Dynamic Heat Equilibrium (D-H-E): A Coupled Climate–Energy Control Framework for Planetary Stabilization

The Earth’s climate system is governed by the balance between incoming solar radiation and outgoing thermal radiation. Anthropogenic greenhouse gas emissions have introduced a persistent positive radiative forcing, leading to long-term warming. This work introduces the Dynamic Heat Equilibrium (D-H-E) framework, a coupled climate–energy model that integrates renewable energy deployment with adaptive control of planetary reflectivity. The model combines slow forcing reduction through decarbonization with fast radiative control via artificial albedo modulation. Results indicate that while renewable energy rapidly reverses the growth trend of atmospheric CO₂, temperature response remains delayed due to climate inertia. The introduction of reflectivity control accelerates stabilization and significantly reduces system response time. The system exhibits stable convergence under moderate control and oscillatory behavior under excessive control, highlighting the existence of an optimal control regime. The D-H-E framework provides a conceptual foundation for transitioning from passive climate mitigation to active planetary energy management. Version 1.2: This version includes improved model formulation, corrected figure integration, and refined stability analysis. This work builds upon previous related preprints by the author and presents a consolidated and refined formulation of the Dynamic Heat Equilibrium (D-H-E) framework.