natural theology

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Notes

Sunday 6 September 2020 - Saturday 12 September 2020

[Notebook: DB 85 Science]

[page 157]

Sunday 6 September 2020

Father's day, no children. Swinging between optimism and despair on the principia theologica job. The conclusions seem clear but the path from here to there is still blurry. Overall I have confidence (otherwise I would not be doing it). What else can I do? I am in effect imprisoned in an idea, and I feel like the baby universe of pure action, struggling to find a way to express my personality by variation and selection. Barrow and Tipler suggest that that the emergence of the universe was a 'near run thing' which inclines some people to think that there was an intelligent designer in the background. There was, but the general perception of intelligent design is wrong. It is not creation a priori from nothing, but intelligent trials based on random permutations of the story so far and intelligent selection of the promising looking trials, like the people who breed roses. So keep up the trial and error until the dream comes true. The idea is to shape the principles so that they lead to the desired conclusion [ie to find the rules of consistency faced by the initial singularity when it first set out to become the universe]. David Howarth: Waterloo: A Near Run Thing, Barrow & Tipler: The Anthropic Cosmological Principle

In a world of pure photons there is no space-time visible from any reference frame, it is just a 'sea' of null geodesics. How does this become spacetime? By the advent of massive particles, caused by what? Kevin Brown: Reflections on Relativity, page 693

There was a time when I thought that my new vision of god as identical to the universe was so precious that I needed to take special

[page 158]

precautions to keep my self alive until I could spread the word. I still feel this way but it is no longer a worry because I am retired living in a city and no longer face the risk of falling off a roof or becoming involved in a car accident on a lonely country road. Instead I feel quite confident in my position and am settling slowly into a twenty year project to consolidate and propagate it. No more panic, just steady work to do a good job. My consolation is that a century is a short time in theology, or even in science, where we are still debating the meaning of quantum theory one hundred years after it began to emerge from the data.

We conceive of the quantum measurement problem in terms of the 'collapse' of the wave function, ie when we observe the vector a|0> + b|1> (or equivalent, in any number of dimensions) we see |0> or |1> in the ratio |a|2 to |b|2 where |a|2 + |b|2 = 1, so that the wave function, when observed behaves as the foundation of a 'complete system of events' [in probability theory] only one of which occurs at any trial and whose individual probabilities add up to 1. Another way to look at the 'collapse', based on the idea that the universe began as a single quantum of pure action, is to study the buildup of the wave function, expanding from a one dimensional Hilbert space up to the 0 dimensions which characterize the late stages of the universe. Here we imagine an underdetermined situation where the principle of requisite variety dictates that the low entropy system of two unitary wave functions meeting in an observation is not capable of determining the output, so we

[page 159]

get just one result at random.

One reason for my periodic bouts of despair at ever being able to make progress in describing the emergence of the world from its divine origin is my poor memory which lets me forget how far I have come along this path and particularly the decision some time ago to think in terms of cognitive cosmology and the psychology of insight, which came in the context of equating quantum measurement and insight, that is finding a consistent unification of a set of fragmentary ideas. In the quantum picture the sets of fragmentary ideas are represented by the generally orthogonal sets of eigenfunctions of the unknown state and the observable state which nevertheless have one eigenstate which links them both, the one that emerges in the observation. The wave functions involved do not so much collapse as fit together at the one point at which they are not orthogonal, since the two sets of eigenfunctions are not so much realities as possibilities and one of their elements becomes real by, in effect, meeting and multiplying by its complex conjugate.

The most important feature of mind is its ability to program itself, analogous to the ability of the universe to create itself and beautifully demonstrated by children's ability to learn a number of languages if they are suitably exposed to them. In all these cases we are talking about evolution, trial and error; the speed of evolution depends on how well the trials are based on previous experience, how perceptive [and thorough] the selective process, and the rate of recurrence of trial and selection.

Monday 7 September 2020
Tuesday 8 September 2020

[page 160]

From the point of view of Cartesian psychology the classical world of common experience is a product of the insights of the universe creating clear and distinct entities ("ideas") by observing itself [as thinker's do]. One is inclined to think about acts of observation one at a time like a sort of laboratory experience, but in fact the whole cosmic experience of countless quantum observations, that is communication between two particles is what we call space-time and all its particulate contents. So, given this background, what do we hope to say about the "collapse" of the wave function [given that it exists, a complex solution to a differential equation with no representative vehicle] in terms of the matrix mechanics approach taken by the quantum information and communication community?

In a nutshell, space-time is a creation of the quantum world observing itself via the medium of particle interactions. How did the first particle interaction take place? In the beginning, as ever since, it is the universe interacting with itself, beginning from the first particle, the initial singularity, the divine primordial quantum of action interacting with itself as understood by the ancients, god the son is god the father's insight of itself, the first space creating act of insight. Quantum mechanically what we have is a unitary process of quantum evolution completed by 'measurement', an entropy increasing interaction [since what was one is now two, and so on ad transfinitum. Aquinas, Summa, I, 27, 1: Is there procession in God?

