Field theory onR×S 3 topology. IV: Electrodynamics of magnetic moments |
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| Authors: | M. Carmeli S. Malin |
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| Affiliation: | (1) Center for Theoretical Physics, Ben-Gurion University of the Negev, 84105 Beer-Sheva, Israel;(2) Present address: Department of Physics and Astronomy, University of Maryland, 20742 College Park, Maryland;(3) Department of Physics and Astronomy, University of Massachusetts, 01003 Amherst, Massachusetts;(4) Present address: Department of Physics and Astronomy, Colgate University, 13346 Hamilton, New York |
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| Abstract: | The equations of electrodynamics for the interactions between magnetic moments are written on R×S3 topology rather than on Minkowskian space-time manifold of ordinary Maxwell's equations. The new field equations are an extension of the previously obtained Klein-Gordon-type, Schrödinger-type, Weyl-type, and Dirac-type equations. The concept of the magnetic moment in our case takes over that of the charge in ordinary electrodynamics as the fundamental entity. The new equations have R×S3 invariance as compared to the Lorentz invariance of Maxwell's equations. The solutions of the new field equations are given. In this theory the divergence of the electric field vanishes whereas that of the magnetic field does not.Research supported in part by the Colgate Research Council and by the Center for Theoretical Physics, University of Maryland. |
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