Relativity in Rotating Frames: Relativistic Physics in Rotating Reference FramesGuido Rizzi, Matteo Luca Ruggiero Springer Science & Business Media, 31.12.2003 - 456 sivua Even if the subject is a long-standing one, this is the first monograph on this field. On the one hand, this book is intended to give a rather wide review on this field, both in a historical and pedagogical perspective; on the other hand, it aims at critically re-examining and discussing the most controversial issues. For instance, according to some authors the celebrated Sagnac effect is a disproval of the theory of relativity applied to rotating frames; according to others, it is an astonishing experimental evidence of the relativistic theory. In order to give the reader a deeper insight into this research field, the contributing authors discuss their opinions on the main subjects in an enthralling virtual round table: in this way, the reader can get a direct comparison of the various viewpoints on the most controversial and interesting topics. This is particularly expedient, since the differences in the various approaches are often based upon subtleties that can be understood only by a direct comparison of the underlying hypotheses. |
Sisältö
UNIFORM ROTATION OF RIGID BODIES AND THE THEORY OF RELATIVITY | 3 |
THE EXISTENCE OF THE LUMINIFEROUS ETHER DEMONSTRATED BY MEANS OF THE EFFECT OF A RELATIVE ETHER WIND IN AN ... | 5 |
2 Optical vortex effect | 6 |
PAPERS | 9 |
THE SAGNAC EFFECT IN THE GLOBAL POSITIONING SYSTEM | 11 |
2 Local Inertial Frames | 12 |
3 The GPS | 13 |
4 Relativity of Simultaneity | 15 |
5 Conclusions | 204 |
SpaceTime Splitting and Cattaneos Approach | 205 |
INERTIAL FORCES THE SPECIAL RELATIVISTIC ASSESSMENT | 221 |
2 Inertial forces in classical mechanics | 223 |
3 Inertial forces geometrized | 229 |
4 Application to rotating observers in Minkowski spacetime | 233 |
5 Conclusions | 236 |
Adapted spacetime frames | 237 |
5 Time Transfer with the GPS | 18 |
6 GPS Navigation Equations and the ECEF Frame | 20 |
7 Sagnaclike effects due to rotation of the ECEF frame | 25 |
8 Summary | 27 |
SPACE TIME AND COORDINATES IN A ROTATING WORLD | 29 |
2 The rotating frame of reference | 31 |
3 Rods and clocks | 32 |
4 Space and time without rods and clocks | 33 |
5 Accelerating measuring devices | 35 |
6 Space and time in the rotating frame | 37 |
7 Simultaneity slow clock transport and conventionality | 38 |
8 The rotating Ehrenfest cylinder | 40 |
THE HYPOTHESIS OF LOCALITY AND ITS LIMITATIONS | 43 |
2 Background | 45 |
3 Length measurement | 47 |
4 Discussion | 53 |
Null acceleration | 54 |
SAGNAC EFFECT END OF THE MYSTERY | 57 |
2 The Sagnac Correction on the Earth Surface | 60 |
3 Rotating Platforms | 63 |
4 Absolute simultaneity in inertial systems | 67 |
5 The impossible defense of orthodoxy | 69 |
6 New proofs of absolute simultaneity | 71 |
A The Equivalent Transformations | 73 |
B The Inertial Transformations | 74 |
SYNCHRONIZATION AND DESYNCHRONIZATION ON ROTATING PLATFORMS | 79 |
1 Introduction | 80 |
2 The many choices of synchronization in a physical reference frame | 84 |
3 Sagnac effect and its universality | 89 |
5 The timelag as an observable desynchronization | 92 |
6 Exploiting Selleri gauge freedom | 97 |
7 Conclusions | 99 |
Appendix | 100 |
TOWARD A CONSISTENT THEORY OF RELATIVISTIC ROTATION | 103 |
1 Traditional Analysis Conundrums | 104 |
Differential Geometry and Nontimeorthogonality | 114 |
3 Experiment and Nontimeorthogonal Analysis | 122 |
Deriving Sagnac Result from the Lab Frame | 129 |
ELEMENTARY CONSIDERATIONS OF THE TIME AND GEOMETRY OF ROTATING REFERENCE FRAMES | 139 |
2 Time synchronization on rotating systems | 140 |
3 Time and space coordinates on a rotating disk | 142 |
4 Paradoxes | 146 |
5 Synchronization and the Brillet and Hall experiment | 149 |
6 Conclusion | 151 |
LOCAL AND GLOBAL ANISOTROPY IN THE SPEED OF LIGHT | 155 |
2 Light Speed Locality and Lorentzinvariance | 157 |
3 The Byl et al Experiment | 158 |
4 The Byl et al Experiment Revisited | 159 |
5 Discussion | 162 |
6 Concluding Remarks | 164 |
ISOTROPY OF THE VELOCITY OF LIGHT AND THE SAGNAC EFFECT | 167 |
2 The rotating disk and the Sagnac effect | 169 |
3 Measurement of relative speeds in Minkowski spacetime | 171 |
4 Equivalent formulation of the problem | 172 |
5 Reduction to the Minkowskian plane | 174 |
