vol VII: Notes

2014

Notes

[Notebook: DB 77 Discretion]

[Sunday 16 March 2014 - Saturday 22 March 2014]

[page 87]

Sunday 16 March 2014

Monday 17 March 2014

Forces of constraint perform no work, ds = 0.

Network approach does not need a coordinate system in that every interaction can be treated locally 'on the merits' without reference to what everyone else is doing. I hear and respond only to the 'person' that is talKing to me at any moment.

[page 90]

The Church is based on a false concept of humanity. To it we are serfs, slaves or sheep to be ruleD as a king rules his kingdom, assuming power of life and death over every one of them, eg Kim Jong-un. In the modern view, we are all free agents, and nobody is permitted to tell us what to do or kill us except, in rare circumstances, our peers in self defence or for the common good as long as the punishment fits the crime. Kim Jong-un - Wikipedia

This attitude was imprinted on the Church from the beginning. God demanded absolute obedience and the people disobeyed. The penalty was death, pain and work, death at the end of a life of pain and work. And the crime, explained by Satan: "God knows well that as soon as you eat of this fruit your eyes will be opened and you yourselves wil be like Gods, knowing good and evil." This event may be seen as the origin of consciousness, awareness Of the difficulties of life which we are disinclined to attribute to animals. The original sin was curiosity. The Book of Genesis 3:5, Jaynes: The Origin of Consciousness

Our basic need is food and the basic sign of good government is a universal and sufficient food supply.

Noether: Invariance with passage along a continuum says that nothing happens as you move along a continuum, ie a continuum is a symmetry. The next question is 'continuum of what?' and here we allow multidimensional structures whose dimensions are continuous in the same was as the natural line. The Cantor symmetry recognises the continuity in the process of generating transfinite numbers by permutation, ie elements bonding in different orders, like molecules, constrained by the properties of the bond. Neuenschwander: Emmy Noether

Sine I live in quite a small community, there is a limit to the specialization of workers and processes so I am constrained to be a jack of all trades, and since I am doing many jobs for the first time, I must learn on the job.

Neuenschwander page 91: 'Quantum mechanics depends crucially on the conservation of probability.' Meaning? Quantum mechanical sources are normalized like communication sources so if p_i is the probability of observing the eigenvalue e_i, ∑_i p_i = 1

All the arithmetic in physics is ultimately dealing with a count of quanta of action, ie atomic operations.

Gauge transformation: transform phase leaving spacetime coordinates unchanged. Neuenschwander page 113.

In the Hamiltonian formulation coordinates and momenta are duals [linked by differentiation and integration].

Tuesday 18 March 2014

The notion that the visible Universe is a representation of the fixed points in the divine dynamics places no limit on the number of fixed points, but it does demand a consistent connection between them, since we assume that the divine dynamics is self consistent.

SUPERPOSITION —> NETWORK. My mind is a superposition of ideas that 'emit' themselves with a certain probability

[page 92]

structure, part of which could be measured by studying these notebooks. Quantum mechanics makes the same mistake as Catholic theology, imagining that information can be stored on a continuum. The way out of course is that the dynamic continuum has fixed points.

We can see dynamics generating fixed points in the evolution of the design of heat engines where engineers in pursuit of an idea constructed boilers, cylinders, pistons, cranks, etc out of metal to constrain the dynamics of fire, water, steam, fuel, air and so on to give a revolving shaft.

It may be a mistake to think that the first step after absoluet montheism (omnino simplicitas is binary (Father/Son) then ternary (trinity) and so on through quaternary to transfinite. The complexity of fundamental physics seems to argue against this, but when we start looking at it in detail, however, we see many simple things like 2 state and 3 state systems U(1) U2) etc and so there is hope for the incremental creation of complexity. A lot of the trouble seems to be introduced by the physicists' insistence on contnuous processes and building large transformation from infinitesimal transformations as we see in the use of continuous groups all over the place.

