The Hierarchical Embedding Relation between GDUM and NCG

From the perspective of GDUM’s ontologically stratified framework, the mathematical relation between GDUM and NCG (noncommutative geometry) is not one of equal equivalence, but a hierarchical embedding relation involving coarse-grained projection: at the underlying level, GDUM generates a broader pre-geometric topological-dynamical space, whereas the spectral-triple structure of NCG is an effective algebraic representation extracted by the readout functor within a specific readout window. The readout functor is the core mapping connecting the two systems, denoted by