R-layer Mode Theory (RLMT) XXIV: Quantum-Gravity Synthesis — Unified Informational Dynamics Across Quantum, Classical, and Gravitational Layers

Volume XXIV develops the quantum–gravity synthesis of the R-layer Mode Theory (RLMT) by demonstrating that quantum fluctuations, classical stability, and gravitational curvature arise from a single hierarchical flow of information within the tension-field. Building on the static informational continuum of Volume XXI, the dynamical foundations of Volume XXII, and the cosmological extension of Volume XXIII, this volume shows that quantum and gravitational phenomena are not fundamentally separate domains but complementary projections of the same informational hierarchy. The central results include: Quantum fluctuations as informational fine structure: Rapid, coherent fluctuations at the lowest layers generate the fine-scale structure underlying quantum behavior, uncertainty, and entanglement. Classical stability from hierarchical propagation: Classical trajectories and fields emerge from the upward propagation and stabilization of informational modes, providing an informational interpretation of the principle of least action and decoherence. Gravitational curvature from global informational gradients: Mass–energy corresponds to localized informational density, while curvature reflects global informational flow across the hierarchy, reproducing the macroscopic structure of general relativity. Quantum–gravity correspondence: Fine-scale fluctuations propagate upward to influence curvature, while global gradients propagate downward to constrain quantum evolution, revealing a unified informational origin for both regimes. The Planck layer as a transition zone: The Planck scale is interpreted not as a breakdown of theory but as a region of maximal coupling between layers, where quantum and gravitational behavior merge into a single informational continuum. Unified dynamics across all layers: Quantum, classical, and gravitational behavior arise from different resolutions of the same underlying informational structure. Volume XXIV completes the quantum–gravity synthesis within RLMT and prepares the ground for deeper structural analysis in subsequent volumes.