English

On a Geometrical Description of Quantum Mechanics

General Relativity and Quantum Cosmology 2011-03-22 v1 High Energy Physics - Theory Quantum Physics

Abstract

We show that Quantum Mechanics can be interpreted as a modification of the Euclidean nature of 3-d space into a particular Weyl affine space which we call Q-wis. This is proved using the Bohm-de Broglie causal formulation of Quantum Mechanics. In the Q-wis geometry, the length of extended objects changes from point to point. In our proposed geometrical formulation, deformation of the standard rulers used to measure physical distances are in the core of quantum effects.

Keywords

Cite

@article{arxiv.0901.3741,
  title  = {On a Geometrical Description of Quantum Mechanics},
  author = {M. Novello and J. M. Salim and F. T. Falciano},
  journal= {arXiv preprint arXiv:0901.3741},
  year   = {2011}
}

Comments

6 pages no figures

R2 v1 2026-06-21T12:04:07.517Z