Gravitation and Electromagnetism Covariant Theories a La Dirac
A generalization of the Weyl-Dirac theory is given in which the Dirac scalar field ß(x) is complex. The electromagnetic field finds its origin in regions of space multiconnected relative to the functions φ = arg ß, while |ß| mediates the coupling between gravity and electromagnetism. Since the electromagnetic flux is quantized, length integrability is partly restored to the theory.
KeywordsElectromagnetic Field Riemannian Geometry Meissner Effect Photon Mass Parallel Displacement
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- 1.H. Weyl, Raum. Zeit, Materie, Vierte erweiterte Auflage, Springer Verlag, Berlin 1921.Google Scholar
- 2.P.A.M. Dirac, Proc. R. Soc. London 333A, 403 (1973).Google Scholar
- 3.Notations and co-covariant calculus are summarized in the Appendix.Google Scholar
- 4.F. London, Superfluids, Vol. 1, Dover Publications, New York, 1960.Google Scholar
- 5.H.B. Nielsen and P. Olesen, Nucl. Phys. 61B, 45 (1973).Google Scholar
- 7.D. Gregorash and G. Papini, Phys. Letts. 82A, 67 (1981)Google Scholar
- 9.G. Papini, Proc. Third Marcel Grossman Meeting, Shanghai, 1982 (in press).Google Scholar
- 10.M. Wadati, H. Matsumoto and H. Umezawa, Phys. Rev. 18D, 520 (1982).Google Scholar
- 11.Similar results can be obtained by introducing torsion: D. Gregorash and G. Papini, N. Cim. 55B, 37 (1980);Google Scholar
- 12.Somewhat similar results can be derived from the scalar-tensor theory of gravitation of Y. Fujii, Gen. Rel. Gray. 6, 29 (1975).Google Scholar
- 13.A.S. Goldhaber, M.M. Nieto, L. Davis, Sc. Am. May 1976.Google Scholar
- 14.Similar views are expressed in an entirely nongravitational context by E.J. Post, Phys. Rev. 9D, 3379 (1974).Google Scholar