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SilverSight/.openresearch/artifacts/crt_qprofile_sweep_eval.md
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

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CRT q-Profile Safety Factor Sweep

Experiment: crt_qprofile_sweep Date: 2026-07-04T14:52:24Z SHA-256: 9e3c89352141e4d707215ef7b01b0eb1c70193d854774f7e2f4eaecd24fddfb4

Summary: Sidon Rate by q-Regime

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
sidon_pow2 25 22 88.0% 5 2 40.0% 20 20 100.0% 22 0 5/7
sidon_singer5 25 23 92.0% 5 3 60.0% 20 20 100.0% 23 0 3/7
nonsidon_seq5 25 0 0.0% 5 0 0.0% 20 0 0.0% 0 0 2/7

Predictions Tested

  1. q < 1 (poloidal-dominated) should have higher Sidon rate than q > 1

    • This is the toroidal/poloidal refinement prediction
    • If confirmed: poloidal resolution matters for Sidon structure

  2. Simple rational q should have LOWER Sidon rate than non-simple q

    • This is the R2 cross-pair coprimality prediction
    • Simple rationals = resonant surfaces = Sidon collapse

  3. Best q should be < 1 and not a simple rational

    • Optimal q-profile is poloidal-dominated and irrational