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.
А. В. Огородников (Tue,) studied this question.