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Space-Time Structure and Spinor Geometry

ANZIAM Journal
Publication Date
  • Spinor
  • Connection
  • Unified Field Theory
  • 83Exx
  • Astronomy
  • Physics


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.

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