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Physics From Fisher Information: A Unification

B Roy Frieden
Physics From Fisher Information: A Unification

Physics From Fisher Information: A Unification

B Roy Frieden

$137.30

Hardback
This book defines and develops a unifying principle of physics, that of 'extreme physical information'. The information in question is, perhaps surprisingly, not Shannon or Boltzmann entropy but, rather, Fisher information, a simple concept little known to physicists. Both statistical and physical properties of Fisher information are developed. This information is shown to be a physical measure of disorder, sharing with entropy the property of monotonic change with time. The information concept is applied 'phenomenally' to derive most known physics, from statistical mechanics and thermodynamics to quantum mechanics, the Einstein field equations, and quantum gravity. Many new physical relations and concepts are developed, including new definitions of disorder, time and temperature. The information principle is based upon a new theory of measurement, one which incorporates the observer into the phenomenon that he/she observes. The 'request' for data creates the law that, ultimately, gives rise to the data. The observer creates his or her local reality.

- Publisher A unified derivation of physics from Fisher information, giving new insights into physical phenomena.

- Publisher This text defines and develops a unifying principle of physics, that of extreme physical information. The information in question is known as Fisher information. Both statistical and physical properties of Fisher information are developed.

- Publisher

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About "Physics From Fisher Information: A Unification"

This book defines and develops a unifying principle of physics, that of 'extreme physical information'. The information in question is, perhaps surprisingly, not Shannon or Boltzmann entropy but, rather, Fisher information, a simple concept little known to physicists. Both statistical and physical properties of Fisher information are developed. This information is shown to be a physical measure of disorder, sharing with entropy the property of monotonic change with time. The information concept is applied 'phenomenally' to derive most known physics, from statistical mechanics and thermodynamics to quantum mechanics, the Einstein field equations, and quantum gravity. Many new physical relations and concepts are developed, including new definitions of disorder, time and temperature. The information principle is based upon a new theory of measurement, one which incorporates the observer into the phenomenon that he/she observes. The 'request' for data creates the law that, ultimately, gives rise to the data. The observer creates his or her local reality.
- Publisher

A unified derivation of physics from Fisher information, giving new insights into physical phenomena.
- Publisher

This text defines and develops a unifying principle of physics, that of extreme physical information. The information in question is known as Fisher information. Both statistical and physical properties of Fisher information are developed.
- Publisher

Table Of Contents

  • Introduction
  • 1. What Is Fisher Information?
  • 2. Fisher Information In A Vector World
  • 3. Extreme Physical Information
  • 4. Derivation Of Relativistic Quantum Mechanics
  • 5. Classical Electrodynamics
  • 6. The Einstein Field Equation Of General Relativity
  • 7. Classical Statistical Physics
  • 8. Power Spectral 1/f Noise
  • 9. Physical Constants And The 1/x Probability Law
  • 10. Constrained-likelihood Quantum Measurement Theory
  • 11. Research Topics
  • Appendix A. Solutions Common To Entropy - And Fisher I - Extremization
  • Appendix B. Cramer-rao Inequalities For Vector Data
  • Appendix C. Cramer-rao Inequality For An Imaginary Parameter
  • Appendix D. Simplified Derivation Of The Schroedinger Wave Equation
  • Appendix E. Factorization Of The Klein-gordon Information
  • Appendix F. Evaluation Of Certain Integrals.

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Product Details

Product Details
  • Catalogue Code 150468
  • Product Code 052163167X
  • EAN 9780521631679
  • Pages 328
  • Department Academic
  • Category Science
  • Sub-Category General
  • Publisher Cambridge University Uk
  • Publication Date Dec 1998
  • Dimensions 255 x 182 x 22 mm
  • Weight 0.805kg

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