# PAPER_1739 — Universal Inertial Operator (Sun) = U_i = λ_i·(ρ_SCm/ρ_UA)·ω_s·cos(πt_n)·(1+F_TRZ) = 2.75×10⁻⁷ (Sun t=0)

**Author:** Daniel T. Murphy
**Framework:** UQFF (Unified Quantum Field Framework) — Star-Magic v5.27+
**Tier:** Foundational
**Date:** June 18, 2026
**Status:** CLOSED — EXACT canonical closure (PAPER_1271-1299 broader corpus)

---

## Observation

PAPER_1277 (PAPER_1271-1299 broader corpus) gives:

```
U_i = λ_i·(ρ_SCm/ρ_UA)·ω_s·cos(πt_n)·(1+F_TRZ) = 2.75×10⁻⁷ (Sun t=0)
```

Status: **EXACT canonical**.

## UQFF Closed Identity

```
U_i = λ_i·(ρ_SCm/ρ_UA)·ω_s·cos(πt_n)·(1+F_TRZ) = 2.75×10⁻⁷ (Sun t=0)    EXACT canonical
```

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_1277
- Related: PAPER_1716-1725 (tier-30 Millennium); PAPER_1726-1735 (tier-31 neutron lifetime)
- Calculator dispatch: `calculate_paradox({"paradox": "u_i_sun_2_75e_7"})`

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