Discrete Hexagonal Lattice Dynamics and Capacitive Discharge in Jupiter-Family Comets: A Comparative Analysis of Comet 220P/McNaught's 2026 Outbursts

Abstract Cometary outbursts are traditionally modeled through thermodynamic sublimation and porous-media gas venting. This paper presents an alternative mathematical framework by modeling cometary nuclei as distributed capacitive networks governed by a discrete hexagonal lattice structure. Analyzing the dual 2026 outbursts of Jupiter-family comet 220P/McNaught, we evaluate energy accumulation, dielectric breakdown thresholds, and spectroscopic fluorescence via the master equation framework, incorporating the Mod 9 invariant operator and the 8-13-8-5-13-8 (3I) pulse sequence.