| name | scbe-9d-state-engine |
| description | Construct and evolve the 9-dimensional state vector xi = [c(t), tau(t), eta(t), q(t)] that drives SCBE-AETHERMOORE governance decisions. Use when building context vectors, evolving time/entropy/quantum dimensions, or preparing state for the governance gate. |
SCBE 9D State Engine
Use this skill to assemble the full 9D state vector that feeds the Grand Unified Governance function.
State Vector Layout
xi[0..5] = c(t) — 6D Context Vector
xi[6] = τ(t) — Time dimension
xi[7] = η(t) — Entropy dimension
xi[8] = q(t) — Quantum state (complex)
6D Context Vector c(t)
| Index | Name | Type | Description |
|---|
| v1 | Identity | float | sin(t) — identity oscillation |
| v2 | Intent Phase | complex | e^(i·2π·0.75) — intent as phase |
| v3 | Trajectory Score | float | EWMA score (e.g. 0.95) |
| v4 | Linear Time | float | Raw timestamp t |
| v5 | Commitment Hash | float | SHA-256 of commit_{t} normalized |
| v6 | Signature Validity | float | Validity score ∈ [0, 1] |
Dynamics Equations
Time Flow (7th Dimension)
τ̇(t) = 1.0 + DELTA_DRIFT_MAX · sin(OMEGA_TIME · t)
- DELTA_DRIFT_MAX = 0.5, OMEGA_TIME = 2π/60
- Normal flow = 1.0; causality requires τ̇ > 0
Entropy Flow (8th Dimension)
η̇ = BETA · (ETA_TARGET - η) + 0.1 · sin(t)
- BETA = 0.1, ETA_TARGET = 4.0
- Ornstein-Uhlenbeck drift with periodic perturbation
Quantum Evolution (9th Dimension)
q(t) = q₀ · e^(-iHt)
- Unitary evolution under Hamiltonian H
- q₀ typically initialized to 1+0j
Shannon Entropy Computation
- Flatten context vector (complex → magnitude, reals → float)
- Histogram with 16 bins, density-normalized
η = -Σ p·log₂(p + 1e-9) over non-zero bins
Workflow
- Generate 6D context vector from current time
t.
- Compute Shannon entropy of context vector.
- Evolve quantum state from initial condition.
- Pack into 9-element numpy array (mixed dtype via
object).
- Pass to governance gate for evaluation.
Constants
| Name | Value | Purpose |
|---|
| PHI | (1+√5)/2 | Golden Ratio |
| R | PHI | Harmonic Base |
| TAU_COH | 0.9 | Coherence Threshold |
| ETA_TARGET | 4.0 | Target Entropy |
| BETA | 0.1 | Entropy Decay Rate |
| ETA_MIN | 2.0 | Min Entropy |
| ETA_MAX | 6.0 | Max Entropy |
Guardrails
- The context vector uses
dtype=object to hold mixed float/complex types.
- Entropy computation must handle complex values by taking magnitudes.
- Quantum state must remain normalized (unitary evolution preserves this).
- Time value must be real and monotonically increasing in production.
