{"paper":{"title":"Lagrangian Formulation of a Magnetostatic Field in the Presence of a Minimal Length Scale Based on the Kempf Algebra","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"B. Khosropour, M. R. Setare, S. K. Moayedi","submitted_at":"2013-06-04T07:06:33Z","abstract_excerpt":"In the 1990s, Kempf and his collaborators Mangano and Mann introduced a $D$-dimensional $(\\beta,\\beta')$-two-parameter deformed Heisenberg algebra which leads to an isotropic minimal length $(\\triangle X^{i})_{min}=\\hbar\\sqrt{D\\beta+\\beta'}\\;,\\forall i\\in \\{1,2, \\cdots,D\\}$. In this work, the Lagrangian formulation of a magnetostatic field in three spatial dimensions $(D=3)$ described by Kempf algebra is presented in the special case of $\\beta'=2\\beta$ up to the first order over $\\beta$. We show that at the classical level there is a similarity between magnetostatics in the presence of a minim"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1306.1070","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"}