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vol VII: Notes

2018

Notes

Sunday 19 August 2018 - Saturday 25 August 2018

[Notebook: DB 82: Life and Death]

[page 255]

Sunday 19 August 2018

Second semester essay time is coming around again, philosophy of mind and naturalizing morality. What do I want to say? Broad brush, the universe is divine, and the best way to understand it is as the mind of God, the omniscient and omnipotent creator, a theological / philosophical framework. Then the evolutionary framework, across the board, from fundamental physics to social evolution. This framed in the network model, running from quantum mechanics to human social networks, based around the selfish gene / selfish formalism model. All this is based on [the] reproduction, variation, selection core of evolution, raising question of intelligent design vs bind watchmakers, built around Gödel / requisite variety.

Monday 20 August

From energy to space is the advent of memory, ie

[page 256]

the advent of slow[er] change. In the limit, space and time are orthogonal in an inertial frame, although they are mixed by the Lorentz transformation between inertial frames in relative motion. We are trying to understand space as a dynamic foundation for reality [since it is / contains energy and momentum]. It may be, for instance that the dynamics of photons and gravitons are processes intrinsic to space-time itself insofar as we see space as memory we can see it as a repository of the formal software of the universe. The ideal is implicit in quantum field theory which sees spacetime as the domain of fields and we can think of the software of functions stored in their domain rather than in the functions themselves — algorithms written in space and executed in spacetime. All these words are attempts to reframe the harmonic paradigm in the logical paradigm.

What we are always seeking is insight into the functioning of the universe in order to improve our lot, pleasure, fitness, satisfaction. What we are particularly seeking to know is how insight itself works, both ontologically and epistemologically, understanding the species that exist, where by species we mean an embodied algorithm able to maintain its own existence in the environment it occupies.

The selective advantage of formalism is that it is both eternal and very easily reproduced because it has a very slow requirement for physical support eg ratio of mass of DNA to mass of cell is ?.

6 years ago Cecilia Bucci Università del Salento As far as I know, a rough estimation is about 6 picograms of DNA for a human cell.

8 months ago Dody Bautista Added an answer The normal haploid genome is 3.2 x 10^9 bp. At 660g/mole-bp and Avogadro's number of 6.02 x 10^23 bp/mole, I get 3.5 x 10^-12 g/haploid genome, or 3.5 picogram per genome. The diploid genome then is about 7 picograms. Julian Savatier: What is the mass of totsl DNA in a mammalian cell?

[page 257]

Zee page 7: Path integral formulation of Quantum Mechanics. Zee: Quantum Field Theory in a Nutshell

The path integral gives us the action from t1 to t2, integrating all the phases and we expect only the in-phase part to survive as the path of the stationary action since we are integrating over the whole of space in a series of time slices (which makes little sense in the relativistic case) so on average opposing phases cancel out. Although Dirac and Feynman assumes that action is a continuous quantity, the fact is that it is quantized and a quantum of action is represented by a complete cycle of phase so that stationary action can only refer to a phase of 0 2π, the de Broglie idea that atomic orbitals are specified by circumferences which coincide with a whole number of phase steps in momentum supports this interpretation so we conclude that all quantum processes involve an integral number of quanta of action [which ties in nicely with the idea that the universe is logical to the core].

Conserved quantities are orthogonal to time, ie a form of space.

The universe has memory conservation / laws.

How do we explain that electrical force is so strong, ie it has a high frequency of transmission, unlike gravitation, which is roughly E40 weaker. Is electrical force somehow built into space-time as is seems to be built into photons.

All quantum mechanical calculations are concerned with computing the phases of probability amplitudes. The quantum of action is effectively the quantization of phase so all continuous functions in quantum mechanics are effectively statistical functions arising from the superposition by communication of large numbers of different phases, as we see in networks connecting clocks with different

[page 258]

rates which yield different rates via applications of the Born rule.

Tuesday 21 August 2018
Wednesday 22 August 2018

'Culture and society make each other up' Schweder Cultural Psychlogy — dual spaces [connected by metric] Schweder Why do Men Barbecue?: Recipes for Cultural Diversity

The synaptic weights determines the coefficient of the probability amplitude of the dendrite feeing a particular synapse. The brain is a frequency based network, the frequency of quantized action potentials.

