Maxwell's Equations on a 10-Dimensional Manifold with local Symmetry so(2,3)

Abstract

The Hawthorn model is built upon the idea that the Lie algebra so(2, 3) is a more natural description of the local structure of spacetime than the Poincar´e Lie algebra. This model uses a 10-dimensional spacetime referred to as an ADS manifold. We find the model to be inconsistent with Maxwell’s equations. We investigate why this is so and proceed to revise the model so as to restore consistency with electromagnetic theory. Consequently we find that the Faraday-Gauss equations (a subset of Maxwell’s equations) arise naturally from the geometry of an ADS manifold.