natural theology

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Notes

Sunday 14 February 2021 - Saturday 20 February 2021

[Notebook: DB 86: Hilbert / Minkowski]

[page 68]

Sunday 14 February 2021

[page 69]

Intro: problems of QFT: a) infinity b) redundancy, lay out a plan and give myself a year to fulfill it.

People worry about spin and what is spinning, but it may be better to think of it as a primordial quality of reality that just happens to have the macroscopic dimensions of angular momentum, making the quantum of action an even better candidate for the fundamental symmetry of the universe as the electron and the hydrogen atom are also symmetries [and every member of every species]. Every symmetry is rooted in a representative particle, is a "subroutine" of the universe. [The dynamic representation of a quantum of action as a "ray" in Hilbert space reflects this quality Weinberg pp 49-50.] Steven Weinberg; The Quantum Theory of Fields Volume I: Foundations

Actions blend together seamlessly like subroutines in a computation so an event comprising many quanta of action can still be considered omnino simplex [and logical processes fulfil Aristotle's definition of continuity ("having extremities in common") since we couple logical processes in machines with a "middle term" ie writing to and reading from the same location in memory.] Aristotle: Physics V, iii ( 227a10 sqq.)

Monday 15 February 2021

Introduction to qt again and still meandering is a jungle of possibilities looking for a clear course. The plan: map physics to theology, ie the fundamental properties of the universe to its current and future states which means in effect providing a seed for the evolution from the initial singularity, ie variation and selection which is an application of Lagrangian mechanics. De Maupertuis would be happy with this identification. Lagrangian mechanics - Wikipedia, Pierre Louis Maupertuis - Wikipedia

Gauge theory is particularly concerned with bosons, the communication particles in the system. Photons carry phase

[page 70]

and different phases are treated as different reference frames [in the context of global symmetry] which are all mapped onto one another by the U(1) gauge group to preserve coordinate free representation of the photon. When we come to the weak force we need a non-Abelian group SU(2) to map the reference frames to one another and when we come to gluons, we need SU(3) [?] to remove the characters impressed upon the gluons by the different local frames of reference they encounter in their work as local gauge particles. We characterize the nature of the relevant fermion by the gauge particles by which they communicate.

The structure of general relativity seems to be much more complex than particle physic which is why we seem to need a spin 2 particle to quantize it. On the other hand it seems more primitive and therefore we would expect it to be simpler. On the third hand, we are building a universe from simple to complex and we might expect the sequence to go SU(1, 2, 3, 4, ...} but the structure of putting the 3D together to get the 4D might be as simple as a circuit board in 4 space.

Now we have to deal with Dirac and the assumption that the spin of a particle is its "rest angular momentum" and connected to the velocity of light. From the point of view of photons, electrons are moving at c?? So they are outside spacetime?

We want to derive the whole world from a quantum of action rather than a particle of infinite energy. See Conversation article on photons and phonons. David Blair: A tiny crystal device could boost gravitational wave detectors to reveal the birth cries of black holes

It is our language that shapes us and we are inclined to think

[page 71]

that gauge theory shapes the world. When we go onto detail we see that high energy physics is enormously complex and I suspect unnecessarily so since we are talking about the simplest layers of cosmic structure and we see all this pop out of bubbles of energy (Veltman pp 161 sqq). The message is characterized by the gauge group which in effect smears the message out ie it undoes the local message to restore symmetry. Veltman (2003): Facts and Mysteries in Elementary Particle Physics

Physics seems to be imprisoned in meaningless continuity which prevents it from doing justice to the logical quantum complexity of the world. The physicists are grasping at all sorts of mathematical straws when we can make the universe (maybe) with simple linear [computational] structure in Hilbert space whose quanta of action are Turing machines strung together rather like the prolegomena but the particles are quanta of action and the messages are the elements of the gauge group which are the inverses of the messages actually transmitted, in effect restoring the symmetry broken by the transmission of information. Shannon tells us that error free messages are packaged or quantized and physics tells us that this quantum [package] is the quantum of action and so we can pick the actual events out of the continuum and see them as what is really happening. The basic example of this is the bifurcation of the quantum of action into potential and kinetic energy [the basic structure of an harmonic oscillator] by splitting nothing into two we are making something, just as writers bring our attention to human situations like the downgrading of women by bringing attention to the split in what some like to take as a unified human species. This is a bit like covariance and contravariance giving a stable identity to events floating otherwise in the flexible [reference] "mollusc" of Gaussian coordinates. Einstein (2005): Relativity: The Special and General Theory

[page 72]

Tuesday 16 February 2021

My problem is also a bit Gaussian insofar as I have to find covariant and contravariant forms of words to express ideas that are still vague in my mind, but for which I hold such great hope that I am careful not to die until I finally achieve a clear expression.

