P-ADIC STOCHASTIC HIDDEN VARIABLE MODEL

We propose stochastic hidden variables model in which hidden variables have a p-adic probability distribution p(lambda) and at the same time conditional probabilistic distributions P(U,lambda), U=A,A',B,B', are ordinary probabilities defined on the basis of the Kolmogorov measure -theoretical axiomatics. A frequency definition of p-adic probability is guile similar to the ordinary frequency definition of probability. p-adic frequency probability is defined as the limit of relative frequ encies v(n) but in the p-adic metric. We study a model with p-adic sto chastics on the level of the hidden variables description. But, of cou rse, responses of macroapparatuses have to be described by ordinary st ochastics. Thus our model describes a mixture of p-adic stochastics of the microworld and ordinary stochastics of macroapparatuses. In this model probabilities for physical observables are the ordinary probabil ities. At the satire time Bell's inequality is violated. (C) 1998 Amer ican Institute of Physics.