R-layer Mode Theory (RLMT) LIX: Quantum Information Geometry on the R-layer

olume LIX develops the quantum information geometry of the R-layer, completing the information-theoretic foundation of RLMT. Starting from families of R-layer quantum states PR(θ), the volume constructs the information manifold MR, introduces the quantum Fisher information metric via symmetric logarithmic derivatives, and analyzes monotonicity under R-layer channels. Curvature structures are related to hierarchical entropy, and applications are presented for neutrino oscillations, cosmological parameter spaces, and gravitational/holographic systems. This volume integrates geometry, information, and hierarchy into a unified RLMT framework.