P-ADIC PROBABILITY INTERPRETATION OF BELLS-INEQUALITY

Authors
Citation
A. Khrennikov, P-ADIC PROBABILITY INTERPRETATION OF BELLS-INEQUALITY, Physics letters. A, 200(3-4), 1995, pp. 219-223
Citations number
30
Categorie Soggetti
Physics
Journal title
ISSN journal
03759601
Volume
200
Issue
3-4
Year of publication
1995
Pages
219 - 223
Database
ISI
SICI code
0375-9601(1995)200:3-4<219:PPIOB>2.0.ZU;2-4
Abstract
We study the violation of Bell's inequality using a p-adic generalizat ion of the theory of probability. p-adic probability is introduced as a limit of relative frequencies but this limit exists with respect to a p-adic metric. In particular, negative probability distributions are well defined on the basis of the frequency definition. This new type of stochastics can be used to describe hidden-variables distributions of some quantum models. If the hidden variables have a p-adic probabil ity distribution, Bell's inequality is not valid and it is not necessa ry to discuss the experimental violations of this inequality.