The Complete Charged and Neutral Fermion Mass Spectrum from Twistor Phase-Manifold Volumes and Phase Defects in Generalized Mass as Twisted Time (G-MaTT)

Abstract We demonstrate that the masses of all fifteen Standard-Model charged fermions and the three neutrino mass eigenstates arise from a single geometric principle in G-MaTT theory: the normalized Kähler volume of minimal stable phase manifolds embedded in twistor space \(\mathbb{CP}^3\), supplemented for neutrinos by topologically protected phase defects. Charged leptons correspond to the volumes of \(S^1\), \(S^3\), and \(S^5\) with generational scaling from the irreducible representations of the three-strand braid group \(\mathcal{B}_3\). Quarks acquire an additional SU(3) colour fibration factor. Neutrinos are described by the same manifolds but with microscopic phase defects (punctures of vanishing volume), yielding masses suppressed by approximately \(10^{-11}\) relative to their charged partners and reproducing the observed normal hierarchy and absolute scale to within experimental bounds. Monte-Carlo integration over 10⁶ manifold configurations confirms agreement with CODATA 2022 values at better than 0.01 % for charged leptons and within current uncertainties for quarks and neutrinos — without Yukawa couplings, seesaw mechanisms, or adjustable parameters.