{"paper":{"title":"A Metric-Deformed $q$-Gauge Dirac Equation","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Julio C\\'esar Jaramillo Quiceno","submitted_at":"2026-05-11T15:42:52Z","abstract_excerpt":"We construct a family of metric-deformed gauge theories based on a recently introduced $q$-Dirac operator $D_q = \\gamma^\\mu \\sqrt{|g^{\\mu\\mu}|}\\partial_\\mu$, which arises from a deformed D'Alembertian $\\Box_q = |g^{00}|\\partial_t^2 - \\sum_i |g^{ii}|\\partial_i^2$. The deformation parameter $q$ is related to the metric components via $q_\\mu = \\sqrt{|g^{\\mu\\mu}|}$. By promoting $g^{\\mu\\mu}(x)$ to spacetime-dependent background fields, we define a deformed covariant derivative $D_\\mu^{(q)} = \\partial_\\mu + ieA_\\mu(x)/\\sqrt{|g^{\\mu\\mu}(x)|}$ (no sum over $\\mu$). The corresponding field strength $F_"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.21508","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2605.21508/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"}