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Possibility of Geometrical Interpretation of Quantum Mechanics and Geometrical Meaning of “Hidden Variables”

Possibility of Geometrical Interpretation of Quantum Mechanics and Geometrical Meaning of “Hidden Variables”

作     者:О. А. Olkhov О. А. Olkhov

作者机构:N. N. Semenov Federal Research Center Institute of Chemical Physic Russian Academy of Sciences Moscow Russia 

出 版 物:《Journal of Modern Physics》 (现代物理(英文))

年 卷 期:2021年第12卷第3期

页      面:353-360页

学科分类:07[理学] 0701[理学-数学] 070101[理学-基础数学] 

主  题:Quantum Mechanics Geometrical Interpretation of Quantum Mechanics “Hidden Variables” 

摘      要: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.

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