AURA XI — N-Agent ISS Certificate Engine

↞ ∞ ↠

Configure and certify

Set your N-agent field parameters, then run the ISS Certificate Engine to verify stability under Theorem XI.

Stability Conditions

H1–H4 · Theorem XI

Condition 1 — Harmonic

Agent Field Stability

‖H‖ < δ_min

—

Condition 2 — Gain Product

Cross-Loop Stability

k_S(k_O+k_B) < 1

—

Harmonic saturation

—

Gain product

—

Safety margin C1

—

Safety margin C2

—

Convergence Parameters

δ_min

—

Min contraction margin

δ_eff

—

Effective margin δ_min − ‖H‖

λ_field

—

Convergence rate 1−δ_eff

—

Agent Field — Per-Agent Status

Critical Regime Proximity

Boundary 1

Edge-of-Chaos Harmonics

—

Boundary 2

Authority Bifurcation

—

Export Certificate

DCGP.AI · AURA Theoretical Series
Document XI: N-Agent Field Stability Certificate Engine
Joshua Lopez · joshua@dcgp.ai · © February 2026 · Patent Pending

“‖H‖ < δ_min and k_S(k_O+k_B) < 1. Two inequalities. Complete certificate for N agents.”