Geometrization of quantum mechanics

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...

Full description

Saved in:
Bibliographic Details
Published in:Journal of physics. Conference series 2007-05, Vol.67 (1), p.012037
Main Author: Olkhov, O A
Format: Article
Language:English
Subjects:
Dirac equation
Electromagnetic fields
Euclidean geometry
Gauge invariance
Physics
Quantum mechanics
Wave propagation
Citations: Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
ISSN:1742-6596
1742-6588
1742-6596
DOI:10.1088/1742-6596/67/1/012037