Science from Fisher Information A Unification 2nd Edition by B Roy Frieden ISBN 0521009111 9780521009119
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ISBN 10: 0521009111
ISBN 13: 9780521009119
Author: B Roy Frieden
This book develops and applies an analytical approach to deriving the probability laws of science in general. It is called ‘extreme physical information’ or EPI. EPI is an expression of the imperfection of observation: Owing to random interaction of a subject with its observer and other possible disturbances, its measurement contains less Fisher information than does the subject per se. Moreover, the information loss is an extreme value. An EPI output may alternatively be viewed as the payoff of a zero-sum game of information acquisition between the observer and a ‘demon’ in subject space. EPI derives, Escher-like, the very probability law that gave rise to the measurement. In applications, EPI is used to derive both existing and new analytical relations governing probability laws of physics, genetics, cancer growth, ecology and economics. This unified approach will be fascinating to students and those who seek a new mathematical tool of research.
Science from Fisher Information A Unification 2nd Table of contents:
1 – What is Fisher information?pp 23-57
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Select 2 – Fisher information in a vector world
2 – Fisher information in a vector worldpp 58-73
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Select 3 – Extreme physical information
3 – Extreme physical informationpp 74-130
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Select 4 – Derivation of relativistic quantum mechanics
4 – Derivation of relativistic quantum mechanicspp 131-162
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Select 5 – Classical electrodynamics
5 – Classical electrodynamicspp 163-189
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Select 6 – The Einstein field equation of general relativity
6 – The Einstein field equation of general relativitypp 190-208
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Select 7 – Classical statistical physics
7 – Classical statistical physicspp 209-242
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Select 8 – Power spectral 1 / ƒ noise
8 – Power spectral 1 / ƒ noisepp 243-253
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Select 9 – Physical constants and the 1/x probability law
9 – Physical constants and the 1/x probability lawpp 254-270
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Select 10 – Constrained-likelihood quantum measurement theory
10 – Constrained-likelihood quantum measurement theorypp 271-289
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Select 11 – Research topics
11 – Research topicspp 290-313
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Select 12 – EPI and entangled realities: the EPR–Bohm experiment
12 – EPI and entangled realities: the EPR–Bohm experimentpp 314-332
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Select 13 – Econophysics, with Raymond J. Hawkins
13 – Econophysics, with Raymond J. Hawkinspp 333-355
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Select 14 – Growth and transport processes
14 – Growth and transport processespp 356-391
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Select 15 – Cancer growth, with Robert A. Gatenby
15 – Cancer growth, with Robert A. Gatenbypp 392-413
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Select 16 – Summing up
16 – Summing uppp 414-432
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Tags: B Roy Frieden, Science, Fisher