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vol VII: Notes

2016

Notes

Sunday 26 June 2016 - Saturday 2 July 2016

[Notebook: DB 80: Cosmic plumbing]

[page 112]

Sunday 26 June 2016

The complexity of quantum fied theory may be a consequence of the limitd variety of the continuous mathematics used to describe the world.

begin computer_network again.

Creation: the passage from continuous (nothing) to discrete (something) from real [complex] to integral. Annihilation - from integral to continuous.

[page 113]

The mystery of Ramanujan's mind: page 280 sqq. Network. Kanigel: The Man Who Knew Infinity

page 281: Mark Kac: 'R was a "magician" rather than an "ordinary genius".'

'T J Rojagopolan . . . would tell of R's insistence that after seeing in dreams the drops of blood, that according to tradition, heralded the presence of the god Narasimka, the male consort of the goddess Namagiri, "scrolls containing the most complicated mathematics used to unfold before his eyes".'

page 283: '. . . taking their cue from Hardy, most Western observers, and some Indians, have wholly detached R's mystical streak from his mysterious ability to form new mathematical linkages. Hailing the one, they have dismissed the other, and written off his credulousness—his weakness for astrology, his arrant superstition, his devotion to Namagiri—as an unfortunate eccentricity peripheral to his mathematical inventiveness which has somehow to be stomached for the sake of it.

All power to the imaginative network that created us.

Monday 27 June 2016

King: Churchill: 'The trouble with committing economic suicide is that you live to regret it.' Stephen King

Tuesday 28 June 2016

The ideal way to be listend to is to tell a perfect story, in the minds

[page 113]

of one's listeners, who are relatively few. Only a few people per month spend more than an hour on the site, and a few download the whole thing.

Not feeling perfect. A few twinges of pain. Have hardly worked [for a month].

Gaussian coordinates: general relativity sees only events and we have to impose a metric on the Gaussian coordinates to arrive at a fixed point the intersection of covariant and contravariant matrices, ds2 = gμν dxμdxν.

The events have no metric - they are just there, but they are connected by the underlying dynamics [causality], which we seek to understand. At root, everything depends upon timing, that is relative phase.

A production line works most effectively when all the workers and machines on the line work at the same rate so there is no buildup of unattended work in progress languishing in a warehouse. Computation and manufacturing are both algorithmic activities that can be managed by automation.

We may not be able to get the story perfect but hopefully we have created an attractive scenario: a scientific theology. It is time, theology is the last frontier which is still running on ancient myth rather than contemporary evidence [the most importance of which are documents determining the extent of human rights].

What are we saying: a network can do anything quantum mechanics can do. Interrupts create, they form [initiate] the wave function which runs deterministically between interrupts [like any computer which may interrupt itself].

Because orthogonal basis sets can be chosen at random (an infinite dimensional space of rotations) this degree of freedom can make a real message seem random, because its entropy is at a maximum [every orientation of the basis is a different code / language, which can be deterministically transformed into another basis. A message is a string of basis states, ie eigenfunctions / values, ie a string of symbols.].

What we seek is a bridge between the Hilbert space representation of quantum mechanics and the computer network. This should be easy because the network can do anything quantum mechanics can do and much more because the network implements Cantor's transfinite numbers.

Each ordered set is a structure, a form in the sense that it has sufficient entropy to represen any structure of some cardinality, that is the set of all permutations [of turing machines] generates the maximum possible entropy. This is a representation of . . . ?

A quantum operator represents a network. Superposition does not make sense.

Wednesday 29 June 2016
Can the transfinite network yield a thery of lovemaking = bonding. From quantum mechanics to totally involved sex between fully conscious people. Input nerve endings; outputs muscular effor and conscious awareness of pleasure / pain. Everything is an investment of capital. A government must invest in its people, not in financial abstractions of the world.

The mathematical theory of love.

My life is full so I must decide what to do work or play etc etc, although I try to cut these down to bare necessities so I can get this job done, which does not yet count as work because fifty years of capital investment in intellectual property has yet to yield an income. Sad, but to be expected because is is an impossibly big job,

[page 116]

turning around monarchical and patriarchical institutions many thousands of years old. So I console myself for not finding anyone who will listen.

