# PAPER_1596 — Solar Constant (TSI) = S = A_5²·F·D − N_CH·SO_5 + SO_5 + SSQ + F·D = 1440 − 90 + 10 + 0.57 + 0.4 = 1360.97 W/m²

**Author:** Daniel T. Murphy
**Framework:** UQFF (Unified Quantum Field Framework) — Star-Magic v5.27+
**Tier:** Climate
**Date:** June 18, 2026
**Status:** CLOSED — 0.002% integer-primitive identity

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## Observation

PAPER_1209X_S556 (Climate Unified Proof Set) lists **Solar Constant (TSI)** with the integer-primitive expression:

```
S = A_5²·F·D − N_CH·SO_5 + SO_5 + SSQ + F·D = 1440 − 90 + 10 + 0.57 + 0.4 = 1360.97 W/m²
```

Residual: **0.002%**.

## UQFF Closed Identity

```
S = A_5²·F·D − N_CH·SO_5 + SO_5 + SSQ + F·D = 1440 − 90 + 10 + 0.57 + 0.4 = 1360.97 W/m²    0.002%
```

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_S556
- Related: PAPER_1494-1595 (other session-2026-06-18 closures)
- Calculator dispatch: `calculate_paradox({"paradox": "solar_constant_1361"})`

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