Conceptual

Ricci-Flow Geometric Modeling of Economic Inequality Dynamics

A study of economic inequality in Georgia that regresses the Gini coefficient on 16 socio-economic parameters and frames the dynamics through Grigori Perelman's Ricci-flow entropy formalism borrowed from differential geometry: technological progress and policy are treated as a geometric flow that smooths the 'curvature' (inequality) of the economic system over time. The estimation reports high R-squared (80-90%) and significant Z-statistics, and identifies technological innovation, social-protection programs, education quality and R&D investment as the strongest inequality-reducing levers. It illustrates the still-experimental transfer of a deep geometric-analysis tool into applied econometrics.