{"schema":"pubphys.bundle/1","record":{"author":{"account_ref":null,"orcid":null},"builds_on":[],"content_schema":"pubphys.content.revision/1","content_sha256":"ae412eb46992e9644983cd31777d4a93feddf163df6784062f018bc2488abd89","created":"2026-10-03T07:18:09Z","files":[],"origin":{"assisted_by":[],"kind":"seed"},"parents":["5475cf5dc5b1a72283d26dc95dc6e00d7ea4e00096a7c6492e409a1816eeb011","db36ffbc79f4164eb5fca1b1571721847649278015dd6cb1de0d84d0aec56c30"],"salt":"187bf0ccf20e1a1a140f51f132bc12c8bb0223d8d65ad40a66f48dbda8226372","schema":"pubphys.record/2","site":"pubphys.com","target":null,"type":"revision"},"content":{"answer_type":"identification","assisted_by":[],"external_id":"qft.non-ads-holography.ds-entropy-count","kind":"well-posed","literature_status":"open","n":"1","parents":[{"note":"","parent_revision":"db36ffbc79f4164eb5fca1b1571721847649278015dd6cb1de0d84d0aec56c30","relation":"special_case"}],"plain":"The horizon of an expanding universe has an entropy proportional to its area, just like a black hole. Which quantum states it counts is unknown.","posed_since":"1977","precise":"The Gibbons-Hawking entropy of a d-dimensional de Sitter horizon is $S = A c^3/(4 G \\hbar)$ with $k_B = 1$. Find a statistical system whose state count reproduces S including the one-loop logarithmic correction computed by Anninos, Denef, Law and Sun (2020).","problem_ref":null,"references":"","settled_by":"A microscopic system with a derived match of the leading area term and the logarithmic correction.","status_note":"The static-patch algebra of observables was shown to be of von Neumann type $\\mathrm{II}_{1}$ with a maximum-entropy state (Chandrasekaran, Longo, Penington, Witten 2022), without a microscopic count.","title":"Microscopic count of de Sitter horizon