vol VII: Notes
2014
Notes
[Notebook: DB 77 Discretion]
[Sunday 20 April 2014 - Saturday 26 April 2014]
Sunday 20 April 2014
Monday 21 April 2014
[page 123]
Tuesday 22 April 2014
Fixed point theory gives a way to explain the origins of particles in the Universe, leptons, quarks, photons, weak bosons, gluons, Higgs boson and graviton, which then combine and permute to give us all the rest. Why are there so many species of fundamental particles? Why are there so many of each species? What are the relationships of ordinary matter (5%), dark matter (27%) and dark energy (68%)?
Change chapter 2 to a discussion of the network intelligence of the Universe, action, entropy, energy. As in an atom, the energy associated with a quantum of actin depends upon the potential in which the quantum acts. This may help us to deal with the implication in the big bang theory that there is infinite energy density in the initial singularity, ie infinite frequency (countably infinite?)
Quantum : operator valued = network valued.
[page 124]
Wednesday April 23 2014
The point of unreasonable effectiveness is that insofar as the Universe is deterministic it is quantized or digital and insofar as it is digital all mathematical theorems that are logically sound, that is Turing computable are sound including Cantor's theorem which establishes scale invariance, that is symmetry with respect to complexity, so bringing the work of mathematicians and the work of the Universe into coincidence and explaining the unreasonable effectiveness of mathematica in the sciences.
Thursday 24 April 2014
Friday 25 April 2014
Saturday 26 April 2014
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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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Canon Law Society of America, Holy See, Code of Canon Law: Latin-English Edition, Canon Law Society of America 1984 Pope John Paul XXXIII announced his decision to reform the existing corpus of canonical legislation on 25 January 1959. Pope John Paul II ordered the promulgation of the revised Code of Canon law on the same day in 1983. The latin text is definitive. This English translation has been approved by the Canonical Affairs Committee of the [US] National Conference of Catholic Bishops in October 1983.
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Hille, Einar , Analytic Function Theory, Volume 1 , Chelsea 1973 Foreword: 'This book represents an effort to integrate the theory of analytic functions with modern analysis as a whole, in particular to present it as a branch of functional analysis, to which it gives concrete illustrations, problems and motivation.
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Kolmogorov, A N , and Nathan Morrison (Translator) (With an added bibliography by A T Bharucha-Reid), Foundations of the Theory of Probability, Chelsea 1956 Preface: 'The purpose of this monograph is to give an axiomatic foundation for the theory of probability. . . . This task would have been a rather hopeless one before the introduction of Lebesgue's theories of measure and integration. However, after Lebesgue's publication of his investigations, the analogies between measure of a set and mathematical expectation of a random variable became apparent. These analogies allowed of further extensions; thus, for example, various properties of independent random variables were seen to be incomplete analogy with the corresponding properties of orthogonal functions ... '
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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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Revelation, and Alexander Jones (editor), in The Jerusalem Bible, Darton Longman and Todd 1966 Prologue: 'This is the revelation given by God to Jesus Christ so that he could tell his servants about the things that are to take place very soon.; he sent his angel to make it known to his servant John, and John has written down everything he saw and swears it is the word of God guaranteed by Jesus Christ. Happy the man who reads this prophecy, and happy those who listen to him, if they treasure all that it says, because the Time is close' 1: 1-3.
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Schwinger, Julian, and (editor), Selected Papers on Quantum Electrodynamics, Dover 1958 Jacket: In this volume the history of quantum electrodynamics is dramatically unfolded through the original words of its creators. It ranges from the initial successes, to the first signs of crisis, and then, with the stimulus of experimental discovery, the new triumphs leading to an unparalleled quantitative accord between theory and experiment. In terminates with the present position in quantum electrodynamics as part of the larger subject of theory of elementary particles, faced with fundamental problems and future prospect of even more revolutionary discoveries.'
