{"schema":"pubphys.bundle/1","record":{"author":{"account_ref":null,"orcid":null},"builds_on":[],"content_schema":"pubphys.content.revision/1","content_sha256":"cb8ff2b8435e477ab09cf85ba587181dcffeaef60869169a00c677bd540573bd","created":"2026-10-03T07:18:04Z","files":[],"origin":{"assisted_by":[],"kind":"seed"},"parents":["5475cf5dc5b1a72283d26dc95dc6e00d7ea4e00096a7c6492e409a1816eeb011","d688812b1bee9ce3b27f7a45bbba9ae0b1eef393362910a295fe39a39ed51955"],"salt":"d5647ddbf20dbca8754f956d8b7cbedf2c90e0c83c9c6ddd46107e8f62a53b27","schema":"pubphys.record/2","site":"pubphys.com","target":null,"type":"revision"},"content":{"answer_type":"value","assisted_by":[],"external_id":"grav.bh-microstates.log-correction-match","kind":"well-posed","literature_status":"open","n":"1","parents":[{"note":"","parent_revision":"d688812b1bee9ce3b27f7a45bbba9ae0b1eef393362910a295fe39a39ed51955","relation":"special_case"}],"plain":"Beyond the area law, quantum effects add a small correction proportional to the logarithm of the area, with a coefficient that gravity alone determines. Any correct microscopic count must reproduce this number.","posed_since":"","precise":"One-loop Euclidean gravity gives $S = A c^{3}/(4 G \\hbar) + C \\operatorname{ln}(A/\\ell_{P}^{2}) + ...$, with $C$ fixed by the massless spectrum and the ensemble; Sen (2012) computed $C$ for Schwarzschild and Kerr in various dimensions. Reproduce $C$ from a microscopic count for a non-extremal black hole in some UV-complete theory. An answer is a microscopic derivation of $C$ agreeing with the macroscopic value.","problem_ref":null,"references":"","settled_by":"A microscopic computation of the logarithmic coefficient for a non-BPS black hole that agrees with the one-loop gravity result.","status_note":"Macroscopic coefficients are known since 2012; microscopic matches exist only for BPS black holes as of 2026.","title":"Match the logarithmic entropy correction of non-extremal black holes 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