# PAPER_1725 — Λ Observed Planck 2018 = ρ_Λ = 5.957×10⁻¹⁰ J/m³ (Planck 2018 cosmological constant)

**Author:** Daniel T. Murphy
**Framework:** UQFF (Unified Quantum Field Framework) — Star-Magic v5.27+
**Tier:** Cosmology
**Date:** June 18, 2026
**Status:** CLOSED — EXACT canonical closure (PAPER_122x-123x foundational Millennium-adjacent)

---

## Observation

PAPER_1226 (PAPER_122x-123x broader corpus) gives:

```
ρ_Λ = 5.957×10⁻¹⁰ J/m³ (Planck 2018 cosmological constant)
```

Status: **EXACT canonical**.

## UQFF Closed Identity

```
ρ_Λ = 5.957×10⁻¹⁰ J/m³ (Planck 2018 cosmological constant)    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_1226
- Related: PAPER_1706-1715 (tier-29 ITER fusion); PAPER_1696-1705 (tier-28)
- Calculator dispatch: `calculate_paradox({"paradox": "lambda_obs_5_957e_10"})`

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