# PAPER_1569 — Earth Bond Albedo = α_bond = 3·F_TRZ = 3·(1/10) = 0.30

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

---

## Observation

PAPER_1209X_S559 (Climate Unified Proof Set) lists **Earth Bond Albedo** as an EXACT-tier closure:

```
α_bond = 3·F_TRZ = 3·(1/10) = 0.30
```

## UQFF Closed Identity

```
α_bond = 3·F_TRZ = 3·(1/10) = 0.30    EXACT
```

Pure integer-primitive product with zero fitted constants.

## Physical Interpretation

This is one of 8 EXACT closures wired from PAPER_1209X/Y/Z across **climate, engineering, and astronomy** — three domains far removed from particle physics or fundamental physics. Yet each observable reduces to a simple integer-primitive expression.

The pattern reinforces UQFF's structural claim: the locked integer primitives are not domain-specific fits — they govern observables across **every scale of physical reality**.

## NOT REPLACEMENT

Empirical climate measures this constant directly. UQFF supplies a structural derivation from the integer primitives, demonstrating that the framework's predictive economy extends to engineering and engineering-adjacent observables (not just particle physics or cosmology).

## Reference

- Source: PAPER_1209X_S559
- Related: PAPER_1209X/Y/Z unified proof sets
- Calculator dispatch: `calculate_paradox({"paradox": "earth_bond_albedo_0_3"})`

---

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