Cosmic Capacitor Mechanics: A Unified Framework for Electro-Gravitational Matter Precipitation and Planetary Stability

Abstract This paper presents a novel electro-mechanical framework that models celestial bodies as dynamic dielectric sinks within a high-potential non-local background field. By applying principles of circuit impedance and harmonic resonance, we derive a "Cosmic Capacitor" model that accounts for both the stable volumetric growth of planets and the catastrophic fragmentation of smaller bodies, such as Comet 3I/Atlas. Central to this model is the definition of a periodic attenuation factor (\Gamma_7), which acts as a circuit breaker, grounding excess parametric resonance into stable matter via a Mod 9 invariant lattice. We further unify classical gravitation with electrostatics by demonstrating that gravity is a secondary centripetal manifestation of a radially aligned dielectric displacement gradient, induced by proton-electron mass asymmetry. We validate this framework through a high-energy test simulation, confirming that planetary cores function as regulated matter-precipitation engines capable of maintaining long-term structural equilibrium through controlled proton accretion.