Brahmin and a successful barrister, able to fund the best education for the young Jawaharlal the British system could offer. After attending Harrow School and Cambridge University, Nehru, too, became a lawyer and could easily have settled into a comfortable life. Join 160,000 people who subscribe to free evidence-based news. Instead, Nehru was swept by the enigmatic Mahatma Gandhi into the campaign against British rule in India. For the next 25 years, he dressed in homespun cotton, endured long terms in prison and campaigned relentlessly for the cause.' back

Joy Gordon, A Sanctioned Crisis, ' Every year since 1992, the United Nations General Assembly has adopted a resolution denouncing the U.S. embargo as a violation of international law. Nearly every member of the United Nations joins in supporting these resolutions. This June, 184 countries supported Cuba’s claim and held that the United States was acting illegally. These include nearly all U.S. trading partners and allies. Only two countries—the United States and Israel—voted against Cuba’s resolution (three countries abstained).' back

Nicholas Clements, Friday essay: Tongerlongeter — the Tasmanian resistance fighter we should remember as a war hero, Tongerlongeter’s story In Tasmania’s “Black War” of 1823–31, Tongerlongeter led a stunning resistance campaign against invading British soldiers and colonists. Leader of the Oyster Bay nation, he inspired dread throughout the island’s southeast. Convicts refused to work alone or unarmed, terrified settlers abandoned their farms, the economy faltered and the government seemed powerless to suppress the insurgency.' back

Nina Byers, E. Noether's Discovery of the Deep Connection Between Symmetries and Conservation Laws, Abstract: 'Emmy Noether proved two deep theorems, and their converses, on the connection between symmetries and conservation laws. Because these theorems are not in the mainstream of her scholarly work, which was the development of modern abstract algebra, it is of some historical interest to examine how she came to make these discoveries. The present paper is an historical account of the circumstances in which she discovered and proved these theorems which physicists refer to collectively as Noether's Theorem. The work was done soon after Hilbert's discovery of the variational principle which gives the field equations of general relativity. The failure of local energy conservation in the general theory was a problem that concerned people at that time, among them David Hilbert, Felix Klein, and Albert Einstein. Noether's theorems solved this problem. With her characteristically deep insight and thorough analysis, in solving that problem she discovered very general theorems that have profoundly influenced modern physics.' back

NP-hardness - Wikipedia, NP-hardness - Wikipedia, the free encyclopedia, ' A decision problem H is NP-hard when for every problem L in NP, there is a polynomial-time many-one reduction from L to H.An equivalent definition is to require that every problem L in NP can be solved in polynomial time by an oracle machine with an oracle for H. Informally, an algorithm can be thought of that calls such an oracle machine as a subroutine for solving H and solves L in polynomial time if the subroutine call takes only one step to compute.' back

Rana Husseine, Murdered women: A history of ‘honour’ crimes, ' On a hot summer day in late May 1994, I drove to an eastern suburb of Jordan’s capital, Amman, to investigate the reported murder of a 16-year-old schoolgirl by her own brother. . . .Why had this girl’s life been cut short by her brother? What had her final thoughts been? My questions would soon be partially answered by a man who was walking through the neighbourhood when I arrived. “Yes, I know why she was killed,” he answered calmly as if talking about the weather: “She was raped by one of her brothers and another sibling murdered her to cleanse his family’s honour.” I asked him again if what he was saying was really true. “Yes, it is true. That is why she was killed,” the man answered me, before ushering me to the house where the murder took place.' back

Steven Pearce, Budgie Murmurations (Large Flocks) In Central Australia, ' The location is a closely guarded secret amongst twitcher (birder) circles and it took a few mornings of mild success to find it. Once we did however we found Budgies by the thousands and also a few twitchers whose first words were "how did you find out about this place?". It might seem a little abrupt but the secrecy to such a spot is not just there so the twitchers can keep it to themselves. The secrecy, as I see it, is there to help protect such a rare congregation of budgies from being harassed to the point where they feel threatened and need to find a new waterhole.' back

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