The Origin of Complex Spacetime, Volume III: Topological Core and Particle Spectrum

        This volume, the third of the five-volume series The Origin of Complex Spacetime, is the core volume bridging topological core and particle empirical verification. Strictly
built upon the axiomatic system of Volume I and the mathematical toolkit of Volume II (including the Low-Energy Degradation Equivalence Theorem in Volume II Part II), it
first presents full algebraic derivations of the WanXiangGengXin equation and the MoZi equation starting from the PanGu equation. Using the 8 = 4 + 2 + 2 generator tripartition of Cl8,C algebra and the 64 = 3 × 21 + 1 orthogonal decomposition of BCC lattices, we forward-derive mass spectra and flavor mixing matrices for all Standard Model fermions. The CKM geometric angle receives higher-order Cartan-Killing trace correction, converging from the first-order bare value 65.57? to 0.64? . Higher-order topological correction frameworks for quark mass discrepancies and neutrino virtual couplings are also provided. The theoretical completion level of each particle is clearly labeled, and all deviations are uniformly attributed to higher-order topological corrections. This text follows the serieswide terminology standard: the fundamental primordial geometry is defined as the nonHermitian complex bilinear metric, while the low-energy limit classical framework is referred to as the real Hermitian metric system. Two computational pipelines are adopted: full high-energy primitive equations from Volume I and low-energy simplified equations from Volume II Part II, with all mathematical identities referenced to Volume II Part I.