Jackson's Equation for Harmonic Resonance: A Golden Ratio-Based Reformulation of Planck-Scale Quantization

Jackson’s Equation introduces a new quantum scaling constant defined as > \phi_q = h \cdot \phi^2 > where h is Planck’s constant and \phi is the golden ratio. This yields a modified quantization law: > E = \phi_q \cdot \omega > which preserves unit coherence while embedding harmonic, self-similar scaling into the energy-frequency relationship. The equation predicts a geometric progression of resonant modes—contrasting with the linear progression implied by traditional Planck energy quantization. Theoretical implications include a φ-rescaled ladder of physical units (“Jackson units”), refined spectral modeling, and reinterpretation of vacuum energy structure.