Harmonic-Mode Branch for Topological Memory / results.json
Mechanism confirmed, baseline not beaten
1{
2 "operator_dim": 12,
3 "harmonic_dim": 2,
4 "lambda_1_positive": 0.35,
5 "lambda_max": 11.0,
6 "predicted_euler_boundary_dt": 0.18181818181818182,
7 "prediction_1_invariant_max_error": 1.047377077559181e-14,
8 "prediction_1_tolerance": 1e-12,
9 "prediction_2_decay_sweep": [
10 {
11 "nu": 0.25,
12 "predicted": -0.0875,
13 "observed": -0.0875383035953938,
14 "abs_error": 3.830359539380712e-05
15 },
16 {
17 "nu": 0.5,
18 "predicted": -0.175,
19 "observed": -0.1751533038806345,
20 "abs_error": 0.0001533038806345033
21 },
22 {
23 "nu": 0.9,
24 "predicted": -0.315,
25 "observed": -0.3154971693301189,
26 "abs_error": 0.0004971693301188962
27 },
28 {
29 "nu": 1.4,
30 "predicted": -0.48999999999999994,
31 "observed": -0.4912044361020623,
32 "abs_error": 0.0012044361020623895
33 },
34 {
35 "nu": 2.0,
36 "predicted": -0.7,
37 "observed": -0.7024614936964454,
38 "abs_error": 0.002461493696445438
39 }
40 ],
41 "prediction_3_stability_sweep": [
42 {
43 "factor_of_boundary": 0.9,
44 "dt": 0.16363636363636364,
45 "predicted": "stable",
46 "observed": "stable",
47 "final_norm": 2.2085588309731336e-08
48 },
49 {
50 "factor_of_boundary": 0.99,
51 "dt": 0.18,
52 "predicted": "stable",
53 "observed": "stable",
54 "final_norm": 0.20270290824699222
55 },
56 {
57 "factor_of_boundary": 1.01,
58 "dt": 0.18363636363636365,
59 "predicted": "unstable",
60 "observed": "unstable",
61 "final_norm": 4.779842309898795
62 },
63 {
64 "factor_of_boundary": 1.1,
65 "dt": 0.2,
66 "predicted": "unstable",
67 "observed": "unstable",
68 "final_norm": 1800190.3850087067
69 }
70 ],
71 "comparison": {
72 "split_harmonic_retention": 0.9999999999999953,
73 "fully_damped_harmonic_retention": 0.00029260991417110344,
74 "split_dissipative_final_norm": 0.058456375319249396,
75 "fully_damped_final_norm": 0.05845787843967648
76 },
77 "claims": {
78 "harmonic_invariant": true,
79 "decay_scaling": true,
80 "euler_boundary": true
81 }
82}