Skip to main content
SpringerLink
Log in

Markov process at the velocity of light: The Klein-Gordon statistic

  • Published:
International Journal of Theoretical Physics Aims and scope Submit manuscript

Abstract

The Markovian random walk of a point at the velocity of light on a two-dimensional invariant space-time lattice is shown to yield the quantum statistic associated with the Klein-Gordon equation. Quantum mechanics thus appears as a particular case of Markovian processes in velocity space: and one justifies the introduction of Dirac's invariant “ether” as a possible physical stochastic subquantum level of matter which yields a realistic mechanical basis for recent attempts to reinterpret quantum mechanics in terms of material, causal, random behavior.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  • Aspect, A. (1976).Physical Review Letters D,14, 1944.

    Google Scholar 

  • Avez, A. (1976).Journées Relativistes.

  • Bohm, D., and Vigier, J. P. (1954).Physical Review,96, 208.

    Google Scholar 

  • de Broglie, L. (1961).Compte rendus de l'Académie des Sciences de Paris,253, 1078.

    Google Scholar 

  • Chandrasekhar, S. (1943).Reviews of Modern Physics,15, 1.

    Google Scholar 

  • De la Peña, L., and Cetto, A. M. (1975).Foundations of Physics,5, 355.

    Google Scholar 

  • Dirac, P. M. A. (1951).Nature,168, 906.

    Google Scholar 

  • Einstein, A., Podolski, B., and Rosen, N. (1935).Physical Review,47, 777.

    Google Scholar 

  • Einstein, A. (1956).Investigation on the Theory of Brownian Movement. New York.

  • Feynman, R. P. (1948).Reviews of Modern Physics,20, 367.

    Google Scholar 

  • Guerra, F., and Ruggiero, P. (1979).Letters to Nuovo Cimento,23, 529.

    Google Scholar 

  • Heath, D. C. (1969). “Probabilistic analysis of hyperbolic systems of partial differential equations.” Ph.D. thesis, University of Urbana, Illinois.

    Google Scholar 

  • Kac, M. (1956). “Some stochastic problems in Physics and Mathematics.”Magnolia Petrolium C∘Lectures in pure and applied Science, n∘2, pp. 102–122.

  • Lehr, W., and Park, J. (1977).Journal of Mathematical Physics,18, 1235.

    Google Scholar 

  • Nelson, E. (1966).Physical Review,150, 1079.

    Google Scholar 

  • Terletski, Ya. P., and Vigier, J. P. (1961).Zhurnal Eksperimental'noi i Teureticheskoi Fiziki,13, 356.

    Google Scholar 

  • Vigier, J. P. (1979).Letters to Nuovo Cimento,24, 258, 265.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. University of Bari, Italy

    N. Cufaro Petroni

  2. Institut Henri Poincaré, Paris, France

    J. P. Vigier

Authors
  1. N. Cufaro Petroni
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. J. P. Vigier
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Petroni, N.C., Vigier, J.P. Markov process at the velocity of light: The Klein-Gordon statistic. Int J Theor Phys 18, 807–818 (1979). https://doi.org/10.1007/BF00670459

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00670459

Keywords

Search

Navigation