Theorem 2: Open-World Recursive Systems Require Meta-Semantic Constraint Preservation

This theorem formalizes a central claim of Self-Preserving Flow (SPF): recursively adaptive intelligent systems operating in open-world environments cannot preserve long-horizon semantic continuity through fixed first-order constraints alone. We prove that in the presence of semantically unbounded novelty, any system lacking higher-order admissibility constraints on semantic-frame revision inevitably undergoes either epistemic lock-in or semantic collapse. The theorem establishes the necessity of a Meta-Semantic Consistency Layer (Meta-SCL) as a second-order continuity constraint governing the admissible evolution of interpretive frameworks themselves.