Is Hilbert space continuous or just rational? Hilbert space - Wikipedia

I feel as though I am sitting pretty and it is probably an enjoyable delusion but I am beginning to understand what the gauge theory people are thinking and it seems as though their ideas can be readily adapted to quantum communication and computation, which is what I want. We can work all this pretty much out in Hilbert space without losing too much sleep about the "measurement problem" which will be all solved when we understand how Hilbert space generates Minkowski space. The basic idea that we build the universe as a layered communication network and the lower layers are the symmetries that are applied to create the higher layers looks sound, following the trail from fundamental particles through atoms and molecules to planets and living creatures. High energy physics is great but it does not tell us a lot except that the universe works and we do not really know why. Quantum electrodynamics explains most things of practical interest except nuclear weapons and nuclear power, both verging on obsolete.

So the question is what can a quantum of action do? Execute any logical operation that a computer can do, embedded in a particle.

[page 73]

Taking lessons from the house cat. Now I will sleep.

How do we make a real world? Matter and form; hardware and software [just like making a real computer]. So we see the quantum of action in metaphysical terms as a being whose essence is its existence, its form is its matter and vice versa, a perfect symmetry that is broken many times on its way to becoming the current universe. We are mixing mythology and science, the quantum of action is the agent which makes the universe out of itself by what we imagine to be a cognitive process like our imagination modelled by Cantor's creation of the mathematical universe.

Wednesday 17 February 2021

The actualization of a potential is the solution of a cognitive problem [an insight] as we see looking at the history of human scientific and political development: it can all be brought down to "breakthroughs". MacMillan sees wars as playing this role but we can imagine that the development of lasers, computers, anaesthetics and sewerage have similar or greater impact. Bernard Lonergan (1992): Insight: A Study of Human Understanding

A big breakthrough for multicellular organisms was the development of the immune system and a big break for health care has been learning how it works and how to manipulate it.

What is a cognitive solution?: a certain ordering of actions, one of the large space of actions represented by the transfinite computer

[page 74]

network. Prolegomenon to scientific theology: §4.3 The Universe is infinite

The key to quantum-theology might be a restatement of the transfinite computer network in terms of the interface between Hilbert and Minkowski space, Hilbert providing execution, Minkowski providing operating system in terms of memory and communication.

Discovery might look lik an impossible task if we start building the transfinite network with the 0 natural numbers as Cantor did and the 0 corresponding Turing machines, but in more practical terms the layering of networks first mooted by Turing in building a fully powerful Turing machine on the basis of subroutines of routine operations reduces the magnitude of the problem and provides us with an explanation of symmetry. The first global symmetry is the quantum of action. This is broken by two 'directions' of time to give is potential and kinetic energy, laying a foundation for quantum mechanics and the quantum harmonic oscillator where (perhaps) potential energy is represented by fermions and kinetic energy by bosons, and so it goes.

Quantum mechanics implements the Aristotelian concept of continuity ("extremes in common") since states can unite and separate seamlessly [as vectors] by superposition and separation of a superposition into its component orthogonal parts [through the eigenvalue equation].

The real problem, is to sort out the hadrons and the real answer is that the inner workings of the hadrons predate space?

[page 75]

What I am trying to do is dress up the known facts in a different story without infinities, zero sized particles, enormous cosmological constants and a degree of complexity that seems in appropriate when dealing with a basic structure of the universe that can fabricate itself from a quantum of action in an infinitesimal moment. A worthwhile challenge and the foundation of a theology as simple and straightforward as Genesis but true. "If wishes were horses . . . ".

Thursday 18 February 2021

Maybe QCD is the most complex structure we can build in Hilbert space without the need for memory, that is spacetime. It is in other words a purely dynamic self bootstrapping structure. A clue pointing to this conclusion is that the components of a hadron, quarks and gluons, appear (from the point of view of spacetime) to be point particles, like photons and leptons.

Wilczek says a symmetry is a distinction without a difference. The lack of difference is the identity of appearance [measurement, observation]. The distinction is the operation that (allegedly) makes no observable change (page 58). Frank Wilczek: The Lightness of Being: Mass, Ether, and the Unification of Forces

Friday 19 February 2021

The days go by and my virtual academic year is beginning with a dream to write a quantum theology and a vague idea of doing prolegomemon in quantum terms beginning at the initial

[page 76]

singularity and building the transfinite network in Hilbert space. I need this intellectual step forward to get myself standing to make my opposition to the Catholic History of Salvation more concrete.

I feel that I am starting from a point of total ignorance having read books about quantum theory since the early 60s I still do not know that much about it, yet I have the deluded feeling that I can de something good about it in the theological sphere. As I quite to myself and others frequently "if wishes were horses . . .". Nevertheless I have some sort of faith in my delusions (having been brought up a Catholic and fallen for it largely out of fear of hell and the Viet Nam war) and have two solid grounds: first I have no doubt that quantum mechanics properly interpreted is the foundation of physics; and second, I have no doubt that the universe plays all the roles of god. Now my aim is to replace the fiats of Genesis with a detailed exposition of how god built itself into the universe we now know. It started as one particle and now there are many, so my so my plan to work from Trinity to transfinity is soundly based, and I hope the quantum mechanics of the trinity will help.

