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)

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

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

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

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.