Ab Initio Mass Generation and Topological Interaction Diagrams in the Geometric Standard Model from M-Theory Vacuum Dynamics

This preprint presents a parameter-free geometric framework deriving fifteen Standard Model observables from M-theory compactified on a G2-holonomy manifold. Two geometric moduli, stabilized by a Wheeler-DeWitt thermodynamic attractor on the Joyce orbifold T7/(Z₃ ⋉ I*) with Betti numbers (b₂, b₃) = (27, 451), determine lepton masses (electron, muon, and tau), the muon anomalous magnetic moment, the top quark and Higgs boson masses, and the complete quark Yukawa hierarchy spanning five orders of magnitude—all within 2.6% of experimental values. A topological diagram calculus replacing Feynman diagrams is introduced, yielding UV-finite amplitudes without renormalization. Bayesian model comparison yields a Bayes factor of 10³⁹ in favor of the geometric framework over uncorrelated parameters. Five falsifiable beyond-standard-model predictions are presented, including a 68 MeV volume modulus scalar testable at SHiP and LDMX.