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.

19 pages, no figures, from the Eleventh Marcel Grossmann Meeting on General Relativity

Cited by in corpus (4)

• Beyond the standard model with six-dimensional spinors
• Clifford algebra Cl(0,6) approach to beyond the standard model and naturalness problems
• An Ontology of Nature with Local Causality, Parallel Lives, and Many Relative Worlds
• Real spinors and real Dirac equation