Lume‑OS: A Deterministic Operating System for Autonomous Systems

Autonomous systems now operate aircraft, power grids, hospitals, factories, vehicles, defense systems, and municipal infrastructure. Yet the software governing these systems remains nondeterministic, non‑auditable, and non‑reproducible. Modern AI systems hallucinate, multi‑agent systems disagree, cyber‑physical systems drift, and continuous‑dynamics environments amplify small errors into catastrophic failures. No existing operating system provides deterministic governance for autonomous systems across domains. This paper introduces Lume‑OS, the first deterministic operating system for autonomous systems. Built on the DAIGS substrate, Lume‑OS integrates natural‑language determinism, invariant‑preserving safety, multi‑agent arbitration, deterministic override, certificate‑based operational truth, and replay‑identical execution into a unified kernel. Lume‑OS compiles human intent expressed in natural language into deterministic, safety‑preserving, multi‑agent‑convergent actions that operate reliably in continuous‑dynamics environments. Lume‑OS defines a universal kernel for autonomous systems, enabling domain‑specific verticals (Lume‑Aero, Lume‑Energy, Lume‑Def, Lume‑Med, Lume‑Ops, etc.) to operate on a shared deterministic substrate. We formalize the Lume‑OS architecture, define its operational semantics, and present constructive proofs demonstrating invariant preservation, deterministic override correctness, multi‑agent convergence, and replay‑identical behavior. Lume‑OS establishes a new category of operating system: a deterministic governance substrate for the automated world.