Information Theory Applied to Space-time PhysicsWorld Scientific, 1992 - 306 Seiten 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. |
Im Buch
Ergebnisse 1-5 von 97
Seite
... Dimensions and One Space Dimension 100 5 Propagation in Unusual Coordinate Systems 5.1 Dyadic Metric 5.2 Dyadic Coordinate Systems 104 112 5.3 Standing Waves and Topology 5.4 Observed Shifts and Their Eigenfunctions 5.5 Nondyadic ...
... Dimensions and One Space Dimension 100 5 Propagation in Unusual Coordinate Systems 5.1 Dyadic Metric 5.2 Dyadic Coordinate Systems 104 112 5.3 Standing Waves and Topology 5.4 Observed Shifts and Their Eigenfunctions 5.5 Nondyadic ...
Seite 1
Der Inhalt dieser Seite ist beschränkt..
Der Inhalt dieser Seite ist beschränkt..
Seite 2
Der Inhalt dieser Seite ist beschränkt..
Der Inhalt dieser Seite ist beschränkt..
Seite 9
Der Inhalt dieser Seite ist beschränkt..
Der Inhalt dieser Seite ist beschränkt..
Seite 12
Der Inhalt dieser Seite ist beschränkt..
Der Inhalt dieser Seite ist beschränkt..
Inhalt
Time and Motion | 11 |
Information Theory Applied to Measurements | 18 |
Coordinate Systems | 36 |
and a lower case Latin letter if more than one reference by the same authors is listed | 88 |
Propagation in Unusual Coordinate Systems | 104 |
Distinction of Sinusoidal Functions | 163 |
Discrete Topologies and Difference Equations | 197 |
Schrödinger and KleinGordon Difference Equations | 204 |
Schrödinger Difference Equation with Coulomb Field | 218 |
KleinGordon Difference Equation with Coulomb Field | 230 |
Dirac Difference Equation with Coulomb Field | 254 |
Mathematical Supplements | 270 |
297 | |
303 | |
Andere Ausgaben - Alle anzeigen
Häufige Begriffe und Wortgruppen
angles bits calculus Cartesian coordinate system circle clock coefficients continuum convergence coordinate distance coordinate lines coordinate points coordinate system based defined derived difference equation difference operator difference quotient differential equation digits discrete coordinate system dyadic coordinate system dyadic shifting eigenfunctions equal Euclidean geometry factorial series finite number four-dimensional Gray code grid points Hamming distance Hence infinite information theory integration interval Klein-Gordon equation marks mathematical measured metric metric tensor minimized code minimum absolute distance modulo neighbors nondenumerably numbers axis O(Ar observable obtains P₁ particle physical plane propagation Pythagorean distance real numbers replaced representation result Riemann ring 2N rods rotation ruler samples Section shown shows sinusoidal functions small values solution space-time spheres spherical standing waves structure surface Table tensor theory of relativity three dimensions three-dimensional space topology tripod two-dimensional unbounded coordinate system usual binary code variable velocity Walsh functions x-axis y-axis y-ring yields Δυ