Bias-Assisted Gravitoelectric Transduction in High-K Dielectric Lattices: A Mathematical Framework for Volumetric Energy Extraction

Repository: Zenodo Open Archive Date: August 2026 Abstract This paper formalizes the theoretical mechanics and circuit topologies of bias-assisted gravitoelectric transduction, synthesizing historical notes from Thomas Townsend Brown's 1975–1977 Honolulu notebooks into a rigorous mathematical framework. We examine the transition from passive differential bridges to active high-voltage electrostatic biasing within high-permittivity (high-K) dielectric lattices. By integrating a discrete hexagonal lattice model stabilized by a \text{Mod } 9 invariant and a synchronized 3I pulse sequence (8\text{-}13\text{-}8\text{-}5\text{-}13\text{-}8), we demonstrate how volumetric electron-hole pair generation can overcome internal ohmic leakage boundaries without inducing thermal runaway past the 5184\text{ Hz} (72^2) frequency threshold.