Unified Physical Correspondence (UPC)

The Unified Physical Correspondence (UPC) represents the current advancement of the Monistic Continuum Model (MCM) and describes the operator‑based projection of the discrete vortex basis onto the physical limiting regimes of Quantum Mechanics (QM) and General Relativity (GR). The theory demonstrates that both continuous descriptions emerge from the same discrete state spaces and the same operator basis. The UPC formulates this correspondence for the first time in a fully functorial and mathematically closed manner, providing a unified structure for spectral, topological, and dynamical phenomena. This document constitutes the reference version of the UPC and serves as the foundation for further work within the MCM series. It covers the formal structure of the vortex basis, the operator algebra, the spectral and topological projections, and the resulting physical signatures. The VPC shows how the familiar continuous theories emerge from a single discrete architecture and thereby provides a consistent framework for a unified physical description. MCM – Master Document (10.5281/zenodo.22128163)