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

      Crump, William Peter
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      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
      Permanent Research Commons link: https://hdl.handle.net/10289/6526
      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.
      Date
      2012
      Type
      Thesis
      Degree Name
      Master of Science (MSc)
      Supervisors
      Hawthorn, Ian
      Oughton, Sean
      Publisher
      University of Waikato
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      All items in Research Commons are provided for private study and research purposes and are protected by copyright with all rights reserved unless otherwise indicated.
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