{"paper":{"title":"Curvature-Assisted Dynamical Compactification in a Pre-Inflationary Higher-Dimensional Universe","license":"http://creativecommons.org/licenses/by/4.0/","headline":"Negative curvature sustains tracker-like evolution of the radion, trapping it in a compactified vacuum before four-dimensional inflation.","cross_cats":[],"primary_cat":"hep-th","authors_text":"Yusuke Yamada","submitted_at":"2026-04-28T12:39:22Z","abstract_excerpt":"We investigate a pre-inflationary dynamical compactification scenario in which a higher-dimensional expanding universe evolves into an effectively four-dimensional one through curvature-assisted modulus trapping. To obtain a calculable semiclassical realization, we consider a simple five-dimensional $S^1$ compactification in a time-dependent open FRW background. Bulk quantum fields generate both the late-time Casimir contribution that stabilizes the radion and the early-time Kaluza-Klein thermal contributions relevant for the cosmological evolution. We show that negative curvature can sustain "},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"We show that negative curvature can sustain tracker-like radion evolution, allowing the radion to be trapped in a compactified vacuum before a subsequent four-dimensional inflationary phase dilutes the curvature remnant.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"The assumption that bulk quantum fields in the 5D S^1 compactification generate both the late-time stabilizing Casimir contribution and the early-time Kaluza-Klein thermal contributions in a reliable semiclassical regime, and that the open FRW background plus tracker solution accurately captures the essential dynamics.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"Negative curvature sustains tracker-like radion evolution in a 5D open FRW universe, enabling trapping into a compactified vacuum via Casimir and Kaluza-Klein thermal effects before 4D inflation dilutes curvature remnants.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"Negative curvature sustains tracker-like evolution of the radion, trapping it in a compactified vacuum before four-dimensional inflation.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"041862f79cd5b2b95f260d359c03e69e355b661e53ac934df25960256e39eafd"},"source":{"id":"2604.25569","kind":"arxiv","version":2},"verdict":{"id":"2510d46c-f4ae-4b82-92ea-658a24cc4276","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-07T15:49:53.705641Z","strongest_claim":"We show that negative curvature can sustain tracker-like radion evolution, allowing the radion to be trapped in a compactified vacuum before a subsequent four-dimensional inflationary phase dilutes the curvature remnant.","one_line_summary":"Negative curvature sustains tracker-like radion evolution in a 5D open FRW universe, enabling trapping into a compactified vacuum via Casimir and Kaluza-Klein thermal effects before 4D inflation dilutes curvature remnants.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"The assumption that bulk quantum fields in the 5D S^1 compactification generate both the late-time stabilizing Casimir contribution and the early-time Kaluza-Klein thermal contributions in a reliable semiclassical regime, and that the open FRW background plus tracker solution accurately captures the essential dynamics.","pith_extraction_headline":"Negative curvature sustains tracker-like evolution of the radion, trapping it in a compactified vacuum before four-dimensional inflation."},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2604.25569/integrity.json","findings":[],"available":true,"detectors_run":[{"name":"ai_meta_artifact","ran_at":"2026-05-21T04:38:06.963109Z","status":"completed","version":"1.0.0","findings_count":0},{"name":"doi_compliance","ran_at":"2026-05-19T20:57:17.623999Z","status":"completed","version":"1.0.0","findings_count":0}],"snapshot_sha256":"6eb4a3841a02ec92d7835a3324d979a5e3fbabe964b5c3ec3b70aeb99ababcd5"},"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"}