Koku Universe v3.1: Numerical Verification Note — GPS 38 μs/day Derivation and IceCube-Gold Market Correlation Analysis

This verification note provides numerical evidence for the Koku Universe v3.1 model (DOI: 10.5281/zenodo.20534249). Part 1 derives the GPS satellite time correction of +38.4 μs/day from first principles using the Koku temporal pressure gradient model (∇τ(h) = GM/r²c²), achieving 0.26% agreement with the observed value. Part 2 analyzes 54 IceCube Gold/Silver alerts (2019–2025) against gold spot market responses. High-signalness events (≥0.7) show 2.69% average 7-day gold price change vs 1.47% for low-signalness events. High-energy events (≥300 TeV) show 2.38% vs 2.01% for low-energy events. These results are directionally consistent with Koku Universe v3.1 Prediction 2, which states that Genki excitation intensity correlates with market field perturbation magnitude.