We begin with the quantum of action, the divine first particle, god the Father, reproducing itself to create the son, two fermions connected by the spirit, a boson. So easy. Now express this in matrices / wave functions / spin statistics theorem, velocity of light creating fermions, Dirac.

Wilczek loves fields, like Auyang, but we wonder how are such continuous entities represented in a quantum world, by particles and

[page 77]

contact, which is where null geodesics come in.

Wilczek page 88: 'Fields are . . . necessary ingredients of ultimate reality.' How does this differ from reality?

Glashow 1979: 'strong, weak and electromagnetic interactions all arise from a local symmetry principle [ie communication].' Sheldon Glashow: Toward a Unified Theory - Threads in a Tapestry: Nobel lecture 1979

Strong force holds nucleus together; weak force enables it to decay.

Weinberg: 'Symmetry principles made their appearance in twentieth century physics with Einstein's identification of the invariance group of space and time. . . . It was painfully difficult in the 1930s to realise that there are internal symmetries, such as isospin conservation, having nothing to do with space and time, and that only govern what are called strong interactions.' Steven Weinberg: Conceptual Foundations of the Unified Theory of Weak and Electromagnetic Interactions: Nobel lecture 1979

More evidence that strong is pre-space-time.

Yang-Mills SU(2) 2x2 unitary matrices with determinant unity.

Again: 'the only Lorentz invariant and gauge invariant renormalizable Lagrangian for photons and electrons is precisely the original Dirac Lagrangian of QED'.

Einstein in Salam p 523 (1933); 'Pure logical thinking cannot yield any knowledge of the empirical world; all knowledge of reality starts with reality and ends with it [given that the Universe is restricted to a subset of all possible locally consistent being].'Abdus Salam: Gauge Unification of Fundamental Forces: Nobel Lecture 1979

[page 78]

Saturday 20 February 2020

Salam page 529: 'Einstein knew that nature is not economical of structures, only of principles of fundamental applicability. The question we ask ourselves is this: have we yet discovered such principles in our quest for elementarity, to justify having fields with such large numbers of components as elementary.'

Salam: Feynman: ' "As long as it looks like things are built with wheels within wheels, then you are looking for the innermost wheel [the quantum of action>] - but it might not be that way, in which case you are looking for whatever the hell you find. . . .. A few years ago I was very sceptical about gauge theories . . .. I was expecting mist, and now it looks like ridges and valleys after all." '

Feynman III:17 Feynman, Leighton & Sands FLP III:17

Zappa: Much more of a musical genius than I ever knew struggling to find performers to who could make his musical scores into the music he heard in his head. Frank Zappa - Wikipedia

David J. Gross Nobel Lecture 2004 David J. Gross: Nobel lecture: The Discovery of Asymptotic Freedom and the Emergence of QCD

Frank Wilczek Frank Wilczek: Nobel Lecture: Asymptotic Freedom: from Paradox to Paradigm

Gross: QFT lacked any non-perturbative tools
Path integral: non perturbative. Confinement in QCD cannot be explained non-perturbatively.

[page 79]

1950s: ' The idea of permanently bound, confined constituents was unimaginable at the time [because quarks and gluons cannot exist alone in 4-space?]. Second, since pion-nucleon coupling was so large, perturbative expansions were useless and all attempts at perturbative analysis were unsuccessful. [Gross p 61]

Gross page 62: Russia: 'Landau decreed that "we are driven to the conclusion that the Hamiltonian method for strong interaction is dead and must be buried, although of course with due honour." . . . A generation of physicists were forbidden to work on field theory.'

page 64: 'Nowadays we realize that SU(3) is an accidental symmetry, which arises because a few quarks (the up, down and strange quarks) are relatively light compared to the scale of strong interactions.

page 65; quarks not seen → fictitious → 1973+

page 66: Callan and I discovered that my measuring the ratio R = σL / σT where σL (σT) is the cross section for scattering longitudinal (transverse) virtual photons one could determine the spin of the charged constituent of the nucleon. Spin ½ → σL = 0.

page 67: constituents of proton have baryon number ⅓

Once one introduced interactions into the theory . . . scaling went down the tube.

[page 80]

Gross page 71: 'Why are non-Abelian gauge theories asymptotically free? - magnetic screening properties of the vacuum. Anti-screening of the Yang-Mills vacuum is paramagnetism.

page 72: QCD is asymptotically free because the anti-screening of the gluon overcomes the screening due to the quarks. Formula for β-function in non-Abelian gauge theory.

Abstract: 'It is shown that a wide class of non-Abelian gauge theories have, up to calculable logarithmic corrections, free-field asymptotic behaviour. It is suggested that Bjorken scaling my be obtained from strong-interation dynamics based on non-Abelian gauge theory.'

page 78: '. . . the decrease of effective coupling for large energy means that no new physics need arise at short distances. There are no infinities at all, the bare coupling is finite, and in fact it vanishes [so you are saying quarks only interact by anti-screening?]' .

page 79: 'Most, 99%, of the proton mass is due to the kinetic and potential energy of the massless gluons and essentially massless quarks, confined within the proton.'

