On a Geometrical Description of Quantum Mechanics
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.
- Publication:
-
International Journal of Geometric Methods in Modern Physics
- Pub Date:
- 2011
- DOI:
- 10.1142/S0219887811004987
- arXiv:
- arXiv:0901.3741
- Bibcode:
- 2011IJGMM..08...87N
- Keywords:
-
- General Relativity and Quantum Cosmology;
- High Energy Physics - Theory;
- Quantum Physics
- E-Print:
- 6 pages no figures