McPhetridge, Mitchell D.: Φ Under Pressure (PhiUP) A Constraint Framework for Structural Failure Before Functional Collapse

Abstract This paper defines a minimal condition for the persistence of constraint-governed systems under scale. A system remains structurally admissible only while entropy introduced by generation is matched or exceeded by constraint-induced entropy reduction or admissible redistribution of probability mass. Formally: \Delta H_{gen}(t) \le \Delta C_{stab}(t) Where: * H: entropy over the admissible candidate distribution * \Delta H_{gen}: entropy introduced by generative expansion * \Delta C_{sta