# PAPER_1621 — Adiabatic Lapse Rate = Γ = D_BSFG + SSQ − F·Φ_5/6 ≈ 6.4867 K/km

**Author:** Daniel T. Murphy
**Framework:** UQFF (Unified Quantum Field Framework) — Star-Magic v5.27+
**Tier:** Climate
**Date:** June 18, 2026
**Status:** CLOSED — 0.21% closure

---

## Observation

PAPER_1209X_S554 (Climate Unified Proof Set) gives the formula:

```
Γ = D_BSFG + SSQ − F·Φ_5/6 ≈ 6.4867 K/km
```

Residual: **0.21%**.

## UQFF Closed Identity

```
Γ = D_BSFG + SSQ − F·Φ_5/6 ≈ 6.4867 K/km    0.21%
```

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

## NOT REPLACEMENT

Empirical climate measures this constant directly. UQFF supplies a structural derivation from the integer primitives.

## Reference

- Source: PAPER_1209X_S554
- Related: PAPER_1494-1615 (other session-2026-06-18 closures)
- Calculator dispatch: `calculate_paradox({"paradox": "lapse_rate_6_5_k_km"})`

---

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