scbe-9d-state-engine

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)

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

1. Generate 6D context vector from current time t.
2. Compute Shannon entropy of context vector.
3. Evolve quantum state from initial condition.
4. Pack into 9-element numpy array (mixed dtype via object).
5. Pass to governance gate for evaluation.

Constants

Guardrails

1. The context vector uses dtype=object to hold mixed float/complex types.
2. Entropy computation must handle complex values by taking magnitudes.
3. Quantum state must remain normalized (unitary evolution preserves this).
4. Time value must be real and monotonically increasing in production.