{"paper":{"title":"The hydrodynamic singular vortex on the sphere and the Dirac monopole","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.supr-con"],"primary_cat":"physics.flu-dyn","authors_text":"Alexander G. Chefranov, Igor I. Mokhov, Sergey G. Chefranov","submitted_at":"2017-11-11T12:16:47Z","abstract_excerpt":"An exact correspondence is established between mathematical description of the single \"elementary vortex\" (EV)velocity on the sphere (Zermelo,1902;Bogomolov,1977) and the Dirac magnetic monopole (DMM) vector potential (Dirac, 1931). Similar analogy with DMM was noted only for the vortices in quantum fluid He-3A (Blaha,1976;Volovik,Mineev,1976). Singular EV on a sphere is usually considered using compensating vortex field, uniformly distributed over the sphere. It is necessary to meet the Gauss-Kelvin theorem with zero integral vorticity over the sphere. However since Bogomolov (1977)(see also "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.04124","kind":"arxiv","version":1},"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"}