'You know how Argentinians kill themselves? By jumping off their egos.' Francis: Pray for Me - Wikipedia

Quantum mechanics in the time dimension describes music in a hilbert space with one dimensions per frequency beginning at approximately 40kHz and going all the way down to the frequency whose reciprocal is [half] the length of the piece. This is sufficient information to encode the whole piece, say the 9th symphony, the lowest frequency is one cycle in 80 minutes = 4800 seconds, so a dimension fo 40 000 x 5000 = 200 million is sufficient.

Have I learnt anything since I started school 68 years ago? Has the world learnt anything in this time? Have I kept up? Have I got anything to offer?

[page 259]

Thursday 23 August 2018

Standard model is genotype of universe. QFT, via Feynman diagrams gives us very neural view of the functioning of the world. Add to this Shannon's view of the nature of maximum entropy messages.

Philosophy of mind: Wish to develop the analogy between the standard model and the human mind as a step toward panpsychism or psychophysics. The central notion, to be illustrated by QED [QFT] is comparing the structure of the Feynman version of QED to a toy model of the Central Nervous System. This has two elements — first the synaptic [probability amplitude] entering a particular vertex are, in QED, computed by Feynman's path integral. Secondly, the synaptic inputs to a neuron and the extensive range of Feynman diagrams, up to millions, necessary to compute precisely the energy of an interaction, beginning with the archetypical Lamb shift, etc etc.

We can imagine the input to a neuron through its synapses as similar to the many paths input to an event. The phases [and weights] of the inputs are integrated by the neuron to determine the frequency of the output.

The flow of information in an axon or dendrite may be represented by a complex wave-function, even though the signal, the action potential (electrochemical stimulation) [comprises discrete spikes].

Friday 24 August 2018

Action potentials are effectively quantized.

[page 260]

They have constant amplitude but the potentials, reaching a given neuron, differ in phase. Because action potential travel at a fixed velocity, relative phase depends on distance travelled. The inputs of action potentials to a neuron are a function of both phase and synaptic weights [because velocities are finite, we can have spacelike separation of neurons, as in spacetime].

The network is intelligent because it can connect and therefore delete contradictions, as quantum phase does when we come to fermions. If we think of evolution in network terms, we see the selection process as [non] deletions of [individuals that contradicted their environment].

Maybe we should think about the idea that time is continuous such that it is related to energy and gravitation so there is no information, no possibility of error and so no need for digitization. We may think of digitization in terms of orthogonality, and so the 4 orthogonal dimensions of space-time are the first step in digitization. In other words, we need space to differentiate identical particles — another broad way of looking at things.

See axon, dendrite. Axon - Wikipedia, Dendrite - Wikipedia

[page 261]

Listening to 1D quantum mechanics by America. We see energy being quantized by space and momentum, ie the frets on a guitar or the circumference of an electronic orbital. So we might think that first appearance of energy is an infinite untuned superposition of frequencies and timing arrives by a selective process, producing a fixed space by a harmony of frequencies.

Saturday 25 August 2018

Maybe we can thing of the spin-statistics theorem as the bootstrapping of space-time. The finite velocity of light creates spacelike intervals which are the source of the distinction between fermion and bosons (?) which are the source of [spatial extension] through the exclusion principle. What is the range of the exclusion principle? We might think of it as a spacelike "field" which extends as far as spacelike intervals and so is in some way responsible for actualizing the expansion of the universe which is made possible by the absence of an a priori metric in space-time. Another possibility to think about is that the existence of spacelike intervals is a consequence of the orthogonality of space-time.

The genotype is an abstract version of the phenotype, it is in effect knowledge, a symmetry, just as ideas are an abstract version of the world and this writing is an abstract version of some thoughts.

Philosophers seem to be a lot more simple minded than engineers.

Streater and Wightman 1963, 1968, 2000. Streater & Wightman: PCT, Spin, Statistics and All That

[page 262]

. . .

Streater and Wightman page 1: '. . . classical theory of Maxwell and Lorentz . . . well known to be afflicted with diseases arising from the infinite electromagnetic inertia of point particles.

'In fact the Main Problem of quantum field theory turned out to be kill it or cure it: either show that the idealizations involved in the fundamental notions of the theory (relativistic, invariance, quantum mechanics, local fields etc) are incompatible in some physical sense, or to recast the theory in such a form that it provides a practical language for the description of elementary particle dynamics.' (see notes 21/February/2010)

page 4: 'unit ray' = circle group corresponding to one axis of Hilbert space. Circle group - Wikipedia

page 4: some states not physically realisable, ie a superposition of states with different charges Q. Every physical state must be eigenstate of baryon number and (-1)F, where F is an even number for states of integer spin and add for half-integer spin.

super-selection rules single out certain states as not physically realizable.

