R-layer Mode Theory XXI: Quantum-Classical Continuum — Unified Information Structure Across Scales

Volume XXI of the R-layer Mode Theory (RLMT) series establishes the quantum foundations of the R-layer hierarchy by demonstrating that quantum, classical, gravitational, and informational structures form a single continuous continuum. As stated in the text, “the apparent quantum-classical divide arises from observational limitations and environmental decoherence rather than any intrinsic discontinuity in nature.” This volume unifies microscopic quantum fluctuations (AUP/MUP), classical appearance, macroscopic quantum phenomena, measurement, decoherence, and gravitational geometry through the informational structure of the R-layer tension-field. It argues that coherence persists at all scales, while classicality emerges from the dispersion and stabilization of information. Key contributions include: A demonstration that quantum coherence persists across all scales, limited only by information accessibility A reinterpretation of decoherence as information dispersion, not destruction A unified account of macroscopic quantum phenomena as stable informational modes A reformulation of measurement as information fixation through engineered entanglement A geometric interpretation of gravity as information density gradients within the tension-field A comprehensive framework identifying information as the fundamental substrate underlying quantum, classical, and gravitational physics Volume XXI provides the quantum foundation for the R-layer Mode Theory and prepares the ground for subsequent volumes extending the informational continuum to cosmology, emergent structure, and large-scale dynamics.