Geometrization of quantum formalism

Details Geometrization of quantum formalism Geometrization of quantum formalism

2007-06-23

arxiv.org/abs/0706.3461v1

Journal of Phys.: Conf.Ser, 2007, 67, 012037

Physics

Quantum Physics

11 pages, Proc.Int.WorkshopDICE2006 "Quantum Mechanics between Decoherence and Determinism", Piombino, Italy, September 11-15,

Scientific paper

The hypothesis is suggested that the equation for the Dirac free wave field is, in fact, a group-theoretical relation describing propagation of specific microscopic deviations of space geometry from the euclidean one (closed topological manifolds). The Dirac equation for a hydrogen atom can also be interpreted as a relation that accounts for the symmetry properties of a piece of curved space. Within the framework of this concept, atoms have no any pointlike particles (electrons) inside, and the gauge invariance of electromagnetic field proves to be the natural consequence of the basic principles of the proposed geometrical approach.

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