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Foundations of Physics

, Volume 31, Issue 12, pp 1767–1783 | Cite as

Rotating Frames in SRT: The Sagnac Effect and Related Issues

  • W. A. RodriguesJr.
  • M. Sharif
Article

Abstract

After recalling the rigorous mathematical representations in Relativity Theory (RT) of (i) observers, (ii) reference frames fields, (iii) their classifications, (iv) naturally adapted coordinate systems (nacs) to a given reference frame, (v) synchronization procedure and some other key concepts, we analyze three problems concerning experiments on rotating frames which even now (after almost a century after the birth of RT) are sources of misunderstandings and misconceptions. The first problem, which serves to illustrate the power of rigorous mathematical methods in RT, is the explanation of the Sagnac effect (SE). This presentation is opportune because recently there have appeared many non sequitur claims in the literature stating that the SE cannot be explained by SRT, even disproving this theory or claiming that the explanation of the effect requires a new theory of electrodynamics. The second example has to do with the measurement of the one-way velocity of light in rotating reference frames, a problem about which many wrong statements appear in recent literature. The third problem has to do with claims that only Lorentz-like type transformations can be used between the nacs associated with a reference frame mathematically modeling of a rotating platform and the nacs associated with a inertial frame (the laboratory). We show that these claims are equivocal.

Keywords

Coordinate System Reference Frame Mathematical Method Recent Literature Mathematical Representation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Plenum Publishing Corporation 2001

Authors and Affiliations

  • W. A. RodriguesJr.
    • 1
    • 2
  • M. Sharif
    • 3
  1. 1.Institute of Mathematics, Statistics and Scientific ComputationIMECC-UNICAMPCampinas, SPBrazil
  2. 2.Wernher von Braun Advanced Research Center, UNISALCampinas, SPBrazil
  3. 3.Institute of Mathematics, Statistics and Scientific ComputationIMECC-UNICAMPCampinas, SPBrazil

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