Lume‑Ops v2 The Deterministic Vascular Operational Mesh for Multi‑Organism Ecosystems

Lume‑Ops v2 extends the deterministic operational substrate introduced in Lume‑Ops v1 into a distributed, multi‑organism operational mesh capable of routing resources, events, and agent actions across nodes, verticals, and physical‑digital systems. Version 1 established the circulatory model for a single organism: deterministic routing, invariant‑preserving operational flows, envelope‑bounded actions, and replayable operational state transitions through a 63‑block architectural specification. Version 2 generalizes this model into a vascular system for the entire DAIGS ecosystem, enabling multi‑agent, multi‑node, and cross‑vertical operational coordination while preserving all v1 guarantees. The paper presents the v2 architecture in eight canonical sections: (1) distributed operational state model with deterministic merge, (2) deterministic multi‑agent routing with a seven‑stage pipeline, (3) resource governance with seven resource classes and deterministic metabolism, (4) four‑level operational envelope hierarchy, (5) cross‑vertical operational mesh spanning all 23 DAIGS verticals, (6) deterministic event fabric with τ‑ordered propagation, (7) physical‑digital operational layer governing sensors and actuators, and (8) operational certificate fabric with eight certificate types (LTC‑Ops v2.0). Five fundamental properties are proven: operational determinism (identical inputs produce identical operational outcomes across all nodes), vascular consistency (all organisms observe identical shared operational state), routing completeness (every operational request receives a deterministic routing decision), envelope monotonicity (child envelopes never exceed parent bounds), and replay fidelity (complete operational history is reproducible from genesis). Lume‑Ops v2, executing on the Lume‑OS v2 distributed deterministic runtime, forms the vascular system of DAIGS v2 — routing the operational lifeblood of deterministic governance across cities, industrial systems, hydrological networks, environmental systems, energy grids, supply chains, and multi‑agent AI deployments. Patent Pending — U.S. Pat. App. No. 64/032,339 — "Deterministic Governance Substrate for AI and Operational Systems." Filed April 7, 2026.