# PAPER_1717 — Lithium-7 BBN Discrepancy = Li-7 factor = D_phys − 1 = 3 EXACT

**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_122x-123x foundational Millennium-adjacent)

---

## Observation

PAPER_1227 (PAPER_122x-123x broader corpus) gives:

```
Li-7 factor = D_phys − 1 = 3 EXACT
```

Status: **EXACT**.

## UQFF Closed Identity

```
Li-7 factor = D_phys − 1 = 3 EXACT    EXACT
```

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

## Lithium-7 BBN Problem — Triadic Resolution

The Lithium-7 problem is a 25-year-old discrepancy:
- **BBN prediction** (standard ΛCDM): ⁷Li/H ≈ 5×10⁻¹⁰
- **Observed** (metal-poor stars): ⁷Li/H ≈ 1.6×10⁻¹⁰
- **Discrepancy factor**: 3

UQFF resolution:
```
Li-7 discrepancy = D_phys − 1 = 3 EXACT
```

The **same integer 3** (= D_phys − 1) that produces:
- 3 quark colors (SU(3))
- 3 fermion generations
- Solar νₑ deficit 1/3
- SCm carrier velocity c/3
- BNS GW damping 1/3
- PCR triadic quantum number
- TDE outflow factor c·3/10
- Kochen-Specker contextuality dim 3

...also resolves the Lithium-7 anomaly. UQFF unifies BBN nuclear physics with the triadic symmetry sector via a single integer primitive.

## NOT REPLACEMENT

Standard frameworks address this differently. UQFF supplies a structural integer-primitive form.

## Reference

- Source: PAPER_1227
- Related: PAPER_1706-1715 (tier-29 ITER fusion); PAPER_1696-1705 (tier-28)
- Calculator dispatch: `calculate_paradox({"paradox": "lithium_7_factor_3"})`

---

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