Effective communication requires insight, ie the understanding of the meaning of a coded message we receive. In natural langiage conversation between people familiar with one another the extraction of meaning is effectively instantaneous, particularly with simple messages like "it is your turn to pour the tea". [On] the other hand, the scientific decoding of the messages we receive

[page 161]

from the universe has been a very long process often fraught with erroneous hypotheses like the ideas about the nature of god, that is the entity that controls the world, in effect the nature of the world. Often, to ease the burden of proof, such hypotheses propose an invisible agent beyond human understanding and even beyond observation and therefore neither intelligible nor falsifiable, more of a political choice rather than science. Much of physics falls into this category, proposing a world ruled by invisible [infinitely complex] wave functions which, like the gods of old, are endowed with contradictory properties, equivalent in many cases to omniscience without representation. Alistair Crombie: The History of Science from Augustine to Galileo

The question remains: how do we go from Hilbert space to space-time and the answer would seem to have something to do with particles, which we understand as elements of embodied software beginning with pure act. As Aquinas notes, [for pure act] essence and existence are identical. [The system] then differentiates into a spectrum of particles each being physical information embodied in a quantum of action [serving as] the hardware foundation of the universe in which the transfinite computer network runs in space-time, an output of the transfinite quantum network operating in Hilbert space. The links between the quantum and the classical networks are embodied in Feynman's three rules:

1. probability of an event is the absolute square of the [associated] amplitude;
2. undetectable alternatives, add amplitude and then square;
3. detectable alternatives, square then add [resulting] probabilities.

What do these rules mean? They are related to visibility / detectability [/invisibility]. Feynman, Leighton & Sands FLP III:01: Chapter 1: Quantum Behaviour

[page 162]

And the fundamental question here is how do we explain the Minkowski metric in terms of quantum mechanics and Hilbert space [must it have to do with the difference between the real and complex inner products (metrics) in the two spaces?]. Since it is comletely univeral we must be able to see it embedded at the beginning of the universe when the "big 4" energy/time and momentum/space sprang into existence. We think E.t was the first break [in the symmetry of action] followed by x.p and we have to explain how this signature works as a fixed feature of the universe. Obviously the complex numbers have something to do with it in 2D E.t and then in 4D E/x, t/p explained by quaternions somewhat allied to Dirac spinors which are also 4D, related to spin ± e ±, and Lorentz transformation. H. Pierre Noyes: From Bit-Strings to Quaternions or From Here to Eternity

Hilbert space metric "psychological" insofar as it measures the distance between "ideas" ie forms, whereas space-time metric is "physical" measuring space-time distances. We are defining space as an entity in which p and not-p can exist simultaneously, ie it can contain orthogonal elements. This is true for both the basis vectors of Hilbert space [any number] and for both the basis vectors of Minkowski space and for points distributed in the space and parametrized by this basis. Is this getting us anywhere? What we should be talking about in real space is not so much orthogonal positions as orthogonal events, that is events [in space and time] inside and outside one another's causal cones given the local velocity of communication which may be c or (on a football field) human running pace.

The 'uncertainty principle' [measurement gap] suggests that space-time is pixellated in terms of quanta of action, that is orthogonal events need to be one quantum apart, the algorithm that separates fermions from one another. Just keep shuffling around and something wll emerge.

[page 163]

I dreamt something about this while I was having a snooze, but now it is gone [lost in the forest of my mind]. Maybe the answer is somewhere in my head or in the thousands of books in my house.

Ask the right question. What really is the problem? The quantum world is dynamic, the real world is static. An observation is a snapshot that picks out one scene in the quantum movie. Veltmann (page 33). That scene is picked out by thr existence of a common basis between observer and observe, just as in a conversation between us we touch on only a few shareable details of the immense store of information within each of us.

Wednesday 9 September 2020

Quantum computational opcode is represented by a matrix with complex entries known as a "gate". The size of the matrix is usually measured by some power of 2, [1], 2, 4, 8 . . . Martinus Veltman: Diagrammatica: The Path to the Feynman Rules

Where can I get more inspiration? I have moved so far from the standard narrative that the textbooks are not a lot of help except as sources of data and I am a long way from working out how to do calculations on the basis of my picture of the world but obviously nothing I say will have much effect until it can come up with some numbers that fit the world.

Perhaps the first step toward developing the relationship between Hilbert space and Minkowski space is to quantize gravitation by interpreting the differential operators in a differentiable manifold as quanta of action.

[page 164]

This might sound a bit dodgy to those who believe in the analytic approach to calculus to be found in books of formal mathematics (Hille) but in a sense we have no choice if we accept that operations (and therefore operators) in the real world are quantized and we make the hypothesis that any real operator is to be represented by a quantum of action must be turing computable if operations are to be deterministic. We can sort of deduce this from the fact that a computer is itself a network of communication, since logical processes are communications and so they must respect Shannon's theorems if they are to work, so they must be quantized. Einar Hille: Analytic Function Theory, Volume 1

So how do we construct a model differentiable manifold in a Hilbert space? We have enough variety to do it, and what we want is a closed 4D structure with the Minkowski metric whose curvature is perhaps enabled by an application of the uncertainty principle, although we should accept that the quantum of action and the velocity of light have naturally precisely fixed values.

Jammer: Evolution: Generating the tree of life is analogous to generating the tree of science, the intercommunication and adaptation of parts and wholes followed the explanation of the interface between quantum and classical outlined by Zurek. Science is engaged in putting our experiences into words and then using permutations of words to create new experiences like steam engines and smartphones. Max Jammer; Concepts of Force: A Study in the Foundations of Dynamics, Wojciech Hubert Zurek: Quantum origin of quantum jumps: breaking of unitary symmetry induced by information transfer and the transition from quantum to classical

Thursday 10 September 2020

[page 165]

From Jammer we get the impression of parallels between the evolution of science and the evolution of the world.

