{"paper":{"title":"Self-Reconstructing Codazzi Defects, $\\mathbb{CP}^1$ Quantization, and the Minimal Standard-Model Carrier","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"physics.gen-ph","authors_text":"Piotr Ogonowski","submitted_at":"2026-06-10T21:27:49Z","abstract_excerpt":"A local reconstruction problem for a primitive optical Codazzi defect in a four-dimensional Lorentzian branch is analyzed. After resolution of the worldline core, the link is identified with $\\mathbb{CP}^1$, and the primitive transverse class fixes $L_\\Gamma\\simeq\\mathcal O(1)$. The resulting Borel-Weil tower and the $\\mathbb{CP}^1$ Toeplitz visibility cutoff are used to turn a filtered transverse source into a finite internal carrier. For scalar-sector sources of transverse order at most two, two separated non-scalar channels are isolated: a $V_1$ phase-current channel and a $V_2$ trace-free "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.12693","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/2606.12693/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"}