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Rotating frames in special relativity analyzed in light of a recent article by M. Strauss

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Abstract

The argument of Einstein for non-Euclidity on a rotating disk is analyzed and found valid. The kinematic reason for the non-Euclidean geometry is stated explicitly and provides a kinematic resolution of Ehrenfest's paradox. The transformation from an inertial frameK to a rotating frame, the axis of which is at rest inK, is discussed. It is concluded in favor of the Galilean-like transformation employed by Møller. The method used by Møller in obtaining the intrinsic spatial geometry in any frame is examined. It is found to be adequate, provided that only coordinates with a proper metrical significance are used. In this connection the distinction between global and local geometry is found to be essential.

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References

  • Arzeliès, H. (1956).Relativistic Kinematics, Pergamon Press, New York.

    Google Scholar 

  • Brillouin, L. (1970).Relativity Reexamined, Academic Press, New York.

    Google Scholar 

  • Einstein, A. (1921).The Meaning of Relativity, Princeton University Press, Princeton, New Jersey.

    Google Scholar 

  • Franklin, P. (1922).Proceedings of the National Academy of Sciences of the United States of America,8, 265.

    Google Scholar 

  • Grøn, Ø. (1975).American Journal of Physics,43, 869.

    Google Scholar 

  • Landau, D., and Lifschitz, E. M. (1971).The Classical Theory of Fields, Pergamon Press, New York.

    Google Scholar 

  • Møller, C. (1952).The Theory of Relativity, Clarendon Press, Oxford.

    Google Scholar 

  • Newburgh, R. G. (1974).Nuovo Cimento.,23B, 365.

    Google Scholar 

  • Phipps, Jr. T. E. (1974).Nuovo Cimento Letters,9, 467.

    Google Scholar 

  • Post, E. J. (1967).Reviews of Modern Physics,39, 475.

    Google Scholar 

  • Strauss, M. (1974).International Journal of Theoretical Physics,11, 107.

    Google Scholar 

  • Takeno, H. (1952).Progress in Theoretical Physics,7, 367.

    Google Scholar 

  • Taylor, E. F., and Wheeler, J. A. (1966).Spacetime Physics, W. H. Freeman and Company, San Francisco, Sec. 9.

    Google Scholar 

  • Trocheries, M. G. (1949).Philosophical Magazine,40, 1143.

    Google Scholar 

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  1. St. Georgs vei 6, Oslo 2, Norway

    Øyvind Grøn

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  1. Øyvind Grøn
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Grøn, Ø. Rotating frames in special relativity analyzed in light of a recent article by M. Strauss. Int J Theor Phys 16, 603–614 (1977). https://doi.org/10.1007/BF01811093

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  • DOI: https://doi.org/10.1007/BF01811093

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