{"paper":{"title":"A Smoothness Principle for Branch Selection Across Black-Hole Horizons","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Ki-Seok Kim, Yoon-Seok Choun","submitted_at":"2026-07-04T10:08:47Z","abstract_excerpt":"Many black-hole wave equations reduce to radial ordinary differential equations with regular singular points at horizons, where local solutions split into distinct branches. We propose a simple branch-selection principle to isolate the physically distinguished branch: removing the leading horizon behavior and imposing \\(C^{\\infty }\\) smoothness on the residual field. Using an exactly solvable scalar field in \\(JT/AdS_{2}\\), we demonstrate that this single principle successfully organizes three seemingly distinct structures: smooth continuation across the black-hole horizon, the ambiguity of th"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.03800","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/2607.03800/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"}