{"paper":{"title":"Geodesically Complete Curvature-Bounce Inflation","license":"http://creativecommons.org/licenses/by/4.0/","headline":"Positive spatial curvature permits a nonsingular bounce followed by standard inflation using one scalar field in general relativity.","cross_cats":["gr-qc","hep-th"],"primary_cat":"astro-ph.CO","authors_text":"Damien A. Easson","submitted_at":"2026-04-29T18:47:37Z","abstract_excerpt":"The early universe need not be described by an incomplete inflationary phase connected to a separate, more exotic prehistory. Recent results show that, within non-static FRW cosmology, only positive spatial curvature permits a nonsingular, geodesically complete universe with ANEC-respecting matter. We construct a geodesically complete closed $k=+1$ bounce-plus-inflation cosmology in ordinary general relativity, sourced by a single canonical scalar field with a positive vacuum offset. The bounce is supported by curvature rather than exotic stress energy: the matter content satisfies the NEC thr"},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"We construct a geodesically complete closed k=+1 bounce-plus-inflation cosmology in ordinary general relativity, sourced by a single canonical scalar field with a positive vacuum offset. The solved branch remains sub-Planckian and evolves onto a curvature-diluted slow-roll phase with inflationary observables consistent with current constraints.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"That only positive spatial curvature permits a nonsingular, geodesically complete universe with ANEC-respecting matter in non-static FRW cosmology, and that a suitable scalar potential with positive vacuum offset can be chosen to realize the bounce while keeping the entire evolution sub-Planckian and NEC-compliant.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"A closed k=+1 FRW universe with curvature-driven bounce and canonical scalar inflation remains sub-Planckian, satisfies the null energy condition, and produces ns=0.9617-0.9650 and r=0.0037-0.0045 consistent with data.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"Positive spatial curvature permits a nonsingular bounce followed by standard inflation using one scalar field in general relativity.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"2e3cd32c4d42a3d8611b350f5cf00f757de6ba6a96a8ce80c4bda731ad8a5dbf"},"source":{"id":"2604.27103","kind":"arxiv","version":2},"verdict":{"id":"dc6e4774-151d-4b91-b745-5c65cc34cb01","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-07T08:44:19.573912Z","strongest_claim":"We construct a geodesically complete closed k=+1 bounce-plus-inflation cosmology in ordinary general relativity, sourced by a single canonical scalar field with a positive vacuum offset. The solved branch remains sub-Planckian and evolves onto a curvature-diluted slow-roll phase with inflationary observables consistent with current constraints.","one_line_summary":"A closed k=+1 FRW universe with curvature-driven bounce and canonical scalar inflation remains sub-Planckian, satisfies the null energy condition, and produces ns=0.9617-0.9650 and r=0.0037-0.0045 consistent with data.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"That only positive spatial curvature permits a nonsingular, geodesically complete universe with ANEC-respecting matter in non-static FRW cosmology, and that a suitable scalar potential with positive vacuum offset can be chosen to realize the bounce while keeping the entire evolution sub-Planckian and NEC-compliant.","pith_extraction_headline":"Positive spatial curvature permits a nonsingular bounce followed by standard inflation using one scalar field in general relativity."},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2604.27103/integrity.json","findings":[],"available":true,"detectors_run":[{"name":"ai_meta_artifact","ran_at":"2026-05-20T22:44:18.571736Z","status":"completed","version":"1.0.0","findings_count":0},{"name":"doi_compliance","ran_at":"2026-05-19T19:34:25.698892Z","status":"completed","version":"1.0.0","findings_count":0}],"snapshot_sha256":"74a3d99edd8b6088c1d194c19017235e757bff4dd2c9acf9452edbd4bd1da55c"},"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"}