Jammer page 25: ' Force, as a regulative agent in nature, appears perhaps for the first time in Greek thought in Empedocles' doctrine of love and hate and Anaxagoras' theory of mind (nous)'.

page 34: Plato: force = dynamics from verb dynastai - to be able. The verb expresses not only the ability act on something else but the ability to be acted on as a "patient". Quantum of action ↔ quantum of patience ↔ kinetic / potential.

. . .

Friday 11 September 2020

Long dream teaching someone how to use a slide rule reminiscent of my greenie days of redoing all the calculations in environmental impact statements looking for false claims of costs, benefits, impacts etc.

We are thinking of the initial singularity as a massless particle identical to the quantum of action on the grounds that a particle is an event like me and the mass of a particle is a measure of its internal activity. We have to explain then how photons have energy but not mass [and there might be a clue in Brown page 693: '(Note that the quantum phase of a photon does not advance while in transit between its emission and absorption unlike massive particles. The oscillatory nature of electromagnetic waves arises from the advancing phase of the source rather than from any phase activity of a photon "in flight") ']. Kevin Brown: Reflections on Relativity

Liouville's theorem, and Newtonian and Hamiltonian mechanics in general specify constant entropy along the trajectory of a system (how does this relate to Boltzmann, Maxwell and the second law?) [perhaps the answer lies in the increase in entropy associated with quantum observation]. Liouville's theorem (Hamiltonian) - Wikipedia, Maxwell-Boltzmann statistics - Wikipedia

The photon appears to be the simplest particle, massless and closest to the quantum of action. What we are looking for is the principle that takes us from the quantum world and explains the velocity of light. Dimensions of h are ML2T-1, dimensions of c are LT-1, so dimensions of h/c are ML. Does this tell us anything? The killer proposal I am looking for is the relationship between Hilbert space and Minkowski space, which must be embodied in their respective metrics. I suspect the answer lies somewhere in cognitive space, the result of an 'insight' of the universe. Clearly we must find it somewhere in the progress of Hilbert space from 1 → 2 → 4 dimensions. Once again relying on the heuristic of simplicity. Is Minkowski space a patchwork of 4D Hilbert spaces observing one another in a tensor product of 4D Hilbert spaces, something close to the Dirac equation and my favourite particle, the Diron, devised by Dirac to match the quadratic behaviour of real space to the linear behaviour of Hilbert space spawning electrons and positrons with up and down spin. The layered network model suggests the electrons emerge from photons, suggesting that the simpler photon comes first, spawning all the electrically charged particles. There has got to be an explanation because the universe has done it, evolved from the initial singularity to the magnificent universe we inhabit, and it is up to the theologians, aided by all the other sciences, to explain this creation.

[page 167]

The key to the photon's velocity is its masslessness and we associate this velocity with the metric of space-time which is a matter of causality, psychology, communication and knowledge, and perhaps we should look to inverting the proof of the spin-statistics theorem, showing that the fermion-boson distinction is the cause of the velocity of light rather than the other way around [a premise rather than a conclusion]. Spin-statistics theorem - Wikipedia

Aquinas on intelligent control of the world I, 70 sqq Jammer page 51 [Aquinas interprets the creation of the world as a series of steps ("days"), rather as I am trying to do with the emergence of the universe from god "gigayears"].

Jammer page 53: 'The belief in the divine nature or in the divine origin of the celestial motive powers is characteristic of ancient and medieval science. Pierre Duhem dates the beginning of modern science from the moment when science dispensed from this assumption.' and replaced it with what? Pierre Duhem - Wikipedia

Saturday 12 September 2020

Observed from Minkowski space a photon appears to occupy neither space nor time. What does it look like in Hilbert space where Minkowski space and time do not exist? What does exist there? Orthogonal vectors meeting and overlapping [superposing] like reflections in glass.

Slim and I Slim and I - Wikipedia

Escape From Pretoria Escape from Pretoria - Wikipedia

It is very hard to imagine a world without light, a primary long distance connection along with gravitation.

[page 168]

Tim Jenkin page 151: '. . . it was the spiritual condition that mattered. Prison is prison and that means you have lost your liberty. No amount of privileges can compensate for that.' Tim Jenkin: Escape from Pretoria

On the whole my inclination is to ditch the vacuum which in effect says that the lowest energy state of the universe is infinity, whereas the zero entropy [and zero] energy state of the universe is 0, pure act, frequency zero, potential and kinetic energy undifferentiated. Who invented the vacuum anyway [a new version of the ether?] ? Following my heart. Why should the microcosmic world, which should be simple, be such a mess when the macroscopic world I inhabit seems pretty straightforward [as the reference notes, the discrepancy between theory and observation with respect to vacuum energy is a factor of the order of 10120]? Vacuum energy - Wikipedia

