SOCIAL INSTABILITY TRAP: Formal Dynamical Model (Work 15 v2.0 FINAL | DLF-compatible | Social DLF_margin | M_Gini/M_capture Memory | W20 Unified Binding)

Work 15 formalizes Social Instability Trap (Trap #3) as THE SOCIAL LAYER of Omega-u. v2.0 unified with Work 20 v2.2. H_social=kappa_d*C_h*M*L_s*(1-E_c) is social multiplier for G[K] -- when E_c->1 or C_h->0, G[K]->0 regardless of compute. D_crit_social=min(0.75-E_c, L_s-0.15, M-0.15) is social DLF_margin proxy. M_Gini (dM/dt=-0.10*M+0.70*G_s) and M_capture (dM/dt=-0.12*M+0.80*E_c) memory formalize path-dependence. THEOREM: if gamma_civic=0 AND delta_agr=0, Trap #3 blocks entire Omega-u. 16/16 tests including T17 full W20 chain. TRL: 4. • Work 16: FINANCIAL_INSTABILITY v2.0 (P_extinction, M_war, M_bubble) • Work 17: INSTITUTIONAL_DEGRADATION v2.2 (D_crit, I_q, Benquo) • 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 15 = THE SOCIAL LAYER: H_social is driven by C_h, M, L_s, E_c. E_c (elite capture) feeds W20 memory via Phi accumulation. C_h collapse -> H_social -> 0 -> G[K] -> 0 regardless of compute. **Closes:** Civilizational Trap #3 — Social Instability (formally) Николай Мишко Аффилиация: Asia Digital Hub, Астана, Казахстан Эл. почта: nikolaimishko@gmail.com Рецензирование организаций: Клод (Anthropic), DeepSeek, Gemini, Grok (xAI)