Meta-Stable Architectures Volume II (v2)

Meta-Stable Architectures is a three-volume theoretical framework exploring metastable dynamics in adaptive dissipative systems capable of surviving structural crises. The trilogy develops a unified dynamical architecture in which stability, crisis, isolation, learning, and recovery emerge from the interaction between potential-driven dynamics, bounded regulatory mechanisms, and adaptive memory processes. Volume I establishes the mathematical foundation of bounded adaptive dynamics and proves global boundedness and forward completeness under explicit structural assumptions. Volume II introduces crisis scaling as a measurable energetic process and develops adaptive regime-transition mechanisms that preserve dissipativity while enabling controlled structural change. Volume III extends the framework with homeodynamic memory regulation and stochastic perturbations, demonstrating mean-square boundedness and the thermodynamic advantage of learning through reduced effective survival cost. Together, the trilogy proposes a coherent theoretical architecture for metastable adaptive systems operating under uncertainty and structural stress. Project Symbiosis explores collaborative human–AI theoretical modeling as a method for developing complex systems frameworks. This volume develops the crisis-scaling layer and regime-transition mechanisms of the architecture.