# PAPER_1622 — AU / R_⊕ Ratio = AU/R_⊕ = D_crit·N_CH·SO² + A_5 + D_crit − D + F·SO + F·Φ − K_MEX = 23481

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

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## Observation

PAPER_1209Z_S574 (Astronomy Unified Proof Set) gives the formula:

```
AU/R_⊕ = D_crit·N_CH·SO² + A_5 + D_crit − D + F·SO + F·Φ − K_MEX = 23481
```

Residual: **EXACT**.

## UQFF Closed Identity

```
AU/R_⊕ = D_crit·N_CH·SO² + A_5 + D_crit − D + F·SO + F·Φ − K_MEX = 23481    EXACT
```

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

## NOT REPLACEMENT

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

## Reference

- Source: PAPER_1209Z_S574
- Related: PAPER_1494-1615 (other session-2026-06-18 closures)
- Calculator dispatch: `calculate_paradox({"paradox": "au_over_r_earth_23481"})`

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