📄️ 13.1 - Convergence
We now ask a critical mathematical question: how does a discrete, relational graph of finite size converge to a smooth, continuous Riemannian manifold in the thermodynamic limit? The previous chapters derived the discrete curvature and field equations, but physical gravity operates on a continuous stage. We must prove that taking the Gromov-Hausdorff-Wasserstein limit of our sequence of graphs reconstructs the smooth kinematics of General Relativity, showing that the discrete relations transition to the continuous fields of classical physics.
📄️ 13.2 - Coarse-Graining
13.2 Tensorial Reorganization {#13.2}
📄️ 13.3 - Geometry
13.3 Causal Geometry {#13.3}
📄️ 13.4 - Synthesis
13.4 Formal Synthesis {#13.4}