# PAPER_1673 — Vacuum Breakdown Threshold = E_thresh = Λ² × E_Schwinger = (0.00729735)² × 1.32×10¹⁸

**Author:** Daniel T. Murphy
**Framework:** UQFF (Unified Quantum Field Framework) — Star-Magic v5.27+
**Tier:** QED
**Date:** June 18, 2026
**Status:** CLOSED — 0.4% closure (PAPER_136x broader corpus)

---

## Observation

PAPER_1373 (PAPER_136x broader corpus) gives:

```
E_thresh = Λ² × E_Schwinger = (0.00729735)² × 1.32×10¹⁸
```

Status: **0.4%**.

## UQFF Closed Identity

```
E_thresh = Λ² × E_Schwinger = (0.00729735)² × 1.32×10¹⁸    0.4%
```

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

## NOT REPLACEMENT

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

## Reference

- Source: PAPER_1373
- Related: PAPER_1656-1665 (tier-24); PAPER_1646-1655 (tier-23); PAPER_1636-1645 (tier-22)
- Calculator dispatch: `calculate_paradox({"paradox": "vacuum_breakdown_7e13_vm"})`

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