2002/07/31 by Guido Rizzi, Matteo Luca Ruggiero · 3 citations
Engineering · Physics and Astronomy · #Advanced Differential Geometry Research #Geophysics and Sensor Technology #Relativity and Gravitational Theory #gr-qc
paper · pdf · doi:10.1023/a:1020427318877
published as Found.Phys.32:1525-1556,2002 · 31 pages, LaTeX, 1 eps figure, accepted for publication in Foundations of Physics, revised version with minor changes
arxiv created 2002/09/13 · openalex publication_date 2002/10/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
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.