Information Theory Applied To Space-time Physics
Seiten
1993
World Scientific Publishing Co Pte Ltd (Verlag)
978-981-02-1278-0 (ISBN)
World Scientific Publishing Co Pte Ltd (Verlag)
978-981-02-1278-0 (ISBN)
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Discusses the principles of information theory in relation to physics. Topics covered include distinction of sinusoidal functions, information theory applied to measurements, time and motion, and the Dirac difference equation with Coulomb field. Mathematical supplements are provided.
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.
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.
Historical review; information theory applied to measurements; coordinate systems; time and motion; propagation in unususal coordinate systems; distinction of sinusoidal functions; discrete topologies and difference equations; Schrodinger and Klein-Gordon difference equation; Schrodinger difference equation with Coulomb Field; Klein-Gordon difference equation with Coulomb Field; Dirac diffrence equation with Coulomb Field; mathematical supplements.
| Erscheint lt. Verlag | 1.1.1993 |
|---|---|
| Verlagsort | Singapore |
| Sprache | englisch |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Angewandte Mathematik |
| Naturwissenschaften ► Physik / Astronomie ► Relativitätstheorie | |
| ISBN-10 | 981-02-1278-X / 981021278X |
| ISBN-13 | 978-981-02-1278-0 / 9789810212780 |
| Zustand | Neuware |
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