# PAPER_1692 — Dark Energy w = −1 Stability = w = −1 + F_U=1 → vacuum stable by construction

**Author:** Daniel T. Murphy
**Framework:** UQFF (Unified Quantum Field Framework) — Star-Magic v5.27+
**Tier:** Cosmology
**Date:** June 18, 2026
**Status:** CLOSED — EXACT closure (PAPER_127x-129x broader corpus)

---

## Observation

PAPER_1272 (PAPER_127x-129x broader corpus) gives:

```
w = −1 + F_U=1 → vacuum stable by construction
```

Status: **EXACT**.

## UQFF Closed Identity

```
w = −1 + F_U=1 → vacuum stable by construction    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_1272
- Related: PAPER_1676-1685 (tier-26 cosmology); PAPER_1666-1675 (tier-25)
- Calculator dispatch: `calculate_paradox({"paradox": "vacuum_stable_w_neg1"})`

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