Geometric Dissipation Theory

Abstract

The proliferation of highly integrated, fast-coupled architectures has rendered traditional linear control theory obsolete for preventing catastrophic cascading failures. Under fast load, disturbances do not propagate linearly but via radial causality, where injected energy spreads simultaneously through all available network couplings. This paper formally introduces Geometric Dissipation Theory and its operational method, Constraint-Buffer-Control with Radial Containment (CBC-RC). CBC-RC separates the roles of physical constraints, thermodynamic buffering, and active control, demonstrating that infinite-bandwidth algorithmic control is an architectural symptom of buffer starvation. To counteract radial propagation, the framework introduces "Geometric Irreversible Dissipation Buffering" to force local dissipation. Empirical validity is established through physical hardware architectures, infrastructure models, and cognitive software boundaries. Finally, the paper provides strict, RFC-style falsification protocols, complete with required observables and explicit threat models, to ensure the framework's predictive boundaries remain scientifically testable and mathematically bounded.