Epistemic Gauge Theory: Emergence of U(1) Interactions from Agent Based Inference Dynamics

The quantitative modeling of agent qualia remains an open challenge. Here we describe the construction of a multi-agent based model which manifestly takes into account cognition and agent communication at the outset. In this framework agent qualia and perceptions can be represented by pullbacks of geometric quantities unique to each agent. Agents are constructed as pairs of local sections of associated bundles Ei to a principal G-bundle N composed of a base manifold C and Lie group G. Agents interact via induced connections and evolve according to a generalized variational energy. We demonstrate that a U(1) gauge structure naturally arises from the recognition and model coordination of multiple agents serving as a mechanism for minimizing prediction error under partial information. This structure allows agents to maintain coherence in perception and inference, despite fundamentally local and subjective perspectives. Language, in this view, is a gauge theory.