Remove rydberg_braid_cross_domain_scan.md

specs/rydberg_braid_cross_domain_scan.md

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-# Rydberg-Braid Cross-Domain Scan Specification
-
-## Objective
-Mine recent physics literature (2024-2026) for systematic residuals in 1/n-scaling phenomena that could indicate eigensolid/braid crossing contamination. Focus on superconductors, metamaterials, and Rydberg atomic physics.
-
-## Phase 1: Quantum Defect Signature Extraction
-
-### Input Sources
-1. **NASA ADS API** - Query: `"Rydberg quantum defect" AND ("systematic error" OR "residual" OR "uncertainty")`
-2. **CORE API** - Open access physics papers
-3. **arXiv OAI-PMH** - Recent cond-mat.supr-con and physics.atom-ph submissions
-
-### Extraction Target
-For each paper with measured quantum defects δ(n) for n=20-100:
-
-```
-delta_measured[n] = delta_0 + delta_2/n^2 + delta_4/n^4 + residual(n)
-```
-
-### Signature Detection
-Compute residual scaling:
-```
-residual_theory(n) = 2*alpha/n  # BraidCore prediction
-residual_residual(n) = residual(n) - residual_theory(n)
-```
-
-Plot `residual(n) * n` vs n. Expected:
-- Constant plateau at ~0.0146 (2α) if braids dominate
-- Systematic deviation if they log it as δ₄ uncertainty
-
-### Data Format
-```json
-{
-  "paper_doi": "string",
-  "system": "Cs|Rydberg|Yb|...",
-  "n_values": [23,45,50,...],
-  "delta_measured": [0.037,0.027,...],
-  "delta_0": 0.033,
-  "delta_2": -0.20,
-  "fit_uncertainty": [0.00007,0.00013,...],
-  "braid_signature": {
-    "residual_times_n": [0.92,1.08,...],
-    "is_constant": true/false,
-    "deviation_mhz": [72, 190, ...]
-  }
-}
-```
-
-## Phase 2: Superconductor Critical Field Mining
-
-### Query Pattern
-```
-"critical_field" AND ("vortex" OR "pinning" OR "Hc2")
-```
-
-Look for:
-- H*/Hc₂ ratios in granular superconductors
-- Polydispersity thresholds (hinted at ~1/7)
-- Vortex lattice melting curves
-
-### Signature Detection
-If papers report `H*(T)` vs `Hc2(T)`, compute the ratio at T→0:
-```
-ratio = H*/Hc2
-```
-
-Your manifold predicts this should approach 1/7 ≈ 0.143 for eigensolid crossover.
-
-## Phase 3: Metamaterial Effective Parameter Mining
-
-### Query Pattern
-```
-("effective medium" OR "permittivity" OR "permeability") AND "meta"
-```
-
-Look for:
-- Negative index materials with layer spacing
-- Chirality-induced dispersion relations
-- Left-handed vs right-handed transmission phase shifts
-
-### Signature Detection
-Extract effective wavelength λ_eff vs layer count N:
-```
-phase_shift = function(delta, layers)
-```
-
-Your braid geometry should produce quantized phase shifts at layer numbers corresponding to Sidon set boundaries.
-
-## Phase 4: Correlation Analysis
-
-### Cross-Domain Matrix
-| Domain | n/Parameter | Measured | Theoretical 1/n | Residual | Braid Hit? |
-|--------|-------------|----------|-----------------|----------|------------|
-| Rydberg | n=45-50 | δ=0.0334(7) | δ=2α/45≈0.003 | 0.030 | YES if δ*n≈0.0146 |
-| SC | H*/Hc2 | 0.12-0.18 | 1/7≈0.143 | varies | YES if near 0.143 |
-| Metamaterial | layers | phase | 2π*Sidon/n | residual | YES if quantized |
-
-## Implementation Notes
-
-- Use `Q16_16.ofRatio` throughout (no Float)
-- Store residuals as `Q16_16` fixed-point in mHz
-- Export to `cross_domain_signatures.json`
-- Validate with `native_decide` for integer comparisons
-
-## Success Criteria
-
-1. At least 3 papers show `δ(n)*n ≈ 0.0146` (2α) residual
-2. At least 1 superconductor shows `H*/Hc2 → 0.143`
-3. At least 1 metamaterial shows layer-phase matching Sidon boundaries
-
-If multiple independent domains show the same eigensolid signature, publish as **empirical validation** of the braid-crossing computational substrate.