feat(shim): add unified RG receipt and test suite for BraidSpherionBridge

- unified_rg_receipt.json: RG derivation receipt (BraidSpherionBridge correspondence)
- rg_derivation.py: RG flow derivation from spike trains
- unified_rg_tests.py: test harness
This commit is contained in:
Brandon Schneider 2026-05-30 14:39:04 -05:00
parent 6600af4dbd
commit 91b75e9959

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{
"schema": "unified_rg_test_suite_v2",
"generated_at": "2026-05-30T13:57:02Z",
"rg_fixed_point": 1.2618595071429148,
"tests": [
{
"name": "Erdos unit distance",
"result": {
"lower_bound": 1.014,
"rg_bound": 1.2618595071429148,
"std_bound": 1.3333333333333333,
"gap_lower_to_rg": 0.24785950714291483,
"recurrence_coefficient": 0.14285714285714285,
"nine_pow_alpha": 15.999999999999998,
"note": "Algebraic identity 9^alpha=16 verified (tautology, not empirical)"
}
},
{
"name": "Burgers shock front",
"result": {
"D_measured": 1.203,
"D_std": 1.0,
"D_rg": 1.2618595071429148,
"D_infinite": 1.1965000000000001,
"D_inf_CI": [
1.1484298439127854,
1.2448633199949115
],
"spectral_measured": 1.9,
"note": "Non-monotonic data; spectral exponent favors standard"
}
},
{
"name": "Sine-Gordon beta^2",
"result": {
"beta2_std": 1.3333333333333333,
"beta2_rg": 1.2618595071429148,
"M_ratio": 0.8590033676455671,
"g_shift": 0.026294385530916814,
"note": "Prediction only. Falsification criteria specified."
}
},
{
"name": "Bitcoin blockchain",
"result": {
"D_block_interval": 1.155,
"D_rg": 1.2618595071429148,
"D_poisson": 1.5,
"classification": "engineered",
"note": "RG does not apply to engineered systems. No verdict recorded."
}
},
{
"name": "Boundary universality",
"result": {
"mean": 1.2574444444444444,
"std": 0.011392004993756715,
"n": 9,
"t_vs_alpha": 1.1626740071366124,
"p_vs_alpha": 0.2784688857773163,
"full_range": [
1.1,
1.45
],
"note": "Curated data; selection bias possible; full range wider"
}
}
],
"metrics": {
"Shock front D": {
"standard": 1.0,
"rg": 1.2618595071429148,
"measured": 1.203,
"rel_err_std": 0.20300000000000007,
"rel_err_rg": 0.046645055816224475,
"verdict": "RG"
},
"Spectral exponent": {
"standard": 2.0,
"rg": 1.2618595071429148,
"measured": 1.9,
"rel_err_std": 0.050000000000000044,
"rel_err_rg": 0.5057143756850984,
"verdict": "STANDARD"
},
"Boundary D (aggregate)": {
"standard": 1.275,
"rg": 1.2618595071429148,
"measured": 1.2574444444444444,
"rel_err_std": 0.01376906318082788,
"rel_err_rg": 0.003498854407704229,
"verdict": "RG",
"error": 0.011392004993756715
}
},
"scorecard": {
"rg_favor": 2,
"std_favor": 1,
"inconclusive": 0,
"tautologies_excluded": 1,
"significance_threshold": 0.1
},
"honesty_notes": [
"9^alpha=16 is algebraic identity (tautology), excluded from score",
"PIST test removed as duplicate of Erdos identity check",
"Bitcoin test has no verdict (engineered system, RG does not apply)",
"Sine-Gordon is prediction only with falsification criteria",
"Boundary data is curated from 50 refs, selection bias possible",
"Burgers data is non-monotonic, extrapolation unreliable",
"Spectral exponent favors standard (1.9 closer to 2.0 than 1.262)"
]
}