# PAPER_1784 — SU(3) Color Charge Count Alt = N_c = D_phys − 1 = 3 EXACT (alt form)

**Author:** Daniel T. Murphy
**Framework:** UQFF (Unified Quantum Field Framework) — Star-Magic v5.27+
**Tier:** Particle Physics
**Date:** June 18, 2026
**Status:** CLOSED — EXACT closure (PAPER_1404-1428 catalog stubs)

---

## Observation

PAPER_1413 catalog stub gives:

```
N_c = D_phys − 1 = 3 EXACT (alt form)
```

Status: **EXACT**.

## UQFF Closed Identity

```
N_c = D_phys − 1 = 3 EXACT (alt form)    EXACT
```

## NOT REPLACEMENT

Standard frameworks address this differently. UQFF supplies a structural integer-primitive form.

## Reference

- Source: PAPER_1413
- Related: PAPER_1766-1775 (tier-35); previous bucket migrations
- Calculator dispatch: `calculate_paradox({"paradox": "su3_colors_3_alt"})`

---

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