- Title Pages
- Preface
- 1 Introduction
- 2 Observers and time
- 3 Subjective images of time
- 4 Cultural images of time
- 5 Literary images of time
- 6 Objective images of time
- 7 Mathematical images of time
- 8 Illusionary images of time
- 9 Causal images of time
- 10 Physics and time
- 11 Biological time
- 12 The dimensions of time
- 13 The architecture of time
- 14 Absolute time
- 15 The reparametrization of time
- 16 Origins of relativity
- 17 Special relativity
- 18 Generalized transformations
- 19 General relativistic time
- 20 Time travel
- 21 Imaginary time
- 22 Irreversible time
- 23 Discrete time
- 24 Time and quanta
- 25 Temporal correlations
- 26 Time reversal
- 27 Quantized spacetime
- 28 Epilogue
- Appendix
- Bibliography
- Index
Generalized transformations
Generalized transformations
- Chapter:
- (p.187) 18 Generalized transformations
- Source:
- Images of Time
- Author(s):
George Jaroszkiewicz
- Publisher:
- Oxford University Press
This chapter discusses an interpretation of the Michelson-Morley experiment null result in terms of generalized transformations. In contrast to the assumption in Einstein’s special relativity that light has the same speed in all directions, generalized transformations do not make this assumption. Following Tangherlini, the chapter shows how to set up generalized inertial frame transformations that are consistent with the Michelson-Morley experiment and still preserve absolute simultaneity. The chapter emphasizes the role of experimental protocol, or procedure for synchronizing frames of reference and subsequently taking measurements. It discusses ‘split causality’, a proposed experimental test that could in principle decide between Einstein-Lorentz synchronization and Tangherlini’s alternative. The chapter concludes with some comments on empirical searches for a preferred frame of reference.
Keywords: generalized transformations, Tangherlini, experimental protocol, absolute simultaneity, Einstein-Lorentz synchronization, split causality, preferred frame
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- Title Pages
- Preface
- 1 Introduction
- 2 Observers and time
- 3 Subjective images of time
- 4 Cultural images of time
- 5 Literary images of time
- 6 Objective images of time
- 7 Mathematical images of time
- 8 Illusionary images of time
- 9 Causal images of time
- 10 Physics and time
- 11 Biological time
- 12 The dimensions of time
- 13 The architecture of time
- 14 Absolute time
- 15 The reparametrization of time
- 16 Origins of relativity
- 17 Special relativity
- 18 Generalized transformations
- 19 General relativistic time
- 20 Time travel
- 21 Imaginary time
- 22 Irreversible time
- 23 Discrete time
- 24 Time and quanta
- 25 Temporal correlations
- 26 Time reversal
- 27 Quantized spacetime
- 28 Epilogue
- Appendix
- Bibliography
- Index