# PAPER_1345 — Eigenstate Thermalization Hypothesis

**Framework:** UQFF — Star-Magic v5.27+ | **Tier:** E Quantum Extremes (CLOSED)
**Calculator:** `calculate_paradox({"paradox": "eth"})`

## Master Expression
```
Ergodicity via F_U = 1 + F_TRZ random phase
```
**Match: STRUCTURAL**

## Interpretation
Long-time eigenstate thermalization emerges naturally.

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

**Copyright** — Daniel T. Murphy, daniel.murphy00@gmail.com, June 11, 2026, Youngstown, OH.
