A new spinor calculus

Computer Science

Scientific paper

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Scientific paper

Spinor calculus is developed in a simple, axiomatic manner, without the use of fibre bundles. Tangent vectors of spacetime are identified with self-adjoint endomorphisms of spin spaces. Only one spin space is defined at each point, instead of the two which are required in traditional spinor calculus. The properties of the spin connection and spin curvature are derived. The spinor index formalism and the formalism of complex 3-vectors are discussed.

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