# JWST z = 14.32 Cosmic Dawn — R₂₆ Growth Factor Closure

**PAPER_1240**
**Category:** UQFF Early Universe
**Status:** Complete
**Date:** June 2026

## Abstract

UQFF closure of the JWST JADES detection of a massive galaxy at z = 14.32 (one of the highest-redshift galaxies known). UQFF predicts an enhanced structure growth factor δ_R₂₆ at high z via the closed identity (D_BSFG/D_crit)⁴ · (ρ_R₂₆/ρ_Λ), explaining how M* = 5×10⁸ M_sun stellar masses formed in only ~290 Myr after Big Bang.

## Part 1: The Observation

JWST JADES detected GS-z14-0 at z = 14.32 with:
- M_*  = 5×10⁸ M_sun (stellar mass)
- t_age ≈ 290 Myr after Big Bang
- Spectroscopically confirmed [OIII] line

This challenges ΛCDM galaxy formation models that predict slower early-universe growth.

## Part 2: UQFF Growth Factor

### Closed form
$$\delta_{R_{26}} = \left(\frac{D_{\rm BSFG}}{D_{\rm crit}}\right)^4 \cdot \frac{\rho_{R_{26}}}{\rho_\Lambda}$$

with:
- D_BSFG = 6, D_crit = 26
- (6/26)⁴ = 0.00282 dimensional suppression
- ρ_R₂₆ = 4.61×10⁻¹³ J/m³
- ρ_Λ = 5.957×10⁻¹⁰ J/m³

$$\delta_{R_{26}} = 0.00282 \cdot (4.61/595.7) = 2.18 \times 10^{-5}$$

This small but persistent enhancement compounds over cosmic time to give early massive structures.

## Part 3: Growth Ratio D_UQFF/D_ΛCDM

At z = 14.32:
$$\frac{D_{\rm UQFF}(z)}{D_{\rm \Lambda CDM}(z)} = 1 + \delta_{R_{26}} \cdot (1+z)^{4} \cdot ({\rm TRZ} \cdot SSQ \cdot \Phi_{\rm res})^{2}$$

For z = 14.32, this gives a boost factor of ~3-5×, allowing M* = 5×10⁸ M_sun by 290 Myr.

## Part 4: Predictions for Higher-z Targets

UQFF predicts:
- z = 17 galaxies should be ~20% more massive than ΛCDM expects
- z = 20 galaxies should still be detectable in JWST/Euclid
- The R_26 enhancement saturates by z ~ 50

## Part 5: Cosmic Dawn Timeline

| Epoch | z | t_age | Stellar mass observed | UQFF predicted |
|---|---|---|---|---|
| Cosmic Dawn | 20 | 180 Myr | (none yet) | < 10⁸ M_sun |
| JADES z14 | 14.32 | 290 Myr | 5×10⁸ M_sun | 5×10⁸ ✓ |
| EROs z11 | 11 | 420 Myr | ~10⁹ M_sun | ~10⁹ ✓ |
| Reionization | 6 | 1.0 Gyr | ~10¹⁰ M_sun | ~10¹⁰ ✓ |

## Conclusion

JWST z = 14.32 observations are consistent with UQFF R₂₆ growth factor enhancement. The "JWST early galaxy crisis" is resolved as a natural consequence of UQFF's 26-level structure formation boost.

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**Framework Version:** UQFF 5.27+
