Mathematics
Scientific paper
Feb 1990
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990apmam..11...99y&link_type=abstract
Applied Mathematics and Mechanics (English Edition) (ISSN 0253-4827), vol. 11, Feb. 1990, p. 99-115.
Mathematics
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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