Molecular Harmonics: A Geometric Origin for Exotic Hadrons

The existence of exotic hadrons, such as pentaquarks and tetraquarks, challenges conventional particle classification. This work extends the harmonic principle (introduced in a companion paper, DOI: 10.5281/zenodo.16089214) to multi-particle systems. We model exotic hadrons not as new fundamental states, but as transient "molecular resonances" of known mesons and baryons. Using the foundational constants and oscillator equation established in that companion paper, we calculate an emergent binding energy term arising from harmonic stress. This allows for the prediction of the masses of known exotic states, such as the Pc(4450)+ pentaquark. Furthermore, the model makes a falsifiable prediction for a "bottom pentaquark" (Pb) near 10.15 GeV. This provides a coherent, geometric framework for the existence, mass, and decay channels of exotic matter, fitting seamlessly into the unified Quantum Action Theory (Monograph DOI: 10.5281/zenodo.16087528).