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

• 作者: О. А. Olkhov
• 来源期刊: 现代物理(英文)
• 学科: 数学
• 关键词: Quantum Mechanics Geometrical Interpretation of Quantum Mechanics “Hidden Variables”
• 年，卷（期）: 2021,（3）
• 页码范围: 353-360
• 页数: 8页
• 分类号: O18

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.