Investigating Gravity and Electromagnetism on a 10 Dimensional Manifold with Local Symmetry so(2,3)
Ussher, M. N. (2013). Investigating Gravity and Electromagnetism on a 10 Dimensional Manifold with Local Symmetry so(2,3) (Thesis, Master of Science (MSc)). University of Waikato, Hamilton, New Zealand. Retrieved from https://hdl.handle.net/10289/7941
Permanent Research Commons link: https://hdl.handle.net/10289/7941
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 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  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.
University of Waikato
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- Masters Degree Theses