Baryon Masses

We present a parameter-free derivation of light baryon masses based on the interplaybetween three-body quantum geometry and SU(3) flavor symmetry. Starting fromthe Principle of Determinacy—a topological constraint on simultaneous localizationof three fermions in a color-singlet state—we derive a universal quark momentumpoctetc = ΛQCD · π/2 = 314.16 MeV for the JP = 1/2+ octet and pdecupletc = ΛQCD ·2π/3 = 418.88 MeV for the JP = 3/2+ decuplet. The geometric factors π/2 and 2π/3emerge from projection of an equilateral momentum triangle onto spatial manifoldswith different spin symmetries and are linked to the root system of SU(3). Currentquark masses (mu = 2.16 MeV, md = 4.67 MeV, ms = 93.0 MeV) from pseudoscalarmeson spectroscopy yield proton and neutron masses with ±0.03 MeV accuracy. Forstrange baryons, systematic deviations of 160 MeV–690 MeV reflect violation of theforce-balance condition and triangle symmetry in the presence of heavy quarks, not afundamental model failure. This work establishes that confinement kinetic energy isgeometrically quantized by ΛQCD and the topology of three-body localization.