{"paper":{"title":"Torsion, Magnetic Monopoles and Faraday's Law via a Variational Principle","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"Philip D. Mannheim","submitted_at":"2014-06-09T18:01:46Z","abstract_excerpt":"Even though Faraday's Law is a dynamical law that describes how changing $\\bf{E}$ and $\\bf {B}$ fields influence each other, by introducing a vector potential $A_{\\mu}$ according to $F_{\\mu\\nu}=\\partial_{\\mu}A_{\\nu}-\\partial_{\\nu}A_{\\mu}$ Faraday's Law is satisfied kinematically, with the relation $(-g)^{-1/2}\\epsilon^{\\mu\\nu\\sigma\\tau}\\nabla_{\\nu}F_{\\sigma\\tau}=0$ holding on every path in a variational procedure or path integral. In a space with torsion $Q_{\\alpha\\beta\\gamma}$ the axial vector $S^{\\mu}=(-g)^{1/2}\\epsilon^{\\mu\\alpha\\beta\\gamma}Q_{\\alpha\\beta\\gamma}$ serves as a chiral analog o"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.2265","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}