ON A GEOMETRICAL DESCRIPTION OF QUANTUM MECHANICS

@article{Novello2011ONAG,
  title={ON A GEOMETRICAL DESCRIPTION OF QUANTUM MECHANICS},
  author={M. Novello and J. Salim and F. Falciano},
  journal={International Journal of Geometric Methods in Modern Physics},
  year={2011},
  volume={08},
  pages={87-98}
}
We show that quantum mechanics can be interpreted as a modification of the Euclidean nature of 3-d space into a particular 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 this formulation, deformation of physical distances are in the core of quantum effects allowing a geometrical formulation of the uncertainty principle. 
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