中文

Lengths on rotating platforms

经典物理 2009-10-31 v2 广义相对论与量子宇宙学 物理教育

摘要

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.

关键词

引用

@article{arxiv.physics/9808001,
  title  = {Lengths on rotating platforms},
  author = {Angelo Tartaglia},
  journal= {arXiv preprint arXiv:physics/9808001},
  year   = {2009}
}

备注

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