Non viability of hyperbolic quantum mechanics as a theory of Nature

Florin Moldoveanu

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arXiv · 1311.6461

Non viability of hyperbolic quantum mechanics as a theory of Nature

Florin Moldoveanu

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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.

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Florin Moldoveanu. 2014-01-12. Non viability of hyperbolic quantum mechanics as a theory of Nature. https://arxiv.org/abs/1311.6461

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