So we like to think that the proton is a particle that does not need spacetime for its inner structure because the quarks and gluons have sufficient individual character to exist without spatial distinction.

Wilczek page 100: 'In resolving the paradoxes, we were led to a new dynamical principle, asymptotic freedom.'

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Further reading

Books

Beale, R, and T Jackson, Neural Computing: An Introduction, Adam Hilger 1991 Jacket: '. . . starts from basics and goes on to cover all the most important approaches to the subject. . . . The capabilities, advantages and disadvantages of each model are discussed as are possible applications of each. The relationship of the models developed to the brain and its functions are also explored.' 
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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 1895, 1897, 1955 Jacket: 'One of the greatest mathematical classics of all time, this work established a new field of mathematics which was to be of incalculable importance in topology, number theory, analysis, theory of functions, etc, as well as the entire field of modern logic.' 
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Dirac, P A M, The Principles of Quantum Mechanics (4th ed), Oxford UP/Clarendon 1983 Jacket: '[this] is the standard work in the fundamental principles of quantum mechanics, indispensible both to the advanced student and the mature research worker, who will always find it a fresh source of knowledge and stimulation.' (Nature)  
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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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Khinchin, Aleksandr Yakovlevich, Mathematical Foundations of Information Theory (translated by P A Silvermann and M D Friedman), Dover 1957 Jacket: 'The first comprehensive introduction to information theory, this book places the work begun by Shannon and continued by McMillan, Feinstein and Khinchin on a rigorous mathematical basis. For the first time, mathematicians, statisticians, physicists, cyberneticists and communications engineers are offered a lucid, comprehensive introduction to this rapidly growing field.' 
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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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Pais, Abraham, Inward Bound: Of Matter and Forces in the Physical World, Clarendon Press, Oxford University Press 1986 Preface: 'I will attempt to describe what has been discovered and understood about the constituents of matter, the laws to which they are subject and the forces that act on them [in the period 1895-1983]. . . . I will attempt to convey that these have been times of progress and stagnation, of order and chaos, of belief and incredulity, of the conventional and the bizarre; also of revolutionaries and conservatives, of science by individuals and by consortia, of little gadgets and big machines, and of modest funds and big moneys.' AP 
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Reynolds, Henry, Truth-Telling: History, sovereignty and the Uluru Statement , New South / UNSW Press 2021 ' In Truth-Telling, influential historian Henry Reynolds pulls the rug from legal and historical assumptions, with his usual sharp eye and rigour, in a book that's about the present as much as the past. His work shows exactly why our national war memorial must acknowledge the frontier wars, why we must change the date of our national day, and why treaties are important. Most of all, it makes urgently clear that the Uluru Statement is no rhetorical flourish but carries the weight of history and law and gives us a map for the future.' 
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Schwinger, Julian, and (editor), Selected Papers on Quantum Electrodynamics, Dover 1958 Jacket: In this volume the history of quantum electrodynamics is dramatically unfolded through the original words of its creators. It ranges from the initial successes, to the first signs of crisis, and then, with the stimulus of experimental discovery, the new triumphs leading to an unparalleled quantitative accord between theory and experiment. In terminates with the present position in quantum electrodynamics as part of the larger subject of theory of elementary particles, faced with fundamental problems and future prospect of even more revolutionary discoveries.' 
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van der Waerden, B L, Sources of Quantum Mechanics, Dover Publications 1968 Amazon Book Description: 'Seventeen seminal papers, dating from the years 1917-26, in which the quantum theory as wenow know it was developed and formulated. Among the scientists represented: Einstein,Ehrenfest, Bohr, Born, Van Vleck, Heisenberg, Dirac, Pauli and Jordan. All 17 papers translatedinto English.' 
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Veltman (2003), Martinus, Facts and Mysteries in Elementary Particle Physics, World Scientific 2003 'Introduction: The twentieth century has seen an enormous progress in physics. The fundamental physics of the first half of the century was dominated by the theory of relativity, Einstein's theory of gravitation and the theory of quantum mechanics. The second half of the century saw the rise of elementary particle physics. . . . Through this development there has been a subtle change in point of view. In Einstein's theory space and time play an overwhelming dominant role. . . . The view that we would like to defend can perhaps best be explaned by an analogy. To us, space-time and the laws of quantum mechanics are like the decor, the setting of a play. The elementary articles are the actors, and physics is what they do. . . . Thus in this book the elementary particles are the central objects.' 
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Weinberg, Steven, The Quantum Theory of Fields Volume I: Foundations, Cambridge University Press 1995 Jacket: 'After a brief historical outline, the book begins anew with the principles about which we are most certain, relativity and quantum mechanics, and then the properties of particles that follow from these principles. Quantum field theory then emerges from this as a natural consequence. The classic calculations of quantum electrodynamics are presented in a thoroughly modern way, showing the use of path integrals and dimensional regularization. The account of renormalization theory reflects the changes in our view of quantum field theory since the advent of effective field theories. The book's scope extends beyond quantum elelctrodynamics to elementary partricle physics and nuclear physics. It contains much original material, and is peppered with examples and insights drawn from the author's experience as a leader of elementary particle research. Problems are included at the end of each chapter. ' 
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Wiener, Norbert, Cybernetics or Control and Communication in the Animal and the Machine, MIT Press 1996 The classic founding text of cybernetics. 
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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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Links

