A probabilistic analysis of the difficulties of unifying quantum mechanics with the theory of relativity
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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.
KeywordsQuantum Mechanic Classical Mechanic Mechanical Operator Probabilistic Analysis Present Formalism
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- 1.A. H. Jazwinski,Stochastic Processes and Filtering Theory (Academic Press, New York, London, 1970).Google Scholar
- 2.J. L. Doob,Stochastic Processes (Wiley, New York, 1953).Google Scholar
- 3.M. Born,Phys. Blätter 11, 49 (1955).Google Scholar
- 4.E. Schrödinger,Ann. d. Phys. 79, 489 (1926).Google Scholar
- 5.L. S. Mayants, W. Yourgrau, and A. J. van der Merwe,Ann. d. Phys. 33, 21 (1976).Google Scholar
- 6.L. S. Mayants,Found. Phys. 3, 413 (1973).Google Scholar