Operational Manual Correlational Ontology

This document provides a complete operational manual for applying the correlational framework developed in Volumes I–III. It presents a canonical, step-by-step pipeline for constructing models, performing spectral analysis, identifying effective physical regimes, and extracting observable quantities. The manual clarifies best practices, common category errors, and known failure modes of the framework. No new foundational assumptions are introduced. Instead, the focus is on disciplined use, consistency of interpretation, and clear separation between ontology, formal structure, and phenomenological realization. The manual is intended as a practical reference for researchers seeking to apply the framework to toy models, numerical studies, or concrete physical systems.