natural theology

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Notes

Sunday 22 May 2022 - Saturday 28 May 2022

[Notebook: DB 88: Salvation]

[page 85]

Sunday 22 May 2022

I am out of my depth all the way but as long as I can swim

[page 86]

being out of one's depth is not an issue. To swim is to be consistent with survival, ie to be able to breathe, ie have all the elements for life. Always skimming along the brink of the future while remaining irresistibly optimistic. Currently trying to wind up the argument for cosmic cosmology in modern physics and striking problems of detail, eg discussing Dirac equation that indicate I must fly higher, ie back off to gauge theory.

Abbot Trump, Morrison and Putin have exposed the enormous damage to theology and religion throughout the history of empire, beginning, in the case of Christianity with Constantine's capture of Christian doctrine to consolidate his empire adding it as cement to loose aggregate to create a solid bloc. Introduction to a theory of peace, 2022 version [next project?].

Forces in the cognitive cosmos are logical, enforced by consistency. Gravitation is the prime example, maybe an example of fixed point theory.

Monday 23 May 2022

Monday morning, new government, back to work on green/indigenous theology. Getting a bit desperate to finish a draft of cognitive cosmology it might be time to let my hair down and say what I want to say without spending too much time on the evidence. As long as I do not contradict anything I know the result will be authentic even if it requires revision.

Pais Dirac DB 560 p 17: 'To this day interactions cannot be treated rigorously. Rather one used the fact that the fundamental charge e is small, or more precisely the dimensionless number = e2 /hc = 1/137 is small and expands in units of α'. Peter Goddard (1998) (editor): Paul Dirac, The Man and His work

Dirac 1936: Give up QED. [Goddard page 23]

Dirac 1984: The inadequacies of quantum field theory. Proceedings of Loyola University Symposium 1984, Kursunoglu and Wigner CUP 1987 p 93.

Feynman Dirac Memorial Lecture 1986 Richard Feynman & Steven Weinberg (1986): Elementary Particles and the Laws of Physics: The 1986 Dirac Memorial Lectures

Tuesday 24 May 2022
Wednesday 25 May 2022

The path integral generates the Dirac delta for the path with probability 1. Dirac delta function - Wikipedia

[page 87]

Thursday 26 May 2022

Logical fixed point. In particular a vector represents a fixed point in a space of the same cardinal as the vector as Shannon demonstrates in his proof and provided the bandwidth in limited [a complex vector] can be transformed through a Fourier inversion into a function. If in fact the primordial Hilbert space [is of] cardinal 0. This limit on bandwidth suggests that such a vector can be transformed into a computable function of which Turing showed that there are 0 so we can [say that] the set of Turing computable functions can be represented by a vector in the Hilbert space of cardina 0, establishing that all the Turing computable functions are represented in the primordial Hilbert space. Thus we can limit the number of functions available for selection in Hilbert space to 0. These vectors can be subjected to fast fourier transforms if they are limited to the roots of unity in the Hilbert space which gives them a time selective advantag in the evolutionary process. This may mean that the number of particles may be limited by the exponent crd (particles), ie something in the range 26- in countable space, ie a bandwidth in the range 1020. Work this out. Fast Fourier transform - Wikipedia

Weinberg page 72: [in Dirac Memorial] 'I don't know of any generalization of quantum mechanics that makes sense. That is I do not know of any larger consistent theory in which quantum mechanics appears as a special case . . .'

'But quantum mechanics is not enough, Quantum mechanics is not itself a dynamical theory. It is an empty stage. You have to add actors: you have to specify the space of configurations, an infinite dimensional complex space and the dynamical rules for how the vector rotates in this space as time passes.'

Increasingly many of us have come to think that the missing element that has to be added to quantum mechanics is a principle, or several principles, of symmetry.

Friday 27 May 2022

Do we want to apply fixed point theory to the emergence of the universe? Yes, because it is nice and general and simple. No, because it is continuous. But what if we think of the universe as a creative economy and work our way from Adam Smith and Von Neumann and economic equilibrium theories that may apply to both trading

[page 88]

humans, animals and fundamental particles. Another vey long shot but worth a weekend to think about a way to word our way toward logical fixed points (Thursday above) as a contribution to cognitive cosmology.

Reading Casti on guns and butter. John Casti (1996): Five Golden Rules: Great Theories of 20th-Century Mathematics - and Why They Matter

A logical space is a topological space because it is made continuous by logical coupling / continuity / consistency [can be bent, stretched but not torn?].

