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vol VII: Notes

2012

Notes

[Sunday 19 August 2012 - Saturday 25 August 2012]

[Notebook: DB 73 Spring2012]

Sunday 19 August 2012

[page 44]

Monday 20 August 2012

Why quantized? Why uncertain? Independence is part of growing up. Proof of creation.

It is tautologically true that the Universe has exited always (for all time) insofar as time came into existence at the same time as the Universe, so we can call it eternal like God. We have no more knowledge of the origin of God than we have of the origin of the initial singularity from which the Universe has grown.

Knowledge, fitness : the basic knowledge for survival is of our peers., We have to judge by outwart signals what a person is thinking and devise strategies for getting there to add rather than subtract from our personal fitness. This is a very approximate art, some are good at it, other not.

Mantel, Wolf Hall, Jacket:Moore quote. Mantel

The need to know one's local conspecifics and other relevant species has been with us since bacterial days, and is the foundation of all subsequent knowledge. The historical record is sparse, but we can see Parmenides and Heraclitus as a first step away from imagining the ruler of the world to have a completely unpredictable personality to a more stable and reliable power that began with Parmenides and was developed by Plato, Aristotle and Aquinas and many thousands of others to give us the standard Western Christian model of God.

[page 45]

The gradual relaization that the world has a nature of its own culminates in the belief that the world creates itself.

While Plato would see the world as a pale shadow of a perfect Heaven, Aristotle, his student, begins to bring the forms down to earth, giving the world a fixed nature of its own, open to study,. Aristotle studied it meticulously and produced a body of work that is still debated today. Some say Aristotle delayed the onset of science , but we must credit him with the beginnings of the logic and empiricism that brought us to this point in our scientific evolution.

. . .

The idea that the Universe creates itself without any outside help has deep epistemological ramifications. Traditionally God is pure action, the realization of all possibility. Mathematics suggests that this is impossible, a question we will return to. We shall say that God is subject to no external constraint. The only constraint we can imagine on God is self consistency.

The Christian view, on the other hand, is that this is one of many possible Universes that God could have created. Since is it a particular product it in no way exhausts the space of possible Universes.

Observable / communicable / quantized.

[page 46]

One is not altogether surprized to see that God has given the control of good and evil to the Christians themselves. Rather like the Bush who may have said we are an empire now and we can ignore reality. Reality-based community - Wikipedia

So we ask ourselves, what if this Universe embraces all possibilities, not just the subset of possibilities realized in it by the creator.

Parmenides is on the boundary between the troublesome Gods of the Iliad and the totally perfect being conjured up by Aquinas, 2000 years each side of him.

What was Newton's model of God? Unitarian. Stephen David Snobelen

Tuesday 21 August 2012
Wednesday 22 August 2012

Look in Scholium. Newton

Half the power of science lies in its very formal approach to describing the world. The other half, of course, lies in fitting the formalism ('the literature') to careful observations of the features of the world wee seek to understand through our models.

We, like our environment, are complex creatures, sending and receiving many messages at many levels at once. None of these messages make much sense excepts they are encoded and decoded in the complex space of existence and short as they might be each is a point in that space which carries as much information as the

[page 47]

entropy of the space.

Wigner - mathematics, the most powerful. Wigner

Cantor and the power of order - transfinite function theory. Cantor

As the mathematics community executes the dynamics of the mathematical literature.

The world makes itself - the existence of uncertainty makes this possible in a consistent world.

Mantel page 301: 'They have their old bores, their glass saints in windows, their candles and shrines, but God gave us the printing press.

Simplicity / fixed point theorem.

Thursday 23 August 2012

Cantor Universe / Initial singularity / empty set
Quantum Mechanics / Symmetry / Continuity / Shannon
Complexification
Creation

The collapse problem - from wave equation to eigenfunctions and eigenvalues.

The ancient question remains - how did this get here in the first place, God or not God?

[page 48]

Mantel page 431: 'I was always desired, but now I am valued. And that is a different thing, I find.'

In the traditional mathematical theory of continuity there are no atoms. Every epsilon and every delta can be divided by two. Cantor atomized the study of continuity.

I'm in the mood for theology. A dangerous game of life and death for believers and/or unbelievers.

Will it come out tomorrow?

