Spontaneous Breaking of the Quantum Unitary Symmetry (Superposition)

Alfred Rieckers

David John Baker, Hans Halvorson

Vladan Panković, Milan Predojević

In this work spontaneous (non-dynamical) breaking (effective hiding) of the unitary quantum mechanical dynamical symmetry (superposition) is considered. It represents an especial but very interesting case of the general formalism of the spontaneous symmetry breaking (effective hiding). Conceptual analogies with spontaneous breaking of the gauge symmetry in Weinberg-Sallam's electro-weak interaction are pointed out. Also, consequences of the spontaneous superposition breaking in the measurement process are discussed. Measurement can be considered as a typical Landau's continuous phase transition with spontaneous superposition breaking (effective hiding) effectively corresponding to collapse. Here critical values of the order parameters are determined by Heisenberg's uncertainty relations.

Franco Strocchi

Chuang Liu, Gérard G. Emch

Vladan Panković

PACS number: 03.65.Ta In this work problem of the quantum mechanics, i.e. measurement process foundation is analyzed in the form of the Galileian dialogue. Also, a solution, by spontaneous (nondynamical) unitary symmetry (superposition) breaking (as an especial case of the spontaneous (non-dynamical) symmetry breaking) is suggested. ”Nothing is sure for me, but what’s uncertain: Obscure, whatsever is plainly clear to see: I’ve no doubt, except of everything certain: Science is what happens accidentally: I winn it all, yet a luser I am bound to bee”