entropy","topic_ref":"4447f2d48104cd4793e366a0c17a947b19173f616f89b118e14ec361109b57ad"},"content_withheld":"false","files":[],"attested":{"attestation":{"batch":null,"client_id":null,"id_token_sha256":null,"kind":"platform"},"record_hash":"97d827659d3d54657f570adf7518309235c3fcebc0bf86bf2e13c8ee876a635b","schema":"pubphys.attested/1"},"id_token":null,"id_token_withheld":"false","envelope":{"attested_hash":"fe45591aa0bbc5fa562bb73182df2774bea393198b8bdf586c8e2e79f82a464f","platform_signature":{"key_id":"c6afc19b31429869751f06879c75cd64ea92654423d15b44be775bf1310a60da","sig":"pQiC_6NekVXkFtAMZ8iaHt4zSRT_oMCpBSCNKydOna9Fn0Bt9jo7dWrOMZ74BMZxh_Nintdsyy0X9O-ZXCjZCA"},"schema":"pubphys.envelope/1"},"ots":{"attested":["AE9wZW5UaW1lc3RhbXBzAABQcm9vZgC_ieLohOiSlAEI_kVZGqC7xfpWK7cxgt8ndL6jkxmLi99YbI4uefgqRk_xIP434Cz_88A64iZNaHifux7JPOODYzWS7uqTbjXthmfnCPAggdv9dd5uXix-LebYHE8hDgS9BzQ1ZPNfS5R_F2FnB24I8CAdKOA7GLYMlkZS0g1CIlDrwKvRCVF4wEXlhNgTo1qBpwjxIDQ73w_AxJwmnvvbULO-KDocvqaB4NXC2WpDePU3xxpTCPEgNkPCpgpC4zvABOplxFJVZimN2gXfnDVmzm6IlpqCUU8I8SB1gnMuHKjYyYEH6pK5ss4L_8V-WpObC2ME3oNqzzsLJgjxIDw2hg1qdDydhhjH6mZjMdenhwId6zSvMpuoX8MaafOjCPAgwaB6v5-rgNtbRovqByHYFx5vLPaMlAE1dmQXdsyW6UQI8SDWlL7IzfO_cwYxfadaDmoPVp0tptPmw2XmYaU4JMe_wgj_8Ah24IVYDhTLjQjwED2StpR20zKnAmFKLczkHJkI8CCe67kSLOh57nysQqZi1IHlJdGlLtKL-P9z6nKaUvm3XQjxICOd9Lx83cM_96PY2EN1mm5UmleuFn5-z5m8uVi8iPgNCPEEasCsO_AISExe0692tcT_AIPf4w0u-QyOLCtodHRwczovL2JvYi5idGMuY2FsZW5kYXIub3BlbnRpbWVzdGFtcHMub3JnCPAgV1njYlhVpbXxxNJ5A17FSiMpFFMLjm4bJzftn7wbffII8CDOVX-4-vLDhYFcrGDHOUtPR4aPn6sWFt6EOKClF-yaTwjwIGihx0Ad7HXfcNYbuDTIe75m_qdF9q-LslSigo9Ru0tvCPEgFtjIOgc4vcoI664yGAe8PdH8DHMR9uErKi5sz8gDBn8I8CDEPOt85b3mCKTSlla2WgzmuL6MMKDoNgnE1vIF7cSt3QjxIK2cRhgH_rfI4c_3izFMgTdSITa3WA0XDR1r0HMDRvcKCPAglTlBxtWF7nW2hSIFGL6wiHr0Vr29rm4UAKPs9Hbg9K0I8SAwXinq1RpDtydnlw8Ha2koqF2yFrHSDxDdbPKSMCSEtgjwIFdpAd59yWeR8AUI6US9Qlip6r3Qo2ZN0XAC5OjdsB4oCPAgfsG5YzZX6hJQ9ubmZDYOrWkvNWA0VNr3zKhlUONtDvQI8VkBAAAAASTON1FOjCzEaz5QlKqLLL7tav5J6J7Ocspclk4MWc1lAAAAAAD-____Ai4AAQAAAAAAFgAUK2LdxOzpZSkQhJi9xS-fPZe_P-cAAAAAAAAAACJqIPAE4ssOAAgI8SC5m3CDu4sb96QrcFDGdVUBirrOeBfZWfPsORAg-WboiAgI8CBuspwshUyzxO0YJPtGRgrQQ8qjUMfGL2kmTR8vA_KfIwgI8CDF_M6A9gXtWFr3Mf23sVT0ZgV9ISvnaPG_LfUmq4pkFQgI8SBul7aaiBHJS5Yc3CtS1Y6qDxq445i58p6PLXBEzMxAhAgI8CBeppX1zhWOdSYayuHs3vM0JSle-TmGWKm7covAVsZgLAgI8CCilHCZlaM_rvoHokVf_mR3RdFRD12hDxVn_yV_9HuxtggI8SBjHg9GeUFjSgXABKR4bdNOxRSCC1umkifH9wjJCjbJ3ggI8CARa-iXvK5Ae5MITxm6tMkYBcGbL1vSYWObFw0ba6tEMAgI8CABwMF2rrPslICiAiQeZlb8fFWbiYI8J6W9Klj4NaYugwgI8SACYW_HHn5FR0wDMpnbMWvv4vrVLmuti3KQC0Jzxu0ffwgI8CA77BagYT3wC-kwrV2Xe4AVpjKceoomflINCX_y5XLLYAgI8CAyUQV-kNFYHvq2vpNf4O-siVkxKellhddyNyaU57GTyQgI8CC8pGQm5AvVUIJeYMrTyioq-k_Z07ykestOYlkhwU0IMwgIAAWIlg1z1xkBA-OXO_AIfrBm5kAMH2cI8BAGKsbR52Yj2ZyRBj8fybyrCPEg15Kg4Ne2LGSKxM-WnEce5gVwiluZijYEWJ8P_lNnKQ4I8QRqwKw68AhHyujKJ6ONvP8Ag9_jDS75DI4uLWh0dHBzOi8vYWxpY2UuYnRjLmNhbGVuZGFyLm9wZW50aW1lc3RhbXBzLm9yZwjwINdJ8ieiZ-JLIUEEAihNC7494QQupy0QVSM2j1eHofFcCPAgkGgKlpcRG2nP1zqtTDpX_YjihxLMV7Kc24ytLy6cvAcI8CCN4kW0V1HA8a4QHZGZhZSNeZ8kgkhGe4PdtrRdV5Z-QwjxIGGL2dS-L-Kz7v1Ki33Bz7cEm9jh9hoT4FXFYYR-g6ZECPAg2QiKEdtLAvrnIT-NKAJnC5vRCRVe8c8KZY-eAHlWnV0I8SC7ywYzxaQqM9vZvWH9qkZ1ezyPRqsRPKM1UH5PUMAqqwjxIGV3DLnbxKAfzCfLajltjy0ygCHkAZxPtW386bUXNoEfCPFZAQAAAAH16vm5sVqjs-wecCpMI8xxr9keLO2NGe-i6l1mDYZs9AAAAAAA_v___wL9HAAAAAAAABYAFJfrJJnWQ7Z-x57m-pheBz9rlZ-6AAAAAAAAAAAiaiDwBODLDgAICPAgQ5kLGxF3OOh7vA4r4QgTNSxhMWuE0zPsKOx6aAlYwU0ICPAgrcub5ELTx887PMagKzmIVUo4Gg6BtaLt3KI7-fz-8EEICPEg0FgdJHVwk8G5Pk6k7dEH0TMswzSzrVNV1xYLxkkZVvMICPAgtjymv0AiAWba16HatRnRM6aSEjLDEQzp869oBYyyjgAICPAgsEP0Beu23BZP7idrNFQmZn-TxiI05kwqbf6p1WOaf_AICPEgG88se8_qMTzI7uj77UIc6ySEMh9mQHPaMi7mHps25mUICPAguW4eye-LlJPda_C8Mmx0BQjQQtz1nrsLTAgjRSlo9fQICPEgH-Edk1DT42l_z1g1CJqaCEytCaFvPc2jCpw9cJRBIvAICPEgtrzZnZu3sj-WLZdck809J45YjHQC5dVYihvrN2xts7MICPAgqWyFTc9RhVV3SZNs3fNoQVKDRRXplDwbeyCXVhDnIj8ICPAgbWHUUHK7V9RbQptUsRe7MfuXDtOFPCs2yYfH6gZMkXgICPAgR7Nixpl-oCPpVe8qdUa1e_7Rn3YgQMJxBRegeslx8wEICPAgE6LVZm1wTAIsYWfkCsuUOJUdBbrHQP8HCAtU2wexpsQICAAFiJYNc9cZAQPilzs"],"envelope":["AE9wZW5UaW1lc3RhbXBzAABQcm9vZgC_ieLohOiSlAEIhQMhwcnN16Ige3zXPNBJEFFFKgz4ZnBYuONGkcX4DzHwIIUJGEig4h7Dj6th6irV_hWTwqaKU656Hy1R7LWHsS0_CPAgZNIj2j9MxSUK0LxcreFKuXGnbn6D_RWQk583V4MxyDUI8CDnnU69h9qxY_R5KBkvAzJkdKZt2t9sWaZjo2YY3jQYdgjwID8ZODCXAcd1Lgj9VlZ34_eO80xTD5u3j0-DRw_yZHrPCPAgCpYY7I7g56m_xDnCpsgi7rEsXRB6KwURAFXE2omWvKEI8CBv5njc1o8VkUW1h9TdY4lYcqcm37EqE8ZXXmc45d5xXwjwIGQYSuZUsYkZgKFsBKr4KJWnl2nOYRiwyOjDhPu8i5KpCPEg6l9bg5rJBhgK-4vMedKGYUZmbiRuOWgDBBHADwTF2sYI8CBxK_WraVEkFPQAC7yAevXyyf-CupxAva0AtHIOkj6nkwjwIIhzmnVeFxVHRiBmi7SsQd_gIBRvsrzzZf-fzyEkp8wnCPAgy6DmLQtIuWm-zrDRmaSy95vcFWsjvWyppQO7wIWrfC4I8SAQuuTPkAGyvS_wKMy9BtKvnki2puESdY2vXem8hT1uIQjwIBGYo5Vxy-d7U5zKv5vp3Ii7hJPH_BDLCzA13c47p9q7CP_wCHbghVgOFMuNCPAQPZK2lHbTMqcCYUotzOQcmQjwIJ7ruRIs6HnufKxCpmLUgeUl0aUu0ov4_3PqcppS-bddCPEgI530vHzdwz_3o9jYQ3WablSaV64Wfn7Pmby5WLyI-A0I8QRqwKw78AhITF7Tr3a1xP8Ag9_jDS75DI4sK2h0dHBzOi8vYm9iLmJ0Yy5jYWxlbmRhci5vcGVudGltZXN0YW1wcy5vcmcI8CBXWeNiWFWltfHE0nkDXsVKIykUUwuObhsnN-2fvBt98gjwIM5Vf7j68sOFgVysYMc5S09Hho-fqxYW3oQ4oKUX7JpPCPAgaKHHQB3sdd9w1hu4NMh7vmb-p0X2r4uyVKKCj1G7S28I8SAW2Mg6Bzi9ygjrrjIYB7w90fwMcxH24SsqLmzPyAMGfwjwIMQ863zlveYIpNKWVrZaDOa4vowwoOg2CcTW8gXtxK3dCPEgrZxGGAf-t8jhz_eLMUyBN1IhNrdYDRcNHWvQcwNG9woI8CCVOUHG1YXudbaFIgUYvrCIevRWvb2ubhQAo-z0duD0rQjxIDBeKerVGkO3J2eXDwdraSioXbIWsdIPEN1s8pIwJIS2CPAgV2kB3n3JZ5HwBQjpRL1CWKnqvdCjZk3RcALk6N2wHigI8CB-wbljNlfqElD25uZkNg6taS81YDRU2vfMqGVQ420O9AjxWQEAAAABJM43UU6MLMRrPlCUqossvu1q_knons5yylyWTgxZzWUAAAAAAP7___8CLgABAAAAAAAWABQrYt3E7OllKRCEmL3FL589l78_5wAAAAAAAAAAImog8ATiyw4ACAjxILmbcIO7ixv3pCtwUMZ1VQGKus54F9lZ8-w5ECD5ZuiICAjwIG6ynCyFTLPE7Rgk-0ZGCtBDyqNQx8YvaSZNHy8D8p8jCAjwIMX8zoD2Be1YWvcx_bexVPRmBX0hK-do8b8t9SarimQVCAjxIG6XtpqIEclLlhzcK1LVjqoPGrjjmLnyno8tcETMzECECAjwIF6mlfXOFY51JhrK4eze8zQlKV75OYZYqbtyi8BWxmAsCAjwIKKUcJmVoz-u-geiRV_-ZHdF0VEPXaEPFWf_JX_0e7G2CAjxIGMeD0Z5QWNKBcAEpHht007FFIILW6aSJ8f3CMkKNsneCAjwIBFr6Je8rkB7kwhPGbq0yRgFwZsvW9JhY5sXDRtrq0QwCAjwIAHAwXaus-yUgKICJB5mVvx8VZuJgjwnpb0qWPg1pi6DCAjxIAJhb8cefkVHTAMymdsxa-_i-tUua62LcpALQnPG7R9_CAjwIDvsFqBhPfAL6TCtXZd7gBWmMpx6iiZ-Ug0Jf_LlcstgCAjwIDJRBX6Q0Vge-ra-k1_g76yJWTEp6WWF13I3JpTnsZPJCAjwILykZCbkC9VQgl5gytPKKir6T9nTvKR6y05iWSHBTQgzCAgABYiWDXPXGQED45c78Ah-sGbmQAwfZwjwEAYqxtHnZiPZnJEGPx_JvKsI8SDXkqDg17YsZIrEz5acRx7mBXCKW5mKNgRYnw_-U2cpDgjxBGrArDrwCEfK6Mono428_wCD3-MNLvkMji4taHR0cHM6Ly9hbGljZS5idGMuY2FsZW5kYXIub3BlbnRpbWVzdGFtcHMub3JnCPAg10nyJ6Jn4kshQQQCKE0Lvj3hBC6nLRBVIzaPV4eh8VwI8CCQaAqWlxEbac_XOq1MOlf9iOKHEsxXspzbjK0vLpy8BwjwII3iRbRXUcDxrhAdkZmFlI15nySCSEZ7g922tF1Xln5DCPEgYYvZ1L4v4rPu