This working paper presents Work 16 v2. 2 of the Omega-u Civilizational Framework — a formal dynamical model of the Financial Instability Trap, updated for full structural alignment with W20 v8. 3 (Civilizational Control, Symbiosis, and Ω-u Synthesis). The document models the civilizational financial layer as a 7-dimensional state vector X = D, Lev, Fc, Gₛ, Cb, u, Iq, capturing sovereign debt ratio, leverage, financial capture index, inequality, central bank independence, uncertainty, and institutional quality. The core mathematical framework — established in v2. 1 — is fully preserved: triple autocatalytic instability (debt, leverage, and financial capture self-reinforcing feedbacks), the Thucydides Trap formalised as a Nash equilibrium under financial stress (first formal integration with AGI civilizational framework), piecewise Minsky switch dynamics (runaway feedback above leverage threshold D5=25), Pₑxtinction as lexicographic barrier (Pₑxtinction > 0. 10 overrides all other stability conditions), path-dependent war and bubble memory (Mwar and Bbubble dynamics, T15–T16 confirmed), and triadic control architecture with Alpha/Beta/Gamma roles (Layer 16). All 19 verification tests pass. Version 2. 2 introduces three alignment layers absent in v2. 1: (i) W20 State Space Bridge (Layer 0b) establishing the formal mappings Rfisc = (1−D/Dₛafe) ·Cb· (1−Fc) → W20 Z6, Mwar (W16) = Pconflict (X) → W20 Z9, and Bbubble (W16) = normalised excess leverage → W20 Z10, with explicit formalisation of the lexicographic property: Pₑxtinction > 0. 10 overrides ALL other W20 Z components simultaneously, making W16 the only work in the Ω-u series with a civilizational-scale lexicographic collapse condition; (ii) Kodex Priority Ordering Map (Layer 0c) identifying Pₑxtinction as the unique Tier 0. 1 violation that is lexicographically prior to all other series violations, Thucydides Nash equilibrium as Tier 0. 2 (catastrophic harm), financial oligarchy as Tier 0. 4 (anti-concentration), with uₐgiₐudit and ucbᵢndependence as the two AGI-native levers; (iii) SCF Basin Topology Map (Layer 0d) classifying eight W16 phases into the three-basin SCF structure, with EXTINCTIONRISK uniquely mapped to TotalCollapseₗexicographic — the only phase in the entire series where basin exit overrides all parallel stability computations. A fourth parallel AGIFROZEN path is documented (financial channel: Mwar → Phi → Hₛocial → 0), joining the W17 institutional, W18 compute paradox, and W19 signal starvation paths previously identified. Country analysis confirms Kazakhstan as the only case in Symbiotic Stability basin (D = 0. 28, Pₑxtinction ≈ 0. 02), while the USA model places in EXTINCTIONRISK territory at current parameter calibration (D = 1. 22, Fc = 0. 55), demonstrating the urgency of fiscal stabilisation before AGI deployment. Николай Мишко Аффилиация: Asia Digital Hub, Астана, Казахстан Эл. почта: nikolaimishko@gmail. com теория v2. 2 + симулятор v2. 2 Рецензирование организаций: Клод (Anthropic)
Nikolai Mishko (Wed,) studied this question.