QDL Operator Governance as a Reproducible SMEFT Matrix Audit: Modular Sector Selection, Anomalous-Dimension Closure, and Violation Taxonomy

The Quantized Dimensional Ledger (QDL) treats physical theory construction as a problem of structural admissibility, closure completion, transformation stability, and residual survival. Physical quantities, fields, operators, constants, measurement chains, effective interactions, and dynamical maps must possess ledger representations, close in declared sectors, preserve closure under admissibility-relevant transformations, and pass residual-first empirical adequacy. This paper develops the QDL operator-governance layer: the claim that admissible operators and their renormalization maps must preserve declared QDL closure structure. The Standard Model Effective Field Theory (SMEFT) supplies the natural benchmark…