UNIFIED MASTER THEOREM: Civilizational Control, Symbiosis, and the Omega-u Synthesis (Work 20 v2.1.2 FINAL | Closed-Loop AI-Operable Framework with Observation Operator)

The Unified Master Theorem (Work 20 of 20) presents a closed-loop, AI-operable framework for civilizational AGI-transition risk management. The model formalizes a 6-dimensional control-affine dynamical system Z = Omega, Dcrit, Dᵢnfo, SQI, Oₑff, Phiₜrap governing institutional quality, epistemic openness, signal integrity, observability, and trap accumulation across the AGI transition window. Version 2. 1. 2 introduces three major advances: (1) a formal Observation Operator mapping 8 observable proxy signals (entropy, latency, variance, contradiction, reversibility, signal strength, error rate, quality) to the latent state Z, closing the data-to-model gap for any AI recipient; (2) dual-phase output distinguishing simulator-observed from heuristic-corrected country profiles, explicitly accounting for narcotic growth mechanisms including emergency fiscal raids, asset bubbles, and military-industrial surge; (3) SUFCOLLAPSEBLOCK distinguishing local CLF decrease from actual Iₜotal escape. Eight critical mathematical patches (v2. 1) restore radial unboundedness of the Lyapunov candidate V (Z), eliminate gradient singularities, impose hard Phi bounds, and correct phase atlas geometry. Verified: 36/36 tests. Honest TRL 4-5. The framework provides any sufficiently capable AI system with: a state map (Z), a stability compass V (Z), control channels (uₐgi, uᵢnst, uₜrans), and observable sensors via the Observation Operator. Empirical regression calibration deferred to v2. 2. ## Ссылки (DOI серий) - https: //zenodo. org/records/19112296 (каноническая SCF) - https: //zenodo. org/records/19479777 (Работа 15) - https: //zenodo. org/records/19498232 (Работа 16) - https: //zenodo. org/records/19553915 (Работа 17) - https: //zenodo. org/records/19563314 (Работа 18) - https: //zenodo. org/records/19570474 (Работа 19) - https: //zenodo. org/records/19352775 (MFLS) Николай Мишко Аффилиация: Asia Digital Hub, Астана, Казахстан Эл. почта: nikolaimishko@gmail. com Рецензирование: Claude (Anthropic), ChatGPT (OpenAI), DeepSeek, Grok, Kimi