Einstein's Relativity and Beyond: New Symmetry ApproachesThe purposes of this book are (1) to explore and expound relativity physics and four-dimensional symmetry from the logically simplest viewpoint by making one single postulate instead of two; and (2) to indicate the simplest generalization of the Lorentz transformation in order to cope with frames with constant linear acceleration. |
Contents
Part A Historical Background 0 Introduction 1 A Brief Review of Space and Time | 1 |
The Nontrivial Pursuit of Earths Absolute Motion | 2 |
On the Right Track Voigt Lorentz and Larmor | 3 |
Poincarés Contributions and the Aether Past and Present | 4 |
Young Einsteins Novel Creation Based on 2 Postulates | 5 |
A Brief Review of Space and Time | 9 |
Truly Universal Constants and Physical Laws | 10 |
A Weaker Postulate for | 17 |
13b Invariant Hamiltonian Dynamics and Phase Space | 170 |
Common Relativity and Quantum Mechanics | 195 |
Common Relativity and Fuzzy Quantum Field Theory | 207 |
15c Experimental Tests of Possible Approximate | 216 |
Common Relativity and the 3 K Cosmic Background Radiation | 221 |
16c Covariant Thermodynamics | 223 |
A Weaker Postulate for the Speed of Light | 232 |
17d Extended Relativity A 4Dimensional Theory with | 238 |
The Nontrivial Pursuit of Earths Absolute Motion | 19 |
On the Right Track Voigt Lorentz and Larmor | 27 |
Poincarés Contributions and the Aether | 35 |
4d The Concept of an Aether Never Fades Away | 46 |
Young Einsteins Novel Creation Based | 61 |
5d Novel Relative Properties of Space and Time | 68 |
Minkowskis 4Dimensional Spacetime Adjustable Clocks and Flexibility in the Concept of Time | 80 |
Part B 4Dimensional Relativity with a Single Postulate 7 Taiji Relativity Based Solely on 1 Principle the First Principle of Relativity | 87 |
7f Einsteins Time Common Time Reichenbachs Time | 95 |
The Arbitrary Speed of Light in Taiji Relativity and the MichelsonMorley Experiment | 100 |
8b The MichelsonMorley Experiment Supports | 103 |
8d Physical Quantities Measured by Using Taiji Time | 109 |
Lorentz and Poincaré Invariance Without Involving a Constant Corresponding to the Speed of Light | 112 |
9b The Lorentz Group Without Involving | 115 |
Truly Universal Constants and Physical Laws Based on Taiji Relativity | 125 |
10c Diracs Conjecture of Truly Fundamental Constants | 131 |
Quantum Electrodynamics Based on Taiji Relativity and Dilatation of Lifetimes and DecayLengths | 138 |
A Common Time | 148 |
A Common Time for all Observers | 149 |
12e The Symmetry Between Any Two Frames F and F | 154 |
12i Quantum Electrodynamics Based on Common | 162 |
Common Time and ManyParticle Systems in a 4Dimensional Symmetry Framework | 167 |
17f Invariant Action for a Free Particle in Extended | 244 |
Extended Relativity with the Lorentz Group and Lifetime Dilatation | 248 |
18b An Unpassable Limit and NonConstant Speed of Light | 250 |
Physical Implications of Extended Relativity | 256 |
Determination of the Parameters of General Linear Transformations by Precision Experiments | 273 |
Physics in NonInertial Frames with the Limiting 4Dimensional Symmetry 21 Generalized Lorentz Transformations for NonInertial Frames Based on t... | 282 |
21c Mollers Gravitational Approach to Accelerated | 290 |
21e Generalized MollerWuLee Transformations Based | 296 |
Dynamics of Classical and Quantum Particles in NonInertial Frames with the Limiting 4Dimensional Symmetry | 304 |
22d Electromagnetic Fields Produced by a Charge with | 312 |
22e Covariant Radiative Reaction Force in Special | 320 |
Experimental Tests of Generalized Lorentz Transformations for ConstantLinearAcceleration Frames | 327 |
Quantizations of Scalar Spinor and Electromagnetic Fields in ConstantLinearAcceleration Frames | 336 |
24c Quantization of Spinor Fields in CLA Frames | 345 |
24d Quantization of the Electromagnetic Field in | 351 |
Taiji Rotational Transformations with the Limiting 4Dimensional Symmetry | 356 |
25c Physical Properties of Taiji Rotational Transformations | 359 |
Epilogue | 368 |
Appendix B Quantum Electrodynamics in Both Linearly | 384 |
De Sitter and Poincaré GaugeInvariant | 396 |
The Relativity of Lifetime Dilatation and | 403 |
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Einstein's Relativity And Beyond: New Symmetry Approaches Hsin-i Chang,Jong-ping Hsu Limited preview - 2000 |
Common terms and phrases
4-dimensional symmetry framework 4-vector aether atomic chapter charged particle CLA frame clocks common relativity concept coordinate covariant decay-length defined derived dilatation dimension dimensional Dirac discussed Einstein electromagnetic field electron energy equation of motion evolution variable experimental extended relativity F and F F frame formulation four-dimensional symmetry frame F function fundamental fuzzy inertial frame J. P. Hsu Jong-Ping Hsu Lagrangian length Leonardo Hsu Let us consider light signal lightime Lorentz and Poincaré Lorentz group Lorentz transformation mathematical Maxwell's equations measured Michelson-Morley experiment momentum moving non-inertial frames Nuovo Cimento observers obtain photon Phys physical laws physicists Poincaré groups Poincaré-Einstein principle principle of relativity propagation of light quantum electrodynamics quantum field theory Reichenbach's relation relativistic rest in F second postulate space spacetime special relativity speed of light synchronization t₁ taiji relativity taiji transformations taiji-time tensor theory of relativity universal constant usual vacuum wave αγο