# PAPER_1342 — Quantum Thermodynamics Extension

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

## Master Expression
```
Crooks, Jarzynski, Landauer preserved via F_U = 1
```
**Match: STRUCTURAL**

## Interpretation
All quantum thermo theorems preserved in closed ledger.

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

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