Abdus Salam, Gauge Unification of Fundamental Forces: Nobel Lecture 1979, ' But are all fundamental forces gauge forces? Can they be understood as such, in terms of charges - and their corresponding currents - only? And if they are, how many charges? What unified entity are the charges components of? What is the nature of charge? Just as Einstein comprehended the nature of gravitational charge in terms of space-time curvature, can we comprehend the nature of the other charges - the nature of the entire unified set, as a set, in term sof something equally profound? This briefly is the dream, much reinforced by the verification of gauge theory predictions. back

Alan Turing, On Computable Numbers, with an application to the Entscheidungsproblem, 'The “computable” numbers may be described briefly as the real numbers whose expression: s as a decimal are calculable by finite means. Although the subject of this paper is ostensibly the computable numbers, it is almost equally easy to define and investigate computable functions of an integral variable or a real or computable variable, computable predicates, and so forth. The fundamental problems involved are, however, the same in each case, and I have chosen the computable numbers for explicit treatment as involving the least cumbrous technique.' back

Apple Inc., Mac Dev Center:Mac OS X Technology Overview: Mac OSX System Overview, 'A Layered Approach The implementation of Mac OS X can be viewed as a set of layers. At the lower layers of the system are the fundamental services on which all software relies. Subsequent layers contain more sophisticated services and technologies that build on (or complement) the layers below.' back

Aristotle, Physics V, iii, ' A thing that is in succession and touches is 'contiguous'. The 'continuous' is a subdivision of the contiguous: things are called continuous when the touching limits of each become one and the same and are, as the word implies, contained in each other: continuity is impossible if these extremities are two. This definition makes it plain that continuity belongs to things that naturally in virtue of their mutual contact form a unity. And in whatever way that which holds them together is one, so too will the whole be one, e.g. by a rivet or glue or contact or organic union. ' 227a10 sqq back

Cade Metz, Silicon Valley’s Safe Space, ' The website had a homely, almost slapdash design with a light blue banner and a strange name: Slate Star Codex. It was nominally a blog, written by a Bay Area psychiatrist who called himself Scott Alexander (a near anagram of Slate Star Codex). It was also the epicenter of a community called the Rationalists, a group that aimed to re-examine the world through cold and careful thought.' back

David J. Gross, Nobel lecture: 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

Dynamics (physics) - Wikipedia, Dynamics (physics) - Wikipedia, the free encyclopedia, 'In the field of physics, the study of the causes of motion and changes in motion is dynamics.' back

Feynman, Leighton & Sands FLP III:17, Chapter 17: Symmetry and Conservation Laws, ' In classical physics there are a number of quantities which are conserved—such as momentum, energy, and angular momentum. Conservation theorems about corresponding quantities also exist in quantum mechanics. The most beautiful thing of quantum mechanics is that the conservation theorems can, in a sense, be derived from something else, whereas in classical mechanics they are practically the starting points of the laws. . . . In quantum mechanics, however, the conservation laws are very deeply related to the principle of superposition of amplitudes, and to the symmetry of physical systems under various changes.' back

FIFA (Federation International de Football Association), FIFA - Laws of the Game, 'On 1 July 2009, the new Laws of the Game, modified at the 123rd Annual General Meeting of the International Football Association Board (IFAB) in Newcastle, Northern Ireland on 28 February 2009, came into force.' back

Fogwill, Hogg & Turney, Earth’s magnetic field broke down 42,000 years ago and caused massive sudden climate change, ' With essentially no magnetic field, our planet totally lost its very effective shield against cosmic radiation, and many more of these very penetrating particles from space could access the top of the atmosphere. On top of this, the Sun experienced several “grand solar minima” throughout this period, during which the overall solar activity was generally much lower but also more unstable, sending out numerous massive solar flares that allowed more powerful ionising cosmic rays to reach Earth.' back

Formalism (mathematics) - Wikipedia, Formalism (mathematics) - Wikipedia, the free encyclopedia, 'In foundations of mathematics, philosophy of mathematics, and philosophy of logic, formalism is a theory that holds that statements of mathematics and logic can be thought of as statements about the consequences of certain string manipulation rules. For example, Euclidean geometry can be seen as a game whose play consists in moving around certain strings of symbols called axioms according to a set of rules called "rules of inference" to generate new strings. In playing this game one can "prove" that the Pythagorean theorem is valid because the string representing the Pythagorean theorem can be constructed using only the stated rules.' back

