Abstract
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.
Research supported by the Natural Sciences and Engineering Research Council of Canada
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References
H. Weyl, Raum. Zeit, Materie, Vierte erweiterte Auflage, Springer Verlag, Berlin 1921.
P.A.M. Dirac, Proc. R. Soc. London 333A, 403 (1973).
Notations and co-covariant calculus are summarized in the Appendix.
F. London, Superfluids, Vol. 1, Dover Publications, New York, 1960.
H.B. Nielsen and P. Olesen, Nucl. Phys. 61B, 45 (1973).
D. Gregorash and G. Papini, N. Cim. 63B, 487 (1981).
D. Gregorash and G. Papini, Phys. Letts. 82A, 67 (1981)
D. Gregorash and G. Papini, N. Cim 70B, 259 (1982).
G. Papini, Proc. Third Marcel Grossman Meeting, Shanghai, 1982 (in press).
M. Wadati, H. Matsumoto and H. Umezawa, Phys. Rev. 18D, 520 (1982).
Similar results can be obtained by introducing torsion: D. Gregorash and G. Papini, N. Cim. 55B, 37 (1980);
D. Gregorash and G. Papini, N. Cim. 56B, 21 (1980);
D. Gregorash and G. Papini, N. Cim. 64B, 55 (1981).
Somewhat similar results can be derived from the scalar-tensor theory of gravitation of Y. Fujii, Gen. Rel. Gray. 6, 29 (1975).
A.S. Goldhaber, M.M. Nieto, L. Davis, Sc. Am. May 1976.
Similar views are expressed in an entirely nongravitational context by E.J. Post, Phys. Rev. 9D, 3379 (1974).
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© 1985 Plenum Press, New York
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Papini, G. (1985). Gravitation and Electromagnetism Covariant Theories a La Dirac. In: Mintz, S.L., Perlmutter, A. (eds) High-Energy Physics. Studies in the Natural Sciences, vol 20. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-8848-7_14
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DOI: https://doi.org/10.1007/978-1-4684-8848-7_14
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