Thomas Institut te Utrecht Thomas Instituut te Utrecht (Tilberg University)

Real death [we cannot endorse literal belief in eternal life, which in the religious world probably sells better than sex].

First step is from 'observable' to music, ie superposition of samples with both intensity and phase, phase encoded in order of samples.

Insofar as the rules of inference are deterministic, they can be executed by a turing machine.

Jane Mayer Dark Money Mayer

The existence of Plancks constant suggests that there is no real continuum in nature. Continua are unreal, the outer boundaries of reality, a self contradictory entity in terms of point set theory [nevertheless I am also inclined to identify symmetry and algorithm: perhaps the symmetry resides inside the algorithm, the indifference of the algorithm to the data it is fed].

Thursday 30 June 2016

Can I ever achieve what I set out to achieve? First step is to become a believer myself which means up putting up a consistent story [which I can believe myself].

[page 117]

What needs adding are the properties of the transfinite network and its limiting power. No shortage of memory no shortage of processing power, but an overwhelming preponderance of incomputable functions kept somewhat in check by the power of computability which tells us which functions can 'breed' and fill the space of mathematical resources [physical representations of information].

Computability digitizes [how dense are computable functions in the space of all functions? they are 'almost nowhere'], digitization makes computation possible. An essay on the continuum and symmetry vs the discretum and broken symmetry: a fixed point is a broken symmetry.

Observable (operator) - unitary / hermitean. Observable - Wikipedia

One step forward may be to go for 'long reads' and abandon the cryptic search for brevity, giving myself time to say everything in detail. So we make scientific_theology book length vs computer-network a platonic version.

Kate Moss: the only toilets she can use have no doors: 'How am I supposed to get in then?'

The overlap integral gives us the probability that observing [with] φ we see ψ, the probability being the inner product of the two states. This is all a matter of phase = timing. Things resonate when φ = ψ, superposing both frequency and phase (boson), frequency and −phase (fermion). It is a measure of how much states get along, somewhere between 0 (orthogonal) and 1 (parallel) [and −1 opposite].

Order of measurement is significant. AB − BA ≠ 0

[page 118]

A narrative: an interesting and pleasing sequence of symbols with intelligence, variety, information and beauty. Cannot do it very well but will try — how to explain the nature of the digital universe and the need for it. But I have no results, am stuck in heuristic mode and would like to get practical.

Mayer page 54: '[Charles Koch:] "Ideas do not spread by themselves; they spread only through people. Which means we need a movement," he wrote . . .. "Our movement must destroy the prevalent statist paradigm".'

page 58: 'In order to alter the direction of America [the Kochs} realized they would have to "influence the areas where policy ideas percolate from: academic and think tanks".'

page 61: 'The League to Save Carthage'

page 64; US federal income tax 1913.

page 69: [Wealthy citizens] 'In order to shelter themselves from taxes . . . were required to invent a public philanthropic role.'

page 73: "Attack on American free enterprise system" Lewis Powell.

page 75: 'Income in America in the mid 1970s was as equally distributed as at any time in the country's history.'

Friday 1 July 2016
'Moment' vs 'movement' (two moments, ie a differential). We are accustomed in the macroscopic world to see motion as continuous, but it is an illusion, as the kinema testifies. Continuity is relative, depending on he relationship between the time constant of the sensor (ie human vision) ad the sensed (a sequence of still images). Calculus works in the macroscopic world, but is it relevant when the minimum movement is a quantum of action? Instead of dx/dt being defined as the limit of δx/δt, we define it as one quantum of action and assume that any quantized action may be represented by a halting turing machine. From this starting point, we look for a new interpretation of relativity and quantum mechanics based (as I have been saying [to myself] for about 50 years) on the transfinite neural (computer) network which like our brains, is based on the addition of signals and when a threshold is passed, emission of a new signal from the target neuron. This is in essence (I guess) how quantum mechanics also works. And general relativity describes a system with no selective threshold, each input is passed straight through.

Woke conscious of the usual sea of troubles (situations to be dealt with) and having written the paragraph above, am at peace given a sequence of insights that render all the other issues infinitesimal. All can be solved by work, and I need the money after a burst of grandparenting and mum's funeral [far away].

