Hadronic Spectroscopy from the Geometry of Singular Distributions: A First-Principles Calculation of the Mass Gap

We present a geometric derivation of the hadronic mass spectrum based on the theory of Singular Distributions on Tubular Neighborhoods. We demonstrate that the "Double Layer" distribution, which arises at the Gribov Horizon, acts as an isotropic scalar stiffness. Calibrating with Lattice QCD data, we predict the $\rho$ meson mass within 4.3% accuracy.