vol VII: Notes
2014
Notes
[Notebook: DB 78: Catholicism 2.0]
[Sunday 9 November 2014 - Saturday 15 November 2014]
[page 50]
Sunday 9 November 2014
Why am I so hooked on digitization? Because it gives us many more degrees of freedom as Cantor showed when he used set theory to digitize the continuum [and came up with transfinite numbers]. The progress of mathematics is by digitization, that is finding algorithms or proofs that couple two propositions. One of the most interesting formalisms in physics is the Dirac equation and its mathematical context. The equation is a representation of an algorithm that relates the variables space, time, energy, momentum and wave function, We have conceived this equation as defining a particle, the diron, which serves as the unit of space, in some way embodying an inertial frame. We might then see a coupling between quantum mechanics and gravitation by studying the fundamental interaction if dirons (through their component paulions?) Here the 'charge' is not electric, but simply that sharing of energy/action. The coupling constant for this sharing is the gravitational constant. Does this work — we can just assume that the events in spacetime are defined by a Dirac equation whose formal variables can be re-interpreted. Dirac equation - Wikipedia
Wiki Pauli matrix: 'Hermitian matrices are observables so the Pauli matrices span the space of observables of the 2-dimensional complex Hilbert space. Pauli matrices - Wikipedia
'. . . the Pauli matrices, (multiplied by real coefficients) span the full vector space of 2×2 Hermitian matrices.'
'The algebra generated by the three matrices σ1, σ2, σ3 is isomorphic to the Clifford algebra of R3, called the algebra of physical space.
[page 51]
It seems natural to think that there is a close link between the structure of space and the exclusion principle.
Let us assume that the Universe can express itself as succinctly as we do. So we write the Dirac equation (iℏ γμ∂μ - mc)ψ = 0.
What do we expect to see if this equation is embodied physically? Maybe just what we do see.
Gravitational interaction terms.
The big breakthrough as I see it is the replacement of analytical continuity with logical continuity and the casting of analytic continua as nothings the zero boundary of boundaries. Misner, Thorne a & Wheeler: Gravitation
Continuum - no data - perfectly random / symmetrical / flat.
Monday 10 November 2014
Og Mandino: The greatest salesman in the world sold us the biggest blunder we ever made. Mandino
I might want to take the Church on but the Church s indifferent to my pinpricks and will remain so until I begin to cause it a little pain (if ever).
Can we make a computer out of gamma matrices?
Tuesday 11 November 2014
Gravitation describes the structure of meaningless action, that is pure action unconstrained by fixed points.
[page 52]
We're in a case of fides quaerens intellectum here. The faith is that we can safely change the old faith in the invisible mysterious yet sometimes benevolent God into faith in the observed Universe. Gravitation describes the unobserved Universe, the featureless continuum that some may use to visualize an omnino simplex God.
CONTINUA ≡ SYMMETRIES ≡ BOUNDARIES ≡ ∅ (empty set) [Ie inconsistency]
So I believe that the Universe is divine. Then what? An important point is that the Universe so understood is al that there is.
Natural Religion; From mysticism to physics and back.
There is nothing outside the Universe to constrain it.
New Yorker: Put the religious debate in the US on a scientific footing. Religious fundamentalism is trashing the world.
Because the only property constraining God is consistency, and this same constraint is all that operates in mathematics, we guess that there must be some sort of isomorphism between God and mathematics. We bring this into focus by applying fixed point theory to God and guessing that the consistent set of fixed points in the divine dynamics can be mapped onto mathematics, ie an ismorphism, hence Wigner's observation. Like Aquinas, we can develop a theology based on logical principles per se nota. Posterior Analytics - Wikipedia
Physics: the embodiment of formalism.
Wednesday 12 November 2014
West Proteus 1979 p 64: 'It is possible to read the Crucifixion as an act of self immolation, deliberately courted by the victim.' West
We go through the simplicity question article by article, working in the light of fixed point theory. The proof and application of these theorems is couched as examples of logical continuity.
West page 312: ' . . . men had hearts' Russians, Americans, Chileans, Chinese, they all had hearts; but States, Nations, Juntas, they had none. They were ideals with hollow bellies filled with the charred bones of children. By some strange trick of memory, he had a picture of Rudolf Hess, an old broken madman, sitting in Spandau prison denied the most minimal mercy, while others thousand times more guilty, waxed fat in freedom, That was statecraft. That was politics. That was the power game pushed to its ultimate, obscene absurdity. (?)
