Preface |
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vii | |
Overview |
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x | |
Logical Connections of Relativity Theories with 4-Dimensional Symmetry |
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xix | |
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1 | (8) |
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Limitations of Special Relativity |
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1 | (1) |
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Question #1: Can the theory of relativity be formulated solely on the basis of the first principle of relativity (without assuming the constancy of the speed of light)? |
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2 | (2) |
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Question #2: Can one generalize the 4-dimensional transformation for inertial frames to non-inertial frames with a constant acceleration or rotation? In accelerated frames, the speed of light is no longer a universal; is the Planck constant still a universal constant? |
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4 | (1) |
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Question #3: Within the 4-dimensional symmetry framework of special relativity, it appears to be impossible, in principle, to generalize the classical Liouville equation for many-particle systems to a Lorentz invariant Liouville equation. Can we overcome this difficulty? |
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4 | (1) |
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Question #4: In view of the profound divergence difficulties in quantum field theory, is the spacetime 4-dimensional symmetry exact at very large momenta or short distances? |
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5 | (4) |
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A Brief Review of Space and Time |
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9 | (10) |
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9 | (2) |
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11 | (1) |
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Inertial Frames of References |
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11 | (2) |
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Space and Time Transformations |
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13 | (1) |
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Absolute Time, Relative Time, Common Time and Taiji Time |
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14 | (5) |
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The Nontrivial Pursuit of Earth's Absolute Motion |
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19 | (8) |
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Newton, Classical Mechanics and Invariant Laws of Motion |
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19 | (3) |
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Maxwell's Suggestion for Finding Absolute Motion and Michelson's Interferometer |
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22 | (5) |
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On the Right Track --- Voigt, Lorentz and Larmor |
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27 | (8) |
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``Absolute Contraction of Length'' and Lorentz's Heuristic Local Time |
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27 | (2) |
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Exact Transformations Discovered by Larmor and Lorentz |
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29 | (6) |
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Poincare's Contributions and the Aether (Past and Present) |
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35 | (26) |
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A Remarkable Insight of Physical Time |
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35 | (2) |
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Poincare's Innovative Principle of Relativity |
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37 | (2) |
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Poincare's Theory of relativity Based on 1 Postulate and 1 Definition |
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39 | (7) |
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The Concept of an ``Aether'' Never Fades Away |
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46 | (2) |
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Conformal Transformations for Inertial Frames with Absolute Velocity and ``Conformal 4-Dimensional Symmetry'' with the Constant Speed of Light |
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48 | (3) |
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Poincare's Contributions to Relativity and Symmetry Principles |
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51 | (10) |
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Young Einstein's Novel Creation Based on 2 Postulates |
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61 | (19) |
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The Power of a Young Mind |
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61 | (1) |
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Einstein's Formulation of Special Relativity with 2 Postulates |
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62 | (4) |
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The Derivation of the Lorentz Transformations |
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66 | (2) |
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Novel Relative Properties of Space and Time |
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68 | (3) |
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Physical Implications of Einstein's Special Relativity |
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71 | (1) |
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72 | (8) |
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Minkowski's 4-Dimensional Spacetime, Adjustable Clocks and Flexibility in the Concept of Time |
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80 | (7) |
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The Completion of Special Relativity by Minkowski's Idea of 4-Dimensional Spacetime |
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80 | (2) |
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The Collision of the Titanic and Haywire Clocks |
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82 | (1) |
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The Primacy of the 4-Dimensional Symmetry |
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83 | (1) |
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A Flexible Concept of Time |
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83 | (4) |
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Taiji Relativity Based Solely on 1 Principle --- the First Principle of Relativity |
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87 | (13) |
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Refreshingly Innocent Questions |
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87 | (1) |
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4-Dimensional Taiji Transformations |
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88 | (2) |
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Taiji Time and Clock Systems |
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90 | (1) |
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Taiji Velocity Transormations |
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91 | (1) |
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Comparisons with Special Relativity |
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92 | (3) |
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Einstein's Time, Common Time, Reichenbach's Time and Unspecified Time |
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95 | (1) |
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96 | (4) |
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The Arbitrary Speed of Light in Taiji Relativity and the Michelson-Morley Experiment |
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100 | (12) |
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Does the Michelson-Morley Experiment Imply a Constant and Isotropic Speed of Light? |
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100 | (3) |
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The Michelson-Morely Experiment Supports the First Postulate of Relativity |
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103 | (3) |
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Do Any Experiments Really Show the Universal Constancy of the Speed of Light c? |
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106 | (3) |
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Physical Quantities Measured by Using Taiji Time |
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109 | (3) |
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Lorentz and Poincare Invariance Without Involving a Constant Corresponding to the Speed of Light |
