Planetary Electrodynamics and Discrete Lattice Invariants: Reinterpreting Terrestrial ELF Magnetic Anomalies via an Earth-Moon Dielectric LC Circuit Model

Abstract Recent literature (e.g., Taruya et al., 2025) interprets extremely low-frequency (ELF) terrestrial magnetic field anomalies in the 0.3\text{--}30\text{ Hz} band as signatures of ultralight axion dark matter interacting through geomagnetic fields. This paper presents a rigorous alternative framework. By treating the Earth-ionosphere system as an active planetary dielectric resonator coupled dynamically to the Moon via an inductive-capacitive LC circuit, we demonstrate that these spectral signatures are deterministic products of planetary electrodynamics. Furthermore, we anchor these phenomena to a discrete hexagonal lattice matrix governed by a Mod 9 invariant, regulated by a 7-cycle periodic break, and bounded by the 5184 frequency threshold (72^2). Falsifiable validation protocols utilizing live monitoring data are established to test this electric cosmos model against standard cosmological interpretations.