{"paper":{"title":"Can Oscillatory and Persistent Nonlinearities Be Bridged in Black Hole Ringdown?","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"Quadratic quasinormal modes and the Christodoulou memory effect in black hole ringdown are linked by coefficients set by the remnant black hole parameters.","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Caiying Shao, Hongbao Zhang, Jiageng Jiao, Jing-Qi Lai, Jun-Xi Shi, Yu Tian, Zhen-Tao He","submitted_at":"2026-03-08T05:11:47Z","abstract_excerpt":"Quadratic quasinormal modes (QQNMs) and Christodoulou memory effect are key nonlinear phenomena in gravitational wave physics. QQNMs characterize the near zone nonlinear response of a perturbed black hole, whereas the memory effect is a nonlinear remnant imprinted at null infinity by outgoing radiation. This naturally raises the question of whether and in what sense the two can be bridged. We show that they are related through bridge coefficients which depend primarily on remnant black hole parameters during ringdown. Future space-based gravitational wave detectors can probe this relation. The"},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"We show that they are related through bridge coefficients which depend primarily on remnant black hole parameters during ringdown.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"The assumption that the bridge coefficients are determined solely by remnant black hole parameters with no significant dependence on initial perturbation details or higher-order nonlinear terms.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"Quadratic quasinormal modes and Christodoulou memory effect are related through bridge coefficients depending primarily on remnant black hole parameters.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"Quadratic quasinormal modes and the Christodoulou memory effect in black hole ringdown are linked by coefficients set by the remnant black hole parameters.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"7b93c8d7fdfd1a1c86bdd51d99d6bd5882c69208d57dde725989f3c38e422cf8"},"source":{"id":"2603.07469","kind":"arxiv","version":3},"verdict":{"id":"d388a448-bf64-4582-ab27-40964d7a0ead","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-15T15:33:28.206634Z","strongest_claim":"We show that they are related through bridge coefficients which depend primarily on remnant black hole parameters during ringdown.","one_line_summary":"Quadratic quasinormal modes and Christodoulou memory effect are related through bridge coefficients depending primarily on remnant black hole parameters.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"The assumption that the bridge coefficients are determined solely by remnant black hole parameters with no significant dependence on initial perturbation details or higher-order nonlinear terms.","pith_extraction_headline":"Quadratic quasinormal modes and the Christodoulou memory effect in black hole ringdown are linked by coefficients set by the remnant black hole parameters."},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2603.07469/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"}