Hydrodynamic Synthesis of Mass Divergence: A Deterministic Lattice-Stabilized Framework

Abstract This paper presents a novel hydrodynamic model of mass in which the Equivalence Principle (EP) is reclassified as a low-energy, statistical approximation. We propose that the vacuum functions as a discrete hexagonal lattice, where mass manifestations arise from localized vortex-field interactions rather than intrinsic scalar properties. By integrating a Mod 9 invariant to provide topological stabilization and utilizing a 7-cycle periodic break, we define the mechanism by which the system prevents thermal runaway at the 5184 frequency threshold. We derive a deterministic interaction logic through the P_{3I} (8-13-8-5-13-8) pulse sequence, which acts as a regulatory anchor, modulating the displacement current and maintaining structural integrity under high-energy conditions. Through dimensional reformulation, we identify inertial mass (m_i) as localized kinetic energy density and gravitational mass (m_g) as a pressure-driven thermo-diffusive flux. Experimental simulations confirm that this system effectively shunts external variance (\delta) via a dynamic critical coupling coefficient (k_c), demonstrating that physical stability is a consequence of geometric design rather than stochastic emergence. This framework provides a rigorous basis for reconciling field dynamics with structural matter, offering a complete mathematical solution for the Master Equation.