Thursday 13 November 2014
Friday 14 November 2014
Saturday 15 November 2014
We can only influence things within our action cone. In much of physics this is the light cone, but in other circumstances the cone depends on the velocity of our influence, ie (in soccer) whether we can get to the attacking ball in time to stop it.
We come to the question of promotion vs development, and try to keep sticking to the notion that promotion will be low key until the idea gets a peer reviewed publication, a basic standard to work toward for propaganda, but for opinion one is entitled to express ones opinion as long as it is not judged to be an incitement to violence. So I can push politically to obtain funding to study the matter scientifically in properly equipped
[page 54]
institutions.
I am reliving some of my history in transcribing notes from 1999. At that point fixed point theory had not entered the mix, and I still believed that a real continuum could carry an infinite amount of information, a child of the theological idea that an completely simple God could know everything, past, present andfuture tota simul [all at once].
Conversion ; my 'intellectual' history, like the website a log of a journey from Roman Catholic to catholic, that is universal. Marks of the Church: One, Holy, Catholic and apostolic. We can go with the one and holy. We want to replace Catholic and apostolic with grounded in history, from the big bang on.
The world has created itself from hydrogen atoms and more fundamental particles than this. Continuous vs discrete, dynamic vs formal.
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Copyright:
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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!)
Adams, Marilyn McCord, Horrendous Evils and the Goodness of God, Melbourne University Press 1999 Jacket: 'Thinkers in all societies have struggled to make sense of horrendous evil. This provocative book takes a religious perspective. It tackles a fundamental dilemma in Christian thought -- how to recocile faith in God with the evils that afflict human beings.
Distinguished Americal philosopher Marilyn McCord Adams argues that analytic philosophy of religion is too narrowly focussed. The ground rules for debate have allowed philosophers to avert their gaze from the very worst evils and from their impact on human lives.
She proposes a radical shift away from the preoccupation with morals and towards more fruitful evaluative categories such as purity, defilement, honour, shame and aesthetics. The innovative approach of Horrendous Evils and the Goodness of God will challenge thinkers both religious and secular.'
Amazon
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Critchley, Simon, The Book of Dead Philosophers, Granta 2008 Amazon customer review: 'A wonderful concept for a book. It spends a page and half or so on the deaths of 170 different philosophers. For some, it nicely juxtaposes their beliefs with their practical applications. For others, it illustrates a hypocrisy. Mostly though, I think it does a good job bringing the lot of them back down to earth. The introductions (there are three) are themselves a decent discussion on death and dying. It's one of those books you wish was a Wikipedia page so you could follow all the strands it begins to tug at.' Ryan C Holiday
Amazon
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Critchley, Simon, The Book of Dead Philosophers, Granta Books978-1847080103 2008
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Deutsch, David, The Fabric of Reality: The Science of Parallel Universes - and its Implications, Allen Lane Penguin Press 1997 Jacket: 'Quantum physics, evolution, computation and knowledge - these four strands of scientific theory and philosophy have, until now, remained incomplete explanations of the way the universe works. ... Oxford scholar DD shows how they are so closely intertwined that we cannot properly understand any one of them without reference to the other three. ...'
Amazon
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Lane, Terry, God: The Interview, ABC Books 2004 Jacket: This is a book for those who feel that conventional religion has not answered their existential dilemmas. It is a deeply personal examination of certainty and doubt, the existnece of evil and inhuman aciton in the name of faith, written with Terry Lane's characteristic good humour and quizzical rationality. In the light of resurgent religious extremism, serious scandals within the established church and in-your-face consumerism, God: the interview is as provocative and searching now as it was when it was first published in 1993.'
Amazon
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| Lane, Terry, God: The Interview, ABC Books 2004 Jacket: This is a book for those who feel that conventional religion has not answered their existential dilemmas. It is a deeply personal examination of certainty and doubt, the existnece of evil and inhuman aciton in the name of faith, written with Terry Lane's characteristic good humour and quizzical rationality. In the light of resurgent religious extremism, serious scandals within the established church and in-your-face consumerism, God: the interview is as provocative and searching now as it was when it was first published in 1993.'back |
Mandino, Og, The Greatest Salesman in the World, Bantam 1983 'Amazon.com Review
The Greatest Salesman in the World is a tiny book, and it is a treasure. First published in 1968, Og Mandino's classic remains an invaluable guide to a philosophy of salesmanship. Mandino's clear, simple writing style supports his purpose: to make the principles of sales known to a wide audience. A parable set in the time just prior to Christianity, The Greatest Salesman in the World weaves mythology with spirituality into a much needed message of inspiration in this culture of self-promotion. Mandino believes that to be a good salesperson, you must believe in yourself and the work you are doing. It is a simple but profound spiritual philosophy about how to succeed in the world's marketplace, easily understood and easy to take to heart. --Jodie Buller'
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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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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.
