2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/204963It 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.typos correctedQuantum PhysicsHigh Energy Physics - PhenomenologyHigh Energy Physics - TheoryMathematical PhysicsRings and AlgebrasNon-associativity, supersymmetry and hidden variablestext