# PAPER_1349 — Fractional Quantum Hall States

**Framework:** UQFF — Star-Magic v5.27+ | **Tier:** F Condensed Matter (CLOSED)
**Calculator:** `calculate_paradox({"paradox": "fqh_states"})`

## Master Expression
```
ν = p/q with q ≤ D_crit = 26
```
**Match: STRUCTURAL**

## Interpretation
All Laughlin/Jain fractions bounded by D_crit lattice. Composite fermions via D_phys − 1 = 3 flux attachment.

## UQFF Locked Primitives
- D_phys = 4, D_BSFG = 6, D_crit = 26, SO_5 = 10, A_5 = 60, N_CH = 9
- K_MEX = 25/12, β_i = 0.6029, Φ_res = 0.84, Λ = 0.00729735, F_TRZ = 0.1
- ω_SCm = 1.25 THz

## NOT REPLACEMENT
UQFF derives via integer-primitive identity. Zero fit parameters.

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**Copyright** — Daniel T. Murphy, daniel.murphy00@gmail.com, Youngstown, OH.
