The Geometric Origin of Mass Hierarchies: An Integer Derivation of the Proton-Electron Ratio (µ) via Lattice Topology of Selection-Stitching Model (SSM)

In the Standard Model of particle physics, the mass ratio between the proton and the

electron (µ≈ 1836.15) is an empirical constant arising from the arbitrary coupling strengths

of the Higgs field. It has no fundamental theoretical derivation. This paper proposes a

solution using the Selection-Stitch Model (SSM) [1], which defines mass as “Topological

Impedance” within a vacuum lattice of coordination number K = 12. We demonstrate

that the proton mass emerges as the sum of Volumetric Displacement (K3) and Braid

Tension (9K), yielding a theoretical integer value of 1836. This geometric prediction aligns

with CODATA measurements to within 0.008%.