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Quantum Mechanics and Gravity : The Frontiers Collection - Mendel Sachs

Quantum Mechanics and Gravity

The Frontiers Collection

Hardcover Published: January 2004
ISBN: 9783540008002
Number Of Pages: 192

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Introduction.- The Theory of General Relativity.- Quantum Mechanics and the Origin of Inertial Mass from General Relativity.- Electromagnetic Theory in its Irreducible Form.- Application to Problems of Elementary Particle Physics.- Applications to Problems of Astrophysics.

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From the reviews:

"This book differs from the many other books on the same topics in three essential points: 1st, it concentrates on the historical development of the question of the unification of quantum theory and gravity, 2nd, it uses the quaternion approach to describe the metric and other geometric objects, and 3rd, it is a quite personal book. ... a very readable monograph, containing also philosophical issues, considerations about electromagnetism, and unified field theory." (Hans-Jurgen Schmidt, Zentralblatt MATH, Vol. 1052, 2005)

"The basic attempt of this book is to initiate a study of a single, coherent theory of matter applicable to all domains, from elementary particle physics to cosmology. ... This very interesting and clearly written book is even readable by a final year's student in physics. The presentation is very well got-up. ... I highly recommend this excellent work to every theoretical physicist interested in general relativity and unified field theories." (Fernand Dhoore, Physicalia, Vol. 57 (3), 2005)

"Sachs' book is a fascinating exposition of how an approximation in general relativity brings out quantum mechanical features. Perhaps Einstein would have been greatly interested. ... I think it should be read by anyone who is interested in quantum mechanics and gravity." (J. Hartley, Contemporary Physics, Vol. 45 (6), 2004)

Introductionp. 1
History and Philosophy of the Quantum Theoryp. 2
Blackbody Radiationp. 2
Photoelectric Effectp. 3
Compton Effectp. 4
Atomic Spectra and the Bohr Atomp. 4
The Seminal Experiment: Electron Diffractionp. 6
Interpretations of Quantum Mechanicsp. 9
History and Philosophy of Theories of Gravity Leading to the Theory of General Relativityp. 11
Newton's Third Law of Motionp. 15
Predictions of Einstein's Theory of General Relativityp. 18
A Quantum Theory of Gravityp. 21
The Theory of General Relativity: Einstein's Formulationp. 25
The Spacetime Languagep. 26
On Invariance of the Speed of Lightp. 27
The Riemannian Metricp. 28
Expression of Einstein's Field Equationsp. 30
Einstein's Equations from the Variational Principlep. 31
The Vacuum Equationp. 34
The Geodesic Equationp. 36
The Schwarzschild Solution and the Newtonian Limitp. 39
A Unified Field Theoryp. 43
Einstein's Field Theory in Quaternion Formp. 44
Spin Affine Connectionp. 47
The Quaternion Variables in a Riemannian Spacetimep. 48
Derivation of the Quaternion Metrical Field Equations from the Principle of Least Actionp. 50
A Symmetric Tensor-Antisymmetric Tensor Representation of General Relativityp. 53
Einstein's Field Equation from the Symmetric Tensor Partp. 54
The Maxwell Field Equations from the Antisymmetric Partp. 55
The Geodesic Equation in Quaternion Formp. 58
Summaryp. 61
Quantum Mechanics from a Theory of Inertial Mass in Relativityp. 63
Introductionp. 64
Discovery of Quantum Mechanicsp. 67
Inertial Mass from General Relativityp. 71
The Matter Field Equations in General Relativityp. 73
Gauge Covariancep. 73
The Elementary Interactionp. 75
Proof of the Attractive Gravitational Force in the Newtonian Limit and the Oscillating Universe Cosmologyp. 76
From the Mach Principle to the Generalized Mach Principlep. 77
Electromagnetismp. 79
Introductionp. 80
Interpretation of Maxwell's Equations in the Holistic Field Theoryp. 83
The Elementary Interaction Formulationp. 84
A Spinor Formulation of Electromagnetic Theory in Special Relativityp. 85
Invariants and Conservation Equations in the Spinor Formalismp. 86
Lagrangian for the Spinor Formulation of Electromagnetismp. 88
Faraday's Approach and the Mach Principlep. 90
Spinor Formulation of Electromagnetism in General Relativityp. 90
Extension of the Spinor Conservation Laws of Electromagnetism in General Relativityp. 91
The Electromagnetic Interaction Functional in the Matter Field Equationsp. 94
Delayed Action at a Distancep. 95
The Pauli Principle and Pair Creation/Annihilationp. 97
Introductionp. 98
The Individual Particle Modelp. 100
The Free Field Limitp. 100
Conservation of Interactionp. 101
The Pauli Exclusion Principlep. 103
Sufficiency of the Three Conditions for Proof of the Pauli Principlep. 108
Fermi-Dirac Statistics from the Nonrelativistic Approximation for ¿p. 110
Bound Particle-Antiparticle Pairs. Ground Statep. 111
Energy and Momentum of the Bound Pair in its Ground Statep. 113
Dynamical Properties of the Pair in its Ground Statep. 114
Pair Creation, the Physical Vacuum, and Blackbody Radiationp. 117
Atomic and Elementary Particle Physicsp. 121
Introductionp. 122
Hydrogenp. 124
Linearization of the Hydrogen Field Equationp. 124
The Lamb Splittingp. 127
The Neutronp. 130
Binding Energy of the Neutron: A Phenomenological Determinationp. 131
The Neutron Lifetimep. 132
The Neutron Magnetic Momentp. 134
Mass Doublets: The Electron-Muonp. 135
Infinite Lepton Spectrump. 136
The Pionp. 138
Ratio of Neutral and Charged Pion Massesp. 139
Ratio of Neutral and Charged Pion Lifetimesp. 140
CP Violation in Neutral Kaon Decayp. 141
Charge Quantization in General Relativityp. 143
Astrophysics and Cosmology in General Relativityp. 147
Introductionp. 148
Principle of Equivalencep. 150
The Quaternion Geodesic for a Stationary Orbitp. 152
Planetary Motionp. 153
The Schwarzschild Problemp. 155
The Radial Solution and Perihelion Precessionp. 158
The Hubble Law and Cosmologyp. 159
The Oscillating Universe Cosmologyp. 160
Dynamics of the Expansion and Contraction of the Universep. 161
Spiral Structure of the Universep. 163
Black Holes and Pulsarsp. 166
Possible Model of a Pulsarp. 168
Damped Oscillatory Motion and Pulsarsp. 170
Separation of Matter and Antimatter in the Early Universep. 171
Bibliographyp. 175
Indexp. 189
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9783540008002
ISBN-10: 3540008004
Series: The Frontiers Collection
Audience: Tertiary; University or College
Format: Hardcover
Language: English
Number Of Pages: 192
Published: January 2004
Publisher: Springer-Verlag Berlin and Heidelberg Gmbh & Co. Kg
Country of Publication: DE
Dimensions (cm): 23.4 x 15.6  x 1.68
Weight (kg): 0.44

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