CONCEPT
The Faraday-Maxwell Gap
The structural interval between a working demonstration and the formalism that explains it—the distance Faraday covered with a field picture that Maxwell had to close with equations, and the distance the AI field has yet to close about its own systems.
Faraday could make a magnet induce a current, visualize the space around it as threaded with
lines of force, and stake his career on the field concept—all without being able to write down a single equation that justified any of it.
James Clerk Maxwell arrived a generation later and provided the equations, and the equations revealed that light itself was a wave in Faraday’s field, a prediction the picture alone could never have made. The interval between Faraday’s demonstration and Maxwell’s formalism—roughly two decades in which the phenomenon was real and the theory was absent—is what we call the Faraday-Maxwell Gap. It is not merely a historical curiosity; it is the diagnostic structure of every field that has empirical success before theoretical understanding, and it maps with disturbing precision onto the present situation in
large language models and
neural networks. The AI field has Faraday’s demonstrations in abundance and Maxwell’s equations almost