| Preface |
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vii | |
| Notations and Conventions |
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x | |
| Introduction |
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1 | (10) |
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Part I Galilean and special relativity |
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1 Classical special relativity |
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11 | (36) |
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1.1 Foundations of special relativity |
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11 | (12) |
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1.2 General motions in special relativity |
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23 | (13) |
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1.3 Canonical proper-time dynamics |
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36 | (6) |
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1.4 Conformal space-time diagrams |
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42 | (5) |
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2 Quantum mechanics, classical, and special relativity |
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47 | (54) |
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2.1 Fundamentals of quantum mechanics |
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47 | (26) |
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2.2 Quantum mechanics and statistics |
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73 | (11) |
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2.3 Quantum mechanics and gravity |
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84 | (12) |
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2.4 Thermal properties of acceleration |
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96 | (5) |
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3 Microscopic formulations of particle interactions |
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101 | (38) |
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3.1 Non-perturbative scattering theory |
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104 | (2) |
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3.2 Faddeev formulation of scattering theory |
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106 | (4) |
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3.3 Unitarity, Poincare covariance, and cluster decomposability |
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110 | (18) |
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128 | (11) |
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4 Group theory in quantum mechanics |
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139 | (66) |
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4.1 Quantum mechanics and the Galilean group |
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139 | (5) |
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4.2 Quantization conditions on gauge fields |
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144 | (4) |
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4.3 Quantum mechanics and special relativity |
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148 | (30) |
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4.4 Particles and the Poincare group |
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178 | (27) |
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Part II General relativity |
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5 Fundamentals of general relativity |
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205 | (40) |
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5.1 From special to general relativity |
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205 | (15) |
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220 | (8) |
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5.3 Time-independent spherically symmetric solutions |
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228 | (13) |
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5.4 An axially stationary rotating geometry |
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241 | (4) |
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6 Quantum mechanics in curved space-time backgrounds |
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245 | (22) |
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6.1 Quantum coherence and gravity |
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245 | (4) |
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6.2 Lagrangian dynamics of quantum systems |
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249 | (7) |
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256 | (11) |
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7 The physics of horizons and trapping regions |
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267 | (42) |
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7.1 Static horizons in Rindler, Schwarzschild, and radially stationary geometries |
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269 | (12) |
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7.2 Dynamic spherically symmetric black holes |
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281 | (6) |
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7.3 Macroscopic co-gravitation of quanta |
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287 | (7) |
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7.4 Temporally transient black objects |
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294 | (15) |
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309 | (36) |
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8.1 A synopsis of Big Bang cosmology |
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309 | (7) |
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8.2 Dynamic de Sitter cosmology |
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316 | (14) |
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8.3 Co-gravitating quanta on dynamic cosmology |
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330 | (2) |
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8.4 Cosmological fluctuations |
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332 | (6) |
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338 | (7) |
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9 Gravitation of interacting systems |
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345 | (12) |
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345 | (5) |
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9.2 Self-gravitating charged canonical proper-time systems |
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350 | (1) |
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9.3 Gravitation of interacting spinors |
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351 | (6) |
Appendix A Addendum for
Chapter 1 |
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357 | (8) |
Appendix B Addendum for
Chapter 2 |
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365 | (4) |
Appendix C Addendum for
Chapter 3 |
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369 | (4) |
Appendix D Addendum for
Chapter 4 |
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373 | (10) |
Appendix E Addendum for
Chapter 5 |
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383 | (4) |
Appendix F Addendum for
Chapter 7 |
|
387 | (2) |
Appendix G Addendum for
Chapter 8 |
|
389 | (2) |
| References |
|
391 | (6) |
| Index |
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397 | |
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