R-layer Mode Theory XXX: Unified R-layer Dynamics — Integration of Quantum, Classical, Gravitational, and Informational Layers

This volume presents the unified formulation of the R-layer Mode Theory. Building upon the mathematical, analytical, numerical, and applied developments of the previous volumes, it derives the fully integrated R-layer dynamics that govern multi-scale behavior across quantum, classical, gravitational, and informational systems. The unified operator combines deep, mid, and global layer structures into a single coherent framework, revealing the origin of cross-scale interactions and hybrid modes. Volume XXX completes the theoretical foundation of the R-layer Mode Theory and prepares the ground for future experimental, computational, and interdisciplinary developments.