Foundations of Physics

, Volume 29, Issue 7, pp 1065–1098 | Cite as

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

  • Andrei Khrennivov


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.


Social System Information Process Quantum Mechanics Information Statistic Mechanical Model 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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© Plenum Publishing Corporation 1999

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  • Andrei Khrennivov

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