Tachyons, Causality, and Rotational Invariance
- 15 October 1973
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review D
- Vol. 8 (8), 2352-2360
- https://doi.org/10.1103/physrevd.8.2352
Abstract
We extend the previously developed one-dimensional causal theory of tachyons to three dimensions. The result is a three-dimensional theory of interacting tachyons in which coordinates in reference frames with subluminal relative velocity are related by the Lorentz transformations, and in which no paradoxes involving causal loops can arise. The resulting theory involves a preferred spatial direction and preferred velocity perpendicular to that direction, so that physical laws governing tachyons are not invariant under rotations or proper Lorentz transformations. This lack of invariance should manifest itself even in processes involving only bradyons, to the extent that coupling to virtual tachyons is important. We discuss the limits which experimental evidence on the validity of rotational invariance places on tachyon couplings in the theory and possible additional experiments for searching for lack of such invariance. In general the limits which existing evidence for rotational invariance places on tachyon couplings in our theory are much less stringent than the very low limits on tachyon coupling strengths which were obtained in a recent experimental analysis of Danburg and Kalbfleisch; we propose a possible mechanism which might allow tachyon couplings of a reasonable magnitude without producing observable effects in the experiments considered by these authors.Keywords
This publication has 21 references indexed in Scilit:
- Limits on the Rate of Emission of Negative-Energy TachyonsPhysical Review D, 1972
- Quasars Revisited: Rapid Time Variations Observed Via Very-Long-Baseline InterferometryScience, 1971
- Search for Ionizing Tachyon Pairs FromInteractionsPhysical Review D, 1971
- Search for tachyons in the cosmic radiationLettere al Nuovo Cimento (1971-1985), 1971
- Gravitational Radiation ExperimentsPhysical Review Letters, 1970
- Search for Uncharged Faster-than-Light ParticlesPhysical Review D, 1970
- Search for Faster-Than-Light ParticlesPhysical Review B, 1969
- Evidence for Discovery of Gravitational RadiationPhysical Review Letters, 1969
- Quest for Faster-Than-Light ParticlesPhysical Review B, 1968
- “Meta” RelativityAmerican Journal of Physics, 1962