The Hafele-Keating experiment, velocity and length interval transformations and resolution of the Ehrenfest paradox
arXiv:1405.5174
Abstract
A relativistic analysis based on the paths, in a non-rotating frame comoving with the centroid of the Earth, of clocks carried by aircraft circumnavigating the Earth in different directions, as in the Hafele-Keating experiment, predicts time differences between airborne and Earth-bound clocks at variance with the results of the experiment. The latter imply new relativistic velocity transformations differing from the conventional ones. These transformations demonstrate in turn the invariance of length intervals on the surface of the rotating Earth and so resolve the Ehrenfest paradox for this case.
6 pages
References in corpus (6)
- Clock rates, clock settings and the physics of the space-time Lorentz transformation
- Translational invariance and the space-time Lorentz transformation with arbitrary spatial coordinates
- Spatially-separated synchronised clocks in the same inertial frame: Time dilatation, but no relativity of simultaneity or length contraction
- The physics of space and time III: Classification of space-time experiments and the twin paradox
- Primary and reciprocal space-time experiments, relativistic reciprocity relations and Einstein's train-embankment thought experiment
- Langevin's `Twin Paradox' paper revisited