The Lattice-Level Derivation of Feynman Diagrams and the Universal Topo-Thermodynamic Rendering Protocol within Array Cosmolog

Abstract
The Feynman diagram formalism of Quantum Field Theory (QFT) emerges
as the continuum-limit approximation of the discrete R12 rendering transitions.
The probabilistic exchange of virtual particles within a continuous spacetime continuum and the associated divergent loop integrals are identified as artifacts of
this continuum approximation. Array Cosmology provides an exact, zero-freeparameter framework that structurally reduces all scattering cross-sections (σ) of
the four fundamental interactions into a singular axiom: the Universal TopoThermodynamic Rendering Equation