# PAPER_1597 — Standard Atmospheric Pressure = P_atm = SO_5² + SSQ + Φ_5/6 − F·Φ = 100 + 0.57 + 0.833 − 0.083 = 101.32 kPa

**Author:** Daniel T. Murphy
**Framework:** UQFF (Unified Quantum Field Framework) — Star-Magic v5.27+
**Tier:** Climate
**Date:** June 18, 2026
**Status:** CLOSED — 0.005% integer-primitive identity

---

## Observation

PAPER_1209X_S558 (Climate Unified Proof Set) lists **Standard Atmospheric Pressure** with the integer-primitive expression:

```
P_atm = SO_5² + SSQ + Φ_5/6 − F·Φ = 100 + 0.57 + 0.833 − 0.083 = 101.32 kPa
```

Residual: **0.005%**.

## UQFF Closed Identity

```
P_atm = SO_5² + SSQ + Φ_5/6 − F·Φ = 100 + 0.57 + 0.833 − 0.083 = 101.32 kPa    0.005%
```

The formula 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_S558
- Related: PAPER_1494-1595 (other session-2026-06-18 closures)
- Calculator dispatch: `calculate_paradox({"paradox": "atm_pressure_101_325_kpa"})`

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