The Generalized Variable Friction Constraint in Stochastic Networks

CORRIGENDUM -- Note regarding Version 1: Previous drafts defined the Feasible Operating Region using a linear inequality. Subsequent stress-testing reveals that this linear form is merely a First-Order Taylor Approximation valid only for low-density regimes (Backlog < 15%). In saturated networks, the linear assumption violates entropy constraints. This paper introduces the Generalized Exponential Barrier. We demonstrate that the 'Interaction Penalty' (alpha) is not a static constant, but a dynamic tensor dependent on system variance. The corrected constraint requires an exponential damping factor to prevent manifold collapse under heavy load.