WARP Graphs: Emergent Dynamics from Deterministic Rewrite Systems

This is Paper V in the AIΩN Foundations Series, establishing the dynamical principles of the AIΩN framework. While Papers I–IV established the kinematics, measurement theory, and observer geometry of deterministic rewrite systems, this work introduces the dynamical law governing how realised worldlines arise from the bundle of admissible histories. We address the "selection problem" in deterministic rewriting by equipping histories with a local action functional and an associated complex amplitude measure. We demonstrate that probabilistic behaviour, interference, and effective unitary evolution emerge from deterministic graph rewriting under observer-induced projection, without assuming intrinsic randomness or continuum postulates.