Q, B and (-1)F define subspaces in H in which superposition holds - charge, baryon and univalence superselection rules.

[page 263]

Heisenberg [picture]; fixed vectors, variable operators. Each superselection rule describes a set of commuting operators which occupy orthogonal subspaces of H.

Streater & Wightman page 7: Symmetry is a transformation which preserves transition probabilities.

page 9: Most important symmetries of relativistic quantum mechanics arise from Lorentz transformation. Lorentz invariant scalar product of two four-vectors is xμyμ where xμ = gμνyν where gμν = gμν = diag 1, -1, -1, -1.

page 9: Λx.Λy = x.y: Lorentz maps space-time onto space-time.

Movies depend on folk psychology to get their meaning, and as the zeitgeist changes, so do the popular works of art.

Copyright:

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Further reading

Books

Click on the "Amazon" link below each book entry to see details of a book (and possibly buy it!)

Ashby, W Ross, An Introduction to Cybernetics, Methuen 1964 'This book is intended to provide [an introduction to cybernetics]. It starts from common-place and well understood concepts, and proceeds step by step to show how these concepts can be made exact, and how they can be developed until they lead into such subjects as feedback, stability, regulation, ultrastability, information, coding, noise and other cybernetic topics.' 
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Cantor, Georg, Contributions to the Founding of the Theory of Transfinite Numbers (Translated, with Introduction and Notes by Philip E B Jourdain), Dover 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.' 
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Lo, Hoi-Kwong, and Tim Spiller, Sandra Popescu, Introduction to Quantum Computation and Information, World Scientific 1998 Jacket: 'This book provides a pedagogical introduction to the subjects of quantum information and computation. Topics include non-locality of quantum mechanics, quantum computation, quantum cryptography, quantum error correction, fault tolerant quantum computation, as well as some experimental aspects of quantum computation and quantum cryptography. A knowledge of basic quantum mechanics is assumed.' 
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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' 
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Mantel, Hilary, Wolf Hall, Henry Holt and Co. 2009 'Amazon Best of the Month, October 2009: No character in the canon has been writ larger than Henry VIII, but that didn't stop Hilary Mantel. She strides through centuries, past acres of novels, histories, biographies, and plays--even past Henry himself--confident in the knowledge that to recast history's most mercurial sovereign, it's not the King she needs to see, but one of the King's most mysterious agents. Enter Thomas Cromwell, a self-made man and remarkable polymath who ascends to the King's right hand. Rigorously pragmatic and forward-thinking, Cromwell has little interest in what motivates his Majesty, and although he makes way for Henry's marriage to the infamous Anne Boleyn, it's the future of a free England that he honors above all else and hopes to secure. Mantel plots with a sleight of hand, making full use of her masterful grasp on the facts without weighing down her prose. The opening cast of characters and family trees may give initial pause to some readers, but persevere: the witty, whip-smart lines volleying the action forward may convince you a short stay in the Tower of London might not be so bad... provided you could bring a copy of Wolf Hall along. '--Anne Bartholomew 
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Newton, Isaac, and Julia Budenz, I. Bernard Cohen, Anne Whitman (Translators), The Principia : Mathematica: l Principles of Natural Philosophy, University of California Press 1999 This completely new translation, the first in 270 years, is based on the third (1726) edition, the final revised version approved by Newton; it includes extracts from the earlier editions, corrects errors found in earlier versions, and replaces archaic English with contemporary prose and up-to-date mathematical forms. . . . The illuminating Guide to the Principia by I. Bernard Cohen, along with his and Anne Whitman's translation, will make this preeminent work truly accessible for today's scientists, scholars, and students. 
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Nielsen, Michael A, and Isaac L Chuang, Quantum Computation and Quantum Information, Cambridge University Press 2000 Review: A rigorous, comprehensive text on quantum information is timely. The study of quantum information and computation represents a particularly direct route to understanding quantum mechanics. Unlike the traditional route to quantum mechanics via Schroedinger's equation and the hydrogen atom, the study of quantum information requires no calculus, merely a knowledge of complex numbers and matrix multiplication. In addition, quantum information processing gives direct access to the traditionally advanced topics of measurement of quantum systems and decoherence.' Seth Lloyd, Department of Quantum Mechanical Engineering, MIT, Nature 6876: vol 416 page 19, 7 March 2002. 
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Schweder, Richard A, Why do Men Barbecue?: Recipes for Cultural Diversity, Harvard University Press 'This book is a collection of papers, several of them written with others, whose common theme is the difficulty people have in responding to cultural differences. Many of these differences revolve around assumptions about the proper roles for men and women, hence the title.' Economistback

