Electrodynamic Field Confinement and Asymmetric Thrust via a Mod 9 Stabilized Hexagonal Lattice and Ferroelectric Matrix

Repository: Zenodo Open Repository Abstract This paper presents a rigorous mathematical and structural framework integrating Thomas Townsend Brown's historical electrohydrodynamic (EHD) tri-arcuate propulsion concepts with modern solid-state ferroelectric materials. By structuring an engineered skin into a discrete hexagonal lattice governed by a \text{Mod } 9 invariant and a 7-cycle periodic break, we resolve the historical challenges of electrical leakage, thermal runaway, and mechanical instability. Furthermore, we establish the mathematical boundaries for dynamic permittivity modulation using the 3I pulse sequence (8\text{-}13\text{-}8\text{-}5\text{-}13\text{-}8) and incorporate polycrystalline Barium Titanate (\text{BaTiO}_3) matrices to sustain high-density resonance anchors across multi-atmospheric flight regimes.