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Papers
| Bernstein, , Phillips, "Fibre bundles and quantum theory", Scientific American, 245, 1, January 1981, page 94. ''. back |
| Dirac, P A M, "The Lagrangian in Quantum Mechanics", Physikalische Zeitschrift der Sowjetunion, 3, 1, 1933, page 64-72. 'Quantum mechanics was built up on a foundation of analogy with the Hamiltonian theory of classical mechanics. . . . there is an alternative formulation of classical dynamics provided by the Lagrangian. This requires one to work in terms of coordinates and velocities instead of coordinates and momenta. The two formulations are, of course, closely related, but there are reasons for believing that the Lagrangian one is the more fundamental.' Reprinted in Julian Schwinger (editor), Selected Papers on Quantum Electrodynamics, Dover, New York, 1958.. back |
| Erez, Noam, et al, "Thermodynamic control by frequent quantum measurements", Nature, 452, 7188, 10 April 2008, page 724 - 727. Abstract: 'Heat flow between a large thermal 'bath' and a smaller system brings them progressively closer to thermal equilibrium while increasing their entropy. Fluctuations involving a small fraction of a statistical ensemble of systems interacting with the bath result in deviations from this trend. In this respect, quantum and classical thermodynamics are in agreement. Here we predict a different trend in a purely quantum mechanical setting: disturbances of thermal equilibrium between two-level systems (TLSs) and a bath, caused by frequent, brief quantum non-demolition measurements of the TLS energy states. By making the measurements increasingly frequent, we encounter first the anti-Zeno regime and then the Zeno regime (namely where the TLSs' relaxation respectively speeds up and slows down). The corresponding entropy and temperature of both the system and the bath are then found to either decrease or increase depending only on the rate of observation, contrary to the standard thermodynamical rules that hold for memory-less (Markov) baths. From a practical viewpoint, these anomalies may offer the possibility of very fast control of heat and entropy in quantum systems, allowing cooling and state purification over an interval much shorter than the time needed for thermal equilibration or for a feedback control loop.. back |
| Feynman, R P, "Space-Time approach to Non-Relativistic Quantum Mechanics", Reviews of Modern Physics, 20, , 1948, page 367 - 387. 'Non-relativistic quantum mechanics is formulated here in a different way. It is, however, mathematically equivalent to the familiar formulation. In quantum mechanics the probability of an event which can happen in several different ways is the absolute square of a sum of the complex contributions, one from each alternative way. The probability that a particle will be found to have a path x(t) lying somewere within a region of space time is the square of a sum of contributions, one from each path in the region. The contribution from a single path is postulated to be an exponential whose (imaginary) phase is the classical action (in units of h) for the path in question. The total contribution from all paths reaching , x, t from the past is the wave function psi(x, t). This is shown to satisfy Schroedinger's equation. The relation to matrix agebra is discussed. Applications are indicated, in particular to eliminate the coordinates of the field oscillators from the equations of quantum electrodynamics.'. back |
Links
| Aquinas 39, Whether God is in all things, 'I answer that, God is in all things; not, indeed, as part of their essence, nor as an accident, but as an agent is present to that upon which it works. For an agent must be joined to that wherein it acts immediately and touch it by its power; hence it is proved in Phys. vii that the thing moved and the mover must be joined together. Now since God is very being by His own essence, created being must be His proper effect; as to ignite is the proper effect of fire. Now God causes this effect in things not only when they first begin to be, but as long as they are preserved in being; as light is caused in the air by the sun as long as the air remains illuminated. Therefore as long as a thing has being, God must be present to it, according to its mode of being. But being is innermost in each thing and most fundamentally inherent in all things since it is formal in respect of everything found in a thing, as was shown above (7, 1). Hence it must be that God is in all things, and innermostly.' back |
| Emmy Noether, Invariante variationsprobleme (English Translation), E. Noether, "Invariante Variationsprobleme," Nachr. v. d. Ges. d. Wiss. zu Göttingen 1918, pp235-257.
English translation: M.A. Tavel, Reprinted from "Transport Theory and Statistical Mechanics" 1(3), 183-207 (1971). Provided to this site by M.A. Tavel and Henry M. Paynter." back |
| Execution by burning - Wikipedia, Execution by burning - Wikipedia, the free encyclopedia, 'Execution by burning has a long history as a method of punishment for crimes such as treason, heresy and witchcraft (burning, however, was actually less common than hanging, pressing, or drowning as a punishment for witchcraft). For a number of reasons, this method of execution fell into disfavor among governments in the late 18th century; today, it is considered cruel and unusual punishment[1]. The particular form of execution by burning in which the condemned is bound to a large stake is more commonly called burning at the stake.' back |
| Hamilton's principle - Wikipedia, Hamilton's principle - Wikipedia, the free encyclopedia, 'IIn physics, Hamilton's principle is William Rowan Hamilton's formulation of the principle of stationary action (see that article for historical formulations). It states that the dynamics of a physical system is determined by a variational problem for a functional based on a single function, the Lagrangian, which contains all physical information concerning the system and the forces acting on it. The variational problem is equivalent to and allows for the derivation of the differential equations of motion of the physical system. Although formulated originally for classical mechanics, Hamilton's principle also applies to classical fields such as the electromagnetic and gravitational fields, and has even been extended to quantum mechanics, quantum field theory and criticality theories.' back |
| Pope Benedict XVI - Wikipedia, Pope Benedict XVI - Wikipedia, the free encyclopedia, 'Pope Benedict XVI (Latin: Benedictus PP. XVI; Italian: Benedetto XVI; German: Benedikt XVI; born Joseph Alois Ratzinger on 16 April 1927) is the 265th and reigning Pope, by virtue of his office of Bishop of Rome, the spiritual head of the Roman Catholic Church, and as such, Sovereign of the Vatican City State.[1] He was elected on 19 April 2005 in a papal conclave, celebrated his Papal Inauguration Mass on 24 April 2005, and took possession of his cathedral, the Basilica of St. John Lateran, on 7 May 2005. Pope Benedict XVI has both German and Vatican citizenship. He succeeded Pope John Paul II.' back |
| The Holy See, The Holy See, The Vatican official site back |
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