Mantel page 514: 'It is necessary to break the hold of these people who talk of end times and threaten us with plagues and damnation. It is necessary to dispel the terror they create.'

Cantor laid the foundations of quantum mechanics by atomizing continuity. He was trying to find a way to represent the cardinal of the continuum,. Aristotle said those things are continuous that have their ends in common, but mathematics following Euclid has taken another tack and set out to construct the continuum out of identifiable points,

Mantel page 532 'His guess is the clergy own a third of England.'

Friday 24 August 2012

[page 49]

'mantel page 504: 'Lock Cromwell in a deep dungeon and when you come back that night he'll be sitting on a plush cushion, eating larks' tongues, and all the gaolers will owe him money'. Alice More.

Pure action + symmetry = anything can happen.

Aristotle pioneers the road from physics to theology and it remains open to us because God and the Universe are one.

Saturday 25 August 2012

Sun comes in at 7.03 - the invincible sun (Constantine) is winning again and soon my frozen hand will be warm enough to write. Sol Invictus - Wikipedia

Keep in mind that the Sun energizes the Earth at x calculate the rate of our profligate polluting fossil fuelled energy system. [Earth intercepts about 130 million gigawatts of solar energy for 31 million seconds per year = 4 x 1024 Joules per year. Human consumption is about 10 billion tonnes coal equivalent per years, which is 3 x 1020 Joules. Ie sun gives us ten thousand times as much energy as we use]. Orders of magnitude (energy) - Wikipedia

Did God create the world? Can see my way to the end of this essay after the usual night of worry. Perhaps the subconscious discourages me from doing things until I am ready for it: do not shoot until the probability of a positive outcome is sufficiently tight - the basic evolutionary constraint of prudence. Do not climb the ladder unless it is stable. Examine all situations carefully for failure modes before proceeding,. Limit oneself to effective actions when things are tight (which seems to be almost always, but always looking forward to a surplus and a holiday.

[page 50]

Tomorrow is deadline for FQXi. Seems rough, disjointed but a few good sentences, and seems a step closer to

Quantum amplitudes and wave functions are not subject to the velocity of light as owe see from, entanglement and 'spooky action at a distance'. Quantum mechanics is non-local. Salart et al

As we did down the mine seems to become richer (and the rate of pieces fitting together is increasing) and even as little exciting as some scent of success looms on the mist, at least for myself a consistent story which helps me to appreciate my life and face my ultimate death.

Cantor Universe: the whole story that Cantor put together about digital infinity.

The whole entropy of a space applies to every point in it, so the sentence representing the position of all the points is n log n, ie log n of entropy per point for n points if we list all the points. On the other hand we might say the entropy of this arrangement is zero because every [point is fixed, there is no freedom.

Energy is a factor in amplitude, like momentum and space.

Requisite variety: the relationship between two people (if it is free) is more complex than either person so neither can control it without reducing the variety of

[page 51]

the relationship. Does this mean that it takes a church to hold people together?

