R-layer Mode Theory RLMT) LVII: Quantum Information Dynamics

Volume LVII develops the theory of quantum information dynamics in R-layer Mode Theory (RLMT). Building on the quantum structures of Volumes LV and LVI—including the algebra AQ, Hilbert space HQ, tension operator E, modular Hamiltonian KQ, and spectral triple—the volume formulates: quantum information currents and continuity equations, effective propagation speeds and information lightcones, interference, mixing, and scrambling diagnostics, information geometry via Fisher metric and Connes distance, a unified quantum information dynamics equation combining modular, tension-induced, and categorical generators, cosmological applications including scaling of information density and holographic reconstruction. This volume completes the quantum information-theoretic sector of RLMT.