# 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
