L1 Paper 2 Equivalence Completion in the QCD CP Odd Sector

This paper analyzes the structure of the CP-odd sector associated with QCD and shows that its admissible equivalence space is complete once standing preservation, admissibility, and redescription stability are fixed. The analysis is eliminative: it demonstrates that all admissible CP-odd distinctions are already accounted for within the closed equivalence structure, and that no additional independent degrees of freedom can be introduced without structural violation. The result does not posit new symmetries, mechanisms, or dynamical explanations. Instead, CP-odd terms are treated as representational features subject to equivalence completion under admissible redescription. Attempts to extend or refine the CP-odd sector beyond this completion are shown to collapse distinctions required for standing, introduce illicit scope transport, or rely on deferred admissibility. The paper introduces no primitives and no procedures. Its contribution is boundary-setting: it clarifies why the CP-odd equivalence structure in QCD is closed and exhausted in admissible local descriptions, and why further modification is structurally inadmissible rather than empirically unresolved.