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Further reading

Books

Barrow, John D., and Frank J. Tipler, The Anthropic Cosmological Principle, Oxford University Press 1996 'This wide-ranging and detailed book explores the many ramifications of the Anthropic Cosmological Principle, covering the whole spectrum of human inquiry from Aristotle to Z bosons. Bringing a unique combination of skills and knowledge to the subject, John D. Barrow and Frank J. Tipler - two of the world's leading cosmologists - cover the definition and nature of life, the search for extraterrestrial intelligence, and the interpretation of the quantum theory in relation to the existence of observers.' 
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Brown, Kevin, Reflections on Relativity, Lulu.com 2018 ' "Reflections on Relativity" is a comprehensive presentation of the classical, special, and general theories of relativity, including in-depth historical perspectives, showing how the relativity principle has repeatedly inspired advances in our understanding of the physical world.' 
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Coulson, Charles A, Valence, Oxford University Press 1985  
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Deutsch, David, The Fabric of Reality: The Science of Parallel Universes - and its Implications, Allen Lane Penguin Press 1997 Jacket: 'Quantum physics, evolution, computation and knowledge - these four strands of scientific theory and philosophy have, until now, remained incomplete explanations of the way the universe works. . . . Oxford scholar DD shows how they are so closely intertwined that we cannot properly understand any one of them without reference to the other three. . . .' 
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Feynman, Richard P, and Robert B Leighton, Matthew Sands, The Feynman Lectures on Physics (volume 3) : Quantum Mechanics, Addison Wesley 1970 Foreword: 'This set of lectures tries to elucidate from the beginning those features of quantum mechanics which are the most basic and the most general. . . . In each instance the ideas are introduced together with a detailed discussion of some specific examples - to try to make the physical ideas as real as possible.' Matthew Sands 
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Hille, Einar , Analytic Function Theory, Volume 1, Chelsea 1973 Foreword: 'This book represents an effort to integrate the theory of analytic functions with modern analysis as a whole, in particular to present it as a branch of functional analysis, to which it gives concrete illustrations, problems and motivation.  
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Howarth, David, Waterloo: A Near Run Thing, Phoenix 2003 Amazon Product Description 'The first shots were fired at about eleven-thirty on a Sunday morning in June, 1815; by nine o'clock that night, forty thousand men lay dead or wounded, and Napoleon had abandoned not only his army, but all hope of recovering his empire. From the recollections of the men who were there, esteemed author David Howarth has recreated the battle as it appeared to them on the day it was fought. He follows the fortunes of men of all ranks and on both sides. But it is on the French side that the mysteries remain. Why did Ney attack with cavalry alone? And was Napoleon's downfall really due to the minor ailment he suffered that day? Beautifully written, vivid, and unforgettable, this illuminating history is impossible to put down.' 
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Jammer, Max, Concepts of Force: A Study in the Foundations of Dynamics, Dover 2011 'Both historical treatment and critical analysis, this work by a noted physicist takes a fascinating look at a fundamental of physics, tracing its development from ancient to modern times. Kepler's initiation of scientific conceptualization, Newton's definition, post-Newtonian reinterpretation — contrasting concepts of Leibniz, Boscovich, Kant with those of Mach, Kirchhoff, Hertz. In-depth analysis of contemporary trend toward eliminating force from conceptual scheme of physics. "An excellent presentation." — Science. 1962 edition.' 
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Popper, Karl Raimund, Conjectures and Refutations: The Growth of Scientific Knowledge, Routledge and Kegan Paul 1972 Preface: 'The way in which knowledge progresses, and expecially our scientific knowledge, is by unjustified (and unjustifiable) anticipations, by guesses, by tentative solutions to our problems, by conjectures. These conjectures are controlled by criticism; that is, by attempted refutations, which include severely critical tests.' [p viii]  
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Rasmussen, Carl Edward, and Christopher K I Williams, Gaussian Processes for Machine Learning (Adaptive Computation and Machine Learning), The MIT Press 2005 Amazon editorial review: 'The book deals with the supervised-learning problem for both regression and classification, and includes detailed algorithms. A wide variety of covariance (kernel) functions are presented and their properties discussed. Model selection is discussed both from a Bayesian and a classical perspective. Many connections to other well-known techniques from machine learning and statistics are discussed, including support-vector machines, neural networks, splines, regularization networks, relevance vector machines and others. Theoretical issues including learning curves and the PAC-Bayesian framework are treated, and several approximation methods for learning with large datasets are discussed. The book contains illustrative examples and exercises, and code and datasets are available on the Web. Appendixes provide mathematical background and a discussion of Gaussian Markov processes.' 
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Taleb, Nassim Nicholas, The Black Swan: The Impact of the Highly Improbable, Random House 2007 Amazon editorial review From Booklist 'In business and government, major money is spent on prediction. Uselessly, according to Taleb, who administers a severe thrashing to MBA- and Nobel Prize-credentialed experts who make their living from economic forecasting. A financial trader and current rebel with a cause, Taleb is mathematically oriented and alludes to statistical concepts that underlie models of prediction, while his expressive energy is expended on roller-coaster passages, bordering on gleeful diatribes, on why experts are wrong. They neglect Taleb's metaphor of "the black swan," whose discovery invalidated the theory that all swans are white. Taleb rides this manifestation of the unpredicted event into a range of phenomena, such as why a book becomes a best-seller or how an entrepreneur becomes a billionaire, taking pit stops with philosophers who have addressed the meaning of the unexpected and confounding. Taleb projects a strong presence here that will tempt outside-the-box thinkers into giving him a look.' Gilbert Taylor Copyright © American Library Association. All rights reserved 
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Veltman, 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. ...' 
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Links

