A Covariant Geometrical Representation of Quantum Interacting Electrons

Details A Covariant Geometrical Representation of Quantum Interacting Electrons A Covariant Geometrical Representation of Quantum Interacting Electrons

2005-04-03

arxiv.org/abs/math-ph/0504007v1

Daniel C. Galehouse 2006 J.Phys.: Conf. Ser. Vol. 33, 411-416 at www.iop.org/EJ/toc/1742-6596/33/1

Physics

Mathematical Physics

4 pages, no figures, Revtex. Send comments or suggestions for publication to dcg@uakron.edu

Scientific paper

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.

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