Currency is a technology for remotely modulating excitability topologies across agents whose internal states are opaque. Price signals compress this hidden structure into transferable scalars. We formalize excitability topology over interaction graphs, define currency as a modulation operator, and prove that under topological legibility the mutual information between price and excitability vanishes — with a continuous bound for partial legibility. The framework maps onto the Disentangle protocol's Jaccard-based Ollivier-Ricci curvature, where the curvature derivative serves as a dopaminergic market signal: agents following it for ROI and agents following it for coherence produce identical graph dynamics, making the transition from price-mediated to topology-mediated coordination structurally gradual and ideology-independent.
Larsen James Close (Thu,) studied this question.