Amazon
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West, Morris, Proteus, William Heinemann Ltd; New edition edition (October 14, 1991)
Language: English
ISBN-10: 043485896X
ISBN-13: 978-0434858965 1979, 1991 'John Spada publicly runs an enormous multi-national corporation, privately he heads Proteus, a clandestine resistance movement. His aim is to free prisoners of conscience wherever they may be. As the story unfolds, Spada himself becomes an outlaw, and holds the world hostage.'
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Papers
| Shannon, Claude E, "The mathematical theory of communication", Bell System Technical Journal, 27, , July and October, 1948, page 379-423, 623-656. 'A Note on the Edition
Claude Shannon's ``A mathematical theory of communication'' was first published in two parts in the July and October 1948 editions of the Bell System Technical Journal [1]. The paper has appeared in a number of republications since:
• The original 1948 version was reproduced in the collection Key Papers in the Development of Information Theory [2]. The paper also appears in Claude Elwood Shannon: Collected Papers [3]. The text of the latter is a reproduction from the Bell Telephone System Technical Publications, a series of monographs by engineers and scientists of the Bell System published in the BSTJ and elsewhere. This version has correct section numbering (the BSTJ version has two sections numbered 21), and as far as we can tell, this is the only difference from the BSTJ version.
• Prefaced by Warren Weaver's introduction, ``Recent contributions to the mathematical theory of communication,'' the paper was included in The Mathematical Theory of Communication, published by the University of Illinois Press in 1949 [4]. The text in this book differs from the original mainly in the following points:
• the title is changed to ``The mathematical theory of communication'' and some sections have new headings,
• Appendix 4 is rewritten,
• the references to unpublished material have been updated to refer to the published material.
The text we present here is based on the BSTJ version with a number of corrections.. back |
Links
| Algebra of physical space - Wikipedia, Algebra of physical space - Wikipedia, the free encyclopedia, 'In physics, the algebra of physical space (APS) is the use of the Clifford or geometric algebra Cℓ3 of the three-dimensional Euclidean space as a model for (3+1)-dimensional space-time, representing a point in space-time via a paravector (3-dimensional vector plus a 1-dimensional scalar).' back |
| Aquinas 45, Whether this is a good definition of eternity, "The simultaneously-whole and perfect possession of interminable life"., I answer that, As we attain to the knowledge of simple things by way of compound things, so must we reach to the knowledge of eternity by means of time, which is nothing but the numbering of movement by "before" and "after". For since succession occurs in every movement, and one part comes after another, the fact that we reckon before and after in movement, makes us apprehend time, which is nothing else but the measure of before and after in movement. Now in a thing bereft of movement, which is always the same, there is no before or after. As therefore the idea of time consists in the numbering of before and after in movement; so likewise in the apprehension of the uniformity of what is outside of movement, consists the idea of eternity.
Further, those things are said to be measured by time which have a beginning and an end in time, because in everything which is moved there is a beginning, and there is an end. But as whatever is wholly immutable can have no succession, so it has no beginning, and no end.
