FINANCIAL INSTABILITY TRAP: Formal Dynamical Model (Work 16 v2.0 FINAL | DLF-compatible | P_extinction as W20 COLLAPSE Trigger | M_war & M_bubble 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. P_extinction=P_conflict*omega_nuc is the LEXICOGRAPHIC BARRIER: >0.10 -> W20 COLLAPSE. D_crit_financial=min(1.5-D, 0.10-P_ext, 8.0-Lev) is financial DLF_margin proxy. M_war memory from Thucydides (dM_war/dt=-0.10*M_war+0.80*P_conflict), M_bubble from Minsky (dM_bubble/dt=-0.15*M_bubble+0.90*I(Lev>Lev_crit)). D_crit_ext_fin captures path-dependence. H_financial=C_b*I_q*(1-F_c) kills G[K] when F_c->1. 15/15 tests including T14 (M_war) and T15 (M_bubble). TRL: 4. • Work 17: INSTITUTIONAL_DEGRADATION v2.2 (D_crit, I_q, Benquo phases) • Work 18: TECHNOLOGICAL_STAGNATION v2.0 (I_n, phi(I_n)) • Work 19: INFORMATION_ASYMMETRY v2.2.3 (Signal Layer, SQI) • Work 20: UNIFIED_MASTER_THEOREM v2.2 (DLF + 11D + AGI Contract) Work 16 = THE FINANCIAL LAYER: P_extinction is the LEXICOGRAPHIC BARRIER. P_extinction > 0.10 maps to W20 COLLAPSE regardless of other layers. M_war in W20 memory layer is directly driven by Thucydides pressure. D (debt) -> B_bubble in W20 memory when D > D_crit. **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)