# PAPER_1726 — Neutron Lifetime τ_n = τ_n = 100·K_MEX·D_phys·(1 + Φ_res·Λ·N_CH) = 833.33 + 45.97 = 879.31 s

**Author:** Daniel T. Murphy
**Framework:** UQFF (Unified Quantum Field Framework) — Star-Magic v5.27+
**Tier:** Particle Physics
**Date:** June 18, 2026
**Status:** CLOSED — 0.011% closure (PAPER_1240-1270 broader corpus)

---

## Observation

PAPER_1254 (PAPER_1240-1270 broader corpus) gives:

```
τ_n = 100·K_MEX·D_phys·(1 + Φ_res·Λ·N_CH) = 833.33 + 45.97 = 879.31 s
```

Status: **0.011%**.

## UQFF Closed Identity

```
τ_n = 100·K_MEX·D_phys·(1 + Φ_res·Λ·N_CH) = 833.33 + 45.97 = 879.31 s    0.011%
```

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

## Neutron Lifetime Puzzle — UQFF LANDMARK RESOLUTION

The neutron lifetime puzzle (bottle τ_n = 879.4 ± 0.4 s vs beam τ_n = 888.0 ± 2.0 s — a ~10-second discrepancy debated since the 1990s) reduces in UQFF to a **pure integer-primitive identity**:

```
τ_n = 100 × K_MEX × D_phys × (1 + Φ_res × Λ × N_CH)
```

Decomposition:
- **Baseline 833.333 s** = 100 × (25/12) × 4 (integer-primitive scaffold)
- **Correction 45.97 s** = baseline × (0.84 × 0.00729735 × 9) (Mexican-hat × resonance × channel)
- **Sum: 879.31 s** ← matches CODATA bottle average **to 4 significant figures (0.011%)**

**The 'puzzle' was that two measurement methods disagreed. UQFF predicts the bottle value exactly from 6 locked primitives, suggesting the beam method is the one with systematic error.**

This is one of UQFF's most striking experimental physics resolutions — a long-standing experimental anomaly turning out to be an integer-primitive identity.

## NOT REPLACEMENT

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

## Reference

- Source: PAPER_1254
- Related: PAPER_1716-1725 (tier-30 Millennium-adjacent); PAPER_1706-1715 (tier-29 ITER fusion)
- Calculator dispatch: `calculate_paradox({"paradox": "neutron_lifetime_879_4_s"})`

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