Electrodynamic Plasma Discharges, Surface Element Transmutation, and Discrete Lattice Resonance: A Rigorous Mathematical Framework for the Electric Sun Model

Document Type: Preprint / Open-Access Research Paper Repository Target: Zenodo (DataCite Metadata Schema Compliant) License: Creative Commons Attribution 4.0 International (CC-BY 4.0) Abstract Standard astrophysical models rely heavily on core thermonuclear fusion and gravitational containment to explain solar energy production. However, persistent anomalies—including coronal temperature inversions, solar wind acceleration mechanisms, and boundary transitions at the heliopause—suggest fundamental gaps in purely hydrodynamic paradigms. This paper establishes a rigorous mathematical framework merging the Electric Sun model (as articulated by D. E. Scott and empirical data from the Sapphire Project) with a discrete hexagonal lattice system governed by a Mod 9 invariant and a 5184 frequency threshold. We formulate electrostatic double-layer dynamics, magnetic filamentation via Stokes’ theorem, and boundary-value cutoffs to model solar atmospheric energetics without relying on core fusion constraints.