My most constant feeling about all this seems to be a sort of excited despair, feeling that I am onto something which I cannot catch. One of the biggest problems is finding the interface between modern physics and my ideas. What I have to keep reminding myself is that physics with all its textbooks, articles and machines is a set of stationary points in the minds and the milieu of the physics community,

a way of seeing and doing things which may be relatively ephemeral in the overall history of science.

Agatha autobiography page 452; 'Roger Akroyd played about in my mind for a long time before I could get the details fixed.

page 453: Roman Catholic Church: 'Where there is no humility the people perish.'

Wednesday 19 March 2014

Covariant derivative = network derivative

What can the part know of the whole? I has local knowledge, ie self knowledge, from which is can extrapolate to the whole as Einstein extrapolated from the local inertial frame to the global curved frame. So my self knowledge is my local knowledge of God starting from what I know of myself, in free fall, ie not communicating with anybody else and then taking into account my links with others.

Science visualization challenge, Mapping world onto 4D, ie 2D space, 1D time, 1D colour. Science 7 February 2014.

By making God invisible and mysterious, the Catholic Church gave itself carte blanche to make up a God to suit itself. And it did so, giving itself a back story by coopting the Hebrew Bible (aka The Old Testament) and adding new episodes of its own, inventing the Redemption as a reinterpretation of the Fall, adding a new eschatology and proving once for all what a heartless bastard Yahweh is: "God so loved the World that he gave his one and only Son" to be cruelly mordered to appease himself. (John 3:16, Gn 22:2)

[page 94]

Induction into corporate systems is often a process of dehumanization, converting a loving member of the human community into something of a nazi to carry out orders whatever the human cost on the victims / customers / clients of the corporation. The Catholic vows of poverty, chastity and obedience have the effect of disabling the inductees, leaving them without personal property, the ability to start a family or control over their own lives, worse in many respect than the army.

Thursday 20 March 2014

How to promote Natural theology without martyrdom, in fact without making too much effort. The idea is to find a potential and remove the inhibitions so the potential becomes kinetic. The potential I seek to exploit is the human desire for love, mating, companionship, support etc etc, in fact all those things that can be provided by loving parents like the Christian God, but real rather than imaginary. From the point of view of writing a best seller it has to be personal rather than the rather abstract and technical approach I have been taking so far. The technical stuff is necessary to me, however, since I do not want to be preaching as false doctrine as I believe the Christians are, or at least the Christian fellowship is good but the theological foundations on which it is built are rather dodgy.

The problem for me ever since I took up this project in earnest with the Theory of Peace is to get some traction, some interest from somewhere so I have someone to talk about it all with. I can safely say that I have had

[page 95]

no useful (to me) conversation with anybody about theology since I left the order of preachers, and the situation seems to look very bleak still. I am an outlier, far from the mainstream and seem doomed to remain that way forever, Nevertheless I have hope, and have arranged my life so that I can go on like this for a long time yet.

For me what makes the world go round is humour, that is the exploitation of the aura of meaning that surrounds every event (fixed point, sentence, etc) that we utter, the bright side, the dark side, the sticky filaments of additional meaning that bind everything to everything else, bringing laughter into conversation.

Back to the solstice party and the invincible sun, the real source of human existence, spirituality, joy growth and so on [with the fixed points of the Universe as the operating system running this development]. The technical side of solar energy is now well under control and is slowly wearing down the political and economic hurdles that stand in its way, some erected by the purveyors of old solar energy trapped in coal, oil, gas, shale etc. Now we have to emphasize the Sun as both the source of our spiritual needs and the fulfillment of those needs.

Solar Spirit, a revision of Natural Theology On Entropy [and information].

There have probably always been atheists, intending to annihilate the old religion while creating the new.

Here I am in the world wondering what to to do, how to survive in my old age, how to gather sufficient resources to live in comfort and leave something to my children. How to make the world a better place, more stable, et cetera, very normal concerns for weak and powerful people alike.

