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Field theory onR×S 3 topology. IV: Electrodynamics of magnetic moments

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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.

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References

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Author notes

  1. M. Carmeli

    Present address: Department of Physics and Astronomy, University of Maryland, 20742, College Park, Maryland

  2. S. Malin

    Present address: Department of Physics and Astronomy, Colgate University, 13346, Hamilton, New York

Authors and Affiliations

  1. Center for Theoretical Physics, Ben-Gurion University of the Negev, 84105, Beer-Sheva, Israel

    M. Carmeli

  2. Department of Physics and Astronomy, University of Massachusetts, 01003, Amherst, Massachusetts

    S. Malin

Authors
  1. M. Carmeli
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  2. S. Malin
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Additional information

Research supported in part by the Colgate Research Council and by the Center for Theoretical Physics, University of Maryland.

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Carmeli, M., Malin, S. Field theory onR×S 3 topology. IV: Electrodynamics of magnetic moments. Found Phys 16, 791–806 (1986). https://doi.org/10.1007/BF00735380

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  • DOI: https://doi.org/10.1007/BF00735380

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