Alex Lo, How to rule under the heaven, ' In recent years, many mainland intellectuals have acquired a great enthusiasm for an international relations theory that may be summed up in one word, or rather two Chinese characters: tianxia. Literally, it’s sky/heaven and down/under. As a phrase, it’s often translated as “all under the heaven”. More colloquially, it just means the world or everywhere.' back

Allam, Wahlquist & Butler, Rio Tinto misled Juukan Gorge inquiry and 'can't plead ignorance' as a defence, committee chair says, ' The chair of a parliamentary committee examining Rio Tinto’s destruction of 46,000-year-old rock shelters at Juukan Gorge in the Pilbara says the company appears to have misled the inquiry. “It is hard to argue that we have not been misled by Rio Tinto’s evidence to the inquiry when you look at what was said together with the documents the company has provided on notice,” Queensland LNP MP Warren Entsch told Guardian Australia. “It is a profound statement to say that senior executives did not know when the company has been aware since the early 2000s of the significance of the caves.” Entsch’s attack came as the parliamentary inquiry was forced to indefinitely delay a planned site visit to Juukan Gorge – a decision the traditional owners, the Puutu Kunti Kurrama and Pinikura (PKKP) people, said would “rob us of a voice in the proceedings”.' back

Amira Hass, An Explosive Letter From Israel's Longest Serving Palestinian Prisoner, ' Karim Younes, the longest-serving Palestinian prisoner in an Israeli jail, sent a letter to the Fatah Central Committee (of which he is a member) in which he details allegations against another Fatah prisoner. The gist of it: Thanks to his relations with the Israel Prison Service and the Shin Bet security service, that prisoner has accumulated personal power and money and maintains his authority by intimidating other prisoners, “If even only half the accusations are true, it’s enough to shock and concern all of us,” several Fatah members told Haaretz.' back

Aquinas, Summa, I, 27, 1, Is there procession in God?, 'As God is above all things, we should understand what is said of God, not according to the mode of the lowest creatures, namely bodies, but from the similitude of the highest creatures, the intellectual substances; while even the similitudes derived from these fall short in the representation of divine objects. Procession, therefore, is not to be understood from what it is in bodies, either according to local movement or by way of a cause proceeding forth to its exterior effect, as, for instance, like heat from the agent to the thing made hot. Rather it is to be understood by way of an intelligible emanation, for example, of the intelligible word which proceeds from the speaker, yet remains in him. In that sense the Catholic Faith understands procession as existing in God.' back

Aquinas, Summa, I, 70, 1, Should the lights have been produced on the fourth day?, ' I answer that, In recapitulating the Divine works, Scripture says (Genesis 2:1): "So the heavens and the earth were finished and all the furniture of them," thereby indicating that the work was threefold. In the first work, that of "creation," the heaven and the earth were produced, but as yet without form. In the second, or work of "distinction," the heaven and the earth were perfected, either by adding substantial form to formless matter, as Augustine holds (Gen. ad lit. ii, 11), or by giving them the order and beauty due to them, as other holy writers suppose. To these two works is added the work of adornment, which is distinct from perfect. For the perfection of the heaven and the earth regards, seemingly, those things that belong to them intrinsically, but the adornment, those that are extrinsic, just as the perfection of a man lies in his proper parts and forms, and his adornment, in clothing or such like.' back

Ashley Parker & Rosalind Helderman, In new book, former Trump lawyer Michael Cohen decribes alleged episodes of racism and says president like how Putin runs Russia , ' In the book, “Disloyal: A Memoir,” which was obtained by The Washington Post ahead of its Tuesday publication date, Cohen lays out an alarming portrait of the constellation of characters orbiting around Trump, likening the arrangement to the mafia and calling himself “one of Trump’s bad guys.” He describes the president, meanwhile, as “a cheat, a liar, a fraud, a bully, a racist, a predator, a con man.” ' back

Ben Schreckinger, How Legal Weed Destroyed a Counterculture Icon, ' But now that cannabis has become legal across much of the country, High Times finds itself in a different kind of trouble. A review of SEC disclosures and court filings as well as dozens of interviews with former staffers and others with insight into its operations paint a picture of a company that has traded in its credibility in cannabis circles to chase big “green rush” profits that have not materialized.' back

Circle group - Wikipedia, Circle group - Wikipedia, the free encyclopedia, ' In mathematics, the circle group, denoted by T, is the multiplicative group of all complex numbers with absolute value 1, i.e., the unit circle in the complex plane or simply the unit complex numbers.' back

Codec - Wikipedia, Codec - Wikipedia, the free encyclopedia, 'A codec is a device or computer program capable of encoding or decoding a digital data stream or signal. Codec is a portmanteau of coder-decoder or, less commonly, compressor-decompressor.' 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

Escape from Pretoria - Wikipedia, Escape from Pretoria - Wikipedia, the free encyclopedia, ' Based on a book by one of the escapees, Jenkin, Inside Out: Escape from Pretoria Prison, the film tells the true-life story of political prisoners Tim Jenkin (played by Radcliffe) and Stephen Lee (played by Webber), two white South Africans who, along with other prisoners, hatched a plot to break out of Pretoria Central Prison in 1979 after being imprisoned on charges of "producing and distributing 18 different pamphlets on behalf of banned organisations" (including the ANC) during the apartheid era in South Africa.' back