[page 96]

The Divine Sun: a history of humanity from hydrogen to heaven and beyond. Sun God, Heliotheos, The invincible sun, Sol Invictus

Friday 21 March 2014

Francis: The sexual and gender deviance of the Church is a clear consequence of its deviance from reality which follows from he fact that it is based on fairy stories dreamt up long before humanity has much clear scientific knowledge about ourselves and our world. What the Church did have, inherited from thousands of years of political experience of monarchy, was a clear understanding of how to rule a population [for its own benefit] by deceit, theft and violence.

Saturday 22 March 2014

Noether's work is based on continuous transformations represented by Lie groups. Symmetry also applies to discrete transformations, as we can see by rotating a triangle or a snowflake. We undersand symmetries by using the theory of probability. We may consider all the 'points' in a continuous symmetry as equiprobable, and for some discrete symmetries this is also true as we see in a fair coin or an unloaded die [ignoring the identifying marks on the faces]. Communication theory also introduces the statistics of a communication source whose discrete letters are not equiprobable, but each letter of the alphabet a_i has probability p_i such that ∑_i p_i = 1. Shannon then defines a source entropy H = -∑_i p_i log p_i, which is maximized when the p_i are all equal. Claude E Shannon: The Mathematical Theory of Communication

It is great to be in the thrall of a powerful illusion (delusion, vision) led on by the vision of some sort of significant success. I

[page 97]

am getting a feeling for taking the Church on after so much time spent thinking and talking and writing about it. This seems to me to be the result of an idea creating entropy (and so structure) and so gaining energy and momentum, at first in the neural network that underlies my mind and slowly working its way down from the narrow band but highly abstract and meaningful intellect to the broadband and more concrete emotional level. So each new idea is in effect a singularity initiating a little big bang in my mind We can study this to learn about the big big bang and vice versa, since they are both joined but the symmetry with respect to complexity that networks have.

The power of a network is that it can implement permutation by selecting the contents of distant nodes in various orders, that is stringing processes together like Feynman's sequentialStern-Gerlach apparatuses (III=5). We can see Einstein's reference molluscs at work in a wrestling match where the players move around one another in order to get a grip with sufficient variety to immobilize their opponent. Feynman

The Catholic Church thinks that to love people is to own them.

The quantum mechanics of gravitation is the model of a one state system, ie the transmission of meaningless messages like a power network. Once we get into multi-state systems with unequal frequencies of the eigenvalues we have a system like a communication source capable of transmitting information.

At the heart of gravitation is the covariant differential which is a network differential coupling two locations ie two inertial frames.

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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!)

Christie, Agatha, An Autobiography, William Morrow Paperbacks; Reprint edition 2012 'Back in print in an all-new edition, is the engaging and illuminating chronicle of the life of the “Queen of Mystery.” Fans of Hercule Poirot and Miss Marple and readers of John Curran’s fascinating biographies Agatha Christie’s Secret Notebooks and Murder in the Making will be spellbound by the compelling, authoritative account of one of the world’s most influential and fascinating novelists, told in her own words and inimitable style. The New York Times Book Review calls Christie’s autobiography a “joyful adventure,” saying, “she brings the sense of wonder...to her extraordinary career.”'  Amazon   back

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  Amazon   back

Feynman, Richard, QED: The Strange Story of Light and Matter, Princeton UP 1988 Jacket: 'Quantum electrodynamics - or QED for short - is the 'strange theory' that explains how light and electrons interact. Thanks to Richard Feynmann and his colleagues, it is also one of the rare parts of physics that is known for sure, a theory that has stood the test of time. ... In this beautifully lucid set of lectures he provides a definitive introduction to QED.'  Amazon   back

