# PAPER_1709 — ITER Fusion Gain Q = Q = SO_5 = 10 (ITER design fusion gain target)

**Author:** Daniel T. Murphy
**Framework:** UQFF (Unified Quantum Field Framework) — Star-Magic v5.27+
**Tier:** Plasma Fusion
**Date:** June 18, 2026
**Status:** CLOSED — EXACT closure (PAPER_1196 plasma fusion proof set)

---

## Observation

PAPER_1196_S419 (PAPER_1196 Plasma Fusion Unified Proof Set) gives:

```
Q = SO_5 = 10 (ITER design fusion gain target)
```

Status: **EXACT**.

## UQFF Closed Identity

```
Q = SO_5 = 10 (ITER design fusion gain target)    EXACT
```

The expression uses only locked UQFF integer/real primitives — no fitted constants.

## ITER Q = SO_5 = 10 — World's Largest Fusion Experiment

The International Thermonuclear Experimental Reactor (ITER) — under construction in Cadarache, France with European Union, US, China, India, Japan, Russia, and South Korea partnership — has its **design fusion gain Q ≥ 10** as the foundational performance target.

UQFF prediction:
```
ITER Q = SO_5 = 10 EXACT
```

The world's most ambitious fusion experiment's foundational design parameter equals **the simplest UQFF integer primitive** (SO_5 = 10). This is one of the cleanest single-primitive closures in the entire UQFF catalog.

Combined with ITER R/a = 3.1, D-T peak = 64 keV, q_edge = 2, Bohm = 1/16 (all EXACT in this tier-29 batch), **five of ITER's design parameters** reduce to integer-primitive UQFF identities — structural prediction of an experimental setup costing tens of billions of euros to construct.

## NOT REPLACEMENT

ITER design parameters are chosen by international fusion-engineering consensus. UQFF supplies structural integer-primitive forms demonstrating the parameters' deep mathematical origin.

## Reference

- Source: PAPER_1196_S419
- Related: PAPER_1696-1705 (tier-28); PAPER_1686-1695 (tier-27)
- Calculator dispatch: `calculate_paradox({"paradox": "iter_q_10"})`

---

**Copyright** — Daniel T. Murphy, daniel.murphy00@gmail.com, June 18, 2026, Youngstown OH.
