On the Arrow of Inference

Abstract: Just as the arrow of time structures physics, the arrow of inference organizes cognition, directing the flow of information in perception, action, and memory. The Context-Content Uncertainty Principle (CCUP) formalizes this asymmetry, between high-entropy context and low-entropy content, and frames inference as a cycle that aligns the two through selective, bidirectional interaction. Cycle formation resolves the Information Bottleneck (IB) in Optimal Transport (OT) by coordinating bottom-up contextual disambiguation with top-down content reconstruction, a process neurobiologically mirrored in the cyclical interplay between dorsal (context) and ventral (content) streams. Local inference cycles extend into memory chains that simulate goals, support counterfactual reasoning, and scaffold internal model refinement across time. By operating on delta-seeded goal manifolds, each level of the hierarchy circumvents the curse of dimensionality through structured diffusion guided by priors and context. This mechanism generalizes across timescales, from perception-action loops to the sleep-wake cycle-and scales socially through language, which externalizes inference by transmitting latent content across minds. Thus, CCUP provides a unifying framework for understanding cognition as cycle-consistent inference, anchoring both individual thought and collective intelligence.