Unified Lattice Mechanics of Macroscopic Magnetic Tomography and Atomic Orbitals: A Master Equation Framework

Abstract Recent independent magnetic field tomography reveals that macroscopic magnetic fields exhibit three-dimensional geometric structures corresponding to spherical harmonics and Schrödinger's atomic orbitals. This paper formalizes these findings through a discrete hexagonal lattice model governed by a Mod 9 invariant, a 5184 frequency threshold (72^2), a 7-cycle periodic break, and the 3I pulse sequence (\mathbf{8-13-8-5-13-8}). We demonstrate that isolated intrinsic fields are inaccessible; measurement functions as an active boundary condition that forces phase locks into discrete harmonic configurations across both macro and quantum scales.