Streater, Raymond F, and Arthur S Wightman, PCT, Spin, Statistics and All That, Princeton University Press 2000 Amazon product description: 'PCT, Spin and Statistics, and All That is the classic summary of and introduction to the achievements of Axiomatic Quantum Field Theory. This theory gives precise mathematical responses to questions like: What is a quantized field? What are the physically indispensable attributes of a quantized field? Furthermore, Axiomatic Field Theory shows that a number of physically important predictions of quantum field theory are mathematical consequences of the axioms. Here Raymond Streater and Arthur Wightman treat only results that can be rigorously proved, and these are presented in an elegant style that makes them available to a broad range of physics and theoretical mathematics.' 
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Wigner, Eugene, Symmetries and Reflections: Scientific Essays , MIT Press 1970 Jacket: 'This volume contains some of Professor Wigner's more popular papers which, in their diversity of subject and clarity of style, reflect the author's deep analytical powers and the remarkable scope of his interests. Included are articles on the nature of physical symmetry, invariance and conservation principles, the structure of solid bodies and of the compound nucleus, the theory of nuclear fission, the effects of radiation on solids, and the epistemological problems of quantum mechanics. Other articles deal with the story of the first man-made nuclear chain reaction, the long term prospects of nuclear energy, the problems of Big Science, and the role of mathematics in the natural sciences. In addition, the book contains statements of Wigner's convictions and beliefs as well as memoirs of his friends Enrico Fermi and John von Neumann. Eugene P. Wigner is one of the architects of the atomic age. He worked with Enrco Fermi at the Metallurgical Laboratory of the University of Chicago at the beginning of the Manhattan Project, and he has gone on to receive the highest honours that science and his country can bestow, including the Nobel Prize for physics, the Max Planck Medal, the Enrico Fermi Award and the Atoms for Peace Award. '. 
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Papers

Aspect, Alain , Jean Dalibard , and Gérard Roger, "Experimental Test of Bell's Inequalities Using Time-Varying Analyzers", Physical Review Letters,, 49, Issue 25, 1982, page 1804-1807. 'Correlations of linear polarizations of pairs of photons have been measured with time-varying analyzers. The analyzer in each leg of the apparatus is an acousto-optical switch followed by two linear polarizers. The switches operate at incommensurate frequencies near 50 MHz. Each analyzer amounts to a polarizer which jumps between two orientations in a time short compared with the photon transit time. The results are in good agreement with quantum mechanical predictions but violate Bell's inequalities by 5 standard deviations.. back

d'Espagnat, Bernard, "Quantum theory and reality", Scientific American, 241, 5, November 1979, page 128-140. 'Most particles or aggregates of particles that are ordinarily regarded as separate objects have interacted at some time in the past with other objects. The violation of separability seems to imply that in some sense all these objects constitute an indivisible whole. Perhaps in such a world the concept of an independently existing reality can reatain some meaning, but it will be an altered meaning and one remove from everyday experience.' (page 140). back

Salart, Daniel, et al, "Testing the speed of 'spooky action at a distance'", Nature, 454, , 14 August 2008, page 861-864. 'Correlations are generally described by one of two mechanisms: either a first event influences a second one by sending information encoded in bosons or other physical carriers, or the correlated events have some common causes in their shared history. Quantum physics predicts an entirely different kind of cause for some correlations, named entanglement. This reveals itself in correlations that violate Bell inequalities (implying that they cannot be described by common causes) between space-like separated events (implying that they cannot be described by classical communication). Many Bell tests have been performed, and loopholes related to locality and detection have been closed in several independent experiments. It is still possible that a first event could influence a second, but the speed of this hypothetical influence (Einstein's 'spooky action at a distance') would need to be defined in some universal privileged reference frame and be greater than the speed of light. Here we put stringent experimental bounds on the speed of all such hypothetical influences. We performed a Bell test over more than 24 hours between two villages separated by 18 km and approximately east–west oriented, with the source located precisely in the middle. We continuously observed two-photon interferences well above the Bell inequality threshold. Taking advantage of the Earth's rotation, the configuration of our experiment allowed us to determine, for any hypothetically privileged frame, a lower bound for the speed of the influence. For example, if such a privileged reference frame exists and is such that the Earth's speed in this frame is less than 10-3 times that of the speed of light, then the speed of the influence would have to exceed that of light by at least four orders of magnitude.. back