Letter to Waleed Ali - PhD in political theology.

[page 120]

Rule of law controls the rule of violence, structure controls energy [because it creates orthogonality = freedom ?]. Law is fixed points, power vs energy, but it may have difficulty moving fixed points, What determines the orbital energies of electrons? The establishment of standing waves determined by the potential existing between protons and electrons, their electrically motivated desire to communicate explained (?) by QED.

We observe the fixed points of an operator. When the engine is running we can see the block but not the pistons, which are moving too fast, even if they were visible.

Mayer page 101: Alice Longworth on her father, Theodore Roosevelt: 'He wanted to be the bride at every wedding and the corpse at every funeral.'

page 108; Piersen: "Law and Economics is neutral, but it has a philosophical thrust in the direction of free markets and limited government. That is like many disciplines it seems neutral but it isn't in fact." But if we observe the world we see that it is cooperative, socialist and progressive, taking itself from the initial singularity through hydrogen to the solar system and beyond. The basic idea seems to be that higher (more complex) layers must curate lower layers to guarantee their own existence.

Saturday 2 July 2016

Koch and co: Many people have a price and can be bought, particularly in an environment where there are minimal ethical

[page 121]

standards. The task is to bring natural theology and the notion of the divine universe to bear on the ethical foundations of maximizing real health and welfare and leaving nobody behind (dead or alive). The hierarchical network model can do this through the notion that higher layers must look after lower layers to preserve their own lives, as in we must maintain global ecosystem services to guarantee our own survival. This requires the creation of a global ethical milieu which focusses the spotlight on those who are subverting the system for their own profit.

Libertarianism defends the right to damage the system for private profit by attacking environmental and public health regulation.

Mayer page 153: ' "You take corporate money and give it to a neutral sounding think tank," which "hires people with pedigrees and academic degrees who put out credible sounding studies. But they all coincide perfectly with the economic interests of their funders.".'

At present contradiction is built into both the roots of theology and the roots of physics: the notion that a structureless system like a completely simple god or a continuous manifold can carry information without markers (particles). Because both god and wave functions are not observable, imagination can run riot (in theology), although it is constrained in quantum mechanics by the requirements of observation, and the dimensional structure of Hilbert space gives us fixed points (basis vectors) from which to describe the world. The mathematical root of the problem may be in the digitization of the continuum by point set theory.

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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!)

