The Associated Metric for a Particle in a Quantum Energy Level

Abstract

We show that the probabilistic distribution over the space in the spectator world, can be associated via noncommutative geometry (with some modifications) to a metric in which the particle lives. According to this geometrical view, the metric in the particle world is ``contracted'' or ``stretched'' in an inverse proportion to the probability distribution.

14 pages, latex, epsf, 3 figures. Some clarifications were added