Frank Brennan, Cardinal Pell, his lawyers and the Royal Commission, 'The fact that these men were sexually abused as children is uncontested. The issue is whether their claims that Pell knew or tried to effect some form of cover-up are true and accurate recollections. Given the high degree of scrutiny applied to Pell by the commission and the media, it's only fair that he have his lawyers cross examine these two victims who claim that he did not want to know that abuse occurred or even worse, that he tried to cover it up. And it is appropriate given that both Green and Ridsdale have indicated they have no objection being recalled to be so examined.' 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

Frank Zappa - Wikipedia, Frank Zappa - Wikipedia - the free encyclopedia, ' Frank Vincent Zappa (December 21, 1940 – December 4, 1993) was an American singer-songwriter, multi-instrumentalist, composer, film-maker, and bandleader. His work is characterized by nonconformity, free-form improvisation, sound experiments, musical virtuosity, and satire of American culture. In a career spanning more than 30 years, Zappa composed rock, pop, jazz, jazz fusion, orchestral and musique concrète works, and produced almost all of the 60-plus albums that he released with his band the Mothers of Invention and as a solo artist. Zappa also directed feature-length films and music videos, and designed album covers. He is considered one of the most innovative and stylistically diverse rock musicians of his era.' back

Free Software Foundation, Free Software Foundation - GNU Project - FSF, 'What we do The FSF advocates for free software ideals as outlined in the Free Software Definition, works for adoption of free software and free media formats, and organizes activist campaigns against threats to user freedom like Windows 7, Apple's iPhone and OS X, DRM on ebooks and movies, and software patents. We drive development of the GNU operating system and maintain a list of high-priority free software projects to promote replacements for common proprietary applications. We build and update resources useful for the free software community like the Free Software and Hardware Directories, and the free software jobs board. We also provide licenses for free software developers to share their code, including the GNU General Public License.' back

H. David Politzer, Nobel Lecture: The Dilemma of Attribution, ' . . . I believe that it is the overwhelming consensus (but by no means unanimous) opinion of researchers in the field -- and I personally agree -- that the discovery of asymptotic freedom was a genuinely crucial event. For some, it made everything clear. For others, it was only the beginning. And for yet others, it was the beginning of the final chapter. But in any case, it was key.' back

Henry Reynolds, Friday essay: it’s time for a new museum dedicated to the fighters of the frontier wars, ' It was the war in Tasmania in the 1820s that produced one of colonial Australia’s most provocative manifestos. It was printed in a Launceston newspaper at the very end of five years of conflict. The author J.E., assumed to be the young surveyor James Erskine Calder, posed what he called some solemn questions about the islands’ Aboriginal peoples. He declared: We are at war with them: they look upon us as enemies – as invaders – as their oppressors and persecutors – they resist our invasion. They have never been subdued, therefore they are not rebellious subjects, but an injured nation, defending in their own way, their rightful possessions, which have been torn from them by force. Given the time that it was written that was provocative enough. But J.E. followed the logic of his position much further arguing: What we call their crime is what in a white man we should call patriotism. Where is the man amongst ourselves who would not resist an invading enemy; who would not avenge the murder of his parents, the ill-usage of his wife and daughters, and the spoliation of all his earthly goods, by a foreign enemy, if he had an opportunity? He who would not do so, would be scouted, execrated, nay executed as a coward and a traitor; while he who did would be immortalised as a patriot. Why then shall deny the same feelings to the Blacks? How can we condemn as a crime in these savages what we should esteem as a virtue in ourselves? Why punish a black man with death for doing that which a white man would be executed for not doing? They were challenging questions then. They remain so today. back

Henry W. Kendall, Deep Inelastic Scattering: Experiments on the Proton and the Observation of Scaling (II), ' There are three lectures that, taken together, describe the MIT-SLACexperiments. The first, written by R.E.Taylor sets out the early history of the construction of the two mile accelerator, the proposal smade for the construction of the electron scattering facility, the antecedent physics experiments at other laboratories, and the first of our scattering experiments which determined the elastic proton structure form factors. This paper describes the knowledge and beliefs about the nucleon’s internal structure in 1968, including the conflicting views on the validity of the quark model and the “bootstrap” models of the nucleon. . . . The last lecture,by J. I. Friedman (Reference 2), isconcerned with the later measurements of inelastic electron-neutron andelectron-proton measurements and the details of the physical theory - theconstituent quark model - which the experimental scattering results stimu-lated and subsequently, in conjunction with neutrino studies, confirmed. back

Jerome I Friedman, Deep Inelastic Scattering: Comparisons with the quark model: Nobel Lecture 1990 , ' The first suggestion that deep inelastic scattering might provide evidence of elementary constituents was made by Bjorken in his 1967 Varenna lectures. Studying the sum rule predictions derived from current algebra, he stated, ". . . We find these relations so perspicuous that, by an apeal to history, an intepretation in terms of elementary constituents is suggested." . . . The constituent model which opened the way for a simple dynamical interpretation of the deep inelastic results was the parton model of Feynman. He developed this model to describe hadon hadron interactions in which the constituents of one hadron interact with hose of the other.' back

