Space-time structure and spinor geometry

• Autores: George Szekeres, Lindsay Peters
• Localización: Anziam journal: The Australian & New Zealand industrial and applied mahtematics journal, ISSN 1446-1811, Vol. 50, Nº 2, 2008, págs. 143-176
• Idioma: inglés
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• Resumen

  • The structure of space-time is examined by extending the standard Lorentz connection group to its complex covering group, operating on a 16-dimensional "spinor" frame. A Hamiltonian variation principle is used to derive the field equations for the spinor connection. The result is a complete set of field equations which allow the sources of the gravitational and electromagnetic fields, and the intrinsic spin of a particle, to appear as a manifestation of the space-time structure. A cosmological solution and a simple particle solution are examined. Further extensions to the connection group are proposed.