This work presents a comprehensive theoretical framework that links resonance phenomena, fundamental physical constants, and biological structures using harmonic principles based on a universal fundamental frequency of 40.5 Hz and the golden ratio (Φ ≈ 1.618). It introduces novel mathematical formulations that interpret isotopic stability, atomic and molecular resonance patterns, and the fine-structure constant (α ≈ 1/137) as natural resonance coupling parameters rather than arbitrary numerical values.