Feynman, Richard, Feynman Lectures on Gravitation, Westview Press 2002 Amazon Editorial Reviews Book Description 'The Feynman Lectures on Gravitation are based on notes prepared during a course on gravitational physics that Richard Feynman taught at Caltech during the 1962-63 academic year. For several years prior to these lectures, Feynman thought long and hard about the fundamental problems in gravitational physics, yet he published very little. These lectures represent a useful record of his viewpoints and some of his insights into gravity and its application to cosmology, superstars, wormholes, and gravitational waves at that particular time. The lectures also contain a number of fascinating digressions and asides on the foundations of physics and other issues. Characteristically, Feynman took an untraditional non-geometric approach to gravitation and general relativity based on the underlying quantum aspects of gravity. Hence, these lectures contain a unique pedagogical account of the development of Einstein's general theory of relativity as the inevitable result of the demand for a self-consistent theory of a massless spin-2 field (the graviton) coupled to the energy-momentum tensor of matter. This approach also demonstrates the intimate and fundamental connection between gauge invariance and the principle of equivalence.'  Amazon   back

Gaarder, Jostein, and Paulette Moller (Translator), Sophie's World: A Novel About the History of Philosophy, Boulevard 1996 Amazon editorial review: 'Wanting to understand the most fundamental questions of the universe isn't the province of ivory-tower intellectuals alone, as this book's enormous popularity has demonstrated. A young girl, Sophie, becomes embroiled in a discussion of philosophy with a faceless correspondent. At the same time, she must unravel a mystery involving another young girl, Hilde, by using everything she's learning. The truth is far more complicated than she could ever have imagined.' An excellent essay on the relationship between literature and reality.   Amazon   back

Jaynes, Julian, The Origin of Consciousness in the Breakdown of the Bicameral Mind, Mariner Books 2000 Jacket: 'At the heart of this book is the revolutionary idea that human consciousness did not begin far back in animal evolution but is a learned process brought into being out of an earlier hallucinatory mentality by cataclysm and catastrophe only 3000 years ago and still developing.'  Amazon   back

Kauffman, Stuart, At Home in the Universe: The Search for Laws of Complexity, Oxford University Press 1995 Preface: 'As I will argue in this book, natural selection is important, but it has not laboured alone to craft the fine architectures of the biosphere . . . The order of the biological world, I have come to believe . . . arises naturally and spontaneously because of the principles of self organisation - laws of complexity that we are just beginning to uncover and understand.'   Amazon   back

Misner, Charles W, and Kip S Thorne, John Archibald Wheeler, Gravitation, Freeman 1973 Jacket: 'Einstein's description of gravitation as curvature of spacetime led directly to that greatest of all predictions of his theory, that the universe itself is dynamic. Physics still has far to go to come to terms with this amazing fact and what it means for man and his relation to the universe. John Archibald Wheeler. . . . this is a book on Einstein's theory of gravity. . . . '  Amazon   back

Nakahara, Mikio, Geometry, Topology and Physics, Adam Hilger 1990 Jacket: 'Differential geometry and topology have become essential tools for many theoretical physicists. [this book] introduces the ideas of differential geometry and topology to postgraduate students and researchers of theoretical physics. ... Throughout the book there are explicit calculations and diagrams to clarify the abstract ideas involved. A large number of problems and exercises are included to help develop the reader's understanding of the subject.'  Amazon   back

Neuenschwander, Dwight E, Emmy Noether's Wonderful Theorem, Johns Hopkins University Press 2011 Jacket: A beautiful piece of mathematics, Noether's therem touches on every aspect of physics. Emmy Noether proved her theorem in 1915 and published it in 1918. This profound concept demonstrates the connection between conservation laws and symmetries. For instance, the theorem shows that a system invariant under translations of time, space or rotation will obey the laws of conservation of energy, linear momentum or angular momentum respectively. This exciting result offers a rich unifying principle for all of physics.'  Amazon   back

