English

The Associated Metric for a Particle in a Quantum Energy Level

Quantum Physics 2009-10-30 v2 General Relativity and Quantum Cosmology High Energy Physics - Theory

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.

Keywords

Cite

@article{arxiv.quant-ph/9703044,
  title  = {The Associated Metric for a Particle in a Quantum Energy Level},
  author = {E. Atzmon},
  journal= {arXiv preprint arXiv:quant-ph/9703044},
  year   = {2009}
}

Comments

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

R2 v1 2026-07-22T20:02:08.701Z