Particle and Soliton Families, Topological Charges, and Electroweak Couplings in the OFGFT Skyrme–Dilaton Framework

Abstract We investigate how far particle and topological-defect families can be organized within the coupled SU(2) Skyrme–Dilaton prototype proposed in One Fundamental Geometric Field Theory (OFGFT). The starting point is an existing degree-one radial soliton and its action, not a demonstrated unification of all matter. We collect SU(2) collective-coordinate charges, a conditional SU(3) flavor extension, standard mass identities, and numerical collective inertias; distinguish the vector-gauged Skyrme current from a complete anomalous electromagnetic source; and present the electroweak SU(2)_L × U(1)_Y and Higgs equations as an added, explicitly defined sector. A normalized topological density, finite-size frozen-source Coulomb benchmark, radial Hessian checks and finite-domain fluctuation spectrum provide model-specific numerical tests. In the tested radial Ritz spaces the lowest mode approaches the scalar continuum threshold and spreads spatially, with no localized bound vibration demonstrated. We classify the additional leptonic, gauge, hadronic and exotic-defect families by required field content, topology, quantum numbers and evidence status. The present results are conditional constructions and internal checks; they do not derive electron solitons, all Standard Model particles, fully self-consistent charged solutions or a fundamental unified action. The manuscript separates exact algebraic relations, results of restricted approximations, imported Standard Model sectors, and open existence or spectrum problems. Gravitational dynamics, black holes and cosmology are reserved for a separate investigation (Paper 6). Keywords: Skyrme–Dilaton; SU(3); collective quantization; electromagnetic current; electroweak theory; Higgs mechanism; soliton topology; anomaly cancellation; spectral convergence; OFGFT.