Kamel Daoud, The Sexual Misery of the Arab World, 'The attacks on Western women by Arab migrants in Cologne, Germany, on New Year’s Eve evoked the harassment of women in Tahrir Square itself during the heady days of the Egyptian revolution. The reminder has led people in the West to realize that one of the great miseries plaguing much of the so-called Arab world, and the Muslim world more generally, is its sick relationship with women. In some places, women are veiled, stoned and killed; at a minimum, they are blamed for sowing disorder in the ideal society. In response, some European countries have taken to producing guides of good conduct to refugees and migrants.' back

Kristina Keneally, When I first geard Tim Minchon's song about Cardinal Pell. I laughted. The I started crying, 'But a whimsical, acerbic and mocking take down of Cardinal Pell? What’s there to cry about? For starters, it provoked sorrow at my loss of faith in the church, an organisation that has done much good but nonetheless values its rules, assets, and male privilege above all else. I cried because there was little else I could do with my deep fury that neither Pell nor his mates at the Vatican appear to take seriously the need to respond fully and openly, and to reform the church, in the face of the child sexual abuse crisis.' back

Lagrangian mechanics - Wikipedia, Lagrangian mechanics - Wikipedia, the free encyclopedia, 'Lagrangian mechanics is a re-formulation of classical mechanics that combines conservation of momentum with conservation of energy. It was introduced by Joseph Louis Lagrange in 1788. In Lagrangian mechanics, the trajectory of a system of particles is derived by solving Lagrange's equation, given herein, for each of the system's generalized coordinates. The fundamental lemma of calculus of variations shows that solving Lagrange's equation is equivalent to finding the path that minimizes the action functional, a quantity that is the integral of the Lagrangian over time.' back

Laurie Goodstein, Catholic Leaders Say Zika Doesn't Change Ban on Contraception, 'As the Zika virus spreads in Latin America, Catholic leaders are warning women against using contraceptives or having abortions, even as health officials in some countries are advising women not to get pregnant because of the risk of birth defects. . . . “Contraceptives are not a solution,” said Bishop Leonardo Ulrich Steiner, the secretary general of the National Council of Bishops of Brazil, and an auxiliary bishop of Brasília, in an interview. “There is not a single change in the church’s position.”' back

Mandy Len Caron, Five myths about love, 'Love is patient. Love is kind. Love is...detectable on an fMRI scan? Poets have written about love for millennia, but only recently has it become a subject of serious scientific pursuit. Psychologists, biologists, economists and anthropologists are all investigating the role of love in our lives and our culture.' back

Max Costello, Obey 'the boss' or obey the law? The dilemma of detention policy, 'The Department of Immigration and Border Protection is considering returning — to the Manus Island or Nauru detention centres — each of the 267 asylum seekers who are currently in Australia to receive medical (including psychiatric) treatment, or, in a few instances, to support a family member receiving treatment. However, each “return or not return” decision is not a matter of pure discretion, it’s a matter of law — hence, as we shall see, the dilemma. Specifically, the decision-making is governed by the criteria set out in the Work Health and Safety Act 2011 (Cth). The WHS Act applies to all detention centres because each one is a Commonwealth “workplace” as defined by Section 8.' back

Paul A. M. Dirac, Theory of Electrons and Positrons, Nobel Lecture 1933, ' There exists no relativistic quantum mechanics (that is, one valid for large velocities) which can be applied to particles with arbitrary properties. Thus when one subjects quantum mechanics to relativistic requirements, one imposes restrictions on the properties of the particle. In this way one can deduce information about the particles from purely theoretical considerations, based on general physical principles. This procedure is successful in the case of electrons and positrons. ' back

Pierre Louis Maupertuis - Wikipedia, Pierre Louis Maupertuis - Wikipedia, the free encyclopedia, 'Pierre Louis Moreau de Maupertuis (1698 – 27 July 1759) was a French mathematician, philosopher and man of letters. . . . Maupertuis made an expedition to Lapland to determine the shape of the Earth. He is often credited with having invented the principle of least action; a version is known as Maupertuis' principle – an integral equation that determines the path followed by a physical system.' back

Richard E Taylor, Deep Inelastic Scattering: The Early Years; Nobel Lecture December 1990 (i), back

Sarlenga, Miall, Cole & Sainberg, Proprioception, our imperceptible 6th sense , ' So what is proprioception? It is the sense allowing us to feel and locate our body parts. Close your eyes, ask someone to move your right foot, and you will still know where it is. In fact, you can describe your body posture thanks to the integration by the nervous system of neurophysiological signals from receptors – proprioceptors – in the muscles, tendons, joints and skin that are sensitive to muscle length and force, to joint rotation, and to local bending of the skin. Proprioception is a key component of our “global positioning system”, which is essential in our daily life because we need to know where we are in order to move somewhere. Proprioception enables us to determine each body part’s position, speed and direction, whether we see it or not, and so enables the brain to guide our movements.' back

