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Dialogue on the Quantum Mechanics Foundation Problem and its Solution by Spontaneous Superposition Breaking

Vladan Panković

Published Sep 11, 2009• 1 citation
OpenAlex

Abstract

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”

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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”
Some of the problems connected with the interpretation of quantum mechanics are enumerated, in particular those related to some well known paradoxes and, above all, to the measurement process. We then show how the so called "Physics Laboratory Assumption" introduced in [1], which considers as "observables'' only the self-adjoint operators corresponding to existing measuring instruments, can propose a new perspective on the aforementioned problems and can replace the wavefunction collapse postulate. [1] Luigi E. Picasso, "On the Concept of State in Quantum Mechanics: Another Way to Decoherence?'' Int. J. Theor. Phys. 62 (2), (2023)
In this work we consider a possibility that Compton scattering can be considered as a typical measurement (detection) procedure within which electron behaves as the measuring apparatus, i.e. detector (pointer) of the propagation of the photon as the measured object. It represents a realistic variant of the old gendanken (though) experiment (discussed by Einstein, Bohr, Dirac, Feynman) of the interaction between the single photon as the measured object and a movable mirror as the measuring apparatus, i.e. detector (pointer). Here collapse by measurement is successfully modeled by spontaneous (non-dynamical) unitary symmetry (superposition) breaking (effective hiding) representing an especial case of the spontaneous (non-dynamical) breaking (effective hiding) of the dynamical symmetries. All this is full agreement with all existing experimental data and represents the definitive solution of the old problem of micro theoretical foundation of measurement or old problem of the foundation of quantum mechanics as a local (luminal) physical theory.
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.