A Forced Floor on the Neutrino Mass Sum at 0.0646 eV, and the Exclusion of the Inverted Ordering

On the C60 geometry the neutrino sector is Majorana, and its potential forces a biaxial alignment. That alignment forces the heavy spectrum into an arithmetic progression, which makes the three light masses a harmonic progression up to signs. A harmonic family of that kind has two free parameters, and the two measured mass-squared splittings fix both. The result is not a fitted curve. It is a sum of neutrino masses pinned to one of three discrete values, {0.0646, 0.0668, 0.0708} eV, with a floor at 0.0646 eV. The ordering is forced to be normal: every inverted-ordering branch demands a sum of 0.1224 eV, which cosmology already excludes. The floor sits 0.4 meV above the current ΛCDM cosmological limit from DESI and the CMB, so under that model the prediction and the knife-edge now meet at nearly the same number from opposite sides. Any cosmology bound that settles clearly below 0.0646 eV, in a model where that bound applies, ends this. The framework also takes a sharp side on a long-standing conjecture: the neutrinos do not satisfy the charged-lepton Koide relation. Forcing Q = 2/3 onto the harmonic family would require a splitting ratio a hundred times smaller than the one measured, so the geometry predicts the Koide relation fails for neutrinos.