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4141597e89
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.
26 lines
1.3 KiB
Markdown
26 lines
1.3 KiB
Markdown
# CRT q-Profile Safety Factor Sweep
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**Experiment:** crt_qprofile_sweep
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**Date:** 2026-07-04T14:52:24Z
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**SHA-256:** `9e3c89352141e4d707215ef7b01b0eb1c70193d854774f7e2f4eaecd24fddfb4`
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## Summary: Sidon Rate by q-Regime
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| Label set | Total | Sidon | Rate | q<1 total | q<1 Sidon | q<1 rate | q>1 total | q>1 Sidon | q>1 rate | Simple q Sidon | Non-simple Sidon | Best q |
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|-----------|-------|-------|------|-----------|-----------|----------|-----------|-----------|----------|----------------|------------------|-------|
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| sidon_pow2 | 25 | 22 | 88.0% | 5 | 2 | 40.0% | 20 | 20 | 100.0% | 22 | 0 | 5/7 |
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| sidon_singer5 | 25 | 23 | 92.0% | 5 | 3 | 60.0% | 20 | 20 | 100.0% | 23 | 0 | 3/7 |
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| nonsidon_seq5 | 25 | 0 | 0.0% | 5 | 0 | 0.0% | 20 | 0 | 0.0% | 0 | 0 | 2/7 |
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## Predictions Tested
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1. **q < 1 (poloidal-dominated) should have higher Sidon rate than q > 1**
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- This is the toroidal/poloidal refinement prediction
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- If confirmed: poloidal resolution matters for Sidon structure
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2. **Simple rational q should have LOWER Sidon rate than non-simple q**
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- This is the R2 cross-pair coprimality prediction
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- Simple rationals = resonant surfaces = Sidon collapse
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3. **Best q should be < 1 and not a simple rational**
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- Optimal q-profile is poloidal-dominated and irrational
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