# PAPER_1680 — Origin of Inertia Scale = U_inertia = SO_5 = 10

**Author:** Daniel T. Murphy
**Framework:** UQFF (Unified Quantum Field Framework) — Star-Magic v5.27+
**Tier:** Foundational
**Date:** June 18, 2026
**Status:** CLOSED — EXACT closure (PAPER_145x-147x broader corpus)

---

## Observation

PAPER_1466 (PAPER_14xx broader corpus, classic cosmology/BSM puzzle) gives:

```
U_inertia = SO_5 = 10
```

Status: **EXACT**.

## UQFF Closed Identity

```
U_inertia = SO_5 = 10    EXACT
```

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

## NOT REPLACEMENT

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

## Reference

- Source: PAPER_1466
- Related: PAPER_1666-1675 (tier-25); PAPER_1656-1665 (tier-24)
- Calculator dispatch: `calculate_paradox({"paradox": "inertia_origin_10"})`

---

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