{"paper":{"title":"Charge quantisation without compactness: the Higgs and Yukawa mechanisms from matter geometry","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["gr-qc","hep-th"],"primary_cat":"physics.hist-ph","authors_text":"Henrique Gomes","submitted_at":"2025-09-28T22:13:28Z","abstract_excerpt":"In the \\emph{geometry-first} formulation of gauge theory \\citep{Gomes_internal}, Hermitian vector bundles and their covariant derivatives are the primitive objects. Here gauge groups arise only as the automorphism groups of a small set of structured fundamental fibres, and every matter field is a section of a tensor product of the fundamental bundles. This is a constraint on gauge theories. In the abelian sector it enforces charge quantisation, even without compactness: charges count tensor powers of a fundamental line bundle, so they lie on an integral lattice even when the automorphism group"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2509.25276","kind":"arxiv","version":7},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2509.25276/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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"}