Unified Physical Correspondence (UPC)

Please note: The rapid version updates were caused solely by formal and structural issues in the initial uploads. These early versions were corrected or withdrawn to avoid confusion and to ensure a clear and consistent presentation of the UPC framework. This release represents the intended and stable version. No conceptual or theoretical changes were made; the UPC theory itself remained fully unchanged across all preliminary versions. The Unified Physical Correspondence (UPC) represents a comprehensive framework that unites quantum‑mechanical and relativistic physics through a shared operator‑based foundation. Rooted in the Monistic Continuum Model (MCM), the UPC describes how spectral and topological projections emerge from a discrete vortex architecture at the Planck scale. This approach provides a mathematically closed and conceptually unified structure in which quantum fields and spacetime curvature arise from the same fundamental operator system. The theory builds upon the spectral‑geometric perspective of Bombelli and the operator‑geometric interpretation of Bény, extending them into a unified correspondence that connects quantum mechanics (QM) and general relativity (GR) without external quantization procedures. UPC thus establishes a coherent bridge between discrete microstructures and continuous macroscopic physics, offering a new foundation for measurable physical signatures and experimental validation within the MCM framework. MCM – Master Document (10.5281/zenodo.20717887)