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General Relativity and Quantum Cosmology 
(gr-qc) 
[Submitted on 29 Mar 2004] 
Title: Sagnac effect, twin paradox and space-time topology - Time and length in rotating systems and closed Minkowski space-times 
Authors: Olaf Wucknitz (Universitaet Potsdam) 
Download a PDF of the paper titled Sagnac effect, twin paradox and space-time topology - Time and length in rotating systems and closed Minkowski space-times, by Olaf Wucknitz (Universitaet Potsdam) 
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    Abstract: We discuss the Sagnac effect in standard Minkowski coordinates and with an alternative synchronization convention. We find that both approaches lead to the same result without any contradictions. When applying standard coordinates to the complete rim of the rotating disk, a time-lag has to be taken into account which accounts for the global anisotropy. We propose a closed Minkowski space-time as an exact equivalent to the rim of a disk, both in the rotating and non-rotating case. In this way the Sagnac effect can be explained as being purely topological, neglecting the radial acceleration altogether. This proves that the rim of the disk can be treated as an inertial system. In the same context we discuss the twin paradox and find that the standard scenario is equivalent to an unaccelerated version in a closed space-time. The closed topology leads to preferred frame effects which can be detected only globally. The relation of synchronization conventions to the measurement of lengths is discussed in the context of Ehrenfest's paradox. This leads to a confirmation of the classical arguments by Ehrenfest and Einstein.  
 
Comments: 	31 pages, 10 (mostly color) figures included. revtex4. Submitted to Foundations of Physics 
Subjects: 	General Relativity and Quantum Cosmology (gr-qc) ; Astrophysics (astro-ph) 
Cite as: 	arXiv:gr-qc/0403111 
  	(or arXiv:gr-qc/0403111v1 for this version) 
  	https://doi.org/10.48550/arXiv.gr-qc/0403111 
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arXiv-issued DOI via DataCite 
Submission history 
From: Olaf Wucknitz [ view email ] 
[v1] Mon, 29 Mar 2004 16:50:45 UTC (68 KB) 
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