SilverSight/.openresearch/artifacts/crt_qprofile_sweep.json
openresearch 4141597e89 feat: experiment results — HN spectral database + q-profile sweep
Adds measured results from two CPU runs:

1. HN spectral database (run 019f2c52):
   Hoffman bound on 6 graphs. Tight for regular (path, cycle, complete),
   gap=1 for unit-distance (Moser spindle, Golomb graph). Pattern
   suggests spectral detection loses exactly 1 color for unit-distance graphs.

2. q-profile sweep (run 019f2d9c):
   Sweeps q = L₁/L₀ over coprime fractions. REFUTES the prediction
   that q < 1 (poloidal-dominated) is Sidon-favorable: q > 1 has
   100% Sidon rate vs 40-60% for q < 1. The toroidal/poloidal analogy
   doesn't directly control Sidon-ness via the q-ratio direction.

   For non-Sidon label sets: 0% Sidon at ALL q values (q-profile
   cannot CREATE Sidon from non-Sidon, only PRESERVE it).

All scripts, formal modules, and docs already committed to main.
This commit adds the experiment artifact JSONs and EVALs.
2026-07-04 14:57:46 +00:00

1609 lines
31 KiB
JSON

{
"experiment": "crt_qprofile_sweep",
"timestamp": "2026-07-04T14:52:24Z",
"config": {
"L0_base": 7,
"max_q_num": 30,
"max_q_den": 20,
"label_sets": [
{
"name": "sidon_pow2",
"labels": [
1,
2,
4,
8,
16
],
"S": 32
},
{
"name": "sidon_singer5",
"labels": [
0,
1,
4,
14,
16
],
"S": 30
},
{
"name": "nonsidon_seq5",
"labels": [
0,
1,
2,
3,
4
],
"S": 5
}
]
},
"data": [
{
"q": "2/7",
"q_float": 0.2857142857142857,
"q_num": 2,
"q_den": 7,
"q_simple_rational": true,
"moduli": [
7,
2
],
"M": 14,
"L0": 7,
"L1": 2,
"sidon_score": 0.6,
"collisions": 6,
"is_sidon": false,
"total_pairs": 15,
"distinct_residues": 9,
"label_set": "sidon_pow2"
},
{
"q": "3/7",
"q_float": 0.42857142857142855,
"q_num": 3,
"q_den": 7,
"q_simple_rational": true,
"moduli": [
7,
3
],
"M": 21,
"L0": 7,
"L1": 3,
"sidon_score": 0.933333,
"collisions": 1,
"is_sidon": false,
"total_pairs": 15,
"distinct_residues": 14,
"label_set": "sidon_pow2"
},
{
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"q_num": 4,
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"moduli": [
7,
4
],
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"L1": 4,
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"collisions": 1,
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"label_set": "sidon_pow2"
},
{
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7,
5
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"label_set": "sidon_pow2"
},
{
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7,
6
],
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{
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},
{
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},
{
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7,
10
],
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"L1": 10,
"sidon_score": 1.0,
"collisions": 0,
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},
{
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},
{
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{
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},
{
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},
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