Interference of probabilities and number field structure of quantum models

Andrei Khrennikov

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arXiv · quant-ph/0107135

Interference of probabilities and number field structure of quantum models

Andrei Khrennikov

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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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Andrei Khrennikov. 2001-07-26. Interference of probabilities and number field structure of quantum models. https://arxiv.org/abs/quant-ph/0107135

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