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The Hierarchical Embedding Relation between GDUM and NCG

Year: 2026

Type: article

Abstract: 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

Source: Zenodo (CERN European Organization for Nuclear Research)

DOI: 10.5281/zenodo.24046805

Author: Chenghua, Gao

Language: English

Topic: Advanced Operator Algebra Research

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7225572770

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