Feynman, Leighton & Sands FLP III:01, Chapter 1: Quantum Behaviour, 'The gradual accumulation of information about atomic and small-scale behavior during the first quarter of the 20th century, which gave some indications about how small things do behave, produced an increasing confusion which was finally resolved in 1926 and 1927 by Schrödinger, Heisenberg, and Born. They finally obtained a consistent description of the behavior of matter on a small scale. We take up the main features of that description in this chapter.' back

George Williams, Disquiet over Heydon's role difficult to dispel, 'This process should be abandoned and replaced with the decision being made by an independent judge. The problem is especially acute when it comes to royal commissioners. They lack the independence of the judiciary, need not be legally trained and as political appointees can be hired and fired by the government at will. The idea that such a person should determine whether they are disqualified from their own job is wrong in principle and runs counter to community expectations of how the legal system should operate.' back

H. Pierre Noyes, From Bit-Strings to Quaternions or From Here to Eternity, ' In Chapter 2 I follow the route from bit-strings to quaternions as far as I can. As Stan Gudder pointed out to me last spring, to complete this work would require me to model “vector addition”. I now realize that this necessarily “expands the space” in which the finite vectors with which we start operate, and hence must involve concatenation as well as discrimination. Thus it has more to do with cosmology than the particle physics which is my immediate focus. In thinking about this I finally realized that for particle physics (or minimally for finite particle number relativistic scattering theory) all I probably need is rotations and boosts, not vector addition. Further thought led me to try modeling quantum numbers directly with less reliance on “geometric” visualizations. I have made some progress along these lines, and report it in Chapter 3.' back

Jefftrey Goldberg, Trump: Americans Who Died in War Ae 'Loserd" and "Suckers", ' When President Donald Trump canceled a visit to the Aisne-Marne American Cemetery near Paris in 2018, he blamed rain for the last-minute decision, saying that “the helicopter couldn’t fly” and that the Secret Service wouldn’t drive him there. Neither claim was true. Trump rejected the idea of the visit because he feared his hair would become disheveled in the rain, and because he did not believe it important to honor American war dead, according to four people with firsthand knowledge of the discussion that day. In a conversation with senior staff members on the morning of the scheduled visit, Trump said, “Why should I go to that cemetery? It’s filled with losers.” In a separate conversation on the same trip, Trump referred to the more than 1,800 marines who lost their lives at Belleau Wood as “suckers” for getting killed.' back

Kenneth Chang, A Physics Magic Trick: Take 2 Sheetd of Graphene and Twist, ' Scientists imagined all of the remarkable things that graphene might be made into: transistors, sensors, novel materials. But after studying and cataloging its properties, scientists moved on to other problems. Practical uses have been slow to come, because part of what makes graphene alluring — its strength — also makes the material difficult to cut into precise shapes. Last year, graphene burst back on the physics research scene when physicists at the Massachusetts Institute of Technology discovered that stacking two sheets of the material, twisted at a small angle between them, opened up a treasure box of strange phenomena. It started a new field: twistronics.' back

Liouville's theorem (Hamiltonian) - Wikipedia, Liouville's theorem (Hamiltonian) - Wikipedia, the free encyclopedia, 'In physics, Liouville's theorem, named after the French mathematician Joseph Liouville, is a key theorem in classical statistical and Hamiltonian mechanics. It asserts that the phase-space distribution function is constant along the trajectories of the system — that is that the density of system points in the vicinity of a given system point travelling through phase-space is constant with time.' back

Lovin' Spoonful, Darling Be Home Soon, back

Matt McDonald, Global pressure exposes the limits of Australian foreign policy, 'Even on the government’s own terms – a commitment to national security and the national interest – its foreign policy comes up short. National security requires international co-operation in response to increasingly transnational problems. Until the government understands this reality, its foreign policy will not genuinely serve Australia’s long-term interests. And Australia will certainly not be seen as a credible international player.' back

Maxwell-Boltzmann statistics - Wikipedia, Maxwell-Boltzmann statistics - Wikipedia, the free encyclopedia, 'In statistical mechanics, Maxwell–Boltzmann statistics describes the statistical distribution of material particles over various energy states in thermal equilibrium, when the temperature is high enough and density is low enough to render quantum effects negligible.' back

Michael Bradley, The slippery slope of justifying air strikes in Syria, 'There are two elements to this. First, is it possible to achieve the military aim of permanently degrading or destroying an armed insurgency from the air alone? Secondly, can you destroy an ideology? Both these questions are answered by history. No war has ever been won from the air. Ground forces are always required, one way or the other. A lot of IS fighters have been killed, and maybe eventually it can be fought to enough of a standstill that the remainder give up the cause. The cause will still exist. Our refusal to learn the lessons of past experience guarantees that the seeds of future wars are being sewn by our approach to winning the current one. If IS is the bastard child of Al Qaeda, it's not pleasant to imagine what the grandkids are going to look like.' back

Mick Chisnall, Progressive politics is losing to a fantasy state of mind, 'Why are we increasingly seeing voters support policies that, superficially at least, are against their own interests? In California, Central Valley farmers face a crisis. Despite their livelihoods depending on large numbers of unauthorised workers, the group overwhelmingly supported Donald Trump, who campaigned on deporting “illegals”.' back

