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The Relativistic Clock Problem

E. L. Hill

  • Department of Physics, University of Minnesota, Minneapolis, Minnesota

Phys. Rev. 72, 236 – Published 1 August, 1947

DOI: https://doi.org/10.1103/PhysRev.72.236

Abstract

The theory of uniformly accelerated motions based on the conformal group of transformations in space-time is applied to the clock problem of relativity theory. Two solutions are found, both of which are at variance with the usual theory. The bearing of the problem on the relation between mechanics and electromagnetic theory is discussed briefly.

References (10)

  1. A. Einstein, Ann. d. Physik [4] 35, 898 (1911)
  2. R. C. Tolman, Relativity, Thermodynamics and Cosmology (Oxford University Press, New York, 1934), p. 192
  3. C. Møller, Det. Kgl. Danske Videnskabernes Selskab, Matematisk-Fysiske Meddelelser, Bind XX, Nr. 19 (1943)
  4. E. L. Hill, Phys. Rev. 67, 358 (1945) ibid.72, 143 (1947)
  5. Omitted endnote

  6. E. L. Hill, Phys. Rev. 68, 232L (1945)
  7. [4] J. E. Campbell, Theory of Continuous Groups (Oxford University Press, New York, 1903), p. 47 L. P. Eisenhart, Continuous Groups of Transformations (Princeton University Press, Princeton, New Jersey, 1933), Chapter 1
  8. H. P. Robertson, Phys. Rev. 49, 755 (1936)
  9. L. Infeld and A. Schild, Phys. Rev. 68, 250 (1945) ibid., 70, 410 (1946)
  10. H. Weyl, Space-Time-Matter (Methuen Press, London, 1922) Section 35

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