Foundations of Physics

, Volume 6, Issue 5, pp 613–620 | Cite as

Mach's principle, relative motion, and fundamental numbers of physics

  • R. E. Eaves


Mach's principle is discussed as a fundamental statement on kinematics, and an apparent contradiction is identified in the Lorentz-Minkowski form of the inertial metric. To resolve the incompatibility, length is redefined so that the speed of light is a field-dependent variable, although still constant for all inertial observers at a point in space-time. Gravitational theories with variableG are considered, and it is shown that a redefinition of length and time results in constantG and variablec.


Relative Motion Apparent Contradiction Gravitational Theory Fundamental Statement Inertial Observer 
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  1. 1.
    George Berkeley,De Motu, inThe Works of George Berkeley Bishop of Cloyne, A. A. Luce, ed. (Nelson, New York, 1951), Vol. 4.Google Scholar
  2. 2.
    E. Mach,The Science of Mechanics (Open Court, La Salle, Illinois, 1973).Google Scholar
  3. 3.
    W. de Sitter,Proc. Akad. Wetensch. Amsterdam 19, 1217 (1971).Google Scholar
  4. 4.
    J. F. Woodward and W. Yourgrau,Brit. J. Phil. Sci. 23, 111 (1972).Google Scholar
  5. 5.
    C. Brans and R. H. Dicke,Phys. Rev. 124, 925 (1961).Google Scholar
  6. 6.
    A. Grünbaum,Philosophical Problems of Space and Time (Reidel, Boston, 1973).Google Scholar
  7. 7.
    E. A. Milne,Kinematic Relativity (Clarendon, Oxford, 1948).Google Scholar
  8. 8.
    W. de Sitter,The Astronomical Aspect of the Theory of Relativity (Univ. Cal. Pub. 2, Berkeley, 1933), p. 185.Google Scholar
  9. 9.
    C. Gilbert,M. N. Roy. Astron. Soc. 116, 684 (1956).Google Scholar
  10. 10.
    P. A. M. Dirac,Proc. R. Soc. Lond. A338, 439 (1974).Google Scholar
  11. 11.
    P. A. M. Dirac,Proc. R. Soc. Lond. A165, 199 (1938).Google Scholar
  12. 12.
    G. Gamow,Phys. Rev. Lett. 19, 759 (1967).Google Scholar
  13. 13.
    E. J. Post,Ann. Phys. 70, 507 (1972).Google Scholar

Copyright information

© Plenum Publishing Corporation 1976

Authors and Affiliations

  • R. E. Eaves
    • 1
  1. 1.Division of EngineeringBrown UniversityProvidence

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