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Behavioral gate · attractor geometry · real-time freeze

STABLE — keys issuing

Phase space · Lorenz attractor · Takens embedding (τ=3)Butterfly — agent behavioral identity stable

D₂ correlation dim.1.200-1.6% deviation

x(t) →x(t+τ) →x(t+2τ)

D₂ metric history

── baseline 1.220── threshold 2.440

Deviation from baseline+1.6%

0%±2σ threshold200%+

Agent

Controls

Normal behavior

The Lorenz butterfly attractor shows the agent's behavioral identity. Consistent payment patterns = stable geometric structure. D₂ within ±2σ → session keys issued.

POST /api/gate → Python nolds.corr_dim() → ISSUED → addSessionKeyRule()

Gate events live