DAGI–ESG Validation: MI Metric, GRR Time Dilation on ibm fez, and Einstein-Surrogate Closure in a 10k-Node Simulation

Context: This manuscript serves as the primary computational and experimental validation report for the Emergent Spacetime Geometry (ESG) track of the DAGI research program at Whytics. It provides the empirical scaffolding for the theoretical ESG dictionary. Abstract: We report Phase 1–7 results from the DAGI emergent-spacetime-geometry (ESG) program, whose core "dictionary" maps information-theoretic primitives in a directed acyclic graph (DAG) of records into an effective Lorentzian metric and curvature. The validation is split across (i) hardware measurement of the required primitives on IBM superconducting hardware (ibm_fez, Heron r2) and (ii) a large classical graph simulation (10,000 nodes; 20×20×25 grid; 28,600 edges) parameterized directly by those measured primitives. Empirically, we find: (1) a stable mutual-information (MI) overlap distribution enabling an MI-defined distance that is metrically well-behaved (triangle inequality violations at the