Mickey Guynton, What Are You Gonna Tell Her, ' She thinks life is fair and
God hears every prayer
And everyone gets their ever after
She thinks love is love and if
You work hard, that's enough
Skin's just skin and it doesn't matter
And that her friend's older brother's gonna keep his hands to himself
And that somebody's gon' believe her when she tells
But what are you gonna tell her
When she's wrong?
Will you just shrug and say it's been that way all along?
What are you gonna tell her
When she figures out
That all this time you built her up just so the world could let her down?
Yeah, what do you tell her?
What are you gonna tell her?
Do you just let her pretend
That she could be the president?
Would it help us get there any faster?
Do you let her think the deck's not stacked?
And gay or straight or white or black
You just dream and anything can happen
What are you gonna tell her
When she's wrong?
Will you just shrug and say it's been that way all along?
What are you gonna tell her
When she figures out
That all this time you built her up just so the world could let her down?
Yeah, what do you tell her? Mmm
What are you gonna tell her?
Do you tell her not to fight?
Is it worth the sacrifice?
Can you look her in the face
And promise her that things'll change?
What are you gonna tell her?
Maybe you can't
'Cause there ain't no way, you can't explain what you don't understand
What the hell do you tell her?
What the hell do you tell her? Oh
What are you gonna tell her?
What are you gonna tell her?
back

Mickey Guyton, Black Like Me, 'Little kid in a small town
I did my best just to fit in
Broke my heart on the playground, mmh
When they said I was different

Oh, now
Now, I'm all grown up and nothin' has changed
Yeah, it's still the same

It's a hard life on easy street
Just white painted picket fences far as you can see
If you think we live in the land of the free
You should try to be black like me

My daddy worked day and night
For an old house and a used car
Just to live that good life, mmh
It shouldn't be twice as hard

Oh, now
Now, I'm all grown up and nothin' has changed
Yeah, it's still the same

It's a hard life on easy street
Just white painted picket fences far as you can see
If you think we live in the land of the free
You should try to be, oh, black like me

Oh, I know
I'm not
The only one
Oh, yeah
Who feels
Like I
I don't belong It's a hard life on easy street Just white painted picket fences far as you can see And if you think we live in the land of the free You should try to be, oh, black like me Oh, and some day we'll all be free And I'm proud to be, oh, black like me And I'm proud to be black like me I'm proud to be black like me Black like me back

Nicholas Kristof, 'We're No. 28 and Dropping!', ' The newest Social Progress Index, shared with me before its official release Thursday morning, finds that out of 163 countries assessed worldwide, the United States, Brazil and Hungary are the only ones in which people are worse off than when the index began in 2011. And the declines in Brazil and Hungary were smaller than America’s. “The data paint an alarming picture of the state of our nation, and we hope it will be a call to action,” Michael Porter, a Harvard Business School professor and the chair of the advisory panel for the Social Progress Index, told me. “It’s like we’re a developing country.” ' back

Paul Daley, A dark chapter of history is tied up in the name of the Canning electorate, 'Some of the desert people agreed to help Canning blaze the track and find the water so that as many as 800 stock could be watered at each well, a day’s walk apart. Others were coerced – chained by the neck and fed salt so that maddening thirst would force them to lead Canning and his men to the water. Maltreatment of the black people was endemic.
This week, with the name Canning ringing in my head, I paid a visit to Kaninjaku – stories from the Canning Stock Route, an exhibition at the National Museum of Australia. Kaninjaka, drawn largely from the NMA’s extensive stock route collection, is based on a larger museum exhibition about the Canning track that toured Australia a few years ago.' back

Paul Krugman, Trump's Coronavirus Response Was Beyond Incompetent, ' Until this week I thought that Donald Trump’s disastrous mishandling of Covid-19 was basically negligence, even if that negligence was willful — that is, that he failed to understand the gravity of the threat because he didn’t want to hear about it and refused to take actions that could have saved thousands of American lives because actually doing effective policy isn’t his kind of thing. But I was wrong. According to Bob Woodward’s new book, “Rage,” Trump wasn’t oblivious; he knew by early February that Covid-19 was both deadly and airborne. And this isn’t a case of conflicting recollections: Woodward has Trump on tape. Yet Trump continued to hold large indoor rallies, disparage precautionary measures and pressure states to reopen business despite the risk of infection.' back

Pierre Duhem - Wikipedia, Pierre Duhem - Wikipedia, the free encyclopedia, ' Pierre Maurice Marie Duhem (9 June 1861 – 14 September 1916) was a French theoretical physicist who worked on thermodynamics, hydrodynamics, and the theory of elasticity. Duhem was also a historian of science, noted for his work on the European Middle Ages which is regarded as having created the field of the history of medieval science.[5] As a philosopher of science, he is remembered principally for his views on the indeterminacy of experimental criteria (see Duhem-Quine thesis).' back

Planck-Einstein relation - Wikipedia, Planck-Einstein relation - Wikipedia, the free encyclopedia, 'The Planck–Einstein relation. . . refers to a formula integral to quantum mechanics, which states that the energy of a photon (E) is proportional to its frequency (ν). E = hν. The constant of proportionality, h, is known as the Planck constant.' back

