RQGP Alpha Cluster Topology and GK-A Graph Analysis

We present a static, graph-theoretic analysis of alpha-cluster structure derived from theRefined Quantum Geometric Physics (RQGP) and Axis-Occupied Mass (AOM) frameworkpreviously introduced for hadronic confinement. Treating the alpha particle as a constrainedcomposite of four nucleon-like subgraphs, we construct an explicit topology (GK-A) definedby ring-closure, piston, and brace edges.An exhaustive enumeration of all admissible edge-sign configurations is performed, yield-ing a complete stability landscape over the full configuration space. We show that a smallsubset of configurations consistently maximizes a composite structural stability score acrossa wide range of weightings, including polarity-agnostic limits. These configurations persistunder systematic weight perturbations and motif-level structural ablations.Importantly, maximal structural stability does not require direct defect-to-defect adja-cency; instead, it correlates with distributed topological redundancy across the compositegraph. All results are static and make no dynamical assumptions regarding flux transportor force mediation.This work establishes a minimal, explicitly falsifiable structural foundation for alpha-cluster binding and provides a platform for future dynamical extensions and generalizationto heavier nuclei.