# PAPER_1763 — Hubble Bubble Underdensity = δρ/ρ = −F_TRZ × β_i × 5 = −30.1% (resolves H_0 tension)

**Author:** Daniel T. Murphy
**Framework:** UQFF (Unified Quantum Field Framework) — Star-Magic v5.27+
**Tier:** Cosmology
**Date:** June 18, 2026
**Status:** CLOSED — 0.48% closure (PAPER_132x-135x astrophysics + condensed matter)

---

## Observation

PAPER_1457 (PAPER_132x-135x corpus) gives:

```
δρ/ρ = −F_TRZ × β_i × 5 = −30.1% (resolves H_0 tension)
```

Status: **0.48%**.

## UQFF Closed Identity

```
δρ/ρ = −F_TRZ × β_i × 5 = −30.1% (resolves H_0 tension)    0.48%
```

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

## NOT REPLACEMENT

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

## Reference

- Source: PAPER_1457
- Related: PAPER_1746-1755 (tier-33); PAPER_1736-1745 (tier-32)
- Calculator dispatch: `calculate_paradox({"paradox": "hubble_bubble_30_pct"})`

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