Interference of probabilities and number field structure of quantum models

2001/07/26 by Andrei Khrennikov, Khrennikov, Andrei
Mathematics · Medicine · Physics and Astronomy · Psychology · #Biofield Effects and Biophysics #FOS: Physical sciences #Mental Health Research Topics #Quantum Physics (quant-ph) #advanced mathematical theories #quant-ph

paper · pdf · doi:10.48550/arxiv.quant-ph/0107135

arxiv created 2001/07/26 · openalex publication_date 2001/07/26 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the probabilistic consequences of the choice of the basic number field in quantum formalism. We demonstrate that by choosing a number field for a linear space representation of quantum model it is possible to describe various interference phenomena. We analyse interference of probabilistic alternatives induced by real, complex, hyperbolic (Clifford) and p-adic representations.

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