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 (ibmfez, 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 <0. 3% numerical floor), with global median MI 0. 552 (95% CI 0. 524, 0. 589) ; (2) a strong generalized-record-rate (GRR) clock-dilation effect on ibmfez, where irreversible record creation produces monotone slowdown (e. g. D 0. 126 at record-rate r=1. 0) while an eraser control returns to baseline (D 1. 011 at r=0. 9) ; (3) in the 10k-node simulation, "mass insertion" (our matter proxy) is implemented as a localized perturbation of the measured primitives—a k=4 HOIC density offset (M1) and/or a GRR increment r (M2) applied within a radius-R ball—which induces localized curvature and time-dilation fields with high-significance inner/outer separation (time-dilation z 110. 7; curvature z 46. 1) ; (4) an Einstein-equation surrogate suite consistent with weak-field closure: median Poisson relative RMSE 0. 0029 (95% CI 0. 0028, 0. 0029), outside-residual ratio 0. 0075, and Bianchi (scale=1) 0. 231 (95% CI 0. 227, 0. 231), with stable fitted couplings 1. 069542 and -1. 069949. These results are analog validations: they support internal consistency of the DAGI–ESG dictionary and its quantitative predictions in a controlled graph+hardware pipeline, but do not constitute a direct laboratory measurement of gravitation. Key Highlights: Hardware-to-Macroscopic Pipeline: Directly parameterizes a 10, 000-node classical graph simulation using quantum informational primitives extracted from IBM superconducting processors. Einstein-Surrogate Closure: Demonstrates that the proposed informational definitions of time dilation and curvature quantitatively satisfy weak-field Poisson and Bianchi-like constraints with exceptionally low residual errors (0. 3\%). Area Law Locality Test: Confirms that the entropy-area scaling required for Jacobson's thermodynamic gravity holds locally but degrades predictably under the introduction of nonlocal graph edges. Interactive Digital Twin: Includes the architecture for an open-access "Embedding-Defect Explorer" web application allowing researchers to interactively visualize the hardware-calibrated g₀₀ time-dilation fields and Regge-style curvature defects.