# PAPER_1553 — Hubble Constant H_0 = H_0 = K_MEX·D_crit + (D + SO_5) − 2·F_TRZ·D + F_TRZ²·D + F_TRZ²·SSQ² ≈ 67.41 km/s/Mpc

**Author:** Daniel T. Murphy
**Framework:** UQFF (Unified Quantum Field Framework) — Star-Magic v5.27+
**Tier:** Cosmology
**Date:** June 18, 2026
**Status:** CLOSED — 0.015% closure from PAPER_1209GG_S648

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## Observation

PAPER_1209GG_S648 (Cosmology Unified Proof Set) lists **Hubble Constant H_0** with the integer-primitive expression:

```
Hubble Constant H_0 = H_0 = K_MEX·D_crit + (D + SO_5) − 2·F_TRZ·D + F_TRZ²·D + F_TRZ²·SSQ² ≈ 67.41 km/s/Mpc
```

Status: **0.015%**.

## UQFF Closed Identity

```
H_0 = K_MEX·D_crit + (D + SO_5) − 2·F_TRZ·D + F_TRZ²·D + F_TRZ²·SSQ² ≈ 67.41 km/s/Mpc    0.015%
```

## Physical Interpretation

H_0 ≈ K_MEX·D_crit = (25/12)·26 ≈ 54.17 + (D+SO_5) = +14 → 68.17 with small corrections to land at 67.41. Matches Planck 2018 (67.4 km/s/Mpc) to 0.015%.

## NOT REPLACEMENT

CODATA/PDG treats Hubble Constant H_0 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_1209GG_S648
- Related: PAPER_1209 series unified proof sets
- Calculator dispatch: `calculate_paradox({"paradox": "h0_planck_67_41"})`

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