{"paper":{"title":"Approximate Models for Gravitational Memory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"Large-distance approximation accurately describes particle motion in Pöschl-Teller gravitational waves","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"M. Elbistan, P. A. Horvathy, P.-M. Zhang, Q-L Zhao","submitted_at":"2026-03-16T15:44:52Z","abstract_excerpt":"The large-distance approximation of a sandwich gravitational wave by a continuous but not necessarily smooth profile provides us with an approximate analytic description of particle motion in a gravitational wave as spelled out for the Poschl-Teller profile. Displacement Memory is obtained by fine-tuning the amplitude. The role of the 2nd solution of the Sturm-Liouville equation is highlighted. Similar results hold for a Gaussian and simple square profiles. Our approximate models are consistent with Carroll symmetry."},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"The large-distance approximation of a sandwich gravitational wave by a continuous but not necessarily smooth profile provides us with a surprisingly good analytic description of particle motion in a gravitational wave with Pöschl-Teller profile.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"That the large-distance limit remains accurate for the chosen continuous profiles and that the second Sturm-Liouville solution correctly captures the memory displacement without additional corrections from the wave's finite duration or non-smoothness.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"Large-distance approximations for continuous sandwich gravitational wave profiles yield good analytic descriptions of particle motion for Pöschl-Teller, Gaussian, and square cases, consistent with Carroll symmetry.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"Large-distance approximation accurately describes particle motion in Pöschl-Teller gravitational waves","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"94ab5f5a2ba3de996264a4e5f44cb4345e2cbf0619e6ee937732dfc0c15e1679"},"source":{"id":"2603.15442","kind":"arxiv","version":3},"verdict":{"id":"94b7be97-50ce-4a7b-a1fc-07d8b5507d7e","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-15T10:09:51.054380Z","strongest_claim":"The large-distance approximation of a sandwich gravitational wave by a continuous but not necessarily smooth profile provides us with a surprisingly good analytic description of particle motion in a gravitational wave with Pöschl-Teller profile.","one_line_summary":"Large-distance approximations for continuous sandwich gravitational wave profiles yield good analytic descriptions of particle motion for Pöschl-Teller, Gaussian, and square cases, consistent with Carroll symmetry.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"That the large-distance limit remains accurate for the chosen continuous profiles and that the second Sturm-Liouville solution correctly captures the memory displacement without additional corrections from the wave's finite duration or non-smoothness.","pith_extraction_headline":"Large-distance approximation accurately describes particle motion in Pöschl-Teller gravitational waves"},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2603.15442/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":2,"snapshot_sha256":"e00d5b7db2d9aca9e9bc45406116616e0b5377ac6f7130c800fc34686905952d"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}