Title Adaptive Civilization: Nonlinear Dynamics, Regenerative Sovereignty, and the Mathematics of Long-Term Human Survival ⸻ Short Scientific Subtitle Toward a Unified Theory of Nonlinear Civilization and Adaptive Stability

Abstract Modern civilization increasingly operates under conditions of nonlinear complexity, synchronization pressure, informational acceleration, and systemic fragility that challenge the assumptions of traditional equilibrium-based economics, governance, and political theory. This work develops a unified theoretical framework treating civilization as a nonlinear adaptive thermodynamic system evolving under irreversible entropy accumulation, finite-time instability dynamics, and adaptive capacity constraints. The book introduces the foundations of Unified Adaptive Civilizational Science, integrating nonlinear dynamics, thermodynamics, systems theory, information theory, synchronization physics, regenerative economics, network science, and adaptive governance into a coherent civilizational framework. Core concepts include Adaptive Capacity \mathcal{C}, Regenerative Flow \mathcal{R}, Synchronization Pressure \Gamma_{sync}, Entropic Debt D_{\Sigma}, Semantic Stability \Psi_{shared}, and the generalized Civilizational Survivability Functional: \mathcal{S}_{civil}=(\mathcal{R}+\mathcal{C}+\Psi_{shared}+\Theta_{alt}+\mathcal{T}_{soc})-(\Sigma+\Gamma_{sync}+D_{\Sigma}+\Sigma_I) The framework argues that long-term civilization remains viable only while regenerative, adaptive, semantic, and energetic capacities exceed entropy growth, synchronization amplification, informational fragmentation, and systemic instability. The work further develops theories of finite-time cascade collapse, temporal compression, adaptive sovereignty, regenerative macroeconomics, nonlinear banking architecture, algorithmic civilization, multipolar resilience, and anti-cascade governance. The central thesis of the book is that the future continuity of humanity depends not upon maximum acceleration or optimization, but upon the construction of regenerative, resilient, semantically coherent, and adaptively flexible civilization capable of surviving irreversible complexity and nonlinear systemic dynamics across time.