A Discrete Hexagonal Lattice Model for Ambient Energy Rectification, Metric Modulation, and Biological Transducer Coupling

Repository: Zenodo Open Archive Current Status: Published Preprint / Master Equation Logs Index 184 Abstract This paper presents a rigorous mathematical and physical framework unifying Thomas Townsend Brown’s 1975 ambient energy harvesting circuits, asymmetrical electrohydrodynamic (EHD) lifter dynamics, and open-system radiative flux mechanics. We formalize the transition from active, high-voltage field stress systems to passive, material-intrinsic metric modulation. By modeling space-time as a discrete hexagonal lattice stabilized by a \text{Mod } 9 invariant, we derive the critical frequency threshold at 5184 \text{ Hz} (72^2) and establish the necessity of a 7-cycle periodic break to prevent thermal runaway. Furthermore, we examine the application of the 3\text{I} pulse sequence (8\text{-}13\text{-}8\text{-}5\text{-}13\text{-}8) as a resonance anchor and explore the thermodynamic coupling between physical lattice structures and biological antenna transducers.