Across fundamentally different domains — physical systems, engineered infrastructures, biological organisms, financial networks, and organizational systems — system failure exhibits a structurally invariant pattern: stability persists under bounded transformation and breaks once transformation exceeds the system’s capacity to absorb it. This paper presents eleven independent cases of this invariance and argues that they constitute convergent empirical evidence for a domain-independent structural constraint on persistence. The constraint necessarily takes the form R ≤ IK, where IK decomposes into Frame (F), Module (M), and Coupling (K), yielding R ≤ F·M·K. Variables are measured independently of the outcome they predict, following the Operational Closure Principle (Paper 51 v2). The formal proof that this persistence condition is the unique admissible form of any global persistence law is established in the Persistence Admissibility Theorem (PAT, Paper 81). This paper provides the empirical convergence argument; Papers 81–85 provide the deductive proof. Together they constitute a two-directional closure: from structural necessity above and from cross-domain invariance below.