name: scbe-governance-gate
description: Evaluate the Grand Unified Governance function G(xi, i, poly) that makes ALLOW/DENY/QUARANTINE decisions based on the full 9D state, intent, and polyhedral topology. Use when implementing or modifying the governance decision pipeline, adding new constraint checks, or debugging access decisions.
SCBE Governance Gate
Use this skill to implement and reason about the Grand Unified Governance function that is the core decision engine of SCBE-AETHERMOORE.
Function Signature
G(xi, intent, poly_topology) → (decision, reason)
- xi: 9D state vector [c(t), τ(t), η(t), q(t)]
- intent: float — recovered intent value from audio layer
- poly_topology: dict with V, E, F — vertex/edge/face counts
- Returns: ("ALLOW"|"DENY"|"QUARANTINE", reason_string)
Decision Hierarchy (Ordered by Priority)
1. Topological Check (QUARANTINE)
χ = V - E + F
if χ ≠ 2 → QUARANTINE "Topological Fracture"
- Euler characteristic must equal 2 (closed orientable surface).
- Example valid topology: Cube (V=8, E=12, F=6 → χ=2).
2. Entropy Bounds (QUARANTINE)
if η < ETA_MIN(2.0) or η > ETA_MAX(6.0) → QUARANTINE "Entropy Anomaly"
- Entropy must stay within [2.0, 6.0] range.
- Uses real part of η (guards against complex dtype propagation).
3. Time Causality (QUARANTINE)
if τ̇ ≤ 0 → QUARANTINE "Causality Violation"
- Time must flow forward. Reversal is a hard block.
4. Quantum State (QUARANTINE)
if fidelity < 0.9 or von_neumann_entropy > 0.2 → QUARANTINE "Quantum Decoherence"
- Quantum coherence must be maintained.
5. Harmonic & Geometric Coherence (ALLOW/DENY)
if coherence ≥ TAU_COH(0.9) AND d_triadic ≤ EPSILON(1.5) AND H(d) ≤ H_MAX(10.0):
→ ALLOW "Harmonic Resonance Confirmed"
else:
→ DENY "Incoherent State"
Derived Metrics
| Metric |
Source |
Threshold |
| Coherence (coh) |
Intent phase alignment |
≥ 0.9 (TAU_COH) |
| Triadic Divergence |
Metric tensor |
≤ 1.5 (EPSILON) |
| Harmonic Cost H(d) |
Harmonic series |
≤ 10.0 (H_MAX) |
| Curvature (κ) |
Manifold geometry |
≤ 0.1 (KAPPA_MAX) |
| Lyapunov (λ) |
Stability analysis |
≤ 0.001 |
Six Sacred Tongues (Domain Separation)
TONGUES = ["KO", "AV", "RU", "CA", "UM", "DR"]
TONGUE_WEIGHTS = [PHI^k for k in 0..5]
Modality Masks
| Mode |
Harmonics Used |
| STRICT |
[1, 3, 5] |
| ADAPTIVE |
[1, 2, 3, 4, 5] |
| PROBE |
[1] |
Workflow
- Unpack 9D state vector into c(t), τ, η, q components.
- Cast η to real (guard against complex dtype).
- Run checks in priority order: topology → entropy → causality → quantum → harmonic.
- Return first failing QUARANTINE or the final ALLOW/DENY.
Guardrails
- Check order is strict — QUARANTINE checks must precede ALLOW/DENY.
- Euler characteristic χ=2 is non-negotiable for closed surfaces.
- Never skip the causality check (τ̇ > 0).
- The coherence threshold TAU_COH=0.9 is a locked constant.
- All QUARANTINE events should trigger alerts in production.