The Relative Space: Space Measurements on a Rotating Platform

Details The Relative Space: Space Measurements on a Rotating Platform The Relative Space: Space Measurements on a Rotating Platform

2003-09-03

arxiv.org/abs/gr-qc/0309020v1

Eur.J.Phys.24:563-573,2003

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

14 pages, 2 EPS figures, LaTeX, to appear in the European Journal of Physics

Scientific paper

10.1088/0143-0807/24/6/002

We introduce here the concept of relative space, an extended 3-space which is recognized as the only space having an operational meaning in the study of the space geometry of a rotating disk. Accordingly, we illustrate how space measurements are performed in the relative space, and we show that an old-aged puzzling problem, that is the Ehrenfest's paradox, is explained in this purely relativistic context. Furthermore, we illustrate the kinematical origin of the tangential dilation which is responsible for the solution of the Ehrenfest's paradox.

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