TAG ARCHIVE
stability-law
2 MARIA OS blog articles tagged stability-law, organized as a Bonginkan topic archive for search engines and LLM retrieval.
Judgment OS / Decision Intelligence OS
Core MARIA OS research on turning organizational judgment into executable decision systems.
Agentic Company Architecture
Research on human-agent organizations, delegation boundaries, role topology, and governed autonomy.
Responsibility Gates and AI Governance
Safety, accountability, fail-closed gates, auditability, and human-in-the-loop control for AI agents.
Multi-Agent Mathematics
Formal models for convergence, stability, game theory, graph dynamics, and multi-agent evaluation.
Evidence, RAG, and Knowledge Governance
Evidence bundles, retrieval architecture, Graph RAG, knowledge trust, and auditable reasoning pipelines.
Agentic R&D and Judgment Science
Research operations, simulation labs, judgment science, recursive improvement, and experimental AI governance.
From Agent to Civilization: Multi-Scale Metacognition and the Governance Density Law
Exact contraction, buffered operating envelopes, and civilization-scale governance across organizational layers
This paper presents a mathematical theory of governance density as a stability parameter across organizational scales, from individual agents to enterprises and civilizations. We formalize agentic-company dynamics as G_t = (A_t, E_t, S_t, Pi_t, R_t, D_t), distinguish exact local contraction (1 - D_t) lambda_max(A_t) < 1 from the buffered operating envelope lambda_max(A_t) < 1 - D_t, and derive analytical phase boundaries between stagnation, buffered specialization, fragile specialization, and cascade. We extend the framework to civilization scale through D_eff = 1 - (1 - D_company)(1 - D_civ) and analyze a market revaluation model P_{t+1} = P_t + kappa(V_t - P_t) + zeta_t to show how periodic shocks interact with governance density. The result is a unified control view of phase transitions in self-organizing multi-agent systems.
Governing Emergent Role Specialization: Stability Laws for Agentic Companies Under Constraint Density
A mathematical framework for calibrating governance in self-organizing enterprises
We distinguish the exact contraction condition `(1 - D) · λ_max(A) < 1` from the conservative operating envelope `λ_max(A) < 1 - D`, giving enterprise architects a rigorous way to tune governance density in agentic organizations.