We establish a correspondence between the cognitive transistor formalism and Stone duality. A witness—comprising feature extractor, evidence space, valuation, latch, and output—partitions state space into distinguishable regions. The evidence space taxonomy is unbounded: scalar, vector, tensor, algebraic, topological, cohomological, distributional, functional, and arbitrary combinations. Any witness array induces a Boolean algebra of decidable distinctions; by Stone duality, this corresponds to a compact totally disconnected Hausdorff space whose points are maximal consistent epistemic states. The inverse limit of successive refinements yields the Stone space of the system’s full observability structure. We develop the formalism in detail, prove the core theorems, provide worked examples from electrical engineering and mathematics, and clarify that “Logic is Geometry” is a technical claim grounded in Stone’s 1936 theorem, not a metaphor. The formalism encompasses all of electrical engineering as the physically realizable subset of the infinite witness family, and provides a unified framework for understanding epistemic computation across domains.

© 2026 Jacob Alexander Elliott.