dorsal/arxiv
View SchemaSingular Sources of Maxwell Fields with Self-Quantized Electric Charge
| Authors | Vladimir V. Kassandrov |
|---|---|
| Categories | |
| ArXiv ID | physics/0308045 |
| URL | https://arxiv.org/abs/physics/0308045 |
| Journal | "Has the Last Word been Said on Classical Electrodynamics?", eds. A.Chubykalo, V.Onoochin, A.Espinoza, V.Smirnov-Rueda. - Rinton Press, 2004, pp.42-67. |
Abstract
Single- and multi-valued solutions of homogeneous Maxwell equations in vacuum are considered, with ''sources'' formed by the (point- or string-like) singularities of the field strengths and, generally, irreducible to any delta-functions' distribution. Maxwell equations themselves are treated as consequences (say, integrability conditions) of a primary ``superpotential'' field subject to some nonlinear and over-determined constraints (related, in particular, to twistor structures). As the result, we obtain (in explicit or implicit algebraic form) a distinguished class of Maxwell fields, with singular sources necessarily carrying a ``self-quantized'' electric charge integer multiple to a minimal ``elementary'' one. Particle-like singular objects are subject to the dynamics consistent with homogeneous Maxwell equations and undergo transmutations -- bifurcations of different types. The presented scheme originates from the ``algebrodynamical'' approach developed by the author and reviewed in the last section. Incidentally, fundamental equivalence relations between the solutions of Maxwell equations, complex self-dual conditions and of Weyl ``neutrino'' equations are established, and the problem of magnetic monopole is briefly discussed.
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"abstract": "Single- and multi-valued solutions of homogeneous Maxwell equations in vacuum\nare considered, with \u0027\u0027sources\u0027\u0027 formed by the (point- or string-like)\nsingularities of the field strengths and, generally, irreducible to any\ndelta-functions\u0027 distribution. Maxwell equations themselves are treated as\nconsequences (say, integrability conditions) of a primary ``superpotential\u0027\u0027\nfield subject to some nonlinear and over-determined constraints (related, in\nparticular, to twistor structures). As the result, we obtain (in explicit or\nimplicit algebraic form) a distinguished class of Maxwell fields, with singular\nsources necessarily carrying a ``self-quantized\u0027\u0027 electric charge integer\nmultiple to a minimal ``elementary\u0027\u0027 one. Particle-like singular objects are\nsubject to the dynamics consistent with homogeneous Maxwell equations and\nundergo transmutations -- bifurcations of different types. The presented scheme\noriginates from the ``algebrodynamical\u0027\u0027 approach developed by the author and\nreviewed in the last section. Incidentally, fundamental equivalence relations\nbetween the solutions of Maxwell equations, complex self-dual conditions and of\nWeyl ``neutrino\u0027\u0027 equations are established, and the problem of magnetic\nmonopole is briefly discussed.",
"arxiv_id": "physics/0308045",
"authors": [
"Vladimir V. Kassandrov"
],
"categories": [
"physics.class-ph",
"hep-th",
"math-ph",
"math.MP"
],
"journal_ref": "\"Has the Last Word been Said on Classical Electrodynamics?\", eds.\n A.Chubykalo, V.Onoochin, A.Espinoza, V.Smirnov-Rueda. - Rinton Press, 2004,\n pp.42-67.",
"title": "Singular Sources of Maxwell Fields with Self-Quantized Electric Charge",
"url": "https://arxiv.org/abs/physics/0308045"
},
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