Information Theory Applied to Space-Time Physics
- ISBN-10
- 9814504572
- ISBN-13
- 9789814504577
- Category
- Science
- Pages
- 320
- Language
- English
- Published
- 1993-01-31
- Publisher
- World Scientific
- Author
- Henning F Harmuth
Description
The success of Newton's mechanic, Maxwell's electrodynamic, Einstein's theories of relativity, and quantum mechanics is a strong argument for the space-time continuum. Nevertheless, doubts have been expressed about the use of a continuum in a science squarely based on observation and measurement. An exact science requires that qualitative arguments must be reduced to quantitative statements. The observability of a continuum can be reduced from qualitative arguments to quantitative statements by means of information theory. Information theory was developed during the last decades within electrical communications, but it is almost unknown in physics. The closest approach to information theory in physics is the calculus of propositions, which has been used in books on the frontier of quantum mechanics and the general theory of relativity. Principles of information theory are discussed in this book. The ability to think readily in terms of a finite number of discrete samples is developed over many years of using information theory and digital computers, just as the ability to think readily in terms of a continuum is developed by long use of differential calculus. Contents:Historical ReviewInformation Theory Applied to MeasurementsCoordinate SystemsTime and MotionPropagation in Unusual Coordinate SystemsDistinction of Sinusoidal FunctionsDiscrete Topologies and Difference EquationsSchrödinger and Klein-Gordon Difference EquationsSchrödinger Difference Equation with Coulomb FieldKlein-Gordon Difference Equation with Coulomb FieldDirac Difference Equation with Coulomb FieldMathematical Supplements Readership: Physicists interested in mathematical physics, cosmology, high energy physics, nuclear and atomic physics. keywords:Calculus of Finite Differences;Coordinate Systems;Difference Equations;Discrete Coordinate Systems;Discrete Topologies;Metric;Metric Tensor;Quantum Physics;Space-Time Continuum;Space-Time Physics
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