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arXiv · 0712.1647

Non-associativity, supersymmetry and hidden variables

Vladimir Dzhunushaliev
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Abstract

It is shown that the supersymmetric quantum mechanics has an octonionic generalization. The generalization is based on the inclusion of quaternions into octonions. The elements from the coset octonions/quaternions are unobservables bacause they cannot be considered as quantum operators as a consequence of their non-associative properties. The idea that the octonionic generalization of the supersymmetric quantum mechanics describes an observable particle formed with unobservable ``particles'' is presented.

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Vladimir Dzhunushaliev. 2008-04-22. Non-associativity, supersymmetry and hidden variables. https://doi.org/10.1063/1.2907868

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