Statistical Geometry and Applications to Microphysics and Cosmology
Başlık:
Statistical Geometry and Applications to Microphysics and Cosmology
ISBN:
9789401152303
Personal Author:
Edition:
1st ed. 1998.
Yayın Bilgileri:
Dordrecht : Springer Netherlands : Imprint: Springer, 1998.
Fiziksel Tanımlama:
XI, 251 p. online resource.
Series:
Fundamental Theories of Physics, 92
Contents:
1 Introduction and Historical Survey -- 1.1 Introduction -- 1.2 Beginnings -- 1.3 Menger 1942 -- 1.4 Rosen 1947 -- 1.5 Mathematical developments 1956-1961 -- 1.6 Blokhintsev and Takano 1960-1961 -- 1.7 Random metrics -- 1.8 Ingraham 1966 -- 1.9 New developments 1975 and later -- 2 Statistical Behavior of Microparticles -- 2.1 Microparticles and Quantum Mechanics -- 2.2 Fluctuation of Space-Time Metric -- 2.3 Decoherence in Quantum Mechanics -- 2.4 Frame dependence of Scattering Matrix -- 2.5 E-P-R Correlations -- 2.6 4? Periodicity of Spinor Wave Function -- 3 Space-Time Fluctuation and Random Potential -- 3.1 Introduction -- 3.2 Langrangian Mechanics -- 3.3 Lamb Shift and Hydrogen Atom -- 3.4 Fifth Force -- 3.5 Origin of Quantum Potential -- 3.6 Quantum Statistics and Random Trajectories -- 3.7 Quark Confinement -- 4 Non-Local Fields -- 4.1 Extended Elementary Objects -- 4.2 Internal Variable and Fluctuation of Space-Time Metric -- 4.3 Quantum Geometry -- 4.4 Probabilistic Finsler Geometry -- 4.5 Local Heat Energy and Local Temperature -- 5 Astro-Particle Physics -- 5.1 Acceleration Mechanism -- 5.2 Highest Energy Cosmic Ray Spectrum -- 5.3 Propagation of Light in a Dissipative Maxwell Vacuum -- 6 Einstein Equation for Gravitational Field -- 6.1 Einstein Equation and Fluctuation of g?v -- 6.2 Turbulent Gravitational Field and Cosmological Issues -- 6.3 Possible Implications -- 7 Origin of Stochasticity -- 7.1 Introduction -- 7.2 Random Zero-Point Field -- 7.3 Stochastic Strings -- 7.4 New Correspondence Principle -- 7.5 Stochastic Background Force and Origin of Quantization -- 8 Possible Implications -- 8.1 Prologue -- 8.2 Quantum Fluctuation -- 8.3 Limitations of the Measurement of Space-Time Distances -- 8.4 Relativistic Cosmology and Time Singularity -- 9 Epilogue: New Dialogue of Man With Nature -- 9.1 Fuzziness in Space-Time -- 9.2 Spontaneity, Order and Wholeness.
Abstract:
Recent results from high-energy scattering and theoretical developments of string theory require a change in our understanding of the basic structure of space-time. This book is about the advancement of ideas on the stochastic nature of space-time from the 1930s onward. In particular, the author promotes the concept of space as a set of hazy lumps, first introduced by Karl Menger, and constructs a novel framework for statistical behaviour at the microlevel. The various chapters address topics such as space-time fluctuation and random potential, non-local fields, and the origin of stochasticity. Implications in astro-particle physics and cosmology are also explored. Audience: This volume will be of interest to physicists, chemists and mathematicians involved in particle physics, astrophysics and cosmology.
Ek Kurum Yazarı:
Dil:
English