2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/91130Extension of the formalism of Q.M. to resolve mathematical anomalies in the structure of anti-unitary operators; implications for vacuum structure and spin-statistics arising from an analysis applied to the S.H.O. Outline of the derived properties of the S.M. Higgs boson.10 pages. Minor correction. PACS addedQuantum PhysicsA Twist (with Pike) for the Simple Harmonic Oscillatortext