TITLE:
Possibility of Geometrical Interpretation of Quantum Mechanics and Geometrical Meaning of “Hidden Variables”
AUTHORS:
О. А. Olkhov
KEYWORDS:
Quantum Mechanics, Geometrical Interpretation of Quantum Mechanics, “Hidden Variables”
JOURNAL NAME:
Journal of Modern Physics,
Vol.12 No.3,
February
26,
2021
ABSTRACT: Interpretation of wave function for free particle is suggested as a description of microscopic distortion of the space-time geometry, namely, as some closed topological 4-manifold. Such geometrical object looks in three-dimensional Euclidean space as its topological defect having stochastic and wave-corpuscular properties of quantum particle. All possible deformations (homeomorphisms) of closed topological manifold play the role of “hidden variables”, responsible for statistical character of the theory.