The Mass Concept in the Layer Theory of Spacetime, Part III: Quantitative heavy-quarkonium spectroscopy from a geometric response model

This work develops the quantitative hadronic-sector component of the massconcept within the Layer Theory of Spacetime (LTS) by confronting heavyquarkoniumspectroscopy with precision data. Building on Parts I–II, wherefermion masses and neutrino properties are linked to geometry in an operationallayer coordinate z, we formulate a minimal, falsifiable framework for charmoniumand bottomonium. The baseline dynamics are treated at leading orderusing a screened Cornell potential as an effective four-dimensional descriptionin the heavy-quark regime. The LTS-specific ingredient is a geometric responsefactor that modulates chromomagnetic contributions through (i) a displacementmediatedresponse channel and (ii) an odd/gradient projection of the delocalizedgauge profile. The combined mechanism yields a saturating two-stage high-passresponse in a state-dependent inverse-size proxy ω ≡ ℏc ⟨1/r⟩, enabling a jointdescription of hyperfine suppression across radial excitations while preserving Pwavehyperfine null tests. We provide a transparent separation between anchors,derived quantities, and out-of-sample predictions, including quantitative targetsfor ηc(nS) and ηb(nS) masses and additional fine-structure cross-tests.