Geometric Interpretation of the Uncertainty Principle

• 作者: Pavel A. Stabnikov
• 来源期刊: 自然科学期刊(英文)
• 学科: 数学
• 关键词: Uncertainty PRINCIPLE Unattainable Limits GEOMETRY of INFINITELY Small Wave-Particle DUALITY
• 年，卷（期）: 2019,（5）
• 页码范围: 146-148
• 页数: 3页
• 分类号: O1

摘要

The problems of unattainable infinity and infinitesimal are discussed. Limitations connected with the absolute zero of temperature and the maximal velocity are considered, as well as the consequences of these limitations. A geometric approach is proposed as an alternative to the wave-particle duality to explain the anomalous motion of micro objects. The basis of the geometric approach is a comparison between two geometries differing from each other in the metric of infinitesimal. The interconnection of these geometries is possible through the direct and inverse Weierstrass transformation. The application of this transformation allows one to explain diffraction effects.