Fixed point theory gives us an entré into the fundamental problem of both physics and theology which is the relationship between dynamics and statics. This theory opens a path from dynamics to statics. We face the inverse problem, to go from statics to dynamics, and as Weinberg notes quantum field theory is an attempt to go from the dynamics of the universe to the fixed points that underlie it and the answer is to find the symmetries of motion. The theory I am trying to develop is to find a path from the initial symmetry to global complexity. Feynman's Dirac lecture is such a story, going from the properties of spin in Minkowski space to an understanding of the relationships between spin and the emergence of bosons and fermions, which lies in the region of permutation and superposition to give us a quantum explanation of the origin of the exclusion principle, the growth of spacetime and complex structure: the story is action → bosons → fermions and what I am trying to do is explain this by logic, the foundation of quantum theory. Feynman does it with his diagrams that run in continuous complex space.

Galileo opened the classical path perfected by Newton and Einstein. The mess we call quantum field theory is the result of trying to fuse quantum mechanics and relativity. How can we do it without the mess, whose source seems to be the vacuum. This arises from a misunderstanding of the atomicity of action which is the formal source of the uncertainty principle [leading to] efforts to make quantum uncertainty into a dynamic source of energy from which arises the cosmological constant problem so greatly emphasized by Wilczek. So let us ping this as a fundamental error of quantum field theory and exploit the logical concept of the quantum to escape from this mire. Frank Wilczek (2008): The Lightness of Being: Mass, Ether, and the Unification of Forces page 109

A relevant power of fixed point theory is that it takes us from the continuous to the discrete, as we see it providing a solution to the quantum eigenvalue problem. Here we see formalism in the transfinite zone taking us to fixed points in the finite zone, identifying [the existence of] an optimum route to the moon]. Like Shannon's theorem, it guarantees us a solution without specifically identifying it. The identification lies in the realm of Fourier transformation and computability. Claude Shannon (1949): Communication in the presence of noise

[page 89]

Antiparticles go backwards in time, meaning they run their algorithms backwards, like a codec, a reversible bit of code.

Saturday 28 May 2022

I am edging along trying to solve my theological problems while sticking as close as I can to the status quo in both physics and theology while knowing in my heart that both [in their current incarnation] are radically wrong, I have a fairly good grip on theology now but an becoming more and more convinced that the cosmological constant problem points to a problem of the same magnitude as the conviction that God is other than the world. This problem points to some complete fiction at the bottom of the [current understanding of the physical] world, in the vacuum. There seems to be a huge amount of wasted energy. I have inklings of an answer but the weight of the establishment is so great that I am heavily inhibited from putting it all together, but the usual answer comes: press on, have faith in your convictions. People are dying all over the world for their false beliefs.

For some reason, maybe because I am created in the image of God, I feel confident (deluded?) that I can eventually produce a coherent picture of the physical foundations of the divine universe. I am upset by it taking so long, since I more or less thought that I had done the job when I was about 19, but I feel that I must keep trying, rather in the spirit of a soldier who can see an opening to do some good and is prepared to try it even if it leads to an early death. I am in no danger from a failure to achieve my goal, but I am very strongly attracted by the benefits of a new theology, particularly in the face of disasters like Mr Putin and the [US] gun lobby based on the old theology. Maybe something like falling in love, a premonition of an inevitable excellent conclusion motivated by 14 billion year old tacit dimension. Niko Vorobyov: Patriarch Kirill: Putin ally faces backlash after ‘blessing’ war, Michael Polanyi (1966, 2009): The Tacit Dimension

The vacuum seems absurdly wasteful. Two problems: real infinity in Hilbert space; digital measurement by the quantum of action seen as a dynamic source of energy [the real source of energy being the rate of action, not the digital nature of action]. Vacuum energy - Wikipedia