Links

Anchel Pfeffer, The Peackeper's Dilemma: Kofi Annan Beieved in the UN but Recognized Its Limitations, ' Annan’s dilemma – between legitimate actions to save thousands of lives and the need for international legitimacy for intervention – would remain the contradiction at the heart of his doctrine. Despite his diplomatic skills and quiet charisma, his decade as secretary-general would be overshadowed by his failure to prevent the U.S. and its allies from invading Iraq in 2003 with the intention of preventing Saddam Hussein from achieving weapons of mass destruction – without the Security Council’s approval. He would later call it “my darkest hour.” ' back

Axon - Wikipedia, Axon - Wikipedia, the free encyclopedia, 'An axon (from Greek ἄξων áxōn, axis) or nerve fiber, is a long, slender projection of a nerve cell, or neuron, in vertebrates, that typically conducts electrical impulses known as action potentials, away from the nerve cell body. The function of the axon is to transmit information to different neurons, muscles, and glands. . . . Axons are covered by a membrane known as an axolemma; the cytoplasm of an axon is called axoplasm. Most axons branch, in some cases very profusely. The end branches of an axon are called telodendria. The swollen end of a telodendron is known as the axon terminal which joins the dendron or cell body of another neuron forming a synaptic connection.' back

Carl Zimmer, A Blended Family: Her Mother Was Neanderthal, Her Father Something Else Entirely, 'In a limestone cave nestled high above the Anuy River in Siberia, scientists have discovered the fossil of an extraordinary human hybrid. The 90,000-year-old bone fragment came from a female whose mother was Neanderthal, according to an analysis of DNA discovered inside it. But her father was not: He belonged to another branch of ancient humanity known as the Denisovans.' 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

Dendrite - Wikipedia, Dendrite - Wikipedia, the free encyclopedia, 'Dendrites (from Greek δένδρον déndron, "tree"), also dendrons, are branched protoplasmic extensions of a nerve cell that propagate the electrochemical stimulation received from other neural cells to the cell body, or soma, of the neuron from which the dendrites project. back

Dody Bautista, Q: Julien Savatier: What is the mass of total DNA in a mammalian cell , 6 years ago Cecilia Bucci Università del Salento As far as I know, a rough estimation is about 6 picograms of DNA for a human cell. 8 months ago Dody Bautista Added an answer The normal haploid genome is 3.2 x 10^9 bp. At 660g/mole-bp and Avogadro's number of 6.02 x 10^23 bp/mole, I get 3.5 x 10^-12 g/haploid genome, or 3.5 picogram per genome. The diploid genome then is about 7 picograms. back

Einstein, Podolsky and Rosen, Can the Quantum Mechanical Description of Physical Reality be Considered Complete?, A PDF of the classic paper. 'In a complete theory there is an element corresponding to each element of reality. A sufficient condition for the reality of a physical quantity is the possibility of predicting it with certainty, without disturbing the system. In quantum mechanics in the case of two physical quantities described by non-commuting operators, the knowledge of one precludes the knowledge of the other. Then either (1) the description of reality given by the wave function in quantum mechanics is not complete or (2) these two quantities cannot have simultaneous reality. Consideration of the problem of making predictions concerning a system on the basis of measurements made on another system that had previously interacted with it leads to the result that if (1) is false then (2) is also false, One is thus led to conclude that the description of reality given by the wave function is not complete.' back

Gareth Hutchins, Business condemns Turnbull's shift on emissions and 'extreme intervention', 'The Investor Group on Climate Change, which represents institutional investors with total funds under management of $2tn, who have concerns about the impact of climate change on their investments, said the decision would have “serious repercussions” for energy investment in Australia. . . . The prime minister announced on Monday that he could not carry forward his signature energy policy to the parliament – the national energy guarantee (Neg) – because he lacked the requisite internal support to deliver it. ' back

Julian Savatier, What is the mass of totsl DNA in a mammalian cell?, 'We can get the mass of live cells by quantitative phase imaging, but we would also like to know the mass of total DNA within these cells.' back

Marc Santora, 50 Years After Prague Spring, Lessons on Freedom (and a Broken Spirit), ' PRAGUE — Could Soviet-style communism be reconciled with the dignity and freedom of the individual? In 1968, the question was put to the test when the leader of Czechoslovakia’s Communist Party, Alexander Dubcek, initiated a project of liberalization that he said would offer “socialism with a human face.” What followed was a rebirth of political and cultural freedom long denied by party leaders loyal to Moscow. . . . But nearly as soon as the movement came to life, it was crushed under the treads of Soviet T-54 tanks. ' back

Michelle Langley, How 'bling' makes us human, 'Sparkly jewellery, expensive shoes, designer watches – who doesn’t love a bit of “bling”? In 2017 Australians spent A$28.5 billion on ornamenting themselves with clothing, cosmetics, and accessories. But this obsession with decorating our bodies isn’t just a trivial activity. Archaeological evidence shows us it’s actually a large part of what makes us human.' back

Mike O'Hare, Prague Spring: 50 years on what can we learn from Czechoslovakia's failed attempt to reform communism?, ' Perhaps 1968 showed us, if 1956 had not already, that the post-war façade of communist interdependence, internationalism and fraternal allegiance was broken, if indeed it had ever been more than a charade at all. The alliance was built on flimsy foundations and maintained by suppression. Czech historical novelist and writer Ivan Klíma has said that – for good or ill – the most important legacy of the Prague Spring was the delayed but ultimate destruction of the international communist movement.' back

Orders of magnitude (energy) - Wikipedia, Orders of magnitude (energy) - Wikipedia, the free encyclopedia, 'This list compares various energies in joules (J), organized by order of magnitude.' back

Paul Evans, Country diary: a caterpillar transforms into a four-eyes, horned snake, ' A caterpillar crossed the path in a lumbering panic, suddenly exposed to the light and space of the valley floor, the boots of walkers and the teeth of dogs. It seemed so vulnerable that I picked it up to move it to safety, whereupon it became something else. Its head withdrew into the thick of its 80mm olive and black body, inflating two sets of eye-spots.' back

Reality-based community - Wikipedia, Reality-based community - Wikipedia, the free encyclopedia, 'The source of the term is a quotation in an October 17, 2004, New York Times Magazine article by writer Ron Suskind, quoting an unnamed aide to George W. Bush: The aide said that guys like me were "in what we call the reality-based community," which he defined as people who "believe that solutions emerge from your judicious study of discernible reality." ... "That's not the way the world really works anymore," he continued. "We're an empire now, and when we act, we create our own reality. And while you're studying that reality—judiciously, as you will—we'll act again, creating other new realities, which you can study too, and that's how things will sort out. We're history's actors…and you, all of you, will be left to just study what we do.' back

Rebecca-Anne C. Do Rozario, From tech to fetish, shoes in fairy tales are a mark of status, 'Fairy tales have always had amazing, wearable tech: from the red shoes and the glass slipper to puss’s boots. Disney’s latest princess, Shuri, the Wakandan teen genius of Marvel’s Black Panther (2018), showing off the “sneakers” she has designed and developed, is the most recent hero to understand a shoe’s potential.' back

Shirin Malekpour & Enayat A. Moallemi, How to move energy policy models beyond bias and vested interests, 'Plenty of attention has gone to the high political drama – and fundamental conflicts over the importance of emissions reductions. But another key issue is the lack of trust in government models predicting the results of their policies. . . . Like noodle soup, policy models are also made with a variety of ingredients, which are shaped by the choices and biases of their modellers and stakeholders. The cumulative effect of these choices creates different models, and therefore different results.' back

Sol Invictus - Wikipedia, Sol Invictus - Wikipedia, the feee encyclopedia, 'Sol Invictus ("Unconquered Sun") was the official sun god of the later Roman Empire and a patron of soldiers. In 274 the Roman emperor Aurelian made it an official cult alongside the traditional Roman cults. Scholars disagree whether the new deity was a refoundation of the ancient Latin cult of Sol,[1] a revival of the cult of Elagabalus[2] or completely new.[3] The god was favored by emperors after Aurelian and appeared on their coins until Constantine.[4] The last inscription referring to Sol Invictus dates to 387 AD[5] and there were enough devotees in the 5th century that Augustine found it necessary to preach against them.' back

Stephen David Snobelen, Isaac Newton Theology, Prophecy, Science and Religion, 'At the end of the seventeenth century, Isaac Newton (1642-1727) initiated a revolution in science. At the end of the twentieth century, scholars began a revolution in the understanding of Newton. As Newton's long-concealed private papers on theology become increasingly accessible, students of Newton's thought are coming to see Newton as more than a scientist. The author of the Principia mathematica was a true Renaissance man who spent decades delving in the secrets of alchemy and even longer studying the Bible, theology and church history. Leaving behind four million words on theology, Newton was one of the greatest lay theologians of his age. A study of Newton's theology and prophetic views illuminates the life of this great thinker and helps us understand his science.' back

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