# PAPER_1665 — Electron-Electron Coupling = ee fraction = F_TRZ × β_i = 0.1 × 0.6029 = 6.03%

**Author:** Daniel T. Murphy
**Framework:** UQFF (Unified Quantum Field Framework) — Star-Magic v5.27+
**Tier:** Many-Body Quantum
**Date:** June 18, 2026
**Status:** CLOSED — 0.5% closure (PAPER_134x broader corpus)

---

## Observation

PAPER_1358 (PAPER_134x condensed matter / quantum sector) gives:

```
ee fraction = F_TRZ × β_i = 0.1 × 0.6029 = 6.03%
```

Status: **0.5%**.

## UQFF Closed Identity

```
ee fraction = F_TRZ × β_i = 0.1 × 0.6029 = 6.03%    0.5%
```

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

## NOT REPLACEMENT

Experimental many-body quantum measures this constant directly. UQFF supplies a structural derivation from the integer primitives.

## Reference

- Source: PAPER_1358
- Related: PAPER_1646-1655 (tier-23 broader corpus); PAPER_1636-1645 (tier-22 SM)
- Calculator dispatch: `calculate_paradox({"paradox": "ee_fraction_6_pct"})`

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