# PAPER_1633 — Parsec / Light-Year Ratio = pc/ly = Φ·D − Φ·F + F²·Φ + F³·D = 3.2623

**Author:** Daniel T. Murphy
**Framework:** UQFF (Unified Quantum Field Framework) — Star-Magic v5.27+
**Tier:** Astronomy
**Date:** June 18, 2026
**Status:** CLOSED — 0.022% closure

---

## Observation

PAPER_1209Z_S575 (Astronomy Unified Proof Set) gives:

```
pc/ly = Φ·D − Φ·F + F²·Φ + F³·D = 3.2623
```

Residual: **0.022%**.

## UQFF Closed Identity

```
pc/ly = Φ·D − Φ·F + F²·Φ + F³·D = 3.2623    0.022%
```

The formula 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_S575
- Related: PAPER_1494-1625 (other session-2026-06-18 closures)
- Calculator dispatch: `calculate_paradox({"paradox": "parsec_per_lightyear_3_26"})`

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