Non-associativity, supersymmetry and hidden variables
Quantum Physics
2008-11-26 v4 High Energy Physics - Phenomenology
High Energy Physics - Theory
Mathematical Physics
math.MP
Rings and Algebras
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.
Cite
@article{arxiv.0712.1647,
title = {Non-associativity, supersymmetry and hidden variables},
author = {Vladimir Dzhunushaliev},
journal= {arXiv preprint arXiv:0712.1647},
year = {2008}
}
Comments
typos corrected