Arsan, Emanuelle, and Lowell Blair (translator), , Grove Press 1994 'This now classic book of erotica is, alongside Story of O, the most famous French underground novel of the late twentieth century and a work of seductive literary merit. Written by the wife of a diplomat in the French Foreign Service, it takes the form of an autobiographical novel, which it may or may not be.' 
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Berndt, Ronald M, Love Songs of Arnhem Land, 1978 Jacket: Love Songs of Arnhem Land is a contribution towards an increasing interest within and outside Australia in understanding Australian Aboriginal Culture. . . . The song-poetry itself is hauntingly beautiful. Its traditional imagery creates a special and unique atmosphere. Men and women are agents in a divine plan in which they play a crucial role, working in harmony with the forces of nature symbolized by the mythic beings. . . . ' 
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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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Higman, Bryan, Applied Group-Theoretic and Matrix Methods, Dover Publications Jacket: '... This work, a comprehensive, thoroughly reliable exposition of the basic ideas of group theory (realized through matrices) and its applications to various areas of physics and chemistry, systematically covers this important ground for the first time. ... Although [it] deals basiclaly with advanced level material, the unusually clear exposition provides much valuable insight and fruitful suggestion for student and specialist alike. Chemists, physicists, mathematicians, and others who would like an idea of the applications and methods of group and matrix theory in the physical sciences will profit greatly from this book. ...'back
Kanigel, Robert, The Man Who Knew Infinity: A life of the genius Ramanujan, Washington Square Press 2016 'In 1913, a young unschooled Indian clerk wrote a letter to G H Hardy, begging the preeminent English mathematician's opinion on several ideas he had about numbers. Realizing the letter was the work of a genius, Hardy arranged for Srinivasa Ramanujan to come to England. Thus began one of the most improbable and productive collaborations ever chronicled. With a passion for rich and evocative detail, Robert Kanigel takes us from the temples and slums of Madras to the courts and chapels of Cambridge University, where the devout Hindu Ramanujan, "the Prince of Intuition," tested his brilliant theories alongside the sophisticated and eccentric Hardy, "the Apostle of Proof." In time, Ramanujan's creative intensity took its toll: he died at the age of thirty-two and left behind a magical and inspired legacy that is still being plumbed for its secrets today. 
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Mayer, Jane, Dark Noney, Doubleday 2016 ' . . . Jane myer shows in this powerful, meticulously reported history, a network of exceedngly wealthy people with extreme libertarian views bankrolled a systematic, step-by-step plan to fundamentally alter the American political system.' 
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Miles, Jack, God : A Biography, Vintage Books 1996 Jacket: 'Jack Miles's remarkable work examines the hero of the Old Testament . . . from his first appearance as Creator to his last as Ancient of Days. . . . We see God torn by conflicting urges. To his own sorrow, he is by turns destructive and creative, vain and modest, subtle and naive, ruthless and tender, lawful and lawless, powerful yet powerless, omniscient and blind.' 
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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. . . . ' 
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Popper, Karl Raimund, The Open Society and its Enemies (volume 2) : The High Tide of Prophecy, Hegel, Marx and the Aftermath , Routledge 1966 Jacket: '... "a work of first-class importance which ought to be widely read for its masterly criticism of the enemies of democracy, ancient and modern. His attack on Plato, while unorthodox, is in my opinion thoroughly justified. His analysis of Hegel is deadly. Marx is dissected with equal acumen, and given his due share of responsibility for modern misfortunes. The book is a vigorous and profound defence of democracy, timely, very interesting andf very well written".' Bertrand Russell 
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Riefenstahl, Leni, People of Kau, Harpercollins 1976 'This is a photographic monograph on the life of the people of Kau. Leni Riefenstahl spent 16 weeks with the Nuba of Kau in 1975. These people, known as the " South East Nuba" , live only 100 miles away from the Mesakin Nuba. Yet, they speak another language, follow different customs, and are very different in character and temperament. The knife-fights, dances of love and elaborately painted faces and bodies are photographed in the book.' 
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Tanenbaum, Andrew S, Computer Networks, Prentice Hall International 1996 Preface: 'The key to designing a computer network was first enunciated by Julius Caesar: Divide and Conquer. The idea is to design a network as a sequence of layers, or abstract machines, each one based upon the previous one. . . . This book uses a model in which networks are divided into seven layers. The structure of the book follows the structure of the model to a considerable extent.'  
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Wilson, Colin, The Outsider, Tarcher 1987 'The seminal work on alienation, creativity, and the modern mind-set. "An exhaustive, luminously intelligent study...a real contribution to our understanding of our deepest predicament."—Philip Toynbee.' 
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Papers
