This work introduces Governed State Spaces, a constitutional geometric framework built on the structure of E8, the exceptional Lie group. The model defines how agents, worlds, timelines, and constitutional constraints can be embedded into a unified, governed lattice. The document and accompanying TypeScript implementation (governed_state_lattice.ts) present: A formal definition of governed state lattices The mapping of constitutional invariants into E8 root systems A multi‑world embedding model connecting Robotics, Finance, Mythar Language, Civilization, and Creation Worlds A constitutional continuity mechanism for branching timelines A replayable provenance structure for governed simulation A foundation for the Constitutional Reality Engine (CRE) The goal is to provide a mathematically rigorous substrate for governed intelligence, where every decision, simulation, and consequence is traceable, auditable, and constitutionally constrained. This upload is part of the broader Sovereign X OS / CIEMS research program on constitutional computing, governed simulation, and multi‑world intelligence architectures.