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A test theory of special relativity: I. Simultaneity and clock synchronization

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Abstract

The role of convention in various definitions of clock synchronization and simultaneity is investigated. We show that two principal methods of synchronization can be considered: system internal and system external synchronization. Synchronization by the Einstein procedure and by slow clock transport turn out to be equivalent if and only if the time dilatation factor is given by the Einstein result (1−v 2)1/2. An ether theory is constructed that maintains absolute simultaneity and is kinematically equivalent to special relativity.

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References

  1. Thorne, K. S., Lee, D. L., and Lightman, A. P. (1973).Phys. Rev. D,7, 3563.

    Google Scholar 

  2. Will, C. M. (1974).Proc. Int. Sch. Phys. “Enrico Fermi”,LVI.

  3. Frank, P., and Rothe, H. (1911).Ann. Phys. Leipzig,34, 825.

    Google Scholar 

  4. Berzi, V., and Gorini, V. (1969).J. Math. Phys.,10, 1518.

    Google Scholar 

  5. Michelson, A. A. (1904).Phil. Mag.,8, 716.

    Google Scholar 

  6. Schweizer, G. (1904).Phys. Z.,25, 809.

    Google Scholar 

  7. Wien, W. (1904).Phys. Z.,19, 585, 603.

    Google Scholar 

  8. Andrade, J. (1903).Arch. Sci.,16, 611.

    Google Scholar 

  9. Brillouin, M. (1905).Compt. Rend.,140, 1674.

    Google Scholar 

  10. H. Poincaré, (1898).Rev. Metaphys. Morales,6, 1

    Google Scholar 

  11. H. Poincaré (1905). InCongress of Arts and Science, Vol. I:Philosophy and Mathematics, ed. Rogers, J. (George Bruce Halsted, transl.) Boston: Houghton, Mifflin and Co. Reprinted in (1968).Relativity Theory, Its Origin and Impact on Modern Thought, ed. Williams, L. P., John Wiley & Sons, Inc., New York

    Google Scholar 

  12. H. Poincaré (1914).Science and Method, Dover Publications, New York; see also

    Google Scholar 

  13. Goldberg, S. (1967).Am. J. Phys.,35, 934

    Google Scholar 

  14. Schwartz, H. M. (1971).Am. J. Phys.,39, 1287; (1972).40, 862

    Google Scholar 

  15. Miller, A. J. (1973).Archiv for History of Exact Sciences,10, 207.

    Google Scholar 

  16. Einstein, A. (1905).Ann. Phys. Leipzig,17, 891.

    Google Scholar 

  17. Ellis, B., and Bowman, P. (1967).Phil. Sci.,34, 116.

    Google Scholar 

  18. A panel discussion of simultaneity by slow clock transport in the special and general theories of relativity (1969).Phil. Sci.,36, No. 1.

  19. Eddington, A. S. (1924).The Mathematical Theory of Relativity, Cambridge University Press, Cambridge, England.

    Google Scholar 

  20. Mandelshtam, L. C. (1950).Polnae sobranie trudov (complete collected works) Vol. S, Izd. AN SSSR, Moscow.

    Google Scholar 

  21. Reichenbach, H. (1958).The Philosophy of Space and Time, Dover Publications, New York.

    Google Scholar 

  22. Grünbaum, A. (1973).Philosophical Problems of Space and Time, Reidel Publishing Company, Dordrecht/Boston.

    Google Scholar 

  23. Molchanov, Yu. B. (1969).Vremya v Klassicheskoi i relyativistekoi fizike (Time in Classical and Relativistic Physics), Znanie, Moscow.

    Google Scholar 

  24. Ives, H. E. (1948).J. Opt. Soc. Am.,38, 879; (1949).39, 757; (1950).40, 185.

    Google Scholar 

  25. Møller, C. (1957).Suppl. Nuovo Cimento,6, 381.

    Google Scholar 

  26. Winnie, J. A. (1970).Phil. Sci.,37, 81, 223.

    Google Scholar 

  27. See Mansouri, R. and Sexl, R. U. (1977).Gen. Rel. Grav.,8, 515.

    Google Scholar 

  28. Arzelies, H. (1966).Relativistic Kinematics, Pergamon Press, New York.

    Google Scholar 

  29. Eagle, A. (1939).Phil. Mag.,28, 592.

    Google Scholar 

  30. Ives, H. E. (1939).J. Opt. Soc. Am.,29, 472.

    Google Scholar 

  31. Feenberg, E. (1974).Found. Phys.,4, 121.

    Google Scholar 

  32. Süssmann, G. (1969).Z. Naturforsch.,24a, 495.

    Google Scholar 

  33. This transformation has also been considered by Tangherlini, F. R. (1961).Suppl. Nuovo Cimento,20, 1.

    Google Scholar 

  34. Ruderfer, M. (1960).Phys. Rev. Lett.,5, 191; (1960).Proc. IRE,48, 1661; (1962).50, 325.

    Google Scholar 

  35. Erlicson, H. (1973).Am. J. Phys.,41, 1068.

    Google Scholar 

  36. Mansouri, R. and Sexl, R. U. (1977). Paper III, to be published inGen. Rel. Grav.

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Authors and Affiliations

  1. Institut für Theoretische Physik der Universität Wien, Wien, Austria

    Reza Mansouri & Roman U. Sexl

  2. Institut für Weltraumforschung der Österreichischen Akademie der Wissenschaften, Wien, Austria

    Reza Mansouri & Roman U. Sexl

Authors
  1. Reza Mansouri
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  2. Roman U. Sexl
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Mansouri, R., Sexl, R.U. A test theory of special relativity: I. Simultaneity and clock synchronization. Gen Relat Gravit 8, 497–513 (1977). https://doi.org/10.1007/BF00762634

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  • DOI: https://doi.org/10.1007/BF00762634

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