Matrix Model of Elementary Particles from the Topological 3D Geometry of the Truncated Cube – Part 8

This work presents a unified geometric and topological framework that derives the mass hierarchy and intergenerational mixing angles of elementary particles directly from the macroscopic 3D spatial geometry of the truncated cube. By applying spectral decomposition and helicoidal scaling across a 12-dimensional Hermitian matrix operator Aglobal, the system deterministically evaluates discrete energy levels and precise mass spectra achieving sub-tenth-of-a-percent agreement with CERN/PDG experimental data.