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112 | (13) |
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Group Properties of Taiji Transormations |
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112 | (3) |
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The Lorentz Group Without Involving the Constant Speed of Light |
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115 | (5) |
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The Poincare Group with Ten Generators and Without Involving the Constant Speed of Light |
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120 | (5) |
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Truly Universal Constants and Physical Laws Based on Taiji Relativity |
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125 | (13) |
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Truly Universal Constants and Invariant Actions |
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125 | (3) |
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Atomic Structures and Doppler Shifts |
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128 | (3) |
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Dirac's Conjecture of Truly Fundamental Constants vs. Taiji Relativity's Results, and the Origin of the ``Universal Value'' c = 29979245800cm/sec |
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131 | (3) |
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The Maxwell Equations Without the Constant Speed of Light c |
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134 | (4) |
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Quantum Electrodynamics Based on Taiji Relativity and Dilatation of Lifetimes and Decay-Lenghts |
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138 | (10) |
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Quantum Electrodynamics Based on Taiji Relativity |
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138 | (4) |
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Experimental Measurements of Dilatation for Decay-Lenghts and Decay-Lifetimes |
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142 | (6) |
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Common Relativity: A Common Time for All Observers |
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148 | (19) |
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148 | (1) |
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Two Basic Postulates of Common Relativity |
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149 | (1) |
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The Space-Lightime Transformations and Physical Clocks |
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150 | (3) |
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Relativity of the Speed of Light Measured by Using Common Time |
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153 | (1) |
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The Symmetry Between Any Two Frames F and F' |
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154 | (1) |
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The Two-Way Speed of Light |
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155 | (2) |
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The Inverse Transformations and the Lorentz Group |
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157 | (1) |
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4-Dimensional Maxwell Equations and Lorentz Force with Scalar Physical Time |
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158 | (4) |
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Quantum Electrdynamics Based on Common Relativity |
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162 | (2) |
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New Properties in Common Relativity |
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164 | (3) |
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Common Time and Many-Particle Systems in a 4-Dimensional Symmetry Framework |
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167 | (28) |
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Problems of Relative Simultaneity for Many-Particle Systems |
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167 | (3) |
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Invariant Hamiltonian Dynamics and Phase Space |
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170 | (4) |
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The Invariant Kinetic Theory of Gases |
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174 | (4) |
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The Invariant Liouville Equation |
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178 | (2) |
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Invariant Entropy, Temperature and Maxwell-Boltzmann Distribution |
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180 | (2) |
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The Invariant Boltzmann-Vlasov Equation |
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182 | (6) |
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Boltzmann's Transport Equation with 4-Dimensional Symmetry |
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188 | (3) |
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Boltzmann's H Theorem with 4-Dimensional Symmetry |
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191 | (4) |
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Common Relativity and Quantum Mechanics |
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195 | (12) |
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Fuzziness at Short Distances and the Invariant `Genergy' |
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195 | (2) |
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Fuzzy Quantum Mechanics with an Inherent Fuzziness in the Position of a Point Particle |
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197 | (5) |
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A Fuzzy Point and Modified Coulomb Potential at Short Distances |
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202 | (2) |
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Inherent Probability for Suppression of Large Momentum States |
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204 | (3) |
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Common Relativity and Fuzzy Quantum Field Theory |
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207 | (14) |
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Fuzzy Quantum Field Theories |
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207 | (5) |
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Fuzzy Quantum Electrodynamics Based on Common Relativity |
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212 | (4) |
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Experimental Tests of Possible Approximate 4-Dimensional Symmetry of Special Relativity at Very High Energies and Short Distances |
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216 | (5) |
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Common Relativity and the 3 K Cosmic Background Radiation |
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221 | (11) |
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Implications of Non-Invariant Planck's Law of Blackbody Radiation |
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221 | (1) |
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The Invariant Partition Function |
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221 | (2) |
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223 | (3) |
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Canonical Distribution and Blackbody Radition |
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226 | (2) |
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Question on Earth's ``Absolute'' Motion in the 3 K Radiation |
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228 | (4) |
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Extended Relativity: A Weaker Postulate for the Speed of Light |
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232 | (16) |
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4-Dimensional Symmetry as a Guiding Principle |
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232 | (2) |
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Edwards' Transformations with Reichenbach's Time |
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234 | (2) |
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Difficulties of Edwards' Transformations |
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236 | (2) |
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Extended Relativity --- A 4-Dimensional Theory with Reichenbach's Time |
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238 | (4) |
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Two Basic Postulates of Extended Relativity |
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242 | (2) |
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Invariant Action for a Free Particle in Extended Relativity |
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244 | (4) |
