Lengths on rotating platforms
Abstract
The paper treats the issue of the length of a rotating circumference as seen from on board the moving disk and from an inertial reference frame. It is shown that, properly defining a measuring process, the result is in both cases 2piR thus dissolving the Ehrenfest paradox. The same holds good when considering that, for the rotating observer, the perceived radius coincides with the curvature radius of a space-time helix and a complete round trip corresponds to an angle which differs from the one seen by the inertial observer. The apparent contradiction with the Lorentz contraction is discussed.
Cite
@article{arxiv.physics/9808001,
title = {Lengths on rotating platforms},
author = {Angelo Tartaglia},
journal= {arXiv preprint arXiv:physics/9808001},
year = {2009}
}
Comments
14 pages, 2 figures. RevTex. To be published in Foundations of Physics. Section on the metric on the disk will become a separate paper, now it has been dropped. Typos corrected, references added