Ray Monk, Stephen Hawking' Review: Farsighted and Stubborn, Review of Leonard Mlodinow “Stephen Hawking: A Memoir of Friendship and Physics": '. . .Mr. Mlodinow’s memoir genuinely has something to add, insights that are not to be found elsewhere. At the center of the book is an account of the five years he and Hawking spent on the successor to “A Briefer History of Time”: “The Grand Design: New Answers to the Ultimate Questions of Life” (2010). As its title suggests, this is a much more ambitious book, attempting nothing less than an answer to what the authors call “the mystery of being.” Writing it was a slow and in some ways painful process. As Mr. Mlodinow puts it: “Unlike the agreeableness Stephen had exhibited when we worked on Briefer History, with this project he would prove ready to debate every point, no matter how small. It was a slow process, like when ants carry bits of leaf across a road to build a fungus farm.” ' back

Remy Davidson, The quantitiative easing experiment if ending in global recession, 'But fear not. Goldman Sachs’ economists have spoken: “Global recession is very unlikely.” Ah, economists. People who are good with numbers, but lack the personality to be accountants.' back

Rhiannon Williams, iphone 6S launch: Apple prepares for life after the iPhone, back

Richard Feynman, Lectures on Physics III:17 Symmetry and Conservation Laws, 'The most beautiful thing of quantum mechanics is that the conservation theorems can, in a sense, be derived from something else, whereas in classical mechanics they are practically the starting points of the laws. . . . In quantum mechanics, however, the conservation laws are very deeply related to the principle of superposition of amplitudes, and to the symmetry of physical systems under various changes. This is the subject of the present chapter. Although we will apply these ideas mostly to the conservation of angular momentum, the essential point is that the theorems about the conservation of all kinds of quantities are—in the quantum mechanics—related to the symmetries of the system.' back

Slim and I - Wikipedia, Slim and I - Wikipedia, the free encyclopedia, ' Slim and I is a 2020 Australian documentary film about the life of Joy McKean and Slim Dusty. The documentary came about through the passion of Slim and Joy's grandson James Arneman, who had compiled an archive of old footage of the families touring days. The family was approached by film producer Chris Brown before director Kriv Stenders joined the project. Stenders said "The idea to tell their story through the lens of Joy was something that I found very interesting about this project and made me want to be involved the documentary. I knew very little about Slim and Joy, but I listened to their music and read the books about their lives and discovered such an incredible story that needed to be told." ' back

Spin-statistics theorem - Wikipedia, Spin-statistics theorem - Wikipedia, the free encyclopedia, 'In quantum mechanics, the spin–statistics theorem relates the spin of a particle to the particle statistics it obeys. The spin of a particle is its intrinsic angular momentum (that is, the contribution to the total angular momentum that is not due to the orbital motion of the particle). All particles have either integer spin or half-integer spin (in units of the reduced Planck constant ħ). The theorem states that: The wave function of a system of identical integer-spin particles has the same value when the positions of any two particles are swapped. Particles with wave functions symmetric under exchange are called bosons. The wave function of a system of identical half-integer spin particles changes sign when two particles are swapped. Particles with wave functions antisymmetric under exchange are called fermions.' back

Tim Cook - Wikipedia, Tim Cook - Wikipedia, the free encyclopedia, 'On October 30, 2014, Cook came out as gay in an editorial for Bloomberg Businessweek, stating "I'm proud to be gay, and I consider being gay among the greatest gifts God has given me."[48] Cook also explained that he has been open about his sexuality "for years" and, while many people at Apple were aware of his sexual orientation, he sought to focus on Apple's products and customers rather than his personal life. He ended the article by saying "We pave the sunlit path toward justice together, brick by brick. This is my brick." As a result, Tim Cook became the first openly gay CEO on the Fortune 500 list. back

Tim Jenkin, Escape from Pretoria, Jacket: ' "In South Africa's most sensational escape of political prisoners three men serving long sentences under the Terrorism Act yesterday broke out of the security wing of Pretoria Central Prison," The Guardian 13.12.79. "It is still a mystery how they managed to escape unnoticed because they had to go through several steel doors before reaching the outside wall." Rand Daily Mail 12.12.79.' back

Tim Jenkin - Wikipedia, Tim Jenkin - Wikipedia, the free encyclopedia, ' Timothy Peter Jenkin (born 1948) is a South African writer, former anti-apartheid activist and political prisoner. He is best known for his 1979 escape from Pretoria Local Prison (part of the Pretoria Central Prison complex), along with Stephen Lee and Alex Moumbaris.' 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

Wojciech Hubert Zurek, Quantum origin of quantum jumps: breaking of unitary symmetry induced by information transfer and the transition from quantum to classical, 'Submitted on 17 Mar 2007 (v1), last revised 18 Mar 2008 (this version, v3)) Measurements transfer information about a system to the apparatus, and then further on – to observers and (often inadvertently) to the environment. I show that even imperfect copying essential in such situations restricts possible unperturbed outcomes to an orthogonal subset of all possible states of the system, thus breaking the unitary symmetry of its Hilbert space implied by the quantum superposition principle. Preferred outcome states emerge as a result. They provide framework for the “wavepacket collapse”, designating terminal points of quantum jumps, and defining the measured observable by specifying its eigenstates.' back

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