DCD Dynamic Optimal Regulation Theory: An Engineering Framework from Hard Boundaries to Autonomous Evolution

Our Diffusion-Cohesion Dynamics (DCD) theory has successfully described the critical conditions, optimal paths, and limiting behaviors of system evolution [1-9], yet it has not addressed how a system can actively and intelligently regulate its own parameters to achieve long-term optimal evolution. Building upon the three established principles (Hard Boundary Rebound Law, Scale Duality Principle, and Asymmetric Evolution Principle), this paper proposes the Dynamic Optimal Regulation Theory, providing a complete mathematical foundation and hardware architecture for the autonomous evolution of DCD chips. We derive dynamic regulation functions for the coupling strength δ, energy recovery efficiency η, and decay rate γ as functions of the evolution count n, and present dynamic ranges for the reorganization trigger conditions ctrigger(n, E) and dtrigger(n, E). We also design four directly hardware-implementable core modules: a hard boundary monitor, a δmin real-time calculator, a δ dynamic modulator, and a reorganization executor. The theory converges all parameters to limit forms determined by the golden ratio ϕ, offering an engineerable autonomous evolution scheme for quantum-photonic-classical heterogeneously integrated chips.