Geometric Origin of Hadron Masses: Spectral Analysis of the Graph

This work presents a discrete model of spacetime based on the symmetry of the icosahedron — a regular polyhedron with 12 vertices and 20 faces. From this model, a universal formula for the masses of elementary particles is derived. The formula contains a single fundamental constant: β = (π - 3)/(4π) ≈ 0.01127 which arises purely from the geometry of the icosahedron. Using known experimental data for the Υ(1S)–Υ(5S) particles (bound states of a bottom quark and its antiparticle), the parameters of the formula are determined. Extrapolating to the next state, Υ(6S), yields a concrete prediction: M_Υ(6S) = 11018 ± 8 MeV This prediction can be tested at the Belle II experiment in 2026–2027. If confirmed, it would be the first experimental evidence for a discrete structure of spacetime and the geometric origin of fundamental constants.