Derivation of the Static Metric and Null Geodesics from the Yazdani-Markov-Wolfram Axiom

This document provides a rigorous, step-by-step derivation of the static, spherically symmetric spacetime metric, g_μν (r), from the foundational principles outlined in the theory of a computational universe.  We also derive the equations for null geodesics within this spacetime to calculate the angle of gravitational light bending, demonstrating that the theory reproduces a key prediction of General Relativity in the weak-field limit.