Deriving the Dirac Equation from Wormhole-Plexus Dynamics in Quantized Spacetime Foam

We derive the Dirac equation as an emergent property of the Foam-Plexus model, in which spacetime is a quantized lattice of discrete quanta connected by dynamic wormholes. Fermions arise as stable tetrahedral (leptons) or pentahedral (quarks) loop structures, whose perimeter fluxes encode angular momentum interpreted as electric charge. Starting from sta- tistical dynamics of wormhole formation and annihilation, we construct a continuity equa- tion for plexus density and a corresponding Lagrangian for amplitude and phase variables. Coarse-graining over wormhole configurations yields an effective relativistic wave equation with spinor structure, naturally reproducing the Dirac equation. This approach frames QFT fermionic fields as emergent from discrete, topological spacetime dynamics, providing a geometric interpretation of mass, charge, and spin.