Non-associativity, supersymmetry and hidden variables

Details Non-associativity, supersymmetry and hidden variables Non-associativity, supersymmetry and hidden variables

2007-12-11

arxiv.org/abs/0712.1647v4

J.Math.Phys.49:042108,2008

Physics

Quantum Physics

typos corrected

Scientific paper

10.1063/1.2907868

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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