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p-Adic stochastics and Dirac quantization with negative probabilities

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Abstract

A new mathematical apparatus, ap-adic theory of probability, is applied to realize the hypothetical world based on negative probability distributions created by Dirac for the relativistic quantization of photons. Within thep-adic theory of probability, negative probability distributions are well defined (in the language of limits of relative frequencies, but with respect to ap-adic metric). We propose that the negative Gibbs distributions arising in relativistic quantization are described byp-adic Stochastics.

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on leave from Moscow Institute of Electronic Engineering, Moscow, Russia.

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Khrennikov, A. p-Adic stochastics and Dirac quantization with negative probabilities. Int J Theor Phys 34, 2423–2433 (1995). https://doi.org/10.1007/BF00670776

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  • DOI: https://doi.org/10.1007/BF00670776

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