{"paper":{"title":"Curved spacetimes from quantum mechanics","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","headline":"","cross_cats":["quant-ph"],"primary_cat":"gr-qc","authors_text":"L\\'aszl\\'o B. Szabados","submitted_at":"2025-02-11T16:13:23Z","abstract_excerpt":"The ultimate extension of Penrose's Spin Geometry Theorem is given. It is shown how the \\emph{local} geometry of any \\emph{curved} Lorentzian 4-manifold (with $C^2$ metric) can be derived in the classical limit using only the observables in the algebraic formulation of abstract Poincar\\'e-invariant elementary quantum mechanical systems. In particular, for any point $q$ of the classical spacetime manifold and curvature tensor there, there exists a composite system built from finitely many Poincar\\'e-invariant elementary quantum mechanical systems and a sequence of its states, defining the class"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2502.07668","kind":"arxiv","version":1},"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/2502.07668/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"}