TITLE:
Geometric Interpretation of the Uncertainty Principle
AUTHORS:
Pavel A. Stabnikov
KEYWORDS:
Uncertainty Principle, Unattainable Limits, Geometry of Infinitely Small, Wave-Particle Duality
JOURNAL NAME:
Natural Science,
Vol.11 No.5,
May
30,
2019
ABSTRACT: 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.