Light Propagation on a Moving Closed Contour and the Role of Simultaneity in Special Relativity



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Submitted Jul 29, 2021
Published Aug 30, 2021
10.24018/ejphysics.2021.3.4.99

Abstract viewed = 302 times

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We consider an example of a moving closed contour and the role played by simultaneity in the description of light propagation on the contour's moving sections. We show that, when constrained to propagate along the contour, the local speed of light on a moving section is no longer arbitrary and a consistent description requires conservation of simultaneity.

Keywords: Einstein synchronization, light propagation, one-way speed of light, relative simultaneity, Sagnac effect

References

  1. R. D. Klauber, "Comments regarding recent articles on relativistically rotating frames", Am. J. Phys. 67(2), 158-159,1999; "Anomalies in Relativistic Rotation", Journal of Scientific Exploration, 16, 603-620, 2002.
     Google Scholar
  2. G. Spavieri, G. T. Gillies, E. Gaarder Haug, and A. Sanchez, "Light propagation and local speed in the linear Sagnac effect," Journal of Modern Optics, Open Access, nov. 2019; "The Sagnac effect and the role of simultaneity in relativity theory", Journal of Modern Optics, Open Access, feb. 2021.
     Google Scholar
  3. F. Selleri, "Noninvariant one-way velocity of light", Found. Phys. 26, 641, 1996; “Noninvariant One-Way Speed of Light and Locally Equivalent Reference Frames,” Found. Phys. Lett. 10, 73—83, 1997.
     Google Scholar
  4. R. Lundberg, "Critique of the Einstein clock variable", Phys. Essays 32, 237, 2019; "Travelling light", Journal of Modern Optics, 68:14, 717-741, 2021, DOI: 10.1080/09500340.2021.1945154
     Google Scholar
  5. J. H. Field, "The Sagnac Effect and Transformations of Relative Velocities Between Inertial Frames" Fund. J. Modern Phys., Vol. 10, Issue 1: 1-30, 2017.
     Google Scholar
  6. S. J. G. Gift, " On the Selleri Transformations: Analysis of Recent Attempts by Kassner to Resolve Selleri’s Paradox," Applied Physics Research, Vol. 7, No. 2, 2015.
     Google Scholar
  7. G. B. Malykin, "The Sagnac effect: correct and incorrect explanations", Physics — Uspekhi, 43 (12) 1229-1252, 2000.
     Google Scholar
  8. S. Hajra, "Spinning Earth and its Coriolis effect on the circuital light beams: Verification of the special relativity theory", Pramana — J. Phys., Indian Academy of Sciences, 87:71, 2016. DOI 10.1007/s12043-016-1288-5.
     Google Scholar
  9. Edward T. Kipreos and Riju S. Balachandran, "An approach to directly probe simultaneity", Modern Physics Letters A, Vol. 31, No. 26, 1650157, 2016; "Assessment of the relativistic rotational transformations", Modern Physics Letters A, Vol. 36, No. 16, 2150113, 2021.
     Google Scholar
  10. L. D. Landau and E. M. L. Lifshitz, The Classical Theory of Fields, Vol. 2, 236, Pergamon Press, Second English edition, 1962.
     Google Scholar
  11. G. Sagnac, "L’éther lumineux démotré par l’effet du vent relatif d’éther dans un intertféromètre en rotation uniforme," C. R. Acad. Sci., 157, 708—710, 1913.
     Google Scholar
  12. E. J. Post, "Sagnac Effect", Rev. Mod. Phys. 39(2), 475-493, 1967.
     Google Scholar
  13. R. Mansouri, and R. U. Sexl, "A test theory of special relativity," Gen. Rel. Grav., 8: 497, 515, 809, 1977.
     Google Scholar
  14. R. de Abreu, and V. Guerra, "On the Consistency between the Assumption of a Special System of Reference and Special Relativity," Found. Phys., 36, 1826—1845 (2006); "The principle of relativity and the indeterminacy of special relativity," Eur. J. Phys. 29, 33, 2008.
     Google Scholar
  15. F. R. Tangherlini, "Galilean-Like Transformation Allowed by General Covariance and Consistent with Special Relativity," Nuovo Cimento Suppl., 20, 1, 1961.
     Google Scholar
  16. G. Spavieri, M. Rodriguez, and A. Sanchez, "Thought experiment discriminating Special Relativity from Preferred Frame Theories," J. Phys. Commun. 2, 085009, aug. 2018. doi.org/10.1088/2399-6528/aad5fa
     Google Scholar
  17. R. Wang, Y. Zhengb, A. Yaob, and D. Langley, "Modified Sagnac experiment for measuring travel-time difference between counter-propagating light beams in a uniformly moving fiber," Phys. Lett. A, 312, 7-10, 2003. R. Wang, Y. Zheng, and A. Yao, "Generalized Sagnac Effect", Phys. Rev. Lett. 93(14):143901, 2004.
     Google Scholar
  18. K. Kassner, "Spatial geometry of the rotating disk and its non-rotating counterpart", Am. J. Phys. 80, 772, 2012; "Ways to resolve Selleri’s paradox," Am. J. Phys., 80, 1061, 2012.
     Google Scholar
  19. Chunghyoung Lee, "Simultaneity in cylindrical spacetime," Am. J. Phys. 88, 131, 2020.
     Google Scholar