Von Neumann Uniqueness Theorem doesn't hold in Hyperbolic Quantum Mechanics
A. Khrennikov, G. Segre
TL;DR
This paper demonstrates that the Von Neumann Uniqueness Theorem, which is fundamental in standard quantum mechanics, does not apply within the framework of Hyperbolic Quantum Mechanics, indicating a significant deviation in mathematical structure.
Contribution
It provides a proof that the Von Neumann Uniqueness Theorem fails in Hyperbolic Quantum Mechanics, highlighting a key difference from traditional quantum theory.
Findings
Von Neumann Uniqueness Theorem does not hold in Hyperbolic Quantum Mechanics
Hyperbolic Quantum Mechanics exhibits different mathematical properties from standard quantum mechanics
The result impacts the foundational understanding of quantum structures in hyperbolic settings
Abstract
It is shown that Von Neumann Uniqueness Theorem doesn't hold in Hyperbolic Quantum Mechanics
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