RQGP Closure Structure and Class Taxonomy -

We present a computational classification of closure behavior in constrained axis-based net-work systems within the RQGP framework. A central result is that structural admissibilityis necessary but not sufficient for efficient realization: configurations with zero structural RTSmay exhibit high network RTS if the axis roles of injection, routing, and termination cannot bejointly satisfied.We introduce an operational taxonomy of closure outcomes—complete, incomplete, trans-formed, broken, and null—and show that these arise from asymmetric functional roles of threeaxes within the constrained support. Equivalence classes under realization metrics are iden-tified, revealing realization-level degeneracies between structurally distinct configurations. Atransition-graph formalism is then used to summarize how controlled defect operations moveconfigurations between closure regimes.This work establishes a reproducible structural classification of closure behavior withoutinvoking physical field dynamics or claiming a derived fundamental theory. The results providea computational foundation for later formalization of closure structure, defect pathways, andaxis-role realization within the RQGP program