SGCU 6.0: Complete Geometric Unification Based on the Noncommutative Triple-Well Potential (Full Particle Periodic Table, Prediction List, and Decisive Tests)

Starting from the fundamental structure of noncommutative geometry, we rigorously prove that the potential of SGCU must be a triple-well potential—this is not an optional hypothesis, but an inevitable consequence of the noncommutativity of spatial coordinates. The three minima correspond to the vacuum (φ=0), the first locked state (ordinary matter soliton, φ=φ₀), and the second locked state (a tighter geometric configuration, φ=φ₁). The triple-well potential generates three independent scalar resonance families: the noncommutative vacuum excitation (47 MeV), the first-locked-state excitation (~94 MeV), and the second-locked-state excitation (17–47 MeV). We present the complete particle periodic table based on the triple-well potential, incorporating six geometric quantum numbers—including the newly introduced well quantum number P—to classify all known particles and list all predicted slots and forbidden combinations. Monte Carlo simulations demonstrate that current experimental data already disfavor the double-well potential at the 2.5σ level, and a fourfold increase in the 17 MeV window statistics could achieve a decisive 5σ discrimination.