{"record":{"author":{"account_ref":null,"orcid":null},"builds_on":[],"content_schema":"pubphys.content.revision/1","content_sha256":"385bdaefa261270fdfac53b7722737ad2c04d284725ae184e3bcedb9fefd9a69","created":"2026-10-03T07:18:01Z","files":[],"origin":{"assisted_by":[],"kind":"seed"},"parents":["5475cf5dc5b1a72283d26dc95dc6e00d7ea4e00096a7c6492e409a1816eeb011"],"salt":"eb980b521283b8089fc91b3f1c48fe4552614c81184410cb2c5fa15aee1fa251","schema":"pubphys.record/2","site":"pubphys.com","target":null,"type":"revision"},"content":{"answer_type":"identification","assisted_by":[],"external_id":"cm.syk-holography.clean-lattice-realization","kind":"well-posed","literature_status":"open","n":"1","parents":[],"plain":"SYK needs random couplings among all particles, which no real material has. It is unknown whether an ordinary non-random lattice with short-range interactions can behave the same way at low temperature.","posed_since":"","precise":"Find a translation-invariant lattice Hamiltonian with finite-range interactions and no quenched disorder whose low-temperature regime shows SYK signatures: fermion Green function $G(\\tau) \\sim \\tau^{-1/2}$ over a parametrically wide window, a large residual entropy density before a crossover scale, and Lyapunov exponent approaching $2 \\pi k_{B} T/\\hbar$. Answer: an explicit model with controlled evidence, or an argument that none exists.","problem_ref":null,"references":"","settled_by":"Controlled numerics or an exact solution demonstrating these three signatures in a specific clean model.","status_note":"","title":"A clean local lattice model with SYK low-energy physics","topic_ref":"3fefc56db1490dbc6700edd77c75843cae3c791bf1671e7876ab95cb15798bfa"},"attested":{"attestation":{"batch":null,"client_id":null,"id_token_sha256":null,"kind":"platform"},"record_hash":"ad8b39be947d7ead63bfaac16411db848c75547c996c80d49a08e7e8e0676ef5","schema":"pubphys.attested/1"},"envelope":{"attested_hash":"cbf3880570db8aa024fb3dec26f269d8d5eaae1a3736ebaac20fc256dd5e180c","platform_signature":{"key_id":"c6afc19b31429869751f06879c75cd64ea92654423d15b44be775bf1310a60da","sig":"qeoVkLq-lfErKGSUEBQvERyh8QoKararqOJ5P76rwNh8jVV4AArcGQxvY7qCBK5MlnSRieWkffTAeYPyptgcDQ"},"schema":"pubphys.envelope/1"},"record_hash":"ad8b39be947d7ead63bfaac16411db848c75547c996c80d49a08e7e8e0676ef5","leaf_index":1185}