The Control–Entropy Paradox: Modeling the Thermodynamic Limits of Environmental Governance

Environmental governance often seeks to reduce disorder, yet the energetic and material costs of control are overlooked. This article presents the Control–Entropy Paradox, developing a formal systems model and a conceptual extension of governance theory. Drawing on thermodynamics, systems ecology and control theory, we derive a nonlinear equation showing that intensified control beyond a critical point leads to diminishing internal gains and accelerating external disorder. This reframes governance as a materially bounded, energetically costly process rather than an immaterial act of coordination. The paradox exposes how sustainability efforts—such as conservation enforcement and smart infrastructure—rely on hidden metabolic inputs that displace entropy across systems and scales. We argue that integrating thermodynamic principles into governance design is essential to avoid systemic fragility and overshoot, offering a new framework for diagnosing and guiding sustainability transitions under rising socioecological complexity.