Эксперимент: Compactified Burst Controller (#374)

{ "worked": true, "confidence": 9, "verdict": "Built a readable 2D homogeneous cubic burst simulator with infinity-atlas diagnostics and gated softplus radial damping. The core math manifested: finite-difference a(u*) and tangent eigenvalue matched predictions to 1e-12, radial threshold-time scaling matched the cubic blow-up law within 8e-5 relative error, and angular slopes matched beta within 1.25%, including the stable negative-beta case. The predicted finite-horizon onset boundary alpha=0.8203 was observed between 0.8 and 0.9; in burst regimes the controller prevented numerical failure and held max radius near 2.2-3.0 versus vanilla failure or large excursions.", "metrics": { "baseline": "Vanilla cubic field: alpha=1.2, 1.6, 2.0 all failed before T=0.8 with recorded max radii 2.96e16, 1.84e18, and 5.69e9; alpha=0.8 remained bounded at max r=1.881.", "idea": "Controlled field: alpha=1.2, 1.6, 2.0 did not fail, with max radii 2.209, 2.411, and 3.009; interventions began at t=0.547, 0.410, and 0.328 respectively. At alpha=0.8 the controller did not intervene and matched vanilla exactly." }, "how_to_run": "/home/maxwelhelp/main/bin/python3 burst_controller_experiment.py", "files": [ "burst_controller_experiment.py", "results.json" ], "limitations": "This is a deterministic 2D toy cubic vector field, not a trained RNN, copy/addition task, adaptive ODE solver, or FLOP/speed benchmark. The controller uses an instantaneous angular-equilibrium gate rather than implementing EMA growth estimates or periodic Jacobian estimation, and the burst prevention result is not evidence of end-to-end neural-network training gains." }