A Covariant Geometrical Representation of Quantum Interacting Electrons
Galehouse, Daniel C.
arXiv, 0504007 / Harvested from arXiv
A study of fundamental geometrical interactions shows that the Dirac electron can be represented as a conformal wave. A Riemannian space is used, having coordinates that transform locally as spinors. The wave function becomes a gradient. Anti-commuting matrices map the eight-dimensional waves into five dimensions. A projection into space time gives the known gravitational and electromagnetic forces. The electron transforms into a neutrino under hyper-rotations. First quantization is automatic. The theory is covariant and contains the known electron interactions.
Publié le : 2005-04-03
Classification:  Mathematical Physics
@article{0504007,
     author = {Galehouse, Daniel C.},
     title = {A Covariant Geometrical Representation of Quantum Interacting Electrons},
     journal = {arXiv},
     volume = {2005},
     number = {0},
     year = {2005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0504007}
}
Galehouse, Daniel C. A Covariant Geometrical Representation of Quantum Interacting Electrons. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0504007/