Harmonic Stability and Capacitive Discharge in Planetary Systems: Bridging Cauchy's 1829 Memoir with Electric Universe Lattice Dynamics

Abstract This paper investigates the long-term stability of planetary and minor body systems by synthesizing Augustin-Louis Cauchy’s 1829 foundational work on symmetric matrix eigenvalues with an electric universe lattice framework. Moving beyond traditional Newtonian point-mass gravity and thermal sublimation models, we model the solar system as a discrete hexagonal lattice governed by a Mod 9 invariant, a 5184 frequency threshold, and a 7-cycle periodic break. Within this architecture, planetary interactions and transient cometary outbursts are re-analyzed as capacitance-driven dielectric breakdowns and nodal stress releases rather than stochastic anomalies. Furthermore, we incorporate the recursive 3I pulse sequence (\{8, 13, 8, 5, 13, 8\}) as a resonance anchor that phase-locks structural adjustments, ensuring that local instabilities remain bounded and preserve global system order.