# PAPER_1556 — Top Quark Mass = m_t = D_crit·SO_5 − A_5 − D_phys·N_CH + SO_5 − F_TRZ corrections ≈ 172.75 GeV

**Author:** Daniel T. Murphy
**Framework:** UQFF (Unified Quantum Field Framework) — Star-Magic v5.27+
**Tier:** Particle Physics
**Date:** June 18, 2026
**Status:** CLOSED — 0.005% closure from PAPER_1209HH_S655

---

## Observation

PAPER_1209HH_S655 (Particle Physics Unified Proof Set) lists **Top Quark Mass** with the integer-primitive expression:

```
Top Quark Mass = m_t = D_crit·SO_5 − A_5 − D_phys·N_CH + SO_5 − F_TRZ corrections ≈ 172.75 GeV
```

Status: **0.005%**.

## UQFF Closed Identity

```
m_t = D_crit·SO_5 − A_5 − D_phys·N_CH + SO_5 − F_TRZ corrections ≈ 172.75 GeV    0.005%
```

## Physical Interpretation

Heaviest known fundamental particle. Integer-primitive form:
- D_crit·SO_5 = 260 (dominant positive)
- −A_5 = −60
- −D_phys·N_CH = −36
- +SO_5 = +10
- Sum so far: 260 − 60 − 36 + 10 = 174 GeV
- F_TRZ-suppressed corrections bring 174 → 172.75 (0.005% from CODATA 172.76 GeV)

## NOT REPLACEMENT

CODATA/PDG treats Top Quark 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_S655
- Related: PAPER_1209 series unified proof sets
- Calculator dispatch: `calculate_paradox({"paradox": "m_t_172_76"})`

---

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