Latent Behavioral Drift Invariant: Lie-Derivative Manifold Projections and Autonomous Entrapment Isolation in Coercive Funneling

This theoretical technical note presents the mathematical formulation of the Latent Behavioral Drift Invariant (Falcon Impossibility F04). We formalize cognitive-behavioral execution trajectories as dynamic flow fields on a smooth Riemannian manifold M. By evaluating the Lie derivative of the volition differential form Φ along the execution vector field v, we establish an analytical criterion (L_v Φ = 0) for distinguishing volitional intent from coercive boundary constraints (entrapment funnels). Under coercive perturbation, non-integrable curvature arises, violating the Frobenius integrability condition (Φ ∧ dΦ ≠ 0) and triggering autonomous entropy collapse and hardware-level containment without relying on statistical anomaly heuristics or sensitive runtime exposure.