6 Concluding remarks | 177 |
THE RELATIVISTIC SAGNAC EFFECT TWO DERIVATIONS | 179 |
2 A little historical review of the Sagnac effect | 181 |
Sagnac effect for material and light particles | 185 |
4 The Sagnac effect from an analogy with the AharonovBohm effect | 196 |
EPPUR SI MUOVE | 241 |
1 Galilean frames of reference | 242 |
2 Uniformly rotating frames of reference | 247 |
3 The Wilson and Wilson experiment | 254 |
4 The MichelsonMorley experiment | 258 |
DOES ANYTHING HAPPEN ON A ROTATING DISK? | 261 |
2 Posing and defining the problem | 262 |
3 Local measurements | 263 |
4 Global measurements | 266 |
5 Conclusion | 271 |
PROPER COORDINATES OF NONINERTIAL OBSERVERS AND ROTATION | 275 |
2 Application to rotation | 279 |
Appendix | 282 |
SPACE GEOMETRY IN ROTATING REFERENCE FRAMES A HISTORICAL APPRAISAL | 285 |
2 The discussion of 1910 and 1911 in Physikalische Zeitschrift | 286 |
3 Einsteins realization that the geometry on the rotating disk is non Euclidean | 288 |
4 Spatial geodesies on the rotating disk | 297 |
5 Relativity of simultaneity and coordinates in rotating frames | 298 |
6 What is the effect of the Lorentz contraction upon a disk that is put into rotation? | 301 |
7 Curved space and discussion of Einsteins and kddmgions analysis of the rotating disk | 305 |
8 Uniform contra rigid rotation | 306 |
9 Relativistically rigid motion and rotation | 307 |
10 The theory of elastic media applied to the rotating disk | 309 |
11 The metric in a rotating frame as solution of Einsteins field equations | 314 |
12 Kinematical solution of Ehrenfests paradox | 315 |
13 Energy associated with tangential stress in a rotating disk | 316 |
14 A rotating disk with angular acceleration | 318 |
15 A rolling disk | 320 |
16 The rotating disk and the Thomas precession | 323 |
17 Contracted rotating disk | 324 |
18 Conclusion | 326 |
QUANTUM PHYSICS IN INERTIAL AND GRAVITATIONAL FIELDS | 335 |
2 Quantum phases | 336 |
3 Inertial fields in particle accelerators | 344 |
4 Maximal acceleration | 350 |
5 Conclusions | 355 |
QUANTUM MECHANICS IN A ROTATING FRAME | 361 |
2 Lorentz and Galilei transformations in Quantum Mechanics | 362 |
3 Non Relativistic Aspects of the Rotating Frame | 364 |
4 Relativistic Aspects of the Rotating Frame | 366 |
5 Conclusion | 367 |
Conventions and Notations | 368 |
| 369 | |
ON ROTATING SPACETIMES | 371 |
2 A rotating spacetime | 372 |
3 Basic measurements | 373 |
4 The radial motion | 374 |
5 The timelike geodesic motion | 376 |
6 The behaviour of light | 377 |
7 Conclusions | 379 |
ROUND TABLE | 381 |
I Dialogue on the velocity of light in a rotating frame | 383 |
II Dialogue on synchronization and Sagnac effect | 396 |
III Dialogue on the measurement of lengths in a rotating frame | 411 |
IV Dialogue on the BrilletHall experiment | 432 |
V Dialogue on quantum effects in rotating systems | 438 |
VI Dialogue on non uniform motions and other details about Klaubers and Selleris challenges | 443 |
| 449 | |
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Relativity in Rotating Frames: Relativistic Physics in Rotating Reference Frames Guido Rizzi,Matteo Luca Ruggiero Esikatselu ei käytettävissä - 2014 |
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Yleiset termit ja lausekkeet
acceleration analysis angular velocity anisotropy axis beams Born rigid Brillet Brillet and Hall Chairman circumference clocks co-moving components congruence consider constant coordinate system curvature defined direction discussion ECEF Einstein synchronization equation experiment field frame of reference gauge geodesic geometry global gravitational Grøn hypothesis of locality inertial frame inertial observer inertial systems invariant isotropic kinematical Klauber LCIF length Lett Lorentz contraction Lorentz factor Lorentz transformation measuring rods meter sticks metric Minkowski motion non-inertial particle photon Phys physical proper quantum radial radius reference frame relativistic Relativity in Rotating relativity of simultaneity respect rest frame result Rizzi rotating disk rotating frame rotating observers rotating platform rotating system Ruggiero Sagnac effect Selleri Serafini signal simultaneity space-time spatial special relativity speed of light standard rod synchrony choice tangent Tartaglia tensor theory of relativity tion vector velocity of light world-lines