Galileo: Colin Ronan Colin A, Ronan (1974): Galileo

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Further reading

Books

Casti (1996), John L, Five Golden Rules: Great Theories of 20th-Century Mathematics - and Why They Matter, John Wiley and Sons 1996 Preface: '[this book] is intended to tell the general reader about mathematics by showcasing five of the finest achievements of the mathematician's art in this [20th] century.' p ix. Treats the Minimax theorem (game theory), the Brouwer Fixed-Point theorem (topology), Morse's theorem (singularity theory), the Halting theorem (theory of computation) and the Simplex method (optimisation theory). 
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Goddard (1998), Peter (editor), and Abraham Pais, Maurice Jacob, David Olive, Michael Atiyah and Stephen Hawking, Paul Dirac, The Man and His work, Cambridge University Press 1998 Amazon Product Description 'Paul Adrien Maurice Dirac was one of the founders of quantum theory. He is numbered alongside Newton, Maxwell and Einstein as one of the greatest physicists of all time. Together the lectures in this volume, originally presented on the occasion of the dedication ceremony for a plaque honoring Dirac in Westminster Abbey, give a unique insight into the relationship between Dirac's character and his scientific achievements. The text begins with the dedication address given by Stephen Hawking at the ceremony. Then Abraham Pais describes Dirac as a person and his approach to his work. Maurice Jacob explains how Dirac was led to introduce the concept of antimatter, and its central role in modern particle physics and cosmology. This is followed by David Olive's account of the origin and enduring influence of Dirac's work on magnetic monopoles. Finally, Sir Michael Atiyah explains the deep and widespread significance of the Dirac equation in mathematics.' 
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Polanyi (1966, 2009), Michael, and Amaryta Sen (foreword), The Tacit Dimension, University Of Chicago Press 1966, 2009 Amazon product description: '“I shall reconsider human knowledge by starting from the fact that we can know more than we can tell,” writes Michael Polanyi, whose work paved the way for the likes of Thomas Kuhn and Karl Popper. The Tacit Dimension argues that tacit knowledge—tradition, inherited practices, implied values, and prejudgments—is a crucial part of scientific knowledge. Back in print for a new generation of students and scholars, this volume challenges the assumption that skepticism, rather than established belief, lies at the heart of scientific discovery.' 
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Ronan (1974), Colin A., Galileo, Weidenfeld and Nicholson 1974 ' Introduction: Galileo is science's most dramatic character, standing like a colossus astride the evolving world of the late Renaissance; he is the progenitor of the Age of Reason. Born of an impoverished patrician family,destined by his father for a medical career, his flair was for mathematics and physics and for a new concept of the universe that spelled death to the old belief of Man as God's epitome of creation. . . . .. Follwoing Galileo's astonishing discoveries with the new;y-invented telescope and his subsequent rise to fam, the Catholic Church was in the throes of the Counter Reformation and the Pope involved in a pktical embarassment with a shift in power in the Thirty Years War. . . . This man who advocated free thought in a country where individual popinion was anathema, who proselytized a new scientific outlook that did violence to the Scriptures simply could not be tolerated.'  
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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  
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Links

Andrew Roth, ‘Warmongering, lies and hatred’: Russian diplomat in Geneva resigns over Ukraine invasion, ' “Today the Ministry of Foreign Affairs is not about diplomacy,” wrote the diplomat, a 20-year veteran of the Russian foreign ministry. “It is all about warmongering, lies and hatred. It serves interests of few, the very few people thus contributing to further isolation and degradation of my country. Russia no longer has allies, and there is no one to blame but its reckless and ill-conceived policy".' back

Claude Shannon (1949), Communication in the Presence of Noise, 'A method is developed for representing any communication system geometrically. Messages and the corresponding signals are points in two “function spaces,” and the modulation process is a mapping of one space into the other. Using this representation, a number of results in communication theory are deduced concerning expansion and compression of bandwidth and the threshold effect. Formulas are found for the maximum rate of transmission of binary digits over a system when the signal is perturbed by various types of noise. Some of the properties of “ideal” systems which transmit at this maximum rate are discussed. The equivalent number of binary digits per second for certain information sources is calculated.' [C. E. Shannon , “Communication in the presence of noise,” Proc. IRE, vol. 37, pp. 10–21, Jan. 1949.] back

Dirac delta function - Wikipedia, Dirac delta function - Wikipedia, the free encyclopedia, 'The Dirac delta or Dirac's delta is a mathematical construct introduced by theoretical physicist Paul Dirac. Informally, it is a function representing an infinitely sharp peak bounding unit area: a function f(x) that has the value zero everywhere except at x = 0 where its value is infinitely large in such a way that its total integral is 1. In the context of signal processing it is often referred to as the unit impulse function. Note that the Dirac delta is not strictly a function. While for many purposes it can be manipulated as such, formally it can be defined as a distribution that is also a measure.' back

