| 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.
