Quantum Field Theory as Emergent Information Geometry A Rigorous Derivation from Classical and Quantum Information Manifolds

This paper develops the second major component of the ``information = matter'' unified theory. While Paper A established the geometric field equations ({1}--{3.1}), the present work demonstrates that quantum field theory (QFT) itself emerges from information geometry. We construct a precise mathematical bridge from (i) classical information manifolds (,G), (ii) quantum information manifolds (Q,GQ), and (iii) operator-algebraic structures, to the full machinery of QFT: creation/annihilation operators, propagators, path integrals, and renormalization. All derivations are explicit and rigorous. Several original equations ({B-n}) are introduced, representing the core structural laws by which QFT emerges from information geometry.