SPSP-SSC-XRQ: GR and SM from SSC Axioms

We present SPSP-SSC as a program that aims to connect classical gravity, the Standard Model, and cosmology through a single projection kernel W(x, sigma) defined on a compact internal space. Contributions in this work are: (i) an axiomatization with rigorous recoveries where available (Einstein–Hilbert + Gibbons–Hawking–York action, ADM/Dirac constraints, anomaly-fixed hypercharges); (ii) a numerical solution of the stationary kernel on S^3 and a derived-W overlap pipeline that reproduces CKM magnitudes without hand-imposed textures; (iii) an explicit one-loop Higgs calculation using a form factor F_W derived from W, yielding a finite bound |delta m_H^2| <= C / (16 pi^2 l_res^2) with C ~ O(10^-1); and (iv) a clear separation of consistency checks (PPN gamma=beta=1, c_GW=c, standard solar-system tests) from claims of novelty. The work remains programmatic: open items include kernel solutions in physical spacetimes (e.g., static sources), BRST/Slavnov–Taylor checks and beta-function matching, CP-violation/PMNS fits, a rigorous strong-CP analysis, and cosmological tests. We provide compact numerical procedures and a concrete roadmap to enable independent scrutiny.