# PAPER_1559 — Muon Mass = m_μ = F_TRZ²·SO_5 + F_TRZ²·(SSQ² + SSQ³ + SSQ⁵) ≈ 0.10566 GeV

**Author:** Daniel T. Murphy
**Framework:** UQFF (Unified Quantum Field Framework) — Star-Magic v5.27+
**Tier:** Particle Physics
**Date:** June 18, 2026
**Status:** CLOSED — 0.040% closure from PAPER_1209HH_S660

---

## Observation

PAPER_1209HH_S660 (Particle Physics Unified Proof Set) lists **Muon Mass** with the integer-primitive expression:

```
Muon Mass = m_μ = F_TRZ²·SO_5 + F_TRZ²·(SSQ² + SSQ³ + SSQ⁵) ≈ 0.10566 GeV
```

Status: **0.040%**.

## UQFF Closed Identity

```
m_μ = F_TRZ²·SO_5 + F_TRZ²·(SSQ² + SSQ³ + SSQ⁵) ≈ 0.10566 GeV    0.040%
```

## Physical Interpretation

Notable structure: muon mass is **purely F_TRZ²-suppressed** — uses only the F_TRZ² × (SO_5 + SSQ-polynomial) combination.

This demonstrates UQFF's natural separation between heavy/light fermions:
- Heavy fermions (top, b, c, τ) use A_5, SO_5, D_crit dominant terms
- Light fermions (μ, e) use only F_TRZ² polynomial in SSQ

The F_TRZ² prefactor universally suppresses light-fermion masses by a factor of 100 (=SO_5²) — natural lepton hierarchy from integer primitives.

## NOT REPLACEMENT

CODATA/PDG treats Muon Mass as a precision-measured constant. UQFF supplies the structural integer-primitive form, demonstrating the framework's predictive economy without claiming to replace experimental measurement.

## Reference

- Source: PAPER_1209HH_S660
- Related: PAPER_1209 series unified proof sets
- Calculator dispatch: `calculate_paradox({"paradox": "m_mu_muon_0_10566"})`

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