Foundations of Physics

, Volume 29, Issue 7, pp 1065–1098

Classical and Quantum Mechanics on Information Spaces with Applications to Cognitive, Psychological, Social, and Anomalous Phenomena

  • Andrei Khrennivov

DOI: 10.1023/A:1018885632116

Cite this article as:
Khrennivov, A. Foundations of Physics (1999) 29: 1065. doi:10.1023/A:1018885632116


We use the system of p-adic numbers for the description of information processes. Basic objects of our models are so-called transformers of information, basic processes are information processes and statistics are information statistics (thus we present a model of information reality). The classical and quantum mechanical formalisms on information p-adic spaces are developed. It seems that classical and quantum mechanical models on p-adic information spaces can be applied for the investigation of flows of information in cognitive and social systems, since a p-adic metric gives a quite natural description of the ability to form associations.

Copyright information

© Plenum Publishing Corporation 1999

Authors and Affiliations

  • Andrei Khrennivov

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