{"paper":{"title":"Aharonov-Bohm Effect, Dirac Monopole, and Bundle Theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.gen-ph","authors_text":"Miguel Socolovsky","submitted_at":"2017-12-30T16:34:37Z","abstract_excerpt":"We discuss the Aharonov-Bohm ($A-B$) effect and the Dirac ($D$) monopole of magnetic charge $g={{1}\\over{2}}$ in the context of bundle theory, exhibiting a purely geometric relation between them. If $\\xi_{A-B}$ and $\\xi_D$ are the respective $U(1)$-bundles, we show that $\\xi_{A-B}$ is isomorphic to the pull-back of $\\xi_D$ induced by the inclusion of the corresponding base spaces $\\iota:(D_0^2)^*\\to S^2$}. The fact that the $A-B$ effect disappears when the magnetic flux in the solenoid equals an integer times the quantum of flux $\\Phi_0={{2\\pi}\\over{\\vert e\\vert}}$ associated with the electric"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.01411","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"}