vol 7: Notes
2007
Sunday 7 October
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... to restore theology to the mainstream of science
Notes
[Notebook: DB 62 Interpretation]
[Sunday 7 October 2007 - Saturday 13 October 2007]
[page 21]
Sunday 7 October 2007
Another youth has impaled himself on his bike ad lives only through intensive care. From carefree (and careless) youth to careful old age. The aim of the education system is to instill carefulness at an early age in order to
[page 22]
keep the error rate in the social system down.
In the technical domain we consider only error and how to reduce and correct it. So we can do much to improve heath by keeping our water supply clean. The attribution of blame and guilt must be done by peers because it is too complex to judge technically, although technical means provide evidence for judgment: what was the internal state of X when s/he performed this act?
It takes two to communicate, a bra < | and a ket < | . Dirac
Feynman III 12-3 'There is no general rule for writing down the Hamiltonian of an atomic system, and finding the right formula is much more of an art than finding a set of basis states". Feynman
The symmetric universe wants to be the constant energy basis o the universe. The eigenvalue equation for energy assigns an energy to certain ordered sets (functions, eigenvectors), in other words it assigns an energy to a form (a potential energy) which becomes manifest when (non-degenerate) forms or states are 'occupied' or 'vacated' [created or annihilated] with the emission or absorption of energy. This is Landauer again. Landauer, Robert W Keyes
Because quantum mechanics is complexity invariant, we can say all we want to say with two state systems, The extrapolation is ultimately of computation and constrained by the boundaries of computation.
[page 23]
Phase is never constant, [except where there is no energy, ie no reality, ie pure form] counting increasingly like time, but relative phase may be constant or vary much more slowly than the underlying phases, and it is here that we find the structure of the universe. So constant energy conveys no information,
Feynman 11-4: 'It is sometimes said that to each quantity in classical physics there corresponds a matrix in quantum mechanics. It is really more correct to say that the Hamiltonian matrix corresponds to the energy, and any quantity that can be defined via energy has a corresponding matrix'. [and this is network traffic]
Each state is a map (function) describing a moment in the evolution of a system [in terms of a set of 'known' or 'assumed' base states], and we may put all the maps together to build an atlas (history) of the evolution of the state.
Quantum Hamiltonian mechanics is mathematical machinery for determining the time rate (time probability) of communication in the channels defined by the Hamiltonian matrix, ie how much communication [traffic] is there between i and j ?
Feynman 11-9: 'All systems of two states can be made analogous to a spin one-half object precessing in a magnetic field.
Monday 1 October 2007
Energy = camera speed
momentum = camera resolution.
Energy varies as the square of momentum.
Tuesday 2 October 2007
Wednesday 3 October 2007
Thursday 4 October 2007
Friday 5 October 2007
Saturday 6 October 2007
Further reading
Books
| Cassirer, Ernst, Kant's Life and Thought, Yale University Press 1971 Jacket: 'Ernst Cassirer's own philosophical system and approach to the history of ideas developed under the continuous influence of Kant. Cassier looked on Kant's teachings as an expression of the permanent tasks of philosophy, and it was as an heir to Kant's work that he produced this intellectual biography which is at the same time as a survey of Kant's writing.' Note: 'Kants Leben und Lehre was first published in 1918, by Bruno Cassirer in Berlin, as a supplementary volume to the edition of Kant's works of which Ernst Cassirer was both general editor and also sole or coeditor of four individual volumes.' p xxii Amazon back |
| Christie, Agatha, The Labours of Hercules, Berkley Publishing Group 1997 Amazon: 'The most intricate and clever criminal challenges of Hercule Poirot's illustrious career can be found in this classic that fans have been dying to rediscover.' Amazon back |
| Dirac, P A M, The Principles of Quantum Mechanics (4th ed), Oxford UP/Clarendon 1983 Jacket: '[this] is the standard work in the fundamental principles of quantum mechaincs, indispensible both to the advanced student and the mature research worker, who will always find it a fresh source of knowledge and stimulation.' (Nature) 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 |
Papers
| Landauer, Rolf, "Information is a physical entity", Physica A, 263, 1-4, 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
| Robert W Keyes Rolf Landauer 'His observations about energy dissipation and the way that it is manifested in physical models convinced Rolf that it is wrong to think of information abstractly, independent of its physical representation. He had expressed this thesis in 1967 in a contribution to the Institute of Electrical and Electronics Engineers (IEEE) magazine Spectrum entitled "Wanted: A Physically Possible Theory of Physics" and much later in a work "Information is Physical," a phrase that became enduringly associated with his name. He insisted that the use of energy and other physical resources in computing limits man's knowledge of the world and called for a science that did not demand infinite accuracy of its fundamental concepts, such as the value of p.' back |
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