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

Tsuyoshi Tohi

Published Jun 29, 2026• 0 citations

Abstract

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.

DOI: 10.5281/zenodo.21030349

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