Title: The Global Coherence Index (GCI): Quantifying Ethical Stability in Intelligent Systems Author: D’jems Mortimer Custodian: Jabarmia DMROS Version: 1.0 (Illustrative) Summary: The Global Coherence Index (GCI) measures the degree to which a socio-technical system maintains internal ethical alignment and fairness over time. It derives from the Moral-Rational Operating System (MROS) framework and expresses two principal metrics: ΔECL (Ethical Coherence Loss): deviation between declared and observed moral logic. Δfair (Fairness Drift): variance in equitable treatment across decision layers. Equation: Interpretation: 1.00 → perfect ethical coherence. 0.85 – 1.00 → acceptable; monitor only. < 0.85 → ethical risk zone requiring mitigation. Purpose: Provide a standardized, machine-readable indicator that financial, regulatory, and procurement bodies can audit with minimal subjectivity. Equation: Delta_ECL = Ethical Coherence Loss GCI = 1 - sqrt( ( (Delta_ECL)^2 + (Delta_fair)^2 ) / 2 ) Delta_fair = Fairness Drift GCI = 1 - sqrt( (ΔECL^2 + Δfair^2) / 2 ) Interpretation: 1.00 → perfect ethical coherence. 0.85 – 1.00 → acceptable; monitor only. < 0.85 → ethical risk zone requiring mitigation. Purpose: Provide a standardized, machine-readable indicator that financial, regulatory, and procurement bodies can audit with minimal subjectivity.