Gauge structure is ordinarily introduced as a symmetry principle constraining local interactions. The present paper asks a narrower and prior question: can a structural admissibility criterion constrain interaction architecture before detailed symmetry exploitation is specified? Working within a reduced action-compatible formulation of the Quantized Dimensional Ledger (QDL), this paper develops a self-contained notion of closure-compatible interaction organization. A local interaction architecture is said to be closure-compatible when repeated local coupling insertion preserves the admissible ledger type of the derivative sector and does not generate closure-breaking drift in the action density. Within this setting, a closure-compatibility proposition is established: if the derivative operator carries the canonical admissible ledger weight and interaction insertions are ledger-neutral, then covariant-derivative-style organization preserves admissibility of kinetic and interaction sectors under repeated local insertion, whereas generic non-neutral insertions do not. A Standard Model-style worked example is given in which gauge fields and gauge couplings are assigned neutral ledger status and matter, Yukawa, and symmetry-breaking sectors remain closure-compatible under the resulting interaction organization. A second example shows how sector neutrality stabilizes admissible interaction classes under repeated composition. The paper does not derive the Standard Model gauge group, anomaly cancellation, or matter content. Its claim is narrower: structural admissibility is compatible with, and may favor, gauge-like local interaction organization over arbitrary non-neutral coupling architectures. This result serves as a bridge from operator-level admissibility to matter-representation selection within the broader QDL Unified Admissibility Theory program.
James D. Bourassa (Thu,) studied this question.