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Interference of probabilities and number field structure of quantum models
Authors:A Khrennikov
Abstract:We study the probabilistic consequences of the choice of the basic number field in the 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.
Keywords:Interference of probabilities  quantum probability  number field structure  complex  real  p‐adic and hyperbolic numbers  
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