Schrödinger equation - Wikipedia, Schrödinger equation - Wikipedia, the free encyclopedia, 'IIn quantum mechanics, the Schrödinger equation is a partial differential equation that describes how the quantum state of a quantum system changes with time. It was formulated in late 1925, and published in 1926, by the Austrian physicist Erwin Schrödinger. . . . In classical mechanics Newton's second law, (F = ma), is used to mathematically predict what a given system will do at any time after a known initial condition. In quantum mechanics, the analogue of Newton's law is Schrödinger's equation for a quantum system (usually atoms, molecules, and subatomic particles whether free, bound, or localized). It is not a simple algebraic equation, but in general a linear partial differential equation, describing the time-evolution of the system's wave function (also called a "state function").' back

Sheldon Glashow, Toward a Unified Theory - Threads in a Tapestry: Nobel lecture 1979, ' In 1956, when I began doing theoretical physics, the study of elementary particles was like a patchwork quilt. Electrodynamics, weak interactions, and strong interactions were clearly separate disciplines, separately taught and separately studied. There was no coherent theory that described themall. Developments such as the observation of parity violation, the successes of quantum electrodynamics, the discovery of hadron resonances and the appearance of strangeness were well-defined parts of the picture, but they could not be easily fitted together. Things have changed. Today we have what has been called a “standard theory” of elementary particle physics in which strong, weak, and electro-magnetic interactions all arise from a local symmetry principle. It is, in a sense, a complete and apparently correct theory, offering a qualitative description of all particle phenomena and precise quantitative predictions in many instances. There is no experimental data that contradicts the theory. In principle, if not yet in practice, all experimental data can be expressed in terms of a small number of “fundamental” masses and coupling constants. The theory we now have is an integral work of art: the patchwork quilt has become a tapestry. ' back

Stephanie Kirchgaessner, Vatican riven by internal battle over handling of child abuse claims, 'A battle is being waged within the Vatican over how senior clergy ought to handle accusations of sexual abuse amid signs that a special commission created by Pope Francis to handle the issue is being sidelined by senior church officials in Rome. The rift was exposed after a report in the Guardian about a training course that was offered to new bishops last year in which a controversial French monsignor instructed them that it was “not necessarily” their duty to report accusations of abuse to law enforcement authorities if local laws did not require it. That stance was rejected this week by Pope Francis’s point man on abuse issues, Boston cardinal Seán O’Malley, who heads a special pontifical commission to protect minors.' back

Stephanie Kirchgaessner, Catholic bishops not obliged to report clerical child abuse, Vatican says, 'The Catholic church is telling newly appointed bishops that it is “not necessarily” their duty to report accusations of clerical child abuse and that only victims or their families should make the decision to report abuse to police. . . . “According to the state of civil laws of each country where reporting is obligatory, it is not necessarily the duty of the bishop to report suspects to authorities, the police or state prosecutors in the moment when they are made aware of crimes or sinful deeds,” the training document states. back

Steven Weinberg, Conceptual Foundations of the Unified Theory of Weak and Electromagnetic Interactions: Nobel lecture 1979, ' In this talk, I want to discuss the development of two lines of thought in theoretical physics. One of them is the slow growth in our understanding of symmetry, and in particular, broken or hidden symmetry. The other is the old struggle to come to terms with the infinities in quantum field theories. To a remarkable degree, our present detailed theories of elementary particle interactions can be understood deductively, as consequences of symmetry principles and of a principle of renormalizability which is invoked to deal with the infinities. I will also briefly describe how the convergence of these lines of thought led to my own work on the unification of weak and electromagnetic interactions.' back

themedicalbiochemistrypage.org, Muscle Biochemistry: Structure and Function, 'Current understanding of the molecular events underlying muscle contraction is embodied in the sliding filament model of muscle contraction. The model is applicable to smooth, skeletal, cardiac, and other contractile activity, including mechanochemical events such as single cell locomotion and receptor endocytosis. Since the biochemistry of these activities are best understood for skeletal muscle, this discussion focus on skeletal muscle (noting, where appropriate, differences in the other muscle types). The biochemical characteristics that differentiate fast-reacting and slow-reacting cells in muscle tissue and the biochemical basis of some common patho-physiological states of muscle, including tetany, fatigue, and rigor mortis are reviewed as well.' back

Victor M Fic, The tantra: its origin, theories, art and diffusion from India to Nepal, Tibet, China, Mongolia and Indonesia, Preface: 'The Tantra is a body of theories, techniques and rituals developed in India in antiquity. It has two fundamental aspects. The first aspect of the Tantra is the theory of creation, which posits that the universe has no beginning and no end, and that all its manifestations are merely the projections of the divine energy of its Creator. The second aspect of Tantra is the belief that the performance of Tantrik techniques and rituals facilitates access to this divine energy, enabling their practitioners to empower themselves, as well as other associated with them in the guru-disciple relationship. Thus the knowledge and proper application of Tantrik techniques and rituals is believed to harness the Creator's cosmic energies to the promotion of the mundane as well as the spiritual goals of their practitioners.' back

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

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