Space geometry of rotating platforms: an operational approach

Details Space geometry of rotating platforms: an operational approach Space geometry of rotating platforms: an operational approach

2002-07-26

arxiv.org/abs/gr-qc/0207104v2

Found.Phys.32:1525-1556,2002

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

31 pages, LaTeX, 1 eps figure, accepted for publication in Foundations of Physics, revised version with minor changes

Scientific paper

10.1023/A:1020427318877

We study the space geometry of a rotating disk both from a theoretical and operational approach, in particular we give a precise definition of the space of the disk, which is not clearly defined in the literature. To this end we define an extended 3-space, which we call relative space: it is recognized as the only space having an actual physical meaning from an operational point of view, and it is identified as the 'physical space of the rotating platform'. Then, the geometry of the space of the disk turns out to be non Euclidean, according to the early Einstein's intuition; in particular the Born metric is recovered, in a clear and self consistent context. Furthermore, the relativistic kinematics reveals to be self consistent, and able to solve the Ehrenfest's paradox without any need of dynamical considerations or ad hoc assumptions.

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