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p-adic probability distributions of hidden variables

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  • Khrennikov, Andrew

Abstract

During the last years large interest was shown in p-adic quantum models (especially, in string theory). As usual, new physical models generate new mathematical methods. In our case a new type of stochastics, p-adic stochastics, was arisen inside p-adic quantum physics. We apply this stochastics to propose a justification of the Einstein-Podolsky-Rosen theory of hidden variables, which was in large contradiction with the Bell type inequality. Our main result is the following: if we consider a p-adic probability distribution of hidden variables, then there are no problems with Bell's inequality.

Suggested Citation

  • Khrennikov, Andrew, 1995. "p-adic probability distributions of hidden variables," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 215(4), pages 577-587.
    • Handle: RePEc:eee:phsmap:v:215:y:1995:i:4:p:577-587
    DOI: 10.1016/0378-4371(95)00036-7
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    Cited by:

    1. Khrennikov, Andrei, 2001. "Limit behaviour of sums of independent random variables with respect to the uniform p-adic distribution," Statistics & Probability Letters, Elsevier, vol. 51(3), pages 269-276, February.

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