HRC W20 Alignment v1.0 — Human Redundancy Crisis Integration with Omega-u Civilizational Framework: HAI as H_social Formal Specification, λ₄ Utility Parameter, n_stable=3 Triadic Proof, and Cross-Cascade Matrix Contributions

This alignment document formally integrates the Human Redundancy Crisis (HRC) package v2.0 (20 documents, 8 layers) with the W20 v8.3 civilizational control architecture and the Omega-u series Works W11–W20. HRC models the civilizational human agency layer through state vector X = [AP, SI, RB, TR, K_conc] and Human Agency Index HAI = AP^0.45 × SI^0.35 × RB^0.20, where AP is agentive potential, SI is institutional quality, RB is resource buffer, TR is technology replacement index, and K_conc is capital concentration. The document establishes four alignment layers: (i) W20 State Space Bridge identifying HAI as the formal specification of H_social across the entire Omega-u series — HAI is the operationalisation of human social knowledge capacity that all other W-layer works assume but none define rigorously; the mapping H_social_W20(HRC) = HAI provides the direct link between HRC dynamics and W20's N_novelty formula, making HRC the ninth and most comprehensive AGI_FROZEN path (HAI → 0.25 via AP displacement + SI stagnation + RB depletion → H_social → 0 → N_novelty → 0); (ii) Kodex Priority Ordering Map establishing λ₄ ≥ 0.25 as the unique AGI utility parameter lever — the only work in the series where AGI's control mechanism is internal to its objective function rather than an external constraint or mechanism design; K_conc > 0.80 as the Political Trap hard boundary (Tier 0.2, irreversible without external disruption); and the governance paradox: K_conc capture can block φ_reform before the trap is recognised; (iii) SCF Basin Topology Map aligning four HRC attractors to the three-basin SCF structure — E1 (HAI* ≈ 0.72, λ₄ ≥ 0.25) = Symbiotic Stability, E3 (HAI* = 0.25) = Total Collapse irreversible, E3_trap (K_conc > 0.80) = Structural Capture locked, E4 (D_A >> 1) = Optimization Attractor Trap (a new Total_Collapse variant where excessive optimisation destroys novelty despite high HAI); (iv) Triadic Control Architecture with λ₄ enforcement and κ_reg(λ₄) as AGI levers, HAI monitoring with ρ-uncertainty protocol (ρ explains 52% of T_collapse variance), E4 prevention protocol (reduce λ₄ when D_A > 5), and nine cascade connections to other W-series works via HAI = H_social. Cross-cascade patch contributions include HRC → W12 (HAI = H_human direct identity), HRC → W15 (K_conc → E_c), HRC → W17 (SI ≈ I_q scale conversion), HRC → W18 (AP → I_n), HRC → W19 (K_conc → E_b). The document also notes that HRC Math_Advanced v2.0 n_stable = 3 theorem provides the analytical derivation underlying the Bootstrap Protocol triadic architecture. Николай Мишко Аффилиация: Asia Digital Hub, Астана, Казахстан Эл. почта: nikolaimishko@gmail.com Рецензирование: Клод (Антропик).