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Extended Relativity with the Lorentz Group and Lifetime Dilatation |
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248 | (8) |
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A Comparison of Extended Relativity and Special Relativity |
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248 | (2) |
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An Unpassable Limit and Non-Constant Speed of Light |
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250 | (1) |
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The Lorentz Group and the Space-Lightime Transformations |
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251 | (2) |
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The Decay Rate and ``Lifetime Dilatation'' |
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253 | (3) |
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Physical Implications of Extended Relativity |
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256 | (17) |
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4-Dimensional Symmetry with a Universal 2-Way Speed of Light |
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256 | (3) |
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Some Experimental Implications of Extended Relativity |
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259 | (1) |
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Doppler Shifts of Frequency and Atomic Energy Levels |
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260 | (3) |
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Classical Electrodynamics Based on Extended Relativity |
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263 | (3) |
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Quantum Electrodynamics Based on Extended Relativity |
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266 | (4) |
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A Clock System for Lightime, Lifetime Dilatation and the Maximum Speed of Physical Objects |
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270 | (3) |
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Determination of the Parameters of General Linear Transformations by Precision Experiments |
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273 | (9) |
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A General Parameterization of Linear Transformations |
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273 | (2) |
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Determinations of Parameters by Three Experiments |
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275 | (3) |
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Flexibility of the Relation for t and t' in 4-Dimensional Symmetry Framework |
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278 | (4) |
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Generalized Lorentz Transformations for Non-Inertial Frames Based on the Limiting 4-Dimensional Symmetry |
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282 | (22) |
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An Answer to Young Einstein's Question and Its Implications |
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282 | (4) |
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Physical Time and Clocks in Linearly Accelerated Frames |
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286 | (4) |
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Moller's Gravitational Approach to Accelerated Transformations |
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290 | (3) |
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A Kinematical Approach to Accelerated Transformations Based on the Limiting 4-Dimensional Symmetry |
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293 | (3) |
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Generalized Moller-Wu-Lee Transformations Based on the Limiting 4-Dimensional Symmetry |
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296 | (4) |
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Minimal Generalization of the Lorentz Transformations --- the Wu Transformations |
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300 | (4) |
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Dynamics of Classical and Quantum Particles in Non-Inertial Frames with the Limiting 4-Dimensional Symmetry |
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304 | (23) |
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Classical Electrodynamics in Constant-Linear-Acceleration Frames |
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304 | (3) |
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Quantum Particles and Dirac's Equation in CLA Frame |
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307 | (2) |
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Stability of Atomic Levels Against Constant Accelerations |
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309 | (3) |
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Electromagnetic Fields Produced by a Charge with Constant Linear Acceleration |
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312 | (8) |
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Covariant Randiative Reaction Force in Special Relativity and Common Relativity, and Conservation Laws for Radiations |
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320 | (7) |
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Experimental Tests of Generalized Lorentz Transformations for Constant-Linear-Acceleration Frames |
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327 | (9) |
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Tests of Physical Time in Non-Inertial Frames |
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327 | (3) |
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Experiments of Accelerated Decay-Length Dilatation and the Limiting 4-Dimensional Symmetry |
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330 | (3) |
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Experiments on Wu-Doppler Effects of Waves Emitted from Accelerated Atoms |
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333 | (3) |
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Quantizations of Scalar, Spinor and Electromagnetic Fields in Constant-Linear-Acceleration Frames |
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336 | (19) |
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Scalar Fields in Constant-Linear-Accelerations Frames |
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336 | (3) |
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Quantization of Scalar Fields in CLA Frames |
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339 | (6) |
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Quantization of Spinor Fields in CLA Frames |
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345 | (6) |
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Quantization of the Electromagnetic Field in CLA Frames |
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351 | (4) |
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Taiji Rotational Transformations with the Limiting 4-Dimensional Symmetry |
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355 | (13) |
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A Smooth Connection of Rotational and Inertial Frames |
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355 | (1) |
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Taiji Rotational Transformations with the Limiting 4-Dimensional Symmetry |
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356 | (3) |
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Physical Properties of Taiji Rotational Transformations |
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359 | (2) |
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The Metric Tensors for Rotating Frames |
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361 | (2) |
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The Invariant Action for Electromagnetic Fields and Charged Particles in Roting Frames and Truly Universal Constants |
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363 | (1) |
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The 4-Momentum and `Lifetime Dilatation' of a Particle at Rest in a Rotating Frame |
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364 | (4) |
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368 | (4) |
Appendix A Noether's Theorem in Both Linearly Accelerated and Inertial Frames |
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372 | (12) |
Appendix B Quantum Electrodynamics in Both Linearly Accelerated and Inertial Frames |
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384 | (12) |
Appendix C De Sitter and Poincare Gauge-Invariant Fermion Lagrangians and Gravity |
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396 | (7) |
Appendix D The Relativity of Lifetime Dilatation and an Experimental Test of ``Twin Particles'' Involving Linear Accelerations |
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403 | (10) |
Name Index |
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413 | (2) |
Subject Index |
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415 | |