Interference Is Intelligence (Mechanism)

Fifth paper in the V=I series. Derives how efficiency grows in the verification loop. Each comparison has three axes: the binary result (identification bit), the structural feedback (what the agent learns about the domain), and the ordering (which comparison the agent runs next). The agent's sole degree of freedom is the third axis — the order of comparisons. The right ordering extracts more identification information per step; the wrong ordering wastes steps. The paper formalizes this as interference between comparisons, defines certificate complexity (the minimum comparisons needed for a given target), introduces information density as the ratio of identification bits to comparisons used, and proves a self-correction property: inefficient trajectories produce high structural feedback that accelerates future improvement. The mechanism is identical at every level of the tower defined in paper 3.