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< Back to Volume 13, Number 4


p-adic Information Spaces, Infinitely Small Probabilities and Anomalous Phenomena

Andrei Khrennikov, Department of Mathematics, Statistics and Computer Sciences, University of Växjö, S-35195 Växjö, Sweden

A mathematical model of physical reality is proposed on the basis of the so-called p-adic numbers, providing p-adic probabilities. By this model, physical reality is information reality. Basic objects of this reality are transformators of information, basic processes are information processes, and the statistics are information statistics. The corresponding formalisms on information spaces are outlined. They can be used for the study of psychological and social phenomena as well as for anomalous phenomena as discussed in mind-matter research. The statistical behavior of information processes may strongly differ from statistical behavior of physical processes in real space (or space-time).

Keywords: p-adic numbers, information spaces, p-adic probability, anomalous phenomena

FULL TEXT:

p-adic Information Spaces, Infinitely Small Probabilities and Anomalous Phenomena

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