Elimination by Closure When Foundational Constraints Do the Work

This paper formalizes elimination by closure as the mechanism by which foundational constraints perform explanatory work without auxiliary structure. It shows that once admissibility, standing conservation, and scope invariance are enforced, large classes of purported entities, dynamics, parameters, and repair strategies are not refuted individually but eliminated structurally. The analysis demonstrates that explanatory surplus disappears when foundational constraints are applied exhaustively, leaving no admissible remainder. No algorithms, constructions, or procedural eliminations are introduced; the result is a necessity-based account of why closure removes alternatives automatically when the correct constraints are fixed.