Advertisement

Foundations of Physics

, Volume 8, Issue 9–10, pp 721–733 | Cite as

A probabilistic analysis of the difficulties of unifying quantum mechanics with the theory of relativity

  • Manfred Neumann
Article
  • 44 Downloads

Abstract

A procedure is given for the transformation of quantum mechanical operator equations into stochastic equations. The stochastic equations reveal a simple correlation between quantum mechanics and classical mechanics: Quantum mechanics operates with “optimal estimations,” classical mechanics is the limit of “complete information.” In this connection, Schrödinger's substitution relationspx → -iħ ∂/∂x, etc, reveal themselves as exact mathematical transformation formulas. The stochastic version of quantum mechanical equations provides an explanation for the difficulties in correlating quantum mechanics and the theory of relativity: In physics “time” is always thought of as a numerical parameter; but in the present formalism of physics “time” is described by two formally totally different quantities. One of these two “times” is a numerical parameter and the other a random variable. This last concept of time shows all the properties required by the theory of relativity and is therefore to be considered as the relativistic time.

Keywords

Quantum Mechanic Classical Mechanic Mechanical Operator Probabilistic Analysis Present Formalism 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    A. H. Jazwinski,Stochastic Processes and Filtering Theory (Academic Press, New York, London, 1970).Google Scholar
  2. 2.
    J. L. Doob,Stochastic Processes (Wiley, New York, 1953).Google Scholar
  3. 3.
    M. Born,Phys. Blätter 11, 49 (1955).Google Scholar
  4. 4.
    E. Schrödinger,Ann. d. Phys. 79, 489 (1926).Google Scholar
  5. 5.
    L. S. Mayants, W. Yourgrau, and A. J. van der Merwe,Ann. d. Phys. 33, 21 (1976).Google Scholar
  6. 6.
    L. S. Mayants,Found. Phys. 3, 413 (1973).Google Scholar

Copyright information

© Plenum Publishing Corporation 1978

Authors and Affiliations

  • Manfred Neumann
    • 1
  1. 1.Universität FreiburgFreiburg im BreisgauWest Germany

Personalised recommendations