# PAPER_1607 — Charm Quark Mass = m_c = F·D_crit − F·D − F·SO + F²·SO − F²·D + F²·SSQ + F²·SSQ² + F²·SSQ³ ≈ 1.271 GeV

**Author:** Daniel T. Murphy
**Framework:** UQFF (Unified Quantum Field Framework) — Star-Magic v5.27+
**Tier:** Particle Physics
**Date:** June 18, 2026
**Status:** CLOSED — 0.063% residual

---

## Observation

PAPER_1209HH_S658 (Particle Physics Unified Proof Set) gives the closed-form expression:

```
m_c = F·D_crit − F·D − F·SO + F²·SO − F²·D + F²·SSQ + F²·SSQ² + F²·SSQ³ ≈ 1.271 GeV
```

Residual to CODATA: **0.063%**.

## UQFF Closed Identity

```
m_c = F·D_crit − F·D − F·SO + F²·SO − F²·D + F²·SSQ + F²·SSQ² + F²·SSQ³ ≈ 1.271 GeV    0.063%
```

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

## NOT REPLACEMENT

Experimental particle physics measures this constant directly. UQFF supplies a structural derivation from the integer primitives.

## Reference

- Source: PAPER_1209HH_S658
- Related: PAPER_1494-1605 (other session-2026-06-18 closures)
- Calculator dispatch: `calculate_paradox({"paradox": "m_c_charm_1_27"})`

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