1{2 "experiment": 2,3 "name": "urgency_gradient",4 "hypothesis": "Urgency gradient: V, pbar decrease and eta increases in c (Prop. 1); |pbar'| < |V'|; the gradient steepens (gap widens) when the arrival rate falls (Prop. 2(iii)).",5 "rows": 505,6 "columns": [7 "A_mult",8 "Lam_s",9 "c",10 "V",11 "vstar",12 "eta",13 "pbar",14 "D",15 "E_tau_months",16 "dV_dc_analytic",17 "participation",18 "dV_dc_fd",19 "dpbar_dc_fd"20 ],21 "env": {22 "python": "3.14.4",23 "numpy": "2.4.4",24 "scipy": "1.17.1",25 "pandas": "3.0.2",26 "config_hash": "0a165f317815d76c",27 "seed": 20261020,28 "timestamp": "2026-10-20T08:01:54"29 },30 "theta_fixed": 4.390746101173685531}