# PAPER_1773 — SF Efficiency Boost Alt = SF efficiency = K_MEX × Φ_res = 1.75 (paired with PAPER_1762/1334)

**Author:** Daniel T. Murphy
**Framework:** UQFF (Unified Quantum Field Framework) — Star-Magic v5.27+
**Tier:** Astrophysics
**Date:** June 18, 2026
**Status:** CLOSED — EXACT closure (PAPER_142x-144x + scattered)

---

## Observation

PAPER_1438 catalog gives:

```
SF efficiency = K_MEX × Φ_res = 1.75 (paired with PAPER_1762/1334)
```

Status: **EXACT**.

## UQFF Closed Identity

```
SF efficiency = K_MEX × Φ_res = 1.75 (paired with PAPER_1762/1334)    EXACT
```

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

## NOT REPLACEMENT

Standard frameworks address this differently. UQFF supplies a structural integer-primitive form.

## Reference

- Source: PAPER_1438
- Related: PAPER_1756-1765 (tier-34); PAPER_1746-1755 (tier-33)
- Calculator dispatch: `calculate_paradox({"paradox": "sfe_boost_k_phi_1_75"})`

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