{"record":{"author":{"account_ref":null,"orcid":null},"builds_on":[],"content_schema":"pubphys.content.revision/1","content_sha256":"597fe81eda2db023c7487b34e2cfb47e2edea48a6600f1165c80060c02afe1c0","created":"2026-10-15T23:43:22Z","files":[],"origin":{"assisted_by":[],"kind":"seed"},"parents":["ce59fb6cd812fc05906d0c60a71c75ea22bc686bcf38e7c3ef7010834d98ee7b","e6e90046c5d39ef1a2651d1dff847c0b57fc2bd8447dc99defbd18bc0547e521"],"salt":"599085610d440166674a91341a155100325cd9c9de4564e4614e6ab2a4e2929e","schema":"pubphys.record/2","site":"pubphys.com","target":null,"type":"revision"},"content":{"answer_type":"yes-no","assisted_by":[],"external_id":"beams.nonlinear-dynamics.early-chaos-indicators","kind":"well-posed","literature_status":"open","n":"2","parents":[],"plain":"Quick tests of chaotic behavior over a few thousand turns could replace expensive long simulations if they reliably flag the orbits that eventually escape.","posed_since":"","precise":"For realistic hadron collider maps, determine whether indicators computed over $10^{3}$ to $10^{4}$ turns (frequency-map diffusion, finite-time Lyapunov exponents, reversibility error, or machine-learned combinations) classify initial conditions stable for $10^{6}$ to $10^{8}$ turns with misclassification below 1 percent, and identify where in amplitude space they fail.","problem_ref":"e6e90046c5d39ef1a2651d1dff847c0b57fc2bd8447dc99defbd18bc0547e521","references":"","settled_by":"A benchmark on several lattices comparing indicator classifications with long-term tracking outcomes.","status_note":"","title":"Do short-time chaos indicators predict long-term orbit stability?","topic_ref":null},"attested":{"attestation":{"batch":null,"client_id":null,"id_token_sha256":null,"kind":"platform"},"record_hash":"9d94784b53a9994707ecaee0bc1087dd17fd565e809f21b88ca8d739e3084a3e","schema":"pubphys.attested/1"},"envelope":{"attested_hash":"ef427df6f2e687a553d042e036d250c0632a51345905ac31caf4ea3dafa268e0","platform_signature":{"key_id":"c6afc19b31429869751f06879c75cd64ea92654423d15b44be775bf1310a60da","sig":"Zi71j0w0iBj3YzQ7JVUACeW-pFQti7MpGe4EXLqk8oaKr79pkipQ23LyRAzAZu05QlV9Kn47zvjzIgczFIctCw"},"schema":"pubphys.envelope/1"},"record_hash":"9d94784b53a9994707ecaee0bc1087dd17fd565e809f21b88ca8d739e3084a3e","leaf_index":2498}