Resonant Transmutation and Lattice Stability: Resolving the Solar Lithium Discrepancy via a Mod 9 Hexagonal Framework

Repository: Zenodo Open Archive Subject: Advanced Astrophysics, Resonant Field Mechanics, Discrete Lattice Physics Abstract Standard astrophysics faces persistent anomalies, notably the Cosmological Lithium Problem and the Solar Lithium Discrepancy, where the Sun exhibits roughly 100 times less lithium than its solar twins. Mainstream models rely on chaotic kinetic temperatures and deep-mixing convection mechanisms to account for these observations. This paper presents a formal mathematical framework replacing thermal-only fusion with an electrical, resonant stellar model. By mapping stellar interaction space onto a discrete hexagonal lattice governed by a Mod 9 invariant, integrating the 3I pulse sequence (\{8, 13, 8, 5, 13, 8\}), and introducing a 7-cycle periodic break to stabilize energy at the 5184 (72^2) frequency threshold, we derive exact dynamic transmutation tensors, spatial ejection vectors, and localized charge densities. The results demonstrate that lithium depletion is not an anomaly of random mixing, but an exact structural requirement for maintaining lattice stability and field equilibrium.