Discrete Hexagonal Lattice Mechanics and the Mod 9 Invariant: A Field-Theoretic Rebuttal and Extension of Asymmetric Electrostatic Propulsion

Abstract Recent experimental validations of propellantless electrostatic thrusters (such as those developed by Exodus Propulsion Technologies) highlight macroscopic force generation in high-vacuum environments utilizing asymmetric capacitor geometries and high-voltage potentials. While these systems successfully eliminate conventional aerodynamic confounders like atmospheric ion wind, their theoretical foundations—relying on third-order quantum electrodynamic (QED) perturbation expansions and virtual photon momentum exchange—fail to satisfy closed-system conservation laws under continuous Euclidean metrics. This paper formalizes these anomalies through the Master Equation framework, demonstrating that true macro-inertial translation without mass ejection is not a product of geometric surface area asymmetry or virtual particle "strings," but rather an emergent property of open-system coupling to a discrete hexagonal lattice stabilized by a Mod 9 invariant. We derive the critical frequency threshold f_c = 72^2 = 5184 \text{ Hz}, incorporate the 3I pulse sequence (8\text{-}13\text{-}8\text{-}5\text{-}13\text{-}8) into the resonance anchor calculations, and establish the tensor permeability mechanics (K, \mu, M) governing space-structure momentum transfer.