P-ADIC STOCHASTICS AND DIRAC QUANTIZATION WITH NEGATIVE PROBABILITIES

A new mathematical apparatus, a p-adic theory of probability, is appli ed to realize the hypothetical world based on negative probability dis tributions created by Dirac for the relativistic quantization of photo ns. Within the p-adic theory of probability, negative probability dist ributions are well defined (in the language of limits of relative freq uencies, but with respect to a p-adic metric). We propose that the neg ative Gibbs distributions arising in relativistic quantization are des cribed by p-adic stochastics.