Admissibility Closure for Habitability Predictions: A Tier-0 Law-Level Extension of Multiverse Compatibility Analyses

This paper provides a law-level structural extension of recent habitability-based compatibility analyses in fundamental physics. Rather than treating multiverse ensembles or anthropic selection as primitive assumptions, the work recodes compatibility statistics as admissibility tests for physical law-classes under a minimal closure framework (Tier-0). Boundary restriction, induced dissipation, and closure stability are identified explicitly, allowing empirical habitability constraints to be interpreted without committing to an ontology of realized universes. The central result is a strengthening of compatibility claims: exclusions are shown to classify inadmissible unconstrained law-classes, while surviving regions impose rigidity requirements on ultraviolet-to-infrared structure. This reframes multiverse-compatibility pipelines as closure classifiers for lawful fixed points, not as evidence against unified law. The analysis preserves the original computational content and empirical inputs, while clarifying their structural meaning at the level of lawhood. Multiverse language is shown to be optional rather than foundational; the substantive conclusions follow from admissibility closure alone. This work is intended as a non-competitive clarification that explains what such compatibility results mean structurally, and how they generalize beyond ensemble-based interpretations.