We propose a non-perturbative quantum gravity framework using quantum vortices (statistical average topological structures of microscopic particles) embedded in AdS/CFT holographic duality, resolving black hole singularities without renormalization. Thus, this constitutