natural theology

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Notes

Sunday 21 February 2021 - Saturday 27 February 2021

[Notebook: DB 86: Hilbert / Minkowski]

[page 81]

Sunday 21 February 2021

Zappa: We do what we are naturally motivated and equipped to do and seem often to have little choice. I look back on the tangled web of my life and wonder why I failed the expectations of many and can be imagined not to have fulfilled the early promise of that gorgeous and much loved child. Now I have found, in my "mission from god" my groove in the world I see as divine and am seeking to perfect my message to a point where I can finally demand a hearing. I have spend half a century developing it, persevering in the feeling that a century is a short time in theology. Quantum mechanics is 120 years old and I am only now beginning to see the possibilities of exploiting it for a theological purpose. This, it seems, has become possible because asymptotic freedom and confinement in the baryon is taking on the appearance of a microsocm describd by the same Lie groups of non-Abelian gauge theory as the Abelian group of general relativity. I am grasping at these straws in the hope of materializing (representing) them in a new version of Aristotle's cosmology, which is a retelling of the poetic cosmology that came before him [as though the poets ask the questions that the scientists strive to answer].

Dante makes concrete for me the ludicrous beliefs of the Church that shaped my mind in almost the same beliefs (with the help of Aquinas) 700 years later. Dante Alighieri: The Divine Comedy Vol. I: Inferno

At this point in my life I have lost my whole family, two mothers, four children, and eight grandchildren through false and malicious gossip. I am slightly consoled by the opening of the

[page 82]

theological perspective that has long been [before] me since I found myself to be a young solemnly professed virgin without property or power to guide my own life, deluded into poverty, chastity and obedience in the service of a false but exceedingly powerful god embodied in a false but exceedingly powerful institution. The upshot of all this is that now I am feeling relaxed and happy and have a growing sense of power which has been lacking in my life.

Wilczek: page 101: ' There were other peculiar things about quarks. They were supposed to have electric charges whose magnitudes are fractions (⅔ or ⅓) of what appears to be the basic unit, namely the magnitude of charge carried by an electron or proton. All other observed electric charges are known, with great accuracy, to be whole-number multiples of this unit. Also, identical quarks did not appear to obey the normal rules of quantum statistics. These rules would require that, as spin ½ particles, quarks should be fermions, with antisymmetric wave functions. The pattern of observed baryons cannot be understood using antisymmetric wave functions; it requires symmetric wave functions.' Frank Wilczek: Nobel Lecture: Asymptotic Freedom: from Paradox to Paradigm

page 102; ' Powerful interactions ought to be associated with powerful radiation. When the most powerful interaction in nature, the strong interaction did not obey this rule, it posed a sharp paradox.'

' In particular, special relativity puts space and time on the same footing, quantum mechanics treats them very differently. . . . This leads to a creative tension, whose resolution has led to three previous Nobel Prizes (and ours is another):

Dirac 1933 → antiparticles
Feynman, Schwinger & Tomonaga, 1965 → QED
't Hooft & Veltmann → Yang-Mills renormalization vs UV divergence

→ virtual particles: 'If you calculate how the properties of real particles and they interactions are changed by their interactions with virtual particles, you get divergent answers, due to the contributions of virtual particles of very high energy.'

[page 83]

Maybe virtual particles are 'unrepresentative swill', but what do you replace them with? They may in fact be due to a misunderstanding of the role of the quantum of action in spacetime [the mistake here may be think about energy rather than action, since the product of energy by lifetime for a virtual particle is a constant quantum of action. So this calculation should be done in Hilbert space, not Minkowski space. Maybe go back to Dirac and use the gamma matrices to linearize energy so the spare energy does not give extreme energy but new particles].

This problem goes back to Planck's solution to the ultraviolet catastrophe. Ultraviolet catastrophe - Wikipedia

Zero point energy and the cosmological constant problem.

Wilczek page 103: '. . . quantum fluctuations are much more efficient that thermal fluctuations at exciting high energy modes in the form of virtual particles so these modes come back to haunt us.

page 104; Landau and 'screening'

page 105: 'So we had the paradox, the combining of quantum mechanics and special relativity seemed to lead inevitably to quantum field theory; but quantum field theory, despite its substantial pragmatic success, self destructed logically due to catastrophic screening.'

'antiscreening' (you wish), just as mystical as screening. What does virtual mean? Non-Abelian Yang-Mills

'Since the virtual particles carry charge, this growth is a self renewing runaway process'. Creating energy out of the vacuum! [and where does conservation of energy and conservation of charge come in?].

[page 84]

Wilczek page 106: ' the sharpest problem we need to address was the failure of quarks to radiate when Friedman, Taylor and Kendall subjected them to violent acceleration. Richard E. Taylor: Deep Inelastic Scattering: The Early Years: Nobel Lecture December 1990 (i)

page 107: 'Finally let us recall that the proposed theories appear to be uniquely singled out by nature if one takes both the SLAC results and the renormalization group approach to quantum field theory at face value.' All appears to be sunk by Wilczek's list of cosmological constant problems on page 109. Frank Wilczek: The Lightness of Being: Mass, Ether, and the Unification of Forces

page 108: 'fractional quantum Hall effect' . . . Quantum Hall effect - Wikipedia

page 121; 'Evidently asymptotic freedom besides resolving the paradoxes that originally concerned us, provide a conceptual foundation for several major insights into nature's fundamental workings, and a versatile instrument for further investigation.'

Gross, D. J. and Wilczek,F., Ultraviolet Behavior of Non-Abelian Gauge Theories, Phys. Rev. Lett. 30, 1343 (1973). David J Gross & Frank Wilczek: Ultraviolet Behavior of Non-Abelian Gauge Theories

Gross, D. J. and Wilczek, F., Asymptotically Free Gauge Theories. I, Phys. Rev. D8, 3633 (1973).

Gross, D. J. and Wilczek, F., Asymptotically Free Gauge Theories. II, Phys. Rev. D9, 980 (1974).

Tennis: the fermions are people, the bosons tennis balls

Main question: What is the alternative to virtual particles? Can we manage it by separating Hilbert and Minkowsi, so virtual is a Hilbert process, not realized in Minkowski, but nevertheless affecting amplitudes and therefore |&phi|2. So the

[page 85]

question becomes 'when does observation / measurement become operational / real? [Answer: when the event emits observable particles, which we take to mean particles moving in Minkowski space-time.

How do we implement control and an immune system in particle physics? Screening / antiscreening are control systems [guessed / inferred from mathematical treatments of mathematical models of the system.]

Constantine: Dante XIX 115 sqq.

We may see virtual particles as analogues of literary fiction with less influence than the truth but relevant nevertheless.

Einstein on zero point energy, and more generally how does being come to be in the first place? The widely accepted notion of quantum fluctuations seems quite fictitious as though a tape graduated in centimetres should somehow create millimetres. The probem lies in the representation of quanta of action which exist prior to space-time and spacetime has no causal control over them (cf Born Rule). We have to apply the evolutionary paradigm. Zero-point energy - Wikipedia

Monday 22 February 2021

Al these notes play a role in my life a bit like the work of the thousands of lesser known physicists who have contributed to the development in physics headlined by the Nobel prizewinners. Like the work of so many, these notes may lead almost nowhere but they do have the benefit of poking around in many different places to see if there is anything there. Following the Nobel history of QCD I am inspired to go on with the search for the links between Hilbert and Minkowski spaces, although of course this could easily be a dead end, but exciting.

[page 86]

't Hooft 1998 Gerardus 't Hooft: When was asymptotic freedom discovered? Or the rehabilitation of quantum field theory

page 5: partons (Feynman) = {quark, gluons}

Can we say the uncertainty principe has no dynamic influence in Hilbert space, it is simply the magnitude of the minimum available action. The notion that ΔE.Δt ≡ Δp.Δx ≡ ℏ only has meaning after the emergence of energy and momentum. Why does uncertainty demand dynamics? What has the quantum harmonic oscillator got to say. Quantum harmonic oscillator - Wikipedia

Tuesday 23 February 2021

The key to communication is charge. The world is neutral, but everywhere there are positive and negative electric charges and their precise equality points to the fact that they arise by a bifurcation. In QCD we have three colour charges which also combine into singlet pointing to a precise trifurcation impressed on top of a bifurcation so that for every colour there is an anticolour [not to mention bosons and fermions]. Running parallel to charge we have gauge theory, where the function of the gauge particles is in some sense to undo the localization of charges. What we are looking for is the line of development which leads from the quantum of action through Hilbert space to potential and kinetic energy and the charges that are built on this to implement the lust for life that we identify in the universe, as the creation and bonding of fundamental particles. Now back to sleep again to dream some more poesis.

[page 87]

What is the message in a force? Energy = f.s Physical force / cognitive force, rhetoric.

Wednesday 24 February 2021

Yang-Mills: Confinement not theoretically proven. Yang-Mills theory - Wikipedia

'a gauge theory "extends" a global symmetry to a local symmetry and closely resembles the historical development of the gauge theory of gravity known as general relativity.' Gauge theory - Wikipedia

Each node in a network model of a Hilbert space represents a basis vector or state?

So the general picture is that we start with a global symmetry which we see as a subroutine in the overall process (an algorithm) which is then applied locally with local data delivered by a gauge field which has the effect of neutralizing the local effects to restore the global symmetry so that it is in effect the inverse codec of the localized application of the symmetric algorithm. In QED the codec is represented by the phase represented by U(1) modified by the Lorentz group. Then we get a bit more complex working up through SU(2), SU(3) all the way up the scale to human language whose gauge group is in effect the human central nervous system. The network paradigm takes us all the way up and down this scale and so we can use human experience by analogy to explain fundamental physics. We can put network processes in local Hilbert spaces which use Minkowski space for their operating system taking care of memory and communication.

[page 88]

Given this story, what is the human experience corresponding to QCD, SU(3), asymptotic freedom and confinement? Can we see it as a model of the universe: asymptotic freedom= inertial motion; confinement = boundary on consistency (selection); SU(3) corresponds to culture (language, behaviour) binding people into groups; and three colours and generations of particles corresponds to ?? See the little essay on the mathematical community in scientific theology. Scientific Theology, Chapter 6: Constructing the divine world, 6.3: The mathematical community

Thursday 25 February 2021

The history of particle physics echoes the development of individual human ideas. A person or a community has an insight and then spends some time checking it by elaborating its consequences. This involves considerable investment of time and energy and is the faith aspect of scientific progress insofar as we need to have some faith in the hypothesis to go to the expense of checking it and, in the community, get the support for the necessary grants etc. In the physics community this often requires building new machines to make critical tests of the various prediction arising from the new ideas. So a new idea generates momentum of its own which may keep it alive longer than it deserves. Nevertheless the problems that it generates lead to new ideas and a new round of exploration as we read in Kuhn's account of scientific revolutions. My current state of mind is an effort to expand the classical network argument for the divinity of the universe to a quantum mechanical argument and I am trying to draw strength from the

[page 89]

70s revolution in physics which led to the application of non-Abelian gauge theories to the development of QFT to deal with the weak and strong forces, bringing us QCD which I see as an application of the network paradigm which has a natural role for symmetries, communication and gauging. The weak spot I see in all this is the apparently invincible belief that the answers lie in continuous mathematics, continuous groups and point particles. The problem I see is that there is no information in a perfect continuum so the physicists have shackled themselves to a loser while the digital internet (mimicking the digital brain) is revolutionizing human consciousness (for better, and through false information, worse) around the planet. My hope lies in the fact that the universe is quantized, although the quantum of action does not seem to get a big role these days. My current insight is that a way to fix this is to distinguish Hilbert space, where the actual computations are done in a linear context, from Minkowski space in which we observe the inputs and outputs to quantum computations, so giving us new degrees of freedom in the relationship between local and global events by interpreting spacetime (as Einstein did) as the gauge field connecting local quantum events described by local Hilbert space processes. Thomas Kuhn: The Structure of Scientific Revolutions, Jeffrey Nicholls: Prolegomenon to Scientific Theology, Quantum chromodynamics - Wikipedia

Every particle is embodied software, me, Earth, gluons containing Gell-Mann matrices, the initial singularity [which we take to be action, identical to the classical god]. Gell-Mann matrices - Wikipedia, Thomas Aquinas, Summa, I, 2, 3: Does God exist?

The psychological gauge: I get my symmetry back by dealing with my problems (inputs) either by myself or with the help of others. Insight

[page 91]

is the resolution of tension. We are confined by problems, liberated by insights. Lonergan (1992): Insight: A Study of Human Understanding (Collected Works of Bernard Lonergan : Volume 3)

Let us think of a Hilbert space as a contained process, in effect a complete system of events subject to normalized transformations that maintain a length of 1 which is reflected in it behaving as a communication source and recipient, a complex dynamic node receiving inputs from and giving outputs to spacetime. Normalization is something closely related to the quantum of action, something that has certainty (probability 1).

Friday 26 February 2021

Ward identity Ward-Takahashi Identity - Wikipedia

Hilbert space is the home of cosmic music, the emotion of the universe [with many more degrees for freedom that that reason of the universe].

von Neumann imagines an infinite dimensional Hilbert space whose dimensions are not enumerable (note 57 page 48) [with denumerable subspaces]. John von Neumann: The Mathematical Foundations of Quantum Mechanics

Saturday 27 February 2021

We are constructing quantum-theology.net as a sequel to Prolegomenon to scientific theology which is built around

[page 91]

the notion that we can map all the events in the world to a transfinite classical network. This sequel has two purposes: the first is to explain and justify the prolegomenon; and the second is to adapt it to the real nature of the world which is a computation and communication network that operates fundamentally in the . . . space of quantum mechanics, whose domain in axiomatic abstract Hilbert space. The idea then is to develop this site as a quantum network built around the quantum of action which we identify with divinity and see as the basic symmetry of the universe and the measure of every process. It is taking me a while to find my way in this idea, but I think I must take as my "Bibles" first Nielsen and Huang, then Feynman and finally Dirac-von Neumann. Prolegomenon ref above, Nielsen & Huang(2000): Quantum Computation and Quantum Information, Feynman, Leighton & Sands (1970): The Feynman Lectures on Physics (volume 3) : Quantum Mechanics, Paul A M Dirac (1983): The Principles of Quantum Mechanics (4th ed)

My hope is that this approach will give me a clear picture of the territory now covered in a rather blurry way by quantum field theory. It will take me to the edge of my ability, but I am settling in on the idea of devoting the years 2021 and 2022 to producing a clear description of my idea and will serve in effect as the third edition of scientific theology.

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Further reading

Books

Alighieri, Dante, and Mark Musa (translator), The Divine Comedy Vol. I: Inferno, Penguin Classics 1971 Jacket: ' This vigorous new translation of Inferno preserves Dante's simple natural style and captures the swift movements of the original Italian verse. Mark Musa's blank verse rendition of the poet's journey through the circles of Hell re-creates for the modern reader the richer meanings that Dante's poem had for his contemporaries. Musa's introduction and commentaries on each of the cantos brilliantly illuminates the text. '  
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Castaneda, Carlos, The Teachings of Don Juan, A Yaqui Way of Knowledge, 1968  
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Dawkins, Richard, The Blind Watchmaker: Why the Evidence of Evolution Reveals a Universe without Design, Penguin/Pelican 1996 Preface: '[Darwinism] is, indeed a remarkably simple theory; . . . In essence it amounts simply to the idea that non-random reproduction where there is hereditary variation, has consequences that are far reaching if there is time for them to be cumulative . . . ' 
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Dawkins, Richard, The Selfish Gene , Oxford UP 1976 Amazon: Editorial review: 'Inheriting the mantle of revolutionary biologist from Darwin, Watson, and Crick, Richard Dawkins forced an enormous change in the way we see ourselves and the world with the publication of The Selfish Gene. Suppose, instead of thinking about organisms using genes to reproduce themselves, as we had since Mendel's work was rediscovered, we turn it around and imagine that "our" genes build and maintain us in order to make more genes. That simple reversal seems to answer many puzzlers which had stumped scientists for years, and we haven't thought of evolution in the same way since.' Rob Lightner 
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Dawkins, Richard, Climbing Mount Improbable, W. W. Norton & Company 1997 Amazon editorial review: 'How do species evolve? Richard Dawkins, one of the world's most eminent zoologists, likens the process to scaling a huge, Himalaya-size peak, the Mount Improbable of his title. An alpinist does not leap from sea level to the summit; neither does a species utterly change forms overnight, but instead follows a course of "slow, cumulative, one-step-at-a-time, non-random survival of random variants" -- a course that Charles Darwin, Dawkins's great hero, called natural selection. Illustrating his arguments with case studies from the natural world, such as the evolution of the eye and the lung, and the coevolution of certain kinds of figs and wasps, Dawkins provides a vigorous, entertaining defense of key Darwinian ideas.' 
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Dirac (1983), P A M, The Principles of Quantum Mechanics (4th ed), Oxford UP/Clarendon 1983 Jacket: '[this] is the standard work in the fundamental principles of quantum mechanics, indispensible both to the advanced student and the mature research worker, who will always find it a fresh source of knowledge and stimulation.' (Nature)  
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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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Feynman (1970), 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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Genesis, and Alexander Jones (editor), in The Jerusalem Bible, Darton Longman and Todd 1966 'In the beginning God created the heavens and the earth. Now the earth was a formless void, there was darkness over the deep, and God's spirit hovered over the water.' (I, 1-2) 
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Hiaasen, Carl, Sick Puppy, Warner Vision Books 2001 'Independently wealthy eco-terrorist Twilly Spree teaches a flagrant litterbug a lesson -- and leaves the offender's precious Range Rover swarming with hungry dung beetles. When he discovers the litterer is one of the most powerful political fixers in Florida, the real Hiaasen-style fun begins.' 
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Higman, Bryan, Applied Group-Theoretic and Matrix Methods, Dover Publications Jacket: '... This work, a comprehensive, thoroughly reliable exposition of the basic ideas of group theory (realized through matrices) and its applications to various areas of physics and chemistry, systematically covers this important ground for the first time. ... Although [it] deals basiclaly with advanced level material, the unusually clear exposition provides much valuable insight and fruitful suggestion for student and specialist alike. Chemists, physicists, mathematicians, and others who would like an idea of the applications and methods of group and matrix theory in the physical sciences will profit greatly from this book. ...'back

Kuhn, Thomas S, The Structure of Scientific Revolutions, U of Chicago Press 1962, 1970, 1996 Introduction: 'a new theory, however special its range of application, is seldom just an increment to what is already known. Its assimilation requires the reconstruction of prior theory and the re-evaluation of prior fact, an intrinsically revolutionary process that is seldom completed by a single man, and never overnight.' [p 7]  
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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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Lonergan, Bernard J F, Method in Theology, University of Toronto Press for Lonergan Research Institute 1996 Introduction: 'A theology mediates between a cultural matrix and the signifcance and role of religion in that matrix. ... When the classicist notion of culture prevails, theology is conceived as a permanent achievement, and then one discourses on its nature. When culture is conceived empirically, theology is known to be an ongoing process, and then one writes on its method. Method ... is a framework for collaborative creativity.' 
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Lonergan (1992), 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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Marais, Eugene, and (translated by Winifred de Kok, The Soul of the White Ant, Penguin Books 1973 Jacket: 'Is nature a state of chaos or a predetermined pattern of existence? Is a termite colony a collection of individuals or a single, unified organism working toward a single aim? In this utterly absorbing study of a termite colony, Eugène Marais, the brilliant South African journalist, lawyer poet and natural scientist poses these intriguing questions. Ten years of close observation led him to some startling conclusions - with disturbing social implications.' 
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Merton, Robert C, Continuous Time Finance, Wiley-Blackwell 1992 Amazon Product Description 'Robert C. Merton's widely used text provides an overview and synthesis of finance theory from the perspective of continuous-time analysis. It covers individual financial choice, corporate finance, financial intermediation, capital markets, and selected topics on the interface between private and public finance. For this revised edition a new section on managing university endowments has been added. The book begins with a foreword by Paul Samuelson.' 
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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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Nielsen (2000), 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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Partterson, Scott, The Quants: How a New Breed of Math Whizzes Conquered Wall Street and Nearly Destroyed It, Crown Business (February 2, 2010) Language: English ISBN-10: 0307453375 ISBN-13: 978-0307453372 2010 Amazon Editorial Reviews “Scott Patterson has the ability to see things you and I don’t notice. In The Quants he does an admirable job of debunking the myths of black box traders and provides a very entertaining narrative in the process.” Nassim Nicholas Taleb 
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Streater, Raymond F, and Arthur S Wightman, PCT, Spin, Statistics and All That, Princeton University Press 2005 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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Suzuki, Daisetz Teitaro, Studies in Zen, Rider and Co, for the Buddhist Society 1953 Studies in Zen is the eigth volume of the collected works of DT Suzuki. Jacket: 'These studies, packed with the jewels of Zen wisdom, and written with unrivalled knowledge, will appeal to all who seek a deeper understanding of Eastern ways of thought and spiritual achievement. For Zen is unique in the whole range of human understanding, and Dr. Suzuki is accepted as its greatest exponent. 
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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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von Neumann, John, and Robert T Beyer (translator), Mathematical Foundations of Quantum Mechanics, Princeton University Press 1983 Jacket: '. . . a revolutionary book that caused a sea change in theoretical physics. . . . JvN begins by presenting the theory of Hermitean operators and Hilbert spaces. These provide the framework for transformation theory, which JvN regards as the definitive form of quantum mechanics. . . . Regarded as a tour de force at the time of its publication, this book is still indispensable for those interested in the fundamental issues of quantum mechanics.' 
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Wilczek, 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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Wilson, Edward Osborne, Sociobiology: The new synthesis, Harvard UP 1975 Chapter 1: '... the central theoretical problem of sociobiology: how can altruism, which by definition reduces personal fitness, possibly evolve by natural selection? The answer is kinship. ... Sociobiology is defined as the systematic study of the biological basis of all social behaviour. ... It may not be too much to say that sociology and the other social sciences, as well as the humanities, are the last branches of biology waiting to be included in the Modern Synthesis.'  
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Woolf, Virginia, A Room of One's Own, Granada 1977 Amazon editorial review: 'Surprisingly, this long essay about society and art and sexism is one of Woolf's most accessible works. Woolf, a major modernist writer and critic, takes us on an erudite yet conversational--and completely entertaining--walk around the history of women in writing, smoothly comparing the architecture of sentences by the likes of William Shakespeare and Jane Austen, all the while lampooning the chauvinistic state of university education in the England of her day. When she concluded that to achieve their full greatness as writers women will need a solid income and a privacy, Woolf pretty much invented modern feminist criticism.' 
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Papers

Burkard, Guido, "Splitting States on a Chip", Science, 327, 5966, 5 February 2010, page 650-51. 'The different colors on the surface of a soap bubble arise from the interference of light waves reflecting from the outer and inner surface of the liquid film. As the thickness of the film varies, so will the wavelength of light that undergoes constructive interference and remains visible. This effect can be used to measure small changes in distance if a single coherent beam is used (see the figure, panel A) through the formation of interference fringes. According to quantum mechanics, even material particles such as electrons behave like waves, and indeed, interference can be observed when the electric charge associated with an electron travels along two arms of a ring-like interferometer in the Aharonov-Bohm effect. In addition to their charge, electrons also have two distinguishable spin states, spin-up and spin-down. On page 669 of this issue, Petta et al. (1) demonstrate beam splitting and interferometry for the spin degrees of freedom of two electrons on a semiconductor chip. In this system, the phase of partial waves is associated with spin direction. Nuclear spins, whose coupling to electrons can destroy phase coherence, actually help control spin-state evolution.'. back

Yovel, Yossi, Ben Falk, Cynthia F Moss, Nachum Ulanovsky, "", Science, 327, 5966, 5 February 2010, page 701-704. 'Is centering a stimulus in the field of view an optimal strategy to localize and track it? We demonstrated, through experimental and computational studies, that the answer is no. We trained echolocating Egyptian fruit bats to localize a target in complete darkness, and we measured the directional aim of their sonar clicks. The bats did not center the sonar beam on the target, but instead pointed it off axis, accurately directing the maximum slope ("edge") of the beam onto the target. Information-theoretic calculations showed that using the maximum slope is optimal for localizing the target, at the cost of detection. We propose that the tradeoff between detection (optimized at stimulus peak) and localization (optimized at maximum slope) is fundamental to spatial localization and tracking accomplished through hearing, olfaction, and vision... back

Links

Alan Greenspan, Greenspan on Sources of Financial Crisis, 'It was the failure to properly price such risky assets that precipitated the crisis. In recent decades, a vast risk management and pricing system has evolved, combining the best insights of mathematicians and finance experts supported by major advances in computer and communications technology. A Nobel Prize was awarded for the discovery of the pricing model that underpins much of the advance in derivates markets. This modern risk management paradigm held sway for decades. The whole intellectual edifice, however, collapsed in the summer of last year because the data inputted into the risk management models generally covered only the past two decades, a period of euphoria. Had instead the models been fitted more appropriately to historic periods of stress, capital requirements would have been much higher and the financial world would be in far better shape today, in my judgment.' back

Amir E Khadani and Andrew W Lo, What Happened to the Quants in 2007, 'Abstract During the week of August 6, 2007, a number of high-profile and highly successful quantitative long/short equity hedge funds experienced unprecedented losses. Based on empir-ical results from TASS hedge-fund data as well as the simulated performance of a specific long/short equity strategy, we hypothesize that the losses were initiated by the rapid un-winding of one or more sizable quantitative equity market-neutral portfolios. Given the speed and price impact with which this occurred, it was likely the result of a sudden liquidation by a multi-strategy fund or proprietary-trading desk, possibly due to margin calls or a risk reduction. These initial losses then put pressure on a broader set of long/short and long-only equity portfolios, causing further losses on August 9th by triggering stop-loss and de-leveraging policies. A significant rebound of these strategies occurred on August 10th, which is also consistent with the sudden liquidation hypothesis. This hypothesis suggests that the quantitative nature of the losing strategies was incidental, and the main driver of the losses in August 2007 was the firesale liquidation of similar portfolios that happened to be quantitatively constructed. The fact that the source of dislocation in long/short equity portfolios seems to lie elsewhere—apparently in a completely unrelated set of markets and instruments—suggests that systemic risk in the hedge-fund industry may have increased in recent years.' back

Apple Inc., Mac Dev Center: Applescript Language Guide: AppleScript Fundamentals, This chapter describes basic concepts that underlie the terminology and rules covered in the rest of this guide. back

Benedict Carey, Evidence That Little Touches Do Mean So Much, '“We think that humans build relationships precisely for this reason, to distribute problem solving across brains,” said James A. Coan, a a psychologist at the University of Virginia. “We are wired to literally share the processing load, and this is the signal we’re getting when we receive support through touch." back

Black-Scholes - Wikipedia, Black-Scholes - Wikipedia, the free encyclopedia, 'http://en.wikipedia.org/wiki/Black%E2%80%93Scholes' back

Blackfriars Priory School, Blackfriars - Catholic School for boys in Adelaide, South Australia, 'Our Mission Is founded on our stewardship of God’s creation to reach its full potential. Blackfriars Priory School is a Catholic Dominican school for boys which promotes the spiritual, intellectual, physical and social development of each member of the school community. It aims, in co-operation with parents, to engage students in an educational experience within the context of a Christian community which is fulfilling and rewarding.' back

Bose-Einstein statistics - Wikipedia, Bose-Einstein statistics - Wikipedia, the free encyclopedia, 'In statistical mechanics, Bose–Einstein statistics (or more colloquially B–E statistics) determines the statistical distribution of identical indistinguishable bosons over the energy states in thermal equilibrium.' back

Caroline Cusack, Did the Crusades lead to Islamic State?, back

David J Gross, The discovery of asymptotic freedom and the emergence of QCD, ' The emergence of QCD is a wonderful example of the evolution from farce to triumph. During a very short period, a transition occurred from experimental discovery and theoretical confusion to theoretical triumph and experimental confirmation. In this Nobel lecture, I shall describe the turn of events that led to the discovery of asymptotic freedom, which in turn led to the formulation of QCD, the final element of the remarkably comprehensive theory of elementary particle physics—the Standard Model. I shall then briefly describe the experimental tests of the theory and the implications of asymptotic freedom.' back

David J Gross & Frank Wilczek, Ultraviolet Behavior of Non-Abelian Gauge Theories, 'It is shown that a wide class of non-Abelian gauge theories have, up to calculable logarithmic corrections, free-field theory asymptotic behavior.I t is suggested that Bjorken scaling may be obtained from strong-interaction dynamics based on non-Abelian gauge symmetry.' back

Department of Business, Economics, Statistics and Informatics at Örebro University, EconPapers: Papers on Economics of Religion, 'EconPapers use the RePEc bibliographic and author data, providing access to the largest collection of online Economics working papers and journal articles. The majority of the full text files are freely available, but some (typically journal articles) require that you or your organization subscribe to the service providing the full text file. RePEc is a distributed data set residing in over 400 archives operated by research organizations, academic departments and publishers. EconPapers would not be possible without the effort of the maintainers of these archives.' back

Diffusion - Wikipedia, Diffusion - Wikipedia, the free encyclopedia, 'Diffusion is a time-dependent process, constituted by random motion of given entities and causing the statistical distribution of these entities to spread in space. The concept of diffusion is tied to notion of mass transfer, driven by a concentration gradient. The concept of diffusion emerged in the physical sciences. The paradigmatic examples were heat diffusion, molecular diffusion and Brownian motion. Their mathematical description was elaborated by Joseph Fourier in 1822, Adolf Fick in 1855 and by Albert Einstein in 1905.' back

Dominicans, Dominicans: Order of Preachers, 'WWW.OP.ORG is the official international Web site of the Order of Preachers (the Dominicans). The branches of the Dominican family are multiple: brothers, contemplative nuns, congregations of contemplative and apostolic sisters, lay persons in fraternities or secular institutes, secular priests in fraternities. "Each one has its own character, its autonomy. However by taking part in the charism of saint Dominic, they share between them a single vocation to be preachers in the Church (Chapter of Mexico, 1992)."' back

Emanuel Derman and Paul Wilmott, Financial Modeler's Manifesto, 'The Modelers' Hippocratic Oath ~ I will remember that I didn't make the world, and it doesn't satisfy my equations. ~ Though I will use models boldly to estimate value, I will not be overly impressed by mathematics. ~ I will never sacrifice reality for elegance without explaining why I have done so. ~ Nor will I give the people who use my model false comfort about its accuracy. Instead, I will make explicit its assumptions and oversights. ~ I understand that my work may have enormous effects on society and the economy, many of them beyond my comprehension.' back

Emer O'Toole, What hope has Pope Francis offered to women exposed to Zika? None, 'Pope Francis’s media persona is dangerous. In his attempts to cultivate an image of a moderate church engaged with realities of sexuality and gender, the Pope obscures the homophobia and misogyny at the core of Catholicism. His recent obfuscation on contraception and Zika does nothing to help Latin American women, and serves to distract from the horrendous repercussions of Catholic teaching on abortion for women and the poor.' back

Fermi-Dirac statistics - Wikipedia, Fermi-Dirac statistics - Wikipedia, the fre encyclopedia, 'In statistical mechanics, Fermi-Dirac statistics is a particular case of particle statistics developed by Enrico Fermi and Paul Dirac that determines the statistical distribution of fermions over the energy states for a system in thermal equilibrium. In other words, it is the distribution of the probabilities that each possible energy levels is occupied by a fermion. back

Frank Wilczek, Nobel Lecture: Asymptotic Freedom: from Paradox to Paradigm, ' Frank Wilczek held his Nobel Lecture December 8, 2004, at Aula Magna, Stockholm University. He was presented by Professor Sune Svanberg, Chairman of the Nobel Committee for Physics. Summary: The idea that Quarks that are born free are confined and can’t be pulled apart was once considered a paradox. The emerging theory for strong interactions, Quantum Chromo Dynamics (QCD) predicts the existence of gluons, which together with quarks can be seen indirectly as jets from hard scattering reactions between particles. Quantum Chromo Dynamics predicts that the forces between quarks are feeble for small separations but are powerful far away, which explains confinement. Many experiments have confirmed this property of the strong interaction. '. back

Gauge theory - Wikipedia, Gauge theory - Wikipedia, the free encyclopedia, ' In physics, a gauge theory is a type of field theory in which the Lagrangian does not change (is invariant) under local transformations from certain Lie groups. The term gauge refers to any specific mathematical formalism to regulate redundant degrees of freedom in the Lagrangian. The transformations between possible gauges, called gauge transformations, form a Lie group—referred to as the symmetry group or the gauge group of the theory. Associated with any Lie group is the Lie algebra of group generators. For each group generator there necessarily arises a corresponding field (usually a vector field) called the gauge field. Gauge fields are included in the Lagrangian to ensure its invariance under the local group transformations (called gauge invariance). When such a theory is quantized, the quanta of the gauge fields are called gauge bosons. If the symmetry group is non-commutative, then the gauge theory is referred to as non-abelian gauge theory, the usual example being the Yang–Mills theory. ' back

Gell-Mann matrices - Wikipedia, Gell-Mann matrices - Wikipedia, the free encyclopedia, ' The Gell-Mann matrices, developed by Murray Gell-Mann, are a set of eight linearly independent 3×3 traceless Hermitian matrices used in the study of the strong interaction in particle physics. They span the Lie algebra of the SU(3) group in the defining representation. . . . These matrices are traceless, Hermitian (so they can generate unitary matrix group elements through exponentiation), and obey the extra trace orthonormality relation. These properties were chosen by Gell-Mann because they then naturally generalize the Pauli matrices for SU(2) to SU(3), which formed the basis for Gell-Mann's quark model. Gell-Mann's generalization further extends to general SU(n). For their connection to the standard basis of Lie algebras, see the Weyl–Cartan basis. ' back

George Makari, Notes From Psychiatry's Battle Lines, 'Consider this: Like most clinicians, I am eager for scientific progress, something new that will yield more clarity and provide my patients with faster or deeper relief. However, as I take stock of a new “neuroenhancer,” or the latest genetic correlation that may point to the cause of an illness, or a suddenly popular diagnosis, the historian in me senses ghosts beginning to stir.' back

George Svetlichny, Preparation for Gauge Theory, ' These are the class notes for a course preparatory to classical gauge the-ory given at the Mathematics Department of the Pontif ́ıcia UniversidadeCat ́olica of Rio de Janeiro during the (southern-hemisphere) spring term of1997. They purport to provide the necessary mathematical background at abeginning graduate level for someone interested in gauge theory and who hasan elementary understanding of differentiable manifolds, Lie groups, Lie al-gebras, and multilinear algebra. These notes are intended to take the readerto the point at which he or she can understand what gauge theoriesare, but,unfortunately, stop short of doing anything with them.' back

Gerardus 't Hooft, When was asymptotic freedom discovered? Or the rehabilitation of quantum field theory, ' We glance back at the short period of the great discoveries between 1970 and 1974 that led to the restablishment of Quantum Field Theory and the discovery of the Standard Model of Elementary Particles, in particular Quantum Chromodynamics, and ask ourselves where we stand now.' back

Hopfield net - Wikipedia, Hopfield net - Wikipedia, the free encyclopedia, 'A Hopfield net is a form of recurrent artificial neural network invented by John Hopfield. Hopfield nets serve as content-addressable memory systems with binary threshold units. They are guaranteed to converge to a local minimum, but convergence to one of the stored patterns is not guaranteed.' back

Jeffrey Nicholls, Prolegomenon to Scientific Theology, ' This thesis is an attempt to carry speculative theology beyond the apogee it reached in the medieval work of Thomas Aquinas into the world of empirical science (Aquinas 2019). Since the time of Aquinas, our understanding of the Universe has increased enormously. The ancient theologians not only conceived a perfect God, but they also saw the world as a very imperfect place. Their reaction was to place God outside the world. I will argue that we live in a Universe which approaches infinity in size and complexity, is as perfect as can be, and fulfils all the roles traditionally attributed to God, creator, lawmaker and judge.' back

John von Neumann, The Mathematical Foundations of Quantum Mechanics, ' Mathematical Foundations of Quantum Mechanics by John von Neumann translated from the German by Robert T. Beyer (New Edition) edited by Nicholas A. Wheeler. Princeton UP Princeton & Oxford. Preface: ' This book is the realization of my long-held intention to someday use the resources of TEX to produce a more easily read version of Robert T. Beyer’s authorized English translation (Princeton University Press, 1955) of John von Neumann’s classic Mathematische Grundlagen der Quantenmechanik (Springer, 1932).'This content downloaded from 129.127.145.240 on Sat, 30 May 2020 22:38:31 UTC back

Liam Fox, Cyclone Winston: Village built by Australian man for Fiji's poor survives unscathed, 'Of the 230 houses, none sustained any significant damage after Cyclone Winston swept through the Fiji islands. The man who designed the houses, Peter Drysdale, explained why the houses were so strong by pointing to the roof of one of the structures. "Have a look at this connecting roof. You can see the strapping details. We use about 14 coils of steel strapping in every house," he said.' back

Little Blue Lake - Wikipedia, Little Blue Lake - Wikipedia, the free encyclopedia, 'Little Blue Lake is a water-filled doline located near Mount Schank in South Australia. It is notable locally as a swimming hole and nationally as a cave diving site. It is managed by the District Council of Grant and has been developed as a recreational and tourism venue.' back

Lourdes - Wikipedia, Lourdes - Wikipedia, the free encyclopedia, 'Lourdes (Occitan name Lorda) is a town and commune situated in the Southwest of the Hautes-Pyrénées department, lying in the first Pyrenean foothills, in southwestern France. , , , Lourdes was originally a small unremarkable market town lying in the foothills of the Pyrenees. At that time the most prominent feature was the fortified castle which rises up from the centre of the town on a rocky escarpment. Following the claims that there were apparitions of Our Lady of Lourdes to Bernadette Soubirous in 1858, Lourdes has developed into a major place of Christian pilgrimage. Today Lourdes has a population of around 15,000 inhabitants but is able to take in some 5,000,000 pilgrims and tourists every season. Lourdes has the second greatest number of hotels in France after Paris with about 270 establishments.' back

Lourdes-france.org, Lourdes france, le site officiel des Santuaires vous acceuille, Site internet de Sanctuaires Notre-Dame de Lourdes back

Martinus J G Veltman, Nobel Lecture 1999: From weak interactions fo gravitation, ' This lecture is about my contribution to the renormalizability of gauge theories. There is of course no perfectly clear separation between my contributions and those of my co-laureate 't Hooft, but I will limit mysef to some brief comments on those publications that carry only his name. An extensive review on the subject including detailed references to contemporary work can be found elsewhere. As is well known, the work on renormalizability of gauge theories caused a complete change in the landscape of particle physics.' 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

Maxwell's equations - Wikipedia, Maxwell's equations - Wikipedia, the free encyclopedia, ' Maxwell's equations are a set of partial differential equations that, together with the Lorentz force law, form the foundation of classical electromagnetism, classical optics, and electric circuits. The equations provide a mathematical model for electric, optical and radio technologies, such as power generation, electric motors, wireless communication, lenses, radar etc. Maxwell's equations describe how electric and magnetic fields are generated by charges, currents, and changes of the fields. One important consequence of the equations is that they demonstrate how fluctuating electric and magnetic fields propagate at the speed of light.' back

Norma Costello, Irish women sawn open during childbirth seek justice, 'Dublin, Ireland - Women who had their pelvises broken in Irish hospitals have been failed by a state redress scheme, according to lawyers and activists. Watch: Ireland accused of whitewashing childbirth scandal Symphysiotomy, a brutal procedure that involved slicing through the cartilage and ligaments of a pelvic joint during childbirth, and pubiotomy, an even more extreme form in which the bone of the pelvis was sawn apart, was carried out in Ireland centuries after it was abandoned elsewhere, leaving women with lifelong disabilities, incontinence and chronic pain.' back

Paul Wilmott, The Use, Misuse and Abuse of Mathematics in Finance, 'Abstract The once ‘gentlemanly’ business of finance has become a game for ‘players.’ These players are increasingly technically sophisticated, typically having Ph.D.s in a numerate discipline. The roots of this transformation have their foundation in the 1970s. Since then the financial world has become more and more complex. Unfortunately, as the mathematics of finance reaches higher levels so the level of common sense seems to drop. There have been some well publicised cases of large losses sustained by companies because of their lack of understanding of financial instruments. In this article we look at the history of financial modelling, the current state of the subject and possible future directions. It is clear that a major rethink is desperately required if the world is to avoid a mathematician-led market meltdown.' back

Quantum chromodynamics - Wikipedia, Quantum chromodynamics - Wikipedia, the free encyclopedia, ' In theoretical physics, quantum chromodynamics (QCD) is the theory of the strong interaction between quarks and gluons, the fundamental particles that make up composite hadrons such as the proton, neutron and pion. QCD is a type of quantum field theory called a non-abelian gauge theory, with symmetry group SU(3). The QCD analog of electric charge is a property called color. Gluons are the force carrier of the theory, like photons are for the electromagnetic force in quantum electrodynamics.' back

Quantum fluctuations - Wikipedia, Quantum fluctuations - Wikipedia, the free encyclopedia, 'In quantum physics, a quantum fluctuation is the temporary change in the amount of energy in a point in space, arising from Werner Heisenberg's uncertainty principle.' back

Quantum Hall effect - Wikipedia, Quantum Hall effect - Wikipedia, the free encyclopedia, ' The quantum Hall effect (or integer quantum Hall effect) is a quantized version of the Hall effect, observed in two-dimensional electron systems subjected to low temperatures and strong magnetic fields, in which the Hall resistance Rxy exhibits steps that take on the quantized values at certain level

R xy = VHall / Ichannel = h / e2v>

where VHall is the Hall voltage, Ichannel is the channel current, e is the elementary charge and h is Planck's constant. The divisor ν can take on either integer (ν = 1, 2, 3,...) or fractional (ν = 1/3, 2/5, 3/7, 2/3, 3/5, 1/5, 2/9, 3/13, 5/2, 12/5,...) values.' back

Quantum harmonic oscillator - Wikipedia, Quantum harmonic oscillator - Wikipedia, the free encyclopedia, 'The quantum harmonic oscillator is the quantum-mechanical analog of the classical harmonic oscillator. Because an arbitrary potential can usually be approximated as a harmonic potential at the vicinity of a stable equilibrium point, it is one of the most important model systems in quantum mechanics. Furthermore, it is one of the few quantum-mechanical systems for which an exact, analytical solution is known.' back

Richard E. Taylor, Deep Inelastic Scattering: The Early Years: Nobel Lecture December 1990 (i), ' Soon after the 1990 Nobel Prize in Physics was announced Henry Kendall,Jerry Friedman and I agreed that we would each describe a part of the deepinelastic experiments in our Nobel lectures. The division we agreed uponwas roughly chronological. I would cover the early times, describing someof the work that led to the establishment of the Stanford Linear AcceleratorCenter where the experiments were performed, followed by a brief accountof the construction of the experimental apparatus used in the experimentsand the commissioning of the spectrometer facility in early elastic scatteringexperiments at the Center.' back

Rod Tucker, The NBN: why its slow, expensive and obsolete, 'If in 2013 the Coalition had simply allowed NBN Co to get on with the job of rolling out its fibre-to-the-premises NBN, rather than changing it to an inferior multi-technology mix, it may well have ended up spending less money and delivered Australia a much better network. The Coalition sold the Australian public a product that was supposed to be fast, one-third the cost and arrive sooner than what Labor was offering us. Instead the Coalition’s NBN will be so slow that it is obsolete by the time it’s in place, it will cost about the same as Labor’s fibre-to-the-premises NBN, and it won’t arrive on our doorsteps much sooner.' back

Scott Patterson and Aaron Luchetti, Boom in 'Dark Pool' Trading Networks is Causing headaches on Wall Street, 'When Cheryl Cargie, head trader at Ariel Investments LLC in Chicago, decided last month to buy 1.3 million shares of a midcap stock listed on the New York Stock Exchange, she spread orders among several "dark pools," the secretive electronic trading networks that match buyers and sellers anonymously. The pools are booming in popularity as big institutional investors look for ways to trade blocks of stock without triggering ripples in the share price, as can happen on traditional stock markets such as the NYSE and Nasdaq Stock Market. But all that darkness is causing nightmares on Wall Street.' back

Space Shuttle Challenger disaster - Wikipedia, Space Shuttle Challenger disaster - Wikipedia, the free encyclopedia, 'The Space Shuttle Challenger disaster occurred in the United States, over the Atlantic Ocean, off the coast of central Florida, at 11:39 a.m. EST (16:39 UTC) on January 28, 1986. The Space Shuttle Challenger disintegrated 73 seconds into its flight after an O-ring seal in its right solid rocket booster (SRB) failed at liftoff. The seal failure caused a breach in the SRB joint it filled, allowing a flare to reach the outside and impinge upon the adjacent attachment hardware and external fuel tank. The SRB breach flare led to the separation of the right-hand SRB and the structural failure of the external tank. Aerodynamic forces promptly broke up the orbiter. The shuttle was destroyed and all seven crew members were killed.' back

Spotlight (film) - Wikipedia, Spotlight (film) - Wikipedia, the free encyclopedia, 'Spotlight is a 2015 American biographical drama film directed by Tom McCarthy and written by McCarthy and Josh Singer. The film follows The Boston Globe's "Spotlight" team, the oldest continuously operating newspaper investigative journalist unit in the United States, and its investigation into cases of widespread and systemic child sex abuse in the Boston area by numerous Roman Catholic priests.' back

Thanu Padmanabhan, Thermodynamical Aspects of gravity: New Insights, '(Submitted on 26 Nov 2009 (v1), last revised 19 Jan 2010 (this version, v2)) The fact that one can associate thermodynamic properties with horizons brings together principles of quantum theory, gravitation and thermodynamics and possibly offers a window to the nature of quantum geometry. This review discusses certain aspects of this topic concentrating on new insights gained from some recent work. After a brief introduction of the overall perspective, Sections 2 and 3 provide the pedagogical background on the geometrical features of bifurcation horizons, path integral derivation of horizon temperature, black hole evaporation, structure of Lanczos-Lovelock models, the concept of Noether charge and its relation to horizon entropy. Section 4 discusses several conceptual issues introduced by the existence of temperature and entropy of the horizons. In Section 5 we take up the connection between horizon thermodynamics and gravitational dynamics and describe several peculiar features which have no simple interpretation in the conventional approach. The next two sections describe the recent progress achieved in an alternative perspective of gravity. In Section 6 we provide a thermodynamic interpretation of the field equations of gravity in any diffeomorphism invariant theory and in Section 7 we obtain the field equations of gravity from an entropy maximization principle. The last section provides a summary.' back

Thomas Aquinas, Summa, I, 2, 3, Does God exist?, 'I answer that, The existence of God can be proved in five ways. The first and more manifest way is the argument from motion. . . . ' back

Timothy W Jones, Safe Schools Coalition: what is the Christian Right afraid of?, 'In developing their politics of “family values”, the Christian Right actually invented a tradition: that of the timeless, nuclear family. This 1950s “mum, dad and 2.5 kids” model is structured around a heterosexual marriage with the husband in authority. Despite this being a minority structure in the history of families, the new Christian Right presents this as the only “natural” family structure. It then positions it as the foundation of society and of civilisation.' back

Ultraviolet catastrophe - Wikipedia, Ultraviolet catastrophe - Wikipedia, the free encyclopedia, ' The term "ultraviolet catastrophe" was first used in 1911 by Paul Ehrenfest, but the concept originated with the 1900 statistical derivation of the Rayleigh–Jeans law. The phrase refers to the fact that the Rayleigh–Jeans law accurately predicts experimental results at radiative frequencies below 1055 GHz, but begins to diverge with empirical observations as these frequencies reach the ultraviolet region of the electromagnetic spectrum. Since the first appearance of the term, it has also been used for other predictions of a similar nature, as in quantum electrodynamics and such cases as ultraviolet divergence.' back

Ward-Takahashi Identity - Wikipedia, Ward-Takahashi Identity - Wikipedia, the free encyclopedia, 'In quantum field theory, a Ward-Takahashi identity is an identity between correlation functions that follows from the global or gauged symmetries of the theory, and which remains valid after renormalization. . . . The Ward-Takahashi identity is a quantum version of the classical Noether's theorem, and any symmetries in a quantum field theory can lead to an equation of motion for correlation functions.' back

www.op.org, Dominicans : Order of Preachers, ..., '... the official international Web site of the Order of Preachers (the Dominicans). The branches of the Dominican family are multiple: brothers, contemplative nuns, congregations of contemplative and apostolic sisters, lay persons in fraternities or secular institutes, secular priests in fraternities.' back

Yang-Mills theory - Wikipedia, Yang-Mills theory - Wikipedia, the free encyclopedia, 'Yang–Mills theory is a gauge theory based on the SU(N) group, or more generally any compact, reductive Lie algebra. Yang–Mills theory seeks to describe the behavior of elementary particles using these non-Abelian Lie groups and is at the core of the unification of the electromagnetic force and weak forces (i.e. U(1) × SU(2)) as well as quantum chromodynamics, the theory of the strong force (based on SU(3)). Thus it forms the basis of our understanding of the Standard Model of particle physics.' back

Zero-point energy - Wikipedia, Zero-point energy - Wikipedia, the free encyclopedia, ' Zero-point energy (ZPE) is the lowest possible energy that a quantum mechanical system may have. Unlike in classical mechanics, quantum systems constantly fluctuate in their lowest energy state as described by the Heisenberg uncertainty principle. As well as atoms and molecules, the empty space of the vacuum has these properties. According to quantum field theory, the universe can be thought of not as isolated particles but continuous fluctuating fields: matter fields, whose quanta are fermions (i.e. leptons and quarks), and force fields, whose quanta are bosons (e.g. photons and gluons). All these fields have zero-point energy. These fluctuating zero-point fields lead to a kind of reintroduction of an aether in physics, since some systems can detect the existence of this energy. However this aether cannot be thought of as a physical medium if it is to be Lorentz invariant such that there is no contradiction with Einstein's theory of special relativity.' back

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