Harmonic Resonance Unification Beyond Standard Model

This paper explores an alternative explanation for hadronic behavior without invoking quarks, utilizing harmonic resonance principles. Particle masses are defined using the Circle of Fifths, leading to fundamental relationships based on harmonic phase shifts. A general mass-frequency ratio formula is derived, and a phase shift correction is introduced to refine mass calculations. Correlation analysis reveals an inverse relationship between mass and harmonic deviation, with heavier particles exhibiting stronger resonance alignment. Additionally, charge-phase correlations and force relationships suggest resonance influences fundamental interactions beyond mass alone. These results provide a novel perspective on particle mass generation, potentially extending beyond the Standard Model.