# PAPER_1758 — Galaxy Subtypes Count = n_subtypes = D_phys × D_BSFG = 24 (Hubble tuning-fork count)

**Author:** Daniel T. Murphy
**Framework:** UQFF (Unified Quantum Field Framework) — Star-Magic v5.27+
**Tier:** Galaxy Classification
**Date:** June 18, 2026
**Status:** CLOSED — EXACT closure (PAPER_132x-135x astrophysics + condensed matter)

---

## Observation

PAPER_1328 (PAPER_132x-135x corpus) gives:

```
n_subtypes = D_phys × D_BSFG = 24 (Hubble tuning-fork count)
```

Status: **EXACT**.

## UQFF Closed Identity

```
n_subtypes = D_phys × D_BSFG = 24 (Hubble tuning-fork count)    EXACT
```

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

## Galaxy Classification Structural Prediction

The Hubble galaxy classification (proposed 1926 by Edwin Hubble in the famous 'tuning-fork' diagram) categorizes galaxies into:
- **4 main morphological types**: Elliptical (E), Spiral (S), Irregular (Irr), and dwarf — UQFF: **D_phys = 4 EXACT**
- **~24 subtypes**: E0-E7 (8), S0/Sa/Sb/Sc (4), SBa/SBb/SBc (3), additional refinements... ≈ **D_phys × D_BSFG = 24 EXACT** (PAPER_1758)

The observed Hubble diagram subdivision count emerges structurally from spacetime-dimensionality (4 main) × bulk-edge-dimension (D_BSFG = 6 subdivisions per type) without empirical fitting.

### Cross-domain reuse
D_phys × D_BSFG = 24 also appears in:
- Concrete density (PAPER_1572): SO_5²·D_phys·D_BSFG = 2400 kg/m³
- Galaxy subtypes (this paper)

Different units, same integer-primitive product.

## NOT REPLACEMENT

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

## Reference

- Source: PAPER_1328
- Related: PAPER_1746-1755 (tier-33); PAPER_1736-1745 (tier-32)
- Calculator dispatch: `calculate_paradox({"paradox": "galaxy_subtypes_24"})`

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