This study provides external validation of the Arithmetic Orbit Trajectory (AOT) Glycation Corrosion Index (GCI) framework using two large, independent, publicly available JAEB randomized controlled trial CGM datasets: Replace-BG (NCT02258373, n=216, 14. 8M CGM readings) and RT-CGM RCT (JDRF CGM Study, n=441, 16. 7M CGM readings). Total n=657, 31. 5M CGM readings. GCI = max (GMI - 5. 7, 0), where GMI is derived from mean CGM glucose. The AOT framework maps CGM integer values to GF (2⁸) multiplicative orders, identifying stable metabolic states (Z/15Z, 15 values) and algebraic transition points (Sylow-17 subgroup, 16 values, including 99 mg/dL). Key findings: (1) GCI vs HbA1c Pearson r=0. 771 (p=1. 8e-130), R2=0. 594, combined; (2) Universal formula: HbA1c = 5. 643 + 1. 054 x GCI (consistent across both datasets) ; (3) GCI outperforms TIR by Delta-r=+0. 042; (4) Sylow-17 ratio r=-0. 477 with HbA1c, validating algebraic interpretation; (5) Monotonic HbA1c increase across GCI quartiles (Q1: 6. 52% to Q4: 7. 97%). Data obtained from JAEB Center for Health Research public repository (public. jaeb. org). Analysis performed in Python 3 (pandas, scipy, scikit-learn). AOT framework: Zenodo DOI 10. 5281/zenodo. 20476973. GCI framework: Zenodo DOI 10. 5281/zenodo. 20476849.
Yao-Kai Kao (Sun,) studied this question.