{"paper":{"title":"Radius-Flow Entanglement in Hadron States and Gravitational Form Factors","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["hep-lat","hep-th","nucl-th"],"primary_cat":"hep-ph","authors_text":"Kiminad A. Mamo","submitted_at":"2026-03-03T15:03:21Z","abstract_excerpt":"We define an operational integer-$n$ lattice observable for state-dependent spatial entanglement in QCD hadrons and a falsifiable local-window analysis of its radius dependence. The observable is the vacuum-subtracted logarithmic radius derivative of the ball R\\'enyi entropy, $\\mathfrak{s}_n(R;h)=R\\partial_R\\Delta S_n(B_R;h)$, evaluated in a rest-frame momentum-projected one-hadron state. At fixed replica/cut prescription, $\\Delta S_n$ is a direct integer-$n$ replica ratio and $\\mathfrak{s}_n$ is obtained as its correlated radius derivative; the intended first target is $n=2$, and spin averagi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2603.03064","kind":"arxiv","version":3},"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/2603.03064/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"}