English

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.

Keywords

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

R2 v1 2026-06-21T09:52:43.847Z