Эксперимент: Non-Abelian Event-Order Memory (#1026)

{ "worked": true, "confidence": 9, "verdict": "Built a Rodrigues-update non-Abelian spin module and verified the core mechanism numerically. The matrix-exponential error and sphere-norm error were approximately 2.6e-15 and 2.0e-15; the AB-versus-BA effect scaled with exponent 2.005 (predicted 2), vanished exactly for parallel axes, and tracked axis misalignment with correlation 0.9999. In the fixed-count length-64 task, count and plain GRU stayed at 50% accuracy, while GRU-plus-spin reached 100%, providing a clear secondary task signal.", "metrics": { "baseline": "Count MLP: accuracy 0.500, test cross-entropy 0.6932; plain GRU: accuracy 0.500, test cross-entropy 0.6931.", "idea": "GRU-plus-spin: accuracy 1.000, test cross-entropy 0.0321. Mechanism checks: exponential-formula max error 2.55e-15, norm error 2.00e-15, small-angle exponent 2.005 vs predicted 2, parallel-axis order difference 0, axis-angle correlation 0.9999 vs predicted 1." }, "how_to_run": "/home/maxwelhelp/main/bin/python3 experiment.py", "files": [ "experiment.py", "results.json" ], "limitations": "Only a synthetic fixed-count AB-versus-BA classification task was tested, with one seed and one train/test split. No S4-like model, Chern-number computation, phase-grid diagnostic, FLOP/speed comparison, or larger/noisy sequence benchmark was evaluated." }