SOCIAL INSTABILITY TRAP: Formal Dynamical Model (Work 15 v2. 0 FINAL | DLF-compatible | Social DLFₘargin | MGini/Mcapture 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. Hₛocial=kappad*Cₕ*M*Lₛ* (1-Ec) is social multiplier for GK -- when Ec->1 or Cₕ->0, GK->0 regardless of compute. Dcritₛocial=min (0. 75-Ec, Lₛ-0. 15, M-0. 15) is social DLFₘargin proxy. MGini (dM/dt=-0. 10*M+0. 70*Gₛ) and Mcapture (dM/dt=-0. 12*M+0. 80*Ec) memory formalize path-dependence. THEOREM: if gammacivic=0 AND deltaₐgr=0, Trap #3 blocks entire Omega-u. 16/16 tests including T17 full W20 chain. TRL: 4. • Work 16: FINANCIALINSTABILITY v2. 0 (Pₑxtinction, Mwar, Mbubble) • Work 17: INSTITUTIONALDEGRADATION v2. 2 (Dcrit, Iq, Benquo) • 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 15 = THE SOCIAL LAYER: Hₛocial is driven by Cₕ, M, Lₛ, Ec. Ec (elite capture) feeds W20 memory via Phi accumulation. Cₕ collapse -> Hₛocial -> 0 -> GK -> 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)