{"record":{"author":{"account_ref":null,"orcid":null},"builds_on":[],"content_schema":"pubphys.content.revision/1","content_sha256":"dc94a0c9c519db90088612929d5d29517774d22db94431a14731b0a75aecd49b","created":"2026-10-15T23:43:22Z","files":[],"origin":{"assisted_by":[],"kind":"seed"},"parents":["ce59fb6cd812fc05906d0c60a71c75ea22bc686bcf38e7c3ef7010834d98ee7b","d91c8ab410e4e7e8b51f4f6b34886d1eb3983b20bf4ab20c8980bf7bdfd31196"],"salt":"445182de8d17573b37706781a5f3cf94f735b17c05673dccca1cb2023e862db6","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":"2","parents":[],"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 $S = A c^{3}/(4 G \\hbar) + C \\ln(A/\\ell_{P}^{2}) + ...$, 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":"d91c8ab410e4e7e8b51f4f6b34886d1eb3983b20bf4ab20c8980bf7bdfd31196","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 microscopically","topic_ref":null},"attested":{"attestation":{"batch":null,"client_id":null,"id_token_sha256":null,"kind":"platform"},"record_hash":"03387d173e3a482e230c34de482df67b9771f4dbabe05fc8a6f4a6d5d7eedeac","schema":"pubphys.attested/1"},"envelope":{"attested_hash":"c5a6a2cf6979801339b18ad854355f9d57ba5c7383098936234a824f6a36960f","platform_signature":{"key_id":"c6afc19b31429869751f06879c75cd64ea92654423d15b44be775bf1310a60da","sig":"nATWR-XfcaZ1dtcQM--5lfAQsZYCtG5svp-yn1h-AUrqebQnX45Pqs0eyBVc1GNFYRYIm5oR8HHiUhRk6-ZZDA"},"schema":"pubphys.envelope/1"},"record_hash":"03387d173e3a482e230c34de482df67b9771f4dbabe05fc8a6f4a6d5d7eedeac","leaf_index":3300}