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

Key Points

• The aim is to derive the hadronic mass spectrum using geometric approaches based on singular distributions.
• Develop a geometric derivation based on singular distributions.
• Explore the double layer distribution at the Gribov horizon.
• Calibrate findings using lattice QCD data.
• Predicted the ρ meson mass with 4.3% accuracy.
• Showed the double layer distribution acts as an isotropic scalar stiffness.