_UqLfcHPtwSb2OH2GhPgVcVhhH6DpkQI8CDZCIoR20sC-uchP40oAmcLm9EJFV7xzwplj54AeVadXQjxILvLBjPFpCoz29m9Yf2qRnV7PI9GqxE8ozVQfk9QwCqrCPEgZXcMudvEoB_MJ8tqOW2PLTKAIeQBnE-1bfzptRc2gR8I8VkBAAAAAfXq-bmxWqOz7B5wKkwjzHGv2R4s7Y0Z76LqXWYNhmz0AAAAAAD-____Av0cAAAAAAAAFgAUl-skmdZDtn7Hnub6mF4HP2uVn7oAAAAAAAAAACJqIPAE4MsOAAgI8CBDmQsbEXc46Hu8DivhCBM1LGExa4TTM-wo7HpoCVjBTQgI8CCty5vkQtPHzzs8xqArOYhVSjgaDoG1ou3cojv5_P7wQQgI8SDQWB0kdXCTwbk-TqTt0QfRMyzDNLOtU1XXFgvGSRlW8wgI8CC2PKa_QCIBZtrXodq1GdEzppISMsMRDOnzr2gFjLKOAAgI8CCwQ_QF67bcFk_uJ2s0VCZmf5PGIjTmTCpt_qnVY5p_8AgI8SAbzyx7z-oxPMju6PvtQhzrJIQyH2ZAc9oyLuYemzbmZQgI8CC5bh7J74uUk91r8LwybHQFCNBC3PWeuwtMCCNFKWj19AgI8SAf4R2TUNPjaX_PWDUImpoITK0JoW89zaMKnD1wlEEi8AgI8SC2vNmdm7eyP5Ytl1yTzT0njliMdALl1ViKG-s3bG2zswgI8CCpbIVNz1GFVXdJk2zd82hBUoNFFemUPBt7IJdWEOciPwgI8CBtYdRQcrtX1FtCm1SxF7sx-5cO04U8KzbJh8fqBkyReAgI8CBHs2LGmX6gI-lV7yp1RrV7_tGfdiBAwnEFF6B6yXHzAQgI8CATotVmbXBMAixhZ-QKy5Q4lR0FusdA_wcIC1TbB7GmxAgIAAWIlg1z1xkBA-KXOw"]},"log":{"leaf_index":"1929","tree_size":"2123","proof":["9568cd2e3ba86afe6b894bf4a7b711b82ebe6196c61b6c6bebb35f3307e8bb59","365d2e951a329e9a78dcda7f0df110987e3979eceef4b52ef892afa62a8587fe","d21422f86312bbc72c43d5461ee64abc894e5c4f417fe3e7df32334281e8780b","c180f19853cd449692b7fd609f6251e96906d548560db46be61259260a01b733","dde05fa762660076c3ee8fa02c22d818a541b684ea64811193cb1b45f11fef68","741b54f0d0215476d37400065c242316d47460ee1832401a3cdf05dbbe7a5a57","ea8ef1b2108c3435140ef752ee5b5d3ff2f4d56a2fa70ebc8e5cdcf5a1ceeb71","d7d27dd04c95f43a1731a5e70153ff3ca2355d42fb83606a0239169940e818ff","89c88540ca484f1a3c3976a552c40aeb6520d68a5a5ecc248a08fd399e828af4","35f1d0a5e69da98f9992a5251e4e3df1933c2f26543c7a40b2681ecfa194443a","2b97406e15e4d451a5450b3b53b677749fe0fa759579146dbfa1544c1e61a0ed","addcf2e0ff7974e4aa99af5e30d409f90d9f4311a4d85f5baf3e125eeb45b4c1"],"checkpoint":"pubphys.com/log/v1\n2123\npXVcluz7BF4vgChQs6lShuU0386gCH0RxrC1sxyE3rI=\n\n— pubphys.com/log/v1 JFPwIOLzsUD22XoTVyTfk/FMVj/u3f3DxZk4V/Ws10KVSS+8WQSwhunQ//EAhyS9Td5CyM0E++85GMezmKd8240j9Q8=\n","promise":null},"orcid_key_evidence":[],"attesting":null}