# PAPER_1170 UPDATE — 4-Term Vacuum Ledger Session Extensions

**Original:** PAPER_1170 Vacuum Energy Ledger 4-Term Closed Form
**Update:** Session June 2026 — Session 270+ extensions
**Status:** Update

## Session Extensions

This addendum extends PAPER_1170 with the explicit 4-term decomposition wired during the June 2026 session:

### Explicit numerical values
- V(0) Mexican-hat = (25/12)·ρ_SCm = **1.477×10⁻³⁶ J/m³**
- ρ_R26 curvature = (13/2)·v_UA²·ρ_SCm = **4.609×10⁻¹³ J/m³**
- ρ_KK zeta-regularized = **5.951×10⁻¹⁰ J/m³** (PAPER_1171)
- ρ_BSFG residual = **1.34×10⁻¹³ J/m³**

### Total
ρ_Λ_uqff = 5.957×10⁻¹⁰ J/m³ vs Planck 5.95×10⁻¹⁰ — **0.117% residual.**

### Implementation
Wired in calculator at `_l96_uqff_pure_bekenstein_bound_v2_closure` and `_l96_uqff_pure_bousso_bound_v2_closure`.
