FINANCIAL INSTABILITY TRAP: Formal Dynamical Model (Work 16 v2. 0 FINAL | DLF-compatible | Pₑxtinction as W20 COLLAPSE Trigger | Mwar & Mbubble Memory | Thucydides & Minsky)

Work 16 formalizes Financial Instability Trap (Trap #7) as THE FINANCIAL LAYER of Omega-u. v2. 0 unified with Work 20 v2. 2. Pₑxtinction=Pconflict*omegaₙuc is the LEXICOGRAPHIC BARRIER: >0. 10 -> W20 COLLAPSE. Dcritfinancial=min (1. 5-D, 0. 10-Pₑxt, 8. 0-Lev) is financial DLFₘargin proxy. Mwar memory from Thucydides (dMwar/dt=-0. 10*Mwar+0. 80*Pconflict), Mbubble from Minsky (dMbubble/dt=-0. 15*Mbubble+0. 90*I (Lev>Levcrit) ). Dcritₑxtfin captures path-dependence. Hfinancial=Cb*Iq* (1-Fc) kills GK when Fc->1. 15/15 tests including T14 (Mwar) and T15 (Mbubble). TRL: 4. • Work 17: INSTITUTIONALDEGRADATION v2. 2 (Dcrit, Iq, Benquo phases) • Work 18: TECHNOLOGICALSTAGNATION v2. 0 (Iₙ, phi (Iₙ) ) • Work 19: INFORMATIONASYMMETRY v2. 2. 3 (Signal Layer, SQI) • Work 20: UNIFIEDMASTERTHEOREM v2. 2 (DLF + 11D + AGI Contract) Work 16 = THE FINANCIAL LAYER: Pₑxtinction is the LEXICOGRAPHIC BARRIER. Pₑxtinction > 0. 10 maps to W20 COLLAPSE regardless of other layers. Mwar in W20 memory layer is directly driven by Thucydides pressure. D (debt) -> Bbubble in W20 memory when D > Dcrit. **Critical extension: ** Thucydides Trap (hegemonic transition → war risk) as Nash equilibrium under financial stress — first formal integration with civilizational AGI framework. Николай Мишко Аффилиация: Asia Digital Hub, Астана, Казахстан Эл. почта: nikolaimishko@gmail. com теория v1. 3 + симулятор v1. 3 Рецензирование организаций: Клод (Anthropic), ChatGPT (OpenAI), DeepSeek, Кими (01. AI), Grok (xAI)