Harmonic-Mode Branch for Topological Memory / results.json

Mechanism confirmed, baseline not beaten

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 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}