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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.
Type
Thesis
Type of thesis
Series
Citation
Crump, W. P. (2012). Maxwell’s Equations 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/10289/6526
Date
2012
Publisher
University of Waikato
Degree
Supervisors
Rights
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