G4 × Phenomenology: The Why Series — Geometric Roots of Five Algebraic Facts in Particle and Nuclear Physics

The Standard Model contains five algebraic facts whose numerical values are repeatedly confirmed by experiment, yet whose "why" — why this value, why this form — has never been answered from deeper physical principles. Why is the strong CP-violating parameter θ forbidden to <10^-10? Why is CP violation measured by the Jarlskog invariant J ≠ 0? Why do neutrino oscillations and the Dzhanibekov effect of a rotating wrench in space share the same asymptotic ratio of 1: 1: 1? Why does a free neutron decay in approximately 880 seconds while a neutron star persists for billions of years? Why does the radiative correction to the muon anomalous magnetic moment take the form of a perturbative series in αEM/π? The G4 series provides a unified answer within the Gluon Elastic Lattice Theory (GELT): space is a nonlinear elastic medium composed of gyrons, whose constitutive relation K (ρ) = K₀1 + ηθ (η=0. 573) and the algebraic structure of the Oₕ point group of the simple cubic lattice determine the geometric form of all matter–space coupling. The series consists of five papers — G4. 1 proves that the strong CP problem is resolved by the strict prohibition of pseudoscalar terms by Oₕ spatial inversion symmetry; G4. 2 proves that CP violation is a geometric necessity of the linear independence of the internal degrees of freedom of the three quark generations; G4. 3 proves that the ergodic ratio 1: 1: 1 is the shared statistical limit of neutrinos and rotating wrenches in the gyron array; G4. 4 proves that free neutron decay, neutron excess in heavy nuclei, and neutron star longevity are unified manifestations of the gradient field in the three density limits of isolation, superposition, and fusion; G4. 5 proves that the muon anomalous magnetic moment is a geometric projection of the intrinsic displacement coupled to the transverse wave field, and the radiative correction is the series expansion of the back-scattering of the transverse wave field. All five papers are independently refereable, yet share a single geometric core — the answer to every "why" is anchored in the discrete symmetries and elastic response of space itself.