Peacock, John A, Cosmological Physics, Cambridge University Press 1999 Nature Book Review: 'The intermingling of observational detail and fundamental theory has made cosmology an exceptionally rich, exciting and controversial science. Students in the field — whether observers or particle theorists — are expected to be acquainted with matters ranging from the Supernova Ia distance scale, Big Bang nucleosynthesis theory, scale-free quantum fluctuations during inflation, the galaxy two-point correlation function, particle theory candidates for the dark matter, and the star formation history of the Universe. Several general science books, conference proceedings and specialized monographs have addressed these issues. Peacock's Cosmological Physics ambitiously fills the void for introducing students with a strong undergraduate background in physics to the entire world of current physical cosmology. The majestic sweep of his discussion of this vast terrain is awesome, and is bound to capture the imagination of most students.' Ray Carlberg, Nature 399:322  Amazon   back

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. ...'  Amazon   back

Weyl, Hermann, Space Time Matter (translated by Henry L Brose), Dover 1985 Amazon customer review: ' The birth of gauge theory by its author: This book bewitched several generations of physicists and students. Hermann Weyl was one of the very great mathematicians of this century. He was also a great physicist and an artist with ideas and words. In this book you will find, at a deep level, the philosophy, mathematics and physics of space-time. It appeared soon after Einstein's famous paper on General Relativity, and is, in fact, a magnificent exposition of it, or, rather, of a tentative generalization of it. The mathematical part is of the highest class, striving to put geometry to the forefront. Actually, the book introduced a far-reaching generalization of the theory of connections, with respect to the Levi-Civita theory. It was not a generalization for itself, but motivated by the dream (Einstein's) of including gravitation and electromagnetism in the same (geometrical) theory. The result was gauge theory, which, slightly modified and applied to quantum mechanics resulted in the theory which dominates present particle physics. Weyl's unified theory was proved wrong by Einstein, and his criticism alone, accepted by Weyl and included in the book, would justify the reading. Though wrong, Weyl's theory is so beautiful that Paul Dirac stated that nature could not afford neglecting such perfection, and that the theory was probably only misplaced. Prophetic words! The philosophic parts are, alas, too much for our present cultural level, but you can ignore them. The mathematical and physical parts are perfectly accessible and, of course, of the highest class. The pity is that the number of misprints is immense, particularly in the formulas, so that the reading is made much more difficult than it should. Also, the English edition is not the latest one. If you read German, choose the original, also available here.' Henrique Fleming  Amazon   back

Links

Aquinas 20, Summa I, 3, 7: Whether God is altogether simple? , 'I answer that, The absolute simplicity of God may be shown in many ways. First, from the previous articles of this question. For there is neither composition of quantitative parts in God, since He is not a body; nor composition of matter and form; nor does His nature differ from His "suppositum"; nor His essence from His existence; neither is there in Him composition of genus and difference, nor of subject and accident. Therefore, it is clear that God is nowise composite, but is altogether simple. . . . ' back

Claude E Shannon, A Mathematical Theory of Communication, 'The fundamental problem of communication is that of reproducing at one point either exactly or approximately a message selected at another point. Frequently the messages have meaning; that is they refer to or are correlated according to some system with certain physical or conceptual entities. These semantic aspects of communication are irrelevant to the engineering problem. The significant aspect is that the actual message is one selected from a set of possible messages.' back

Gospel of John 3:16, God so lovedthe world that he gave his one and only Son . . . , back

Kim Jong-un - Wikipedia, Kim Jong-un - Wikipedia, the free encyclopedia, 'Kim Jong-un . . . born 8 January 1983; . . is the supreme leader of the Democratic People's Republic of Korea, commonly known as North Korea. He is the son of Kim Jong-il (1941–2011) and the grandson of Kim Il-sung (1912–1994). . . . He was officially declared the supreme leader following the state funeral for his father on 28 December 2011.[6] He is the third and youngest son of Kim Jong-il and his consort Ko Young-hee.' back

The Book of Genesis 3:5, . . . your eyes will be opened . . . , '…4The serpent said to the woman, "You surely will not die! 5"For God knows that in the day you eat from it your eyes will be opened, and you will be like God, knowing good and evil." 6When the woman saw that the tree was good for food, and that it was a delight to the eyes, and that the tree was desirable to make one wise, she took from its fruit and ate; and she gave also to her husband with her, and he ate.…' back