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- W4293491990 abstract "Quantum and classical mechanics share a common algebraic formalism which is expressed naturally in the language of category theory. A third realization of this formalism is the so-called hyperbolic quantum mechanics where split-complex numbers replace the usual complex numbers. We introduce and explore the corresponding generalization of C*-algebras and prove that hyperbolic quantum mechanics is not a viable candidate for describing Nature. Quantum and classical mechanics are the only acceptable theories of Nature which are invariant under tensorial composition." @default.
- W4293491990 created "2022-08-29" @default.
- W4293491990 creator A5025524386 @default.
- W4293491990 date "2013-11-24" @default.
- W4293491990 modified "2023-09-27" @default.
- W4293491990 title "Non viability of hyperbolic quantum mechanics as a theory of Nature" @default.
- W4293491990 doi "https://doi.org/10.48550/arxiv.1311.6461" @default.
- W4293491990 hasPublicationYear "2013" @default.
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