Effective Energy Dissipation and Emergent Mass Term in Non-Adiabatic Yang–Mills Systems

This short note presents a conceptual model that explores how energy dissipation in non-adiabatic gauge systems can produce an effect mathematically similar to a mass term in Yang–Mills theory. The purpose is not to propose a rigorous proof of the Yang–Mills mass-gap problem, but to examine a classical analogy that may provide insight into field-energy behaviour under imperfect boundary conditions.