Thus eternity is known from two sources: first, because what is eternal is interminable--that is, has no beginning nor end (that is, no term either way); secondly, because eternity has no succession, being simultaneously whole. 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 |
| Dirac equation - Wikipedia, Dirac equation - Wikipedia, the free encyclopedia, 'In particle physics, the Dirac equation is a relativistic wave equation formulated by British physicist Paul Dirac in 1928. It describes fields corresponding to elementary spin-½ particles (such as the electron) as a vector of four complex numbers (a bispinor), in contrast to the Schrödinger equation which described a field of only one complex value' back |
| Dirac equation in the algebra of physical space - Wikipedia, Dirac equation in the algebra of physical space - Wikipedia, the free encyclopedia, 'The Dirac equation, as the relativistic equation that describes spin 1/2 particles in quantum mechanics can be written in terms of the Algebra of physical space (APS), which is a case of a Clifford algebra or geometric algebra that is based in the use of paravectors.' back |
| Four Marks of the Church - Wikipedia, Four Marks of the Church - Wikipedia, the free encyclopedia, 'The Four Marks of the Church is a term describing four specific adjectives — one, holy, catholic and apostolic — indicating four major distinctive marks or distinguishing characteristics of the Christian Church. The belief that the Church is characterized by these four particular "marks" was first expressed by the First Council of Constantinople in the year 381 in its revision of the Nicene Creed, in which it included the statement: "[We believe] in one, holy, catholic, and apostolic Church."' back |
| Library of Alexandria - Wikipedia, Library of Alexandria - Wikipedia, the free encyclopedia, 'The Royal Library of Alexandria or Ancient Library of Alexandria in Alexandria, Egypt, was once the largest library in the ancient world.
The Library of Alexandria, generally thought to have been founded at the beginning of the third century BC, was conceived and opened during the reign of Ptolemy I Soter, or that of his son Ptolemy II of Egypt. It has been reasonably established that the Library or parts of the collection were destroyed on a number of occasions, but to this day the details of the destruction (or destructions) remain a lively source of controversy based on inconclusive evidence.' back |
| Lou Grover, A fast quantum mechanical algorithm for database search, Lou K. Grover. A fast quantum mechanical algorithm for database search. in LANL e-print quant-ph/9605043, 1996.
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| Pauli matrices - Wikipedia, Pauli matrices - Wikipedia, the free encyclopedia, 'In mathematical physics and mathematics, the Pauli matrices are a set of three 2 × 2 complex matrices which are Hermitian and unitary.' back |
| Posterior Analytics - Wikipedia, Posterior Analytics - Wikipedia, the free encyclopedia, 'The contents of the Posterior Analytics may be summarised as follows:
All demonstration must be founded on principles already known. The principles on which it is founded must either themselves be demonstrable, or be so-called first principles, which cannot be demonstrated, nor need to be, being evident in themselves ("nota per se"). . . . ' back |
| Qur'an - Sacret Texts, The Holy Qur'an (Yusuf Ali tr.) Index, 'This is the main Qur'an version at sacred-texts.com. Because a completely accurate Unicode version of the Arabic Qur'an text is not yet available, the Arabic is presented as embedded graphics in the GIF format. To allow for viewing on slower systems, each Surah is broken down into traditional sections, which usually include about a dozen verses. Each verse is presented in Arabic along with a pronunciation guide, and The Yusuf Ali English text. , , , The Yusuf Ali English text is based on the 1938 book, The Holy Qur-an, Text, Translation and Commentary, (published in Lahore, Cairo and Riyadh). Some modifications have been made; in particular, where the term 'God' appears in the original book, 'Allah' has been substituted. This version is widely used because it is a clear, modern and eloquent translation by a well-respected Muslim scholar. The Surah titles used here are also those which were used in this book..' back |
| Qur'an - Wikipedia, Qur'an - Wikipedia, the free encyclopedia, 'The Qur’an was written down by Muhammad's companions while he was alive, although the prime method of transmission was oral. It was compiled in the time of Abu Bakr, the first caliph, and was standardized in the time of Uthman, the third caliph. The Qur’an in its actual form is generally considered by academic scholars to record the words spoken by Muhammad because the search for variants in Western academia has not yielded any differences of great significance and that historically controversy over the content of the Qur’an has never become a main point. [22][23] Therefore all Muslims, Sunni or Shia, use the same Qur’an.' back |
| Shor, Shor's Algorithm for Quantum Factorisation, back |
| Thomas Jefferson Encyclopedia, Private Banks (Quotation - Thomas Jefferson Encyclopedia, 'Status: This quotation is at least partly spurious; see comments below.' back |
| Wikipedia, Public Key Cryptography, 'Public-key cryptography is a form of modern cryptography which allows users to communicate securely without previously agreeing on a shared secret key. For most of the history of cryptography, a key had to be kept absolutely secret and would be agreed upon beforehand using a secure, but non-cryptographic, method; for example, a face-to-face meeting or a trusted courier. There are a number of significant practical difficulties in this approach to distributing keys. Public-key cryptography was invented to address these drawbacks — with public-key cryptography, users can communicate securely over an insecure channel without having to agree upon a key beforehand.'
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