Establishing a quantum gravity theory compatible with General Relativity and the Standard Model is the core goal of modern physics. As the comprehensive overview of the "Connectivity Geometric Unified Field Theory" series, this paper systematically reviews the discrete quantum network grand unification framework based on pure geometric decoupling. This theory abandons the traditional presupposition of continuous spacetime, defining the universe's fundamental ontology as a discrete spin-connected network governed by the long-range hopping step k. We demonstrate that macroscopic smooth spacetime, gauge fields, the matter spectrum, and even the Grand Unified Energy Scale are all statistical emergences of the underlying network's geometric decoupling and topological breaking in the long-wavelength limit. The core breakthrough is that this framework not only perfectly reconstructs the asymptotic freedom of lattice QCD through high-precision numerical fitting of c = k^2/12, but also rigorously proves the topological necessity of three-generation fermions through the Z_3 homology group and global anomaly cancellation, and provides the geometric convergence mechanism of the Grand Unified Energy Scale E_GUT ~ 10^16 GeV in a non-supersymmetric framework. Based on this fundamental physical picture, this paper unveils the "Future Exploration Map" of connectivity geometry, pointing out six core directions and executable engineering paths for successors in theoretical physics, quantum simulation, topological engineering, life sciences, and interstellar navigation.
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Wenjun Luo (2026) studied this question.
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