Fractaile Magnetodynamics identifies φ-series quantization in near-Earth magnetic oscillations.

“This document constitutes the doctoral-level research thesis of independent researcher Michael Nowlin, publicly released via Zenodo.” Fractaile Magnetodynamics explores φ-series quantization in near-Earth magnetic oscillations, revealing harmonic resonance band (HRB) relationships between orbital angular momentum (Hp) and ground ΔH data. Derived from the Alfvén wave equation and the φ-Scaling Law, the framework predicts discrete frequency ratios fₙ₊₁ / fₙ ≈ 1/φ across solar-propagation datasets. Empirical validation confirms consistent φ-series spacing within satellite and ground magnetometer archives. The study unites magnetospheric cavity dynamics, resonant energy transfer, and solar-terrestrial coupling under a single harmonic formalism—providing predictive insight into space-weather modulation, magnetotunnelling phenomena, and field-driven coherence in planetary systems.