Space-Time Structure and Spinor Geometry

Abstract

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.