On a Geometrical Description of Quantum Mechanics
Abstract
We show that Quantum Mechanics can be interpreted as a modification of the Euclidean nature of 3d space into a particular Weyl affine space which we call Qwis. This is proved using the Bohmde Broglie causal formulation of Quantum Mechanics. In the Qwis 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
 EPrint:
 6 pages no figures