# Some Physical Consequences of the Hypothesis of Stochastic Space-Time and the Fundamental Length

## Abstract

As was noted above (Chapter 7), there are three approaches to the construction of the theory of stochastic processes in physics. The traditional approach describing the diffusion phenomena (also Brownian motion) is based on the classical works due to Einstein (1956) and Smoluchowski (1923) (see the reviews by Skagerstam, 1975; Moore, 1979; Yasue, 1979; Nelson, 1979; Guerra, 1981). Further developments in this theory are connected with the names of Uhlenbeck and Ornstein (1930); Wang and Uhlenbeck (1945); Chandrasekhar (1943); Kac (1959); Rice (1944, 1945). Mathematical foundations of the stochastic theory for physical processes were laid down by A. Markov, N. Wiener, A. N. Kolmogorov, K. Itô, N. N. Bogolubov, etc. New stochastic methods in physics have been recently given in DeWitt-Morette and Elworthy (1981) (see Chapter 10). The other two approaches are connected with the properties of the electromagnetic vacuum (zero-point field) and with the postulate that the random behavior of a physical system is caused by the stochastic nature of physical space-time (see Chapters 7–9).

## Keywords

Black Hole Test Particle Proton Decay Grand Unify Theory Acceleration Mechanism## Preview

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