TITAN OLYMPUS III: The Living Machine — Inverse Compiler, Immune System, Operator Symbiosis, and Thermal Contract of the Geometrodynamic Computing Core

TITAN OLYMPUS III is a conceptual preprint that turns the geometrodynamic computing core of TITAN OLYMPUS and TITAN OLYMPUS II into a living machine with four organs. Part I defines the inverse compiler: a three-level intermediate representation (intent, flow specification, metric synthesis), adjoint optimization over a reduced modal basis (1e3-1e5 effective variables),feasibility-not-optimality objective, trust-region and homotopy escalation, a validated map library with staleness envelopes, and a self-calibrating digital twin with widening uncertainty envelopes. Part II defines the immune system: Reed-Solomon error correction over the actuator lattice, syndrome extraction with a 1e-12 to 1e-15 back-action budget, canary geodesics withmap-conditional expectations and voting, two-tier compensation winning the syndrome race statistically, recovery states R1-R4 with fail-stop semantics, and immune memory stored in VAULT. Part III defines human-AI symbiosis: a three-layer intent stack, SAE-like autonomy levels with an independent hardware interlock veto, explanation-by-exception with cached certificates,alert budgeting, and a sound-not-complete verified-numerics verifier backed by runtime interlocks. Part IV defines the thermal contract (Gate 4a) with the TITAN ENERGY radiator ladder: a two-time-constant thermal buffer (substrate heat capacity plus phase-change micro-accumulator with cycle-life margin and sensible fallback), transient contract with melt-fraction state,waste-heat reuse, and radiator aging curves. Four normative clarifications to TITAN OLYMPUS II are included. This deposit (v1) is bilingual from first deposit: Russian original (file TITAN_OLYMPUS_III_ru.pdf) and full English manuscript (file TITAN_OLYMPUS_III_en.pdf).