Consilience Note: Resonant Spectra of Proton Excitations

Experimental measurements of baryon resonances reveal a spectrum of discrete excited states associated with the proton and other nucleons. These states, commonly labeled N* resonances, appear as peaks in scattering cross sections when nucleons are excited during particle-collision experiments. Within the standard framework of quantum chromodynamics, these resonances are interpreted as excited configurations of quark–gluon dynamics inside the nucleon. Independent of the specific theoretical interpretation, however, the experimental observations demonstrate that the proton supports a quantized excitation spectrum. This note highlights the compatibility of these resonance spectra with harmonic structural interpretations in which particle states correspond to admissible standing excitation modes within a constrained structural container.Part of the Harmonic Physics Consilience Notes series.