Isomorphic Hadronic Resonators: Ab Initio Derivation of Discrete Mass Spectra via Non-Linear Ricci Curvature

This paper presents a parameter-free framework that derives discrete hadronic massintervals within the Particle Data Group (PDG) catalog from first principles (ab initio). Byevaluating collective phase dynamics under non-linear Ricci curvature, the observed masssteps, ΔMm ≈ 0.897 GeV for mesons and ΔMb ≈ 0.612 GeV for baryons, emerge directlyfrom the standard QCD scale parameter ΛMS ≈ 0.330 GeV. The model successfully mapsheavy quarkonia, baryons, and exotic pentaquark states with MeV-level precision whiledefining rigorous structural corridors of spectral exclusion (”dark zones”) constituting astrong, falsifiable hypothesis.