Gravitational law and spinning electron equation in a De Sitter symmetric space

Mathematics

Scientific paper

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Electron Spin, Gravitation Theory, Metric Space, Riemann Manifold, Covariance, Curvature, Dirac Equation, Geodesy, Gravitational Fields, Hyperspaces, Mathematical Models, Space-Time Functions, Spinor Groups

Scientific paper

A gravitational law is proposed on a De Sitter covariant space. Dirac's De Sitter covariant spinning electron equation is generalized to the presence of gravitational fields. The resulting equation differs from the generally covariant Dirac equation by a mass renormalization. The last result is a generalization of that of Guersey and Lee (1963) in case of the homogeneous De Sitter metric, and it gives a wider outlook on the significance of this result from the point of view of gauge theory.

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