Learning Coherence: A Practical Introduction to Detectability and Scientific Thinking (Educational Layer) (v1.1)

This document defines a minimal structural framework ensuring mathematical coherence between observable quantities and decision variables within the COS45 framework. It belongs to the STRUCTURAL layer and acts as a bridge between observable proxies and admissibility conditions. No decision rule is defined.No inference claim is made. The framework formalizes consistency constraints linking observable quantities (e.g., spectral gap, curvature proxies) to δ (observable structure), while explicitly accounting for uncertainty τ. These relations are necessary but not sufficient for admissibility. They ensure that any transition from observable data to decision variables remains mathematically coherent and traceable.…