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Further reading

Books

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

Ashby, W Ross, An Introduction to Cybernetics, Methuen 1964 'This book is intended to provide [an introduction to cybernetics]. It starts from common-place and well understood concepts, and proceeds step by step to show how these concepts can be made exact, and how they can be developed until they lead into such subjects as feedback, stability, regulation, ultrastability, information, coding, noise and other cybernetic topics' 
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Cantor, Georg, Contributions to the FoundinCantorg of the Theory of Transfinite Numbers (Translated, with Introduction and Notes by Philip E B Jourdain), Dover 1955 Jacket: 'One of the greatest mathematical classics of all time, this work established a new field of mathematics which was to be of incalculable importance in topology, number theory, analysis, theory of functions, etc, as well as the entire field of modern logic.' 
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  back
Lo, Hoi-Kwong, and Tim Spiller, Sandra Popescu, Introduction to Quantum Computation and Information, World Scientific 1998 Jacket: 'This book provides a pedagogical introduction to the subjects of quantum information and computation. Topics include non-locality of quantum mechanics, quantum computation, quantum cryptography, quantum error correction, fault tolerant quantum computation, as well as some experimental aspects of quantum computation and quantum cryptography. A knowledge of basic quantum mechanics is assumed.' 
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Lonergan, Bernard J F, Insight : A Study of Human Understanding (Collected Works of Bernard Lonergan : Volume 3), University of Toronto Press 1992 '... Bernard Lonergan's masterwork. Its aim is nothing less than insight into insight itself, an understanding of understanding' 
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Mantel, Hilary, Wolf Hall, Henry Holt and Co. 2009 'Amazon Best of the Month, October 2009: No character in the canon has been writ larger than Henry VIII, but that didn't stop Hilary Mantel. She strides through centuries, past acres of novels, histories, biographies, and plays--even past Henry himself--confident in the knowledge that to recast history's most mercurial sovereign, it's not the King she needs to see, but one of the King's most mysterious agents. Enter Thomas Cromwell, a self-made man and remarkable polymath who ascends to the King's right hand. Rigorously pragmatic and forward-thinking, Cromwell has little interest in what motivates his Majesty, and although he makes way for Henry's marriage to the infamous Anne Boleyn, it's the future of a free England that he honors above all else and hopes to secure. Mantel plots with a sleight of hand, making full use of her masterful grasp on the facts without weighing down her prose. The opening cast of characters and family trees may give initial pause to some readers, but persevere: the witty, whip-smart lines volleying the action forward may convince you a short stay in the Tower of London might not be so bad... provided you could bring a copy of Wolf Hall along. '--Anne Bartholomew 
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Newton, Isaac, and Julia Budenz, I. Bernard Cohen, Anne Whitman (Translators), The Principia : Mathematical Principles of Natural Philosophy, University of California Press 1999 This completely new translation, the first in 270 years, is based on the third (1726) edition, the final revised version approved by Newton; it includes extracts from the earlier editions, corrects errors found in earlier versions, and replaces archaic English with contemporary prose and up-to-date mathematical forms. ... The illuminating Guide to the Principia by I. Bernard Cohen, along with his and Anne Whitman's translation, will make this preeminent work truly accessible for today's scientists, scholars, and students. 
Amazon
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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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Wigner, Eugene, Symmetries and Reflections: Scientific Essays , MIT Press 1970 Jacket: 'This volume contains some of Professor Wigner's more popular papers which, in their diversity of subject and clarity of style, reflect the author's deep analytical powers and the remarkable scope of his interests. Included are articles on the nature of physical symmetry, invariance and conservation principles, the structure of solid bodies and of the compound nucleus, the theory of nuclear fission, the effects of radiation on solids, and the epistemological problems of quantum mechanics. Other articles deal with the story of the first man-made nuclear chain reaction, the long term prospects of nuclear energy, the problems of Big Science, and the role of mathematics in the natural sciences. In addition, the book contains statements of Wigner's convictions and beliefs as well as memoirs of his friends Enrico Fermi and John von Neumann. Eugene P. Wigner is one of the architects of the atomic age. He worked with Enrco Fermi at the Metallurgical Laboratory of the University of Chicago at the beginning of the Manhattan Project, and he has gone on to receive the highest honours that science and his country can bestow, including the Nobel Prize for physics, the Max Planck Medal, the Enrico Fermi Award and the Atoms for Peace Award. '. 
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Papers
Aspect, Alain , Jean Dalibard , and Gérard Roger, "Experimental Test of Bell's Inequalities Using Time-Varying Analyzers", Physical Review Letters,, 49, Issue 25, 1982, page 1804-1807. 'Correlations of linear polarizations of pairs of photons have been measured with time-varying analyzers. The analyzer in each leg of the apparatus is an acousto-optical switch followed by two linear polarizers. The switches operate at incommensurate frequencies near 50 MHz. Each analyzer amounts to a polarizer which jumps between two orientations in a time short compared with the photon transit time. The results are in good agreement with quantum mechanical predictions but violate Bell's inequalities by 5 standard deviations.. back
