Space systems now form the backbone of global communication, navigation, climate monitoring, defense, and scientific discovery. Modern satellite constellations operate in dynamic, adversarial, and physics-constrained environments where timing drift, orbital perturbations, radiation noise, and multi-agent disagreement can destabilize entire networks. Yet the software governing these systems remains nondeterministic, non-auditable, and non-reproducible. I introduce Lume-Space, a deterministic governance substrate for orbital mechanics and multi-satellite constellations. Built on the Lume-OS kernel, Lume-Space integrates relativistic timing correction, orbital-invariant enforcement, deterministic multi-satellite arbitration, radiation-noise rejection, and replay-identical orbital reconstruction. Lume-Space compiles natural-language intent into deterministic, invariant-preserving actions that operate reliably in the harsh, continuous-dynamics environment of space. Lume-Space defines a universal substrate for spaceborne autonomous systems, enabling deterministic governance of satellites, probes, landers, rovers, space stations, and multi-orbital constellations. I formalize the Lume-Space architecture, define its orbital semantics, and present constructive proofs demonstrating invariant preservation, deterministic override correctness, multi-satellite convergence, and replay-identical orbital behavior. Results show that Lume-Space enforces deterministic orbital envelopes, maintains certificate-chain integrity, and ensures reproducible outcomes even under radiation storms, perturbation spikes, and multi-satellite conflict.
Ronald Jason Andrews (Thu,) studied this question.