Space geometry of rotating platforms: an operational approach

dc.creatorRizzi, Guido
dc.creatorRuggiero, Matteo Luca
dc.date2002-07-26
dc.date2002-09-13
dc.date.accessioned2026-07-07T11:29:57Z
dc.date.available2026-07-07T11:29:57Z
dc.descriptionWe 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.
dc.description31 pages, LaTeX, 1 eps figure, accepted for publication in Foundations of Physics, revised version with minor changes
dc.identifierhttps://arxiv.org/abs/gr-qc/0207104
dc.identifierhttp://arxiv.org/abs/gr-qc/0207104
dc.identifierFound.Phys.32:1525-1556,2002
dc.identifierdoi:10.1023/A:1020427318877
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/196883
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleSpace geometry of rotating platforms: an operational approach
dc.typetext

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