{"schema":"pubphys.bundle/1","record":{"author":{"account_ref":null,"orcid":null},"builds_on":[],"content_schema":"pubphys.content.revision/1","content_sha256":"658a0aa15ef9e9ec3c2fc9e534e65d0a61c308e43c60f2d4832d8a9c45669c31","created":"2026-10-03T07:18:00Z","files":[],"origin":{"assisted_by":[],"kind":"seed"},"parents":["5475cf5dc5b1a72283d26dc95dc6e00d7ea4e00096a7c6492e409a1816eeb011"],"salt":"dc72ef0dc474e8f12cdb004571f854c7837185c810a4e27f3ca03fa83c41cc0f","schema":"pubphys.record/2","site":"pubphys.com","target":null,"type":"revision"},"content":{"answer_type":"classification","assisted_by":[],"external_id":"cm.nonthermal-fixed-points.universality-classification","kind":"well-posed","literature_status":"partially-resolved","n":"1","parents":[],"plain":"Experiments in one-, two- and three-dimensional atomic gases find self-similar stretching of correlations, with exponents that differ between systems. Which distinct universal classes exist, and what selects the class, is not known.","posed_since":"","precise":"In an isolated Bose gas after a quench, the momentum occupation obeys $f(k,t)=t^{\\alpha} f_s(t^{\\beta} k)$ in a scaling window. Determine the set of fixed points ($\\alpha, \\beta$ and the scaling function $f_s$) and the properties that select them: dimension d, number of field components and symmetry (scalar or spinor), conservation laws, and topological defects. Experimental inputs: 1D (Erne et al., Nature 563, 225, 2018), spinor (Prufer et al., Nature 563, 217, 2018), 3D homogeneous (Glidden et al., Nature Physics 17, 457, 2021). Answer: a classification with computed exponents matching the measured ones.","problem_ref":null,"references":"","settled_by":"A renormalization-group or kinetic theory predicting $\\alpha$ and $\\beta$ for each experimental system, confirmed by measurements in which $d$ or the symmetry is varied.","status_note":"Wave-kinetic and defect-dominated fixed points are identified in theory; not every measured exponent set is matched to a predicted class (moderate confidence).","title":"Classification of nonthermal fixed points and their scaling exponents","topic_ref":"35186f9e2deef9f8d2782c17ad7162983dedfc7f904b938244b253e7e8dca1d3"},"content_withheld":"false","files":[],"attested":{"attestation":{"batch":null,"client_id":null,"id_token_sha256":null,"kind":"platform"},"record_hash":"53307f8d4e492fd5c57cb409f68e6e93ca917a75d66291e45a240f921213cd6c","schema":"pubphys.attested/1"},"id_token":null,"id_token_withheld":"false","envelope":{"attested_hash":"fe28dbdef22a21f48c3d8398d51eab69a373f4bfa43896e0ec259648f450bbc4","platform_signature":{"key_id":"c6afc19b31429869751f06879c75cd64ea92654423d15b44be775bf1310a60da","sig":"mJmjJVQS121LT2bkJbqto83pVvMiZj12I-QO0jxmdpR4nQ4KsFqJJaqG01eQaogG9qWgosYv2mWdVxurUexmDw"},"schema":"pubphys.envelope/1"},"ots":{"attested":["AE9wZW5UaW1lc3RhbXBzAABQcm9vZgC_ieLohOiSlAEI_ijb3vIqIfSMPYOY1R6raaNz9L-kOJbg7CWWSPRQu8TxIP4lSbPLC89rr0Tv0n5hsC3KGr-VVw9B57LFISt76BI7CPEgnGoqsiqHJuKRYo7zG65G113T9Fgv08pbSKUvOYmMQjII8SAtwSAIh-aPiuh55F48mbJBVEpJeUmgP3_UTj6ZP7DszgjwIFsRhutcQWuAG75San2g4prE1kX8-DvGA82lLlUXq_oSCPEgNkPCpgpC4zvABOplxFJVZimN2gXfnDVmzm6IlpqCUU8I8SB1gnMuHKjYyYEH6pK5ss4L_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_ieLohOiSlAEIyauDO3jVXH4AWSpomBDx6g6Nm31SauITjl1J0M774WrwIMnKLZm4H88fOrLj1b3RxIUFKnn_ImkJc5oSvh6DAqaACPAg2KB7IJo-3f-3AM46aKr-syPVfInKhulP0mDz4tCOnnsI8CDS5-rl1UqElN4gs0nfpBoS5FfgUw1v5fRJLvseb9zkKAjwIA38ZCEryPgNkQqq5rfTSsuazO6Io35h019VXeiVrifTCPAgS4kMrKIDzIG0Wr0zSque1qYDJYUWpcudLUYhSbbQT1YI8CDwsthQWWOyvu9lztUNayTaSzCxIYIzi3dDsbB-jDV1ogjwICJgTYAx5GAWJT0l-Ou1uIHVdFjM3FtDqPDP2yh8SbKiCPAgrGIpQ0CZF7I2nODzSAkfB7ntmI6Mbb3vJr0ZuU9dTawI8SDw6LQ-RfhPE_v83K9oKkOzbHhdxc-f1_76FJQHtj9gCwjwIG_qk_muz-jg8UolhZs34aKKg3vvCTOQfEn-hyT2gbIDCPEgUZCxxJx-baWw4JFRfzCCtSjPn4ATBx_3FQi1O2Yo4-8I8SAQuuTPkAGyvS_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":"1117","tree_size":"2123","proof":["b93ce764bd99175a6854081058886ba9506c3d3ffe7fb4ea0351e02dee408b38","365db6d1d929d5842ac57bdfee7ae442426e8e577e131e95f79d22207605e6b6","c1ba7e942f0cfcfa77417e3884ee3168cd1ad15e6df6ddc64ee0b4913e65f01d","06dd821328da8f2d0299b627357e108dc0fc02980d9013706bae32196d5246fa","ec53092a6dfc88f0fe545b9c3b67d6a12fc1c9d7a12357c8e3948c532347bb73","27b4eae168678a6173d5ce9c54eda7917511c1f27d75b45a1f56db9e35774f06","8c744307c4006e8c84b2c04a916e34528e5285bf817b8e244af98f2accbb7f78","c751b8694ce55cd52975a9d31b1bc5d9c7a7aab6f8b6a2f7543a9eea8fd786f4","52a4f6babf22d33518342a16424be6ca663e70c9dc9fa28b80fd392ab314d00b","46022fbfd43c5aec3acbe84cb58891547da533c0320c5435c86490a040251104","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}