Work

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

Year: 2026

Type: preprint

Abstract: 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.

Source: Zenodo (CERN European Organization for Nuclear Research)

DOI: 10.5281/zenodo.24052402

Author: Plass, Tomáš

Language: English

Topic: Advanced Mathematical Theories and Applications

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7225570738

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