Gauge Gravity and Electroweak Theory
Abstract
Reformulation of the Dirac equation in terms of the real Spacetime Algebra (STA) reveals hidden geometric structure, including a geometric role for the unit imaginary as generator of rotations in a spacelike plane. The STA and the real Dirac equation play essential roles in a new Gauge Theory Gravity (GTG) version of General Relativity (GR). Besides clarifying the conceptual foundations of GR and facilitating complex computations, GTG opens up new possibilities for a unified gauge theory of gravity and quantum mechanics, including spacetime geometry of electroweak interactions. The Weinberg-Salam model fits perfectly into this geometric framework, and a promising variant that replaces chiral states with Majorana states is formulated to incorporate zitterbewegung in electron states.
Keywords
Cite
@article{arxiv.0807.0060,
title = {Gauge Gravity and Electroweak Theory},
author = {David Hestenes},
journal= {arXiv preprint arXiv:0807.0060},
year = {2016}
}
Comments
19 pages, no figures, from the Eleventh Marcel Grossmann Meeting on General Relativity