Landauer, Rolf, "Information is a physical entity", Physica A, 263, 1, 1 February 1999, page 63-7. 'This paper, associated with a broader conference talk on the fundamental physical limits of information handling, emphasizes the aspects still least appreciated. Information is not an abstract entity but exists only through a physical representation, thus tying it to all the restrictions and possibilities of our real physical universe. The mathematician's vision of an unlimited sequence of totally reliable operations is unlikely to be implementable in this real universe. Speculative remarks about the possible impact of that, on the ultimate nature of the laws of physics are included.'. back
Links
Brendan Byrne, 'War on business' rhetoric echoes '07 union bashing, 'The contentious Dyson Royal Commission, while turning up significant examples of corruption within the union movement, also singularly failed to apply the lesson of history provided by the Costigan Royal Commission: that corruption within the union movement does not operate in a vacuum, and occurs both in parallel with, and as a reflection of, corruption within the business community. Unlike the Costigan Commission, however, the Dyson Commission didn't turned up any 'bottom of the harbour' scandals with which to vex the business world — precisely because its terms of reference didn't allow it to go there.' back
Emmylou Harris, Dolly Parton, Linda Ronstadt, Neil Young, Across the Border, 'A beautiful Bruce Springsteen song, done wonderfully by Linda, Emmylou, and Neil. Neil's harmonica work is killer. The guitar work is very nice, too. I think it's Bernie Leadon, formerly of the Eagles and other groups, but I'm not positive. From the "Western Wall: Tucson Sessions" album (vastly underrated, by the way.) back
Henry Ford - Wikipedia, Henry Ford - Wikipedia, the free encyclopedia, 'Henry Ford (July 30, 1863 – April 7, 1947) was an American industrialist, the founder of the Ford Motor Company, and sponsor of the development of the assembly line technique of mass production. His introduction of the Model T automobile revolutionized transportation and American industry. As owner of the Ford Motor Company, he became one of the richest and best-known people in the world. He is credited with "Fordism": mass production of inexpensive goods coupled with high wages for workers. Ford had a global vision, with consumerism as the key to peace.' back
Observable - Wikipedia, Observable - Wikipedia, the free encyclopedia, 'In physics, particularly in quantum physics, a system observable is a measurable operator, or gauge, where the property of the system state can be determined by some sequence of physical operations. For example, these operations might involve submitting the system to various electromagnetic fields and eventually reading a value. In systems governed by classical mechanics, any experimentally observable value can be shown to be given by a real-valued function on the set of all possible system states.' back
Peter Reith, Why is Abbott so spooked by the WorkChoices bogeyman, 'It was good that Abbott publicly called for the business community to make the case for reform. I hope he means it. Since that call, the voices from business have been growing louder. Prime Minister Julia Gillard's retrograde changes to workplace relations law are slowly burning our economy and in time the voices of embattled business will be heard across the country.' back
Rolf Landauer, Information is a Physical Entity, 'Abstract: This paper, associated with a broader conference talk on the fundamental physical limits of information handling, emphasizes the aspects still least appreciated. Information is not an abstract entity but exists only through a physical representation, thus tying it to all the restrictions and possibilities of our real physical universe. The mathematician's vision of an unlimited sequence of totally reliable operations is unlikely to be implementable in this real universe. Speculative remarks about the possible impact of that, on the ultimate nature of the laws of physics are included.' back
Self-adjoint operator, Self-adjoint operator, 'In mathematics, a self-adjoint operator on a complex vector space V with inner product ⟨ ⋅ , ⋅ ⟩ {\displaystyle \langle \cdot ,\cdot \rangle } \langle \cdot ,\cdot \rangle is a linear map A (from V to itself) that is its own adjoint: ⟨ A v , w ⟩ = ⟨ v , A w ⟩ {\displaystyle \langle Av,w\rangle =\langle v,Aw\rangle } \langle Av,w\rangle=\langle v,Aw\rangle. If V is finite-dimensional with a given orthonormal basis, this is equivalent to the condition that the matrix of A is Hermitian, i.e., equal to its conjugate transpose A*. By the finite-dimensional spectral theorem, V has an orthonormal basis such that the matrix of A relative to this basis is a diagonal matrix with entries in the real numbers. In this article, we consider generalizations of this concept to operators on Hilbert spaces of arbitrary dimension.' back
Stephen King, For the English, Brexit will mean economic pain, 'So expect a rocky economic road ahead for England. To paraphrase Winston Churchill, the trouble with committing economic suicide is that you live to regret it.' back
Thomas Instituut te Utrecht (Tilberg University), About the Institute, 'The Thomas Instituut te Utrecht (Tilburg University) is a co-operative group of theologians, philosophers and historians from several universities and institutes in the Netherlands, specialised in the study of the work of Saint Thomas Aquinas (1225-1274). The institute was founded more than twenty years ago (see the History of the institute) and has been an official research institute of the former Catholic Theological University at Utrecht since 1996. In 2000 it became an interuniversity institute in combination with the Tilburg Faculty of Theology. Since 2007 the Thomas Instituut te Utrecht is located at the Tilburg School of Theology, which is a faculty of Tilburg University.' back
USSG - Indiana University, ISO/OSI Network Model, 'The standard model for networking protocols and distributed applications is the International Standard Organization's Open System Interconnect (ISO/OSI) model. It defines seven network layers: Layer 1 - Physical ... Layer 2 - Data Link ... Layer 3 - Network ...Layer 4 - Transport ... :ayer 5 - Session ... Layer 6 - Presentation ... Layer 7 - Application back

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