Gebrekidan, Apuzzo, Porter & Méheut, The Ransom: Invade Haiti, Wall Street Urged. The U.S. Obliged., ' In the drowsy hours of a December afternoon, eight American Marines strolled into the headquarters of Haiti’s national bank and walked out with $500,000 in gold, packed in wooden boxes. . . . The gold was in the vault of a Wall Street bank within days. The operation took place in 1914 — a precursor to the full-scale invasion of Haiti. American forces took over the country the following summer and ruled it with brute force for 19 years, one of the longest military occupations in American history. Even after the soldiers left in 1934, Haiti remained under the control of American financial officers who pulled the country’s purse strings for another 13 years.' back

Harald Sack, Andrei Sakharov and the Soviet Thermonuclear Bomb, ' On May 21, 1921, Russian nuclear physicist, Soviet dissident, an activist for disarmament, peace and human rights Andrei Dmitrievich Sakharov was born.Sakharov became renowned as the designer of the Soviet Union‘s thermonuclear weapons. Sakharov later became an advocate of civil liberties and civil reforms in the Soviet Union, for which he faced state persecution; these efforts earned him the Nobel Peace Prize in 1975. “We regard as “scientific” a method based on deep analysis of facts, theories, and views, presupposing unprejudiced, unfearing open discussion and conclusions.” – Andrei Sakharov, Progress, Coexistence and Intellectual Freedom (1968)' back

Haroom Janjua, Sisters allegedly murdered by husbands in Pakistan ‘honour’ killing, ' Two sisters with dual Pakistani and Spanish citizenship were allegedly killed by their husbands, uncle and brother in a so-called “honour” killing a day after they were tricked into travelling to Pakistan. “The investigations have confirmed that both the sisters were killed in the name of ‘honour’,” said investigating police officer Muhammad Akhtar. . . . According to the Human Rights Commission of Pakistan, an independent rights group, more than 470 cases of “honour” killings were reported in the country last year.' back

Jon Faine, ‘Dictator Dan’ epithet didn’t save Morrison and it won’t save Guy, ' As always, the November Victorian election will be a contest of values. Economic management, infrastructure, health services, ambulance delays, schools, housing – all will be important. But with our increasingly presidential style of governing, the focus will be on the leaders. The ALP brand has been sullied by the Somyurek-age of factional warfare. The IBAC and Ombudsman’s reports ought to be released between now and the poll. It is unlikely anything explosive will be revealed. We already know blinkered ideologues elevated their personal feuds and ambitions ahead of serving the public.' back

Niko Vorobyov, Patriarch Kirill: Putin ally faces backlash after ‘blessing’ war, ' On March 16, Pope Francis held a video meeting with Patriarch Kirill, the 75-year-old leader of the Russian Orthodox Church and a longtime ally of President Vladimir Putin. The head of the Catholic church warned the Russian patriarch against hiding behind religion to justify armed aggression and conquest. “Once upon a time there was also talk in our churches of holy war or just war,” the pope said, according to the Vatican press office. “Today we cannot speak like this.” Ten days earlier, in a sermon, Patriarch Kirill appeared to endorse Moscow’s so-called “special peacekeeping operation,” as the war on Ukraine is officially called in Russia. “We have entered into a struggle that has not a physical, but a metaphysical significance,” the patriarch said.' 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

Tony Ward, Military history is repeating for Russia under Putin’s regime of thieves, ' In explaining the reasons for Russia’s unexpected military weakness in Ukraine, few have expressed it better than The Economist. The magazine noted “the incurable inadequacy of despotic power” and “the cheating, bribery and peculation” that is “characteristic of the entire administration”. Peculation means embezzlement. It’s a word rarely used nowadays; these words were in fact published by The Economist in October 1854, when Russia was in the process of losing the Crimean War. But they might just easily be about Russia today, under Vladimir Putin, and the mess of its invasion of its far smaller neighbour. Rarely have the pernicious effects of authoritarianism and endemic corruption been so vividly on display. back

Vacuum energy - Wikipedia, Vacuum energy - Wikipedia, the free encyclopedia, 'The effects of vacuum energy can be experimentally observed in various phenomena such as spontaneous emission, the Casimir effect and the Lamb shift, and are thought to influence the behavior of the Universe on cosmological scales. Using the upper limit of the cosmological constant, the vacuum energy of free space has been estimated to be 10−9 joules . . . per cubic meter. However, in both quantum electrodynamics (QED) and stochastic electrodynamics (SED), consistency with the principle of Lorentz covariance and with the magnitude of the Planck constant requires it to have a much larger value of 10113 joules per cubic meter. This huge discrepancy is known as the vacuum catastrophe.' back

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