A non-dualistic unified field theory of gravitation, electromagnetism and spin

Mathematics

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Electromagnetism, Gravitation Theory, Particle Spin, Unified Field Theory, Dirac Equation, Relativistic Theory, Schroedinger Equation, Space-Time Functions

Scientific paper

The present paper presents a nondualistic unified field theory (UFT) in the conceptual framework propounded by Tonnelat. By allowing the metric form and the nondegenerate two-form to enter symmetrically into the theory, a UFT is obtained which contains Einstein's general relativity and the Born-Infeld electrodynamics as special cases. Above all, it is shown that the Dirac equation describing the electron in an external gravito-electromagnetic field can be derived from the nondualistic Einstein equation by a simple factorization if the correspondence principle is assumed.

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