{"record":{"author":{"account_ref":null,"orcid":null},"builds_on":[],"content_schema":"pubphys.content.revision/1","content_sha256":"5226e5aea63527044b050b015448e140fca44dcdeb99d864fcecc788069ca7e5","created":"2026-10-03T07:17:56Z","files":[],"origin":{"assisted_by":[],"kind":"seed"},"parents":["5475cf5dc5b1a72283d26dc95dc6e00d7ea4e00096a7c6492e409a1816eeb011"],"salt":"0dee967797d5db215ceac4208f0e1ed711f9eb382c358b3fd78271a21fdd13f1","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":"1","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 1e3 to 1e4 turns (frequency-map diffusion, finite-time Lyapunov exponents, reversibility error, or machine-learned combinations) classify initial conditions stable for 1e6 to 1e8 turns with misclassification below 1 percent, and identify where in amplitude space they fail.","problem_ref":null,"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":"7c02bc0932cd39db40c654c1af162e4d605ebff51574000fcd91aa1d4d9677ff"},"attested":{"attestation":{"batch":null,"client_id":null,"id_token_sha256":null,"kind":"platform"},"record_hash":"e6e90046c5d39ef1a2651d1dff847c0b57fc2bd8447dc99defbd18bc0547e521","schema":"pubphys.attested/1"},"envelope":{"attested_hash":"e917b2438fdd0ba9f0a86e0a55fcd94634c6d7903de92f3476488c4e931658fc","platform_signature":{"key_id":"c6afc19b31429869751f06879c75cd64ea92654423d15b44be775bf1310a60da","sig":"jmNnow3CpBvOr23gxhEWhxRJRihQhWBi4kJEBhUMPqSSww32ypVgmK2h1YeTlOz0_8JJ9PATLe4Baqh_Q_26CQ"},"schema":"pubphys.envelope/1"},"record_hash":"e6e90046c5d39ef1a2651d1dff847c0b57fc2bd8447dc99defbd18bc0547e521","leaf_index":679}