Investigating Gravity and Electromagnetism on a 10 Dimensional Manifold with Local Symmetry so(2,3)

Abstract

The Hawthorn model [1] is built upon the idea that the Lie algebra so(2, 3) is a more natural description of the local structure of space-time than the Poincare Lie algebra, with the former contracting to the latter in the limit of the contraction parameter r tending to infinity. This notion is explored in the context of a 10-dimensional space-time referred to as an ADS manifold. Here we build on the work of Crump [2] and try to incorporate field equations for gravity into the model. We derive two apparently different equations describing gravitational phenomena, demonstrate an intimate connection between gravity and electromagnetism and provide a first estimate as to the value of the contraction parameter r.