d'Espagnat, Bernard, "Quantum theory and reality", Scientific American, 241, 5, November 1979, page 128-140. 'Most particles or aggregates of particles that are ordinarily regarded as separate objects have interacted at some time in the past with other objects. The violation of separability seems to imply that in some sense all these objects constitute an indivisible whole. Perhaps in such a world the concept of an independently existing reality can reatain some meaning, but it will be an altered meaning and one remove from everyday experience.' (page 140). back
Salart, Daniel, et al, "Testing the speed of 'spooky action at a distance'", Nature, 454, , 14 August 2008, page 861-864. 'Correlations are generally described by one of two mechanisms: either a first event influences a second one by sending information encoded in bosons or other physical carriers, or the correlated events have some common causes in their shared history. Quantum physics predicts an entirely different kind of cause for some correlations, named entanglement. This reveals itself in correlations that violate Bell inequalities (implying that they cannot be described by common causes) between space-like separated events (implying that they cannot be described by classical communication). Many Bell tests have been performed, and loopholes related to locality and detection have been closed in several independent experiments. It is still possible that a first event could influence a second, but the speed of this hypothetical influence (Einstein's 'spooky action at a distance') would need to be defined in some universal privileged reference frame and be greater than the speed of light. Here we put stringent experimental bounds on the speed of all such hypothetical influences. We performed a Bell test over more than 24 hours between two villages separated by 18 km and approximately east–west oriented, with the source located precisely in the middle. We continuously observed two-photon interferences well above the Bell inequality threshold. Taking advantage of the Earth's rotation, the configuration of our experiment allowed us to determine, for any hypothetically privileged frame, a lower bound for the speed of the influence. For example, if such a privileged reference frame exists and is such that the Earth's speed in this frame is less than 10-3 times that of the speed of light, then the speed of the influence would have to exceed that of light by at least four orders of magnitude.. back
Links
Einstein, Podolsky and Rosen Can the Quantum Mechanical Description of Physical Reality be Considered Complete?? A PDF of the classic paper. 'In a complete theory there is an element corresponding to each element of reality. A sufficient condition for the reality of a physical quantity is the possibility of predicting it with certainty, without disturbing the system. In quantum mechanics in the case of two physical quantities described by non-commuting operators, the knowledge of one precludes the knowledge of the other. Then either (1) the description of reality given by the wave function in quantum mechanics is not complete or (2) these two quantities cannot have simultaneous reality. Consideration of the problem of making predictions concerning a system on the basis of measurements made on another system that had previously interacted with it leads to the result that if (1) is false then (2) is also false, One is thus led to conclude that the description of reality given by the wave function is not complete.' back
Orders of magnitude (energy) - Wikipedia Orders of magnitude (energy) - Wikipedia, the free encyclopedia 'This list compares various energies in joules (J), organized by order of magnitude.' back
Reality-based community - Wikipedia Reality-based community - Wikipedia, the free encyclopedia 'The source of the term is a quotation in an October 17, 2004, New York Times Magazine article by writer Ron Suskind, quoting an unnamed aide to George W. Bush: The aide said that guys like me were "in what we call the reality-based community," which he defined as people who "believe that solutions emerge from your judicious study of discernible reality." ... "That's not the way the world really works anymore," he continued. "We're an empire now, and when we act, we create our own reality. And while you're studying that reality—judiciously, as you will—we'll act again, creating other new realities, which you can study too, and that's how things will sort out. We're history's actors…and you, all of you, will be left to just study what we do.' back
Sol Invictus - Wikipedia Sol Invictus - Wikipedia, the feee encyclopedia 'Sol Invictus ("Invincible Sun") was the official sun god of the later Roman Empire. In 274 the Roman emperor Aurelian made it an official cult alongside the traditional Roman cults. Scholars disagree whether the new deity was a refoundation of the ancient Latin cult of Sol, a revival of the cult of Elagabalus or completely new. The god was favored by emperors after Aurelian and appeared on their coins until Constantine. The last inscription referring to Sol Invictus dates to 387 AD[5] and there were enough devotees in the 5th century that Augustine found it necessary to preach against them.' back
Stephen David Snobelen Isaac Newton Theology, Prophecy, Science and Religion 'At the end of the seventeenth century, Isaac Newton (1642-1727) initiated a revolution in science. At the end of the twentieth century, scholars began a revolution in the understanding of Newton. As Newton's long-concealed private papers on theology become increasingly accessible, students of Newton's thought are coming to see Newton as more than a scientist. The author of the Principia mathematica was a true Renaissance man who spent decades delving in the secrets of alchemy and even longer studying the Bible, theology and church history. Leaving behind four million words on theology, Newton was one of the greatest lay theologians of his age. A study of Newton's theology and prophetic views illuminates the life of this great thinker and helps us understand his science.' back

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