
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.
Stability Analysis, Hysteresis, Queueing Theory, Fluid Dynamics, Network Flow Optimization, Congestion Control, Variable Friction
Stability Analysis, Hysteresis, Queueing Theory, Fluid Dynamics, Network Flow Optimization, Congestion Control, Variable Friction
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