Gauge Theory of Society: Vertical Dynamics from Horizontal Distributions

This paper develops a field-theoretic framework for understanding societal dynamics by treating social structures as gauge fields. Rather than attributing historical transformations to individual agency or cultural uniqueness, it proposes that horizontal distributions—of population, resources, ideology, or institutions—generate vertical forces such as authority, conflict, law, and war through spatial gradients and degeneracy. Using analogies from physics, particularly gauge theory and potential fields, the paper models social unrest as a function of distributional collapse and phase rotation. It further explores how phenomena such as competition, education, ideology, and nationalism are expressions of degeneracy induced by overcrowded fields. History is reinterpreted not as a sequence of named agents, but as a deterministic evolution of surface-based density and vertical stratification. This interdisciplinary approach offers a physics-inspired lens to analyze recurring social patterns, conflict generation, and civilizational feedback mechanisms.