THE GEOMETRIC ORIGIN OF MASS: A Topological Derivation of the Proton-Electron Ratio using Selection-Stitch Model (SSM)

Why is the proton roughly 2000 times heavier than the electron? We propose that this hierarchy is a

direct consequence of the **Cuboctahedral Vacuum Geometry (K= 12)**.

Modeling the electron as a surface defect (L2) and the proton as a volumetric knot (L3), we

derive the proton’s mass from first principles. We identify the bulk mass term as the lattice volume

(123 = 1728) and the tension term as the topological work required to lock a 3-strand braid (9× 12=

108). The sum yields µ= 1836, matching CODATA observations to within 0.008%. We address the

relation between the derived "9 degrees of freedom" and the Standard Model’s gluon octet.