Chapter 15: Language as Readout Functor

Language projects archetypes from the internal presheaf topos to communicable form. Different languages and cultures provide different readout functors—the underlying j-closed invariant is shared. Cross-cultural recurrence of archetypal motifs is explained: shared kernel + different readouts = convergent motifs. The Readout Functor Faithfulness Theorem proves that a readout functor is faithful if and only if it preserves the j-closure structure. This is the capstone chapter of Part I, synthesizing registers, sectors, archetypes, and language into a unified apparatus.