The Replicating Universe. Geometric Origin of All Fermion Masses from Kaleidoscopic Vacuum Symmetry

This preprint proposes a discrete-geometry framework (“Replicating Universe / J36”) aiming to derive fermion mass ratios from combinatorial and topological invariants of the Johnson solid J36 (elongated triangular gyrobicupola). The manuscript develops a kaleidoscopic phase formalism with a fixed angle theta = 2/9, discusses links to Koide-type relations, and outlines extensions to quark and neutrino sectors. The deposit includes the PDF and the LaTeX source.DOI: 10.5281/zenodo.18289685Status: research preprint; comments and verification are welcome.