On a Geometrical Description of Quantum Mechanics

Details On a Geometrical Description of Quantum Mechanics On a Geometrical Description of Quantum Mechanics

2009-01-23

arxiv.org/abs/0901.3741v1

Int.J.Geom.Meth.Mod.Phys.8:87-98,2011

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

6 pages no figures

Scientific paper

10.1142/S0219887811004987

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.

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