A Broader View of Relativity: General Implications of Lorentz and Poincare ́ Invariance (Google eBook)

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World Scientific, Jan 1, 2006 - Electronic books - 516 pages
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Contents

Introduction and Overview
3
Space Time and Inertial Frames
12
The Nontrivial Pursuit of Earths Absolute Motion
19
Voigt Lorentz and Larmor
27
The Contributions of Poincare
36
The Novel Creation of the Young Einstein
64
The Central Role of the Principle of Relativity
85
Relativity Based Solely on the Principle of Relativity
87
The Role of the Principle of Relativity in the Physics of Accelerated Frames
265
The Principle of Limiting Lorentz and Poincare Invariance
267
The Principle of Limiting Lorentz and Poincare Invariance
271
Extended Lorentz Transformations for Frames with ConstantLinearAccelerations
284
Physical Properties of Spacetime in Accelerated Frames
297
Extended Lorentz Transformations for Accelerated Frames and a Resolution to the TwoSpaceship Paradox
319
Dynamics of Classical and Quantum Particles in ConstantLinearAcceleration Frames
330
Quantization of Scalar Spinor and Electromagnetic Fields in ConstantLinearAcceleration Frames
356

Common Relativity
100
Experimental Tests I
114
Group Properties of Taiji Relativity and Common Relativity
143
Invariant Actions in Relativity Theories and Truly Universal
158
and Fundamental Constants
168
Common Relativity and ManyBody Systems
170
Common Relativity and the 3K Cosmic Microwave Background
200
Common Relativity and Quantum Mechanics
213
Common Relativity and Fuzzy Quantum Field Theory
225
A Weaker Postulate for the Speed of Light
240
Group and Lie Algebra Properties of Accelerated Spacetime Transformations
378
Coordinate Transformations for Frames with a GeneralLinearAcceleration
389
A Taiji Rotational Transformation with Limiting 4Dimensional Symmetry
402
Epilogue
416
Appendices
423
A Systems of Units and the Development of Relativity Theories
425
B Can One Derive the Lorentz Transformation From Precision Experiments?
441
Quantum Electrodynamics in Inertial and NonInertial Frames D YangMills Gravity with Translation Gauge Symmetry in Inertial and Noninertial Fra...
483
Author Index
509
Copyright

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Page 17 - I will explain to you in a moment, we incline to overlook this fact. There are really four dimensions, three which we call the three planes of Space, and a fourth, Time. There is, however, a tendency to draw an unreal distinction between the former three dimensions and the latter, because it happens that our consciousness moves intermittently in one direction along the latter from the beginning to the end of our lives.
Page 17 - Time. There is no difference between Time and any of the three dimensions of Space except that our consciousness moves along it.
Page 35 - Einstein simply postulates what we have deduced, with some difficulty and not altogether satisfactorily, from the fundamental equations of the electromagnetic field. By doing so, he may certainly take credit for making us see in the negative result of experiments like those of Michelson, Rayleigh and Brace, not a fortuitous compensation of opposing effects, but the manifestation of a general and fundamental principle.
Page 25 - God had laid about the world to allow a sort of philosopher's treasure hunt to the esoteric brotherhood. He believed that these clues were to be found partly in the evidence of the heavens and in the constitution of...
Page 17 - Absolute, true, and mathematical time, of itself, and from its own nature flows equably without relation to anything external...

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