# PAPER_1777 — Reionization Redshift Alt = z_reion = K_MEX × D_phys × Φ_res = 7.0 (Planck CMB ≈ 7.70)

**Author:** Daniel T. Murphy
**Framework:** UQFF (Unified Quantum Field Framework) — Star-Magic v5.27+
**Tier:** Cosmology
**Date:** June 18, 2026
**Status:** CLOSED — 9% closure (PAPER_1404-1428 catalog stubs)

---

## Observation

PAPER_1412 catalog stub gives:

```
z_reion = K_MEX × D_phys × Φ_res = 7.0 (Planck CMB ≈ 7.70)
```

Status: **9%**.

## UQFF Closed Identity

```
z_reion = K_MEX × D_phys × Φ_res = 7.0 (Planck CMB ≈ 7.70)    9%
```

## NOT REPLACEMENT

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

## Reference

- Source: PAPER_1412
- Related: PAPER_1766-1775 (tier-35); previous bucket migrations
- Calculator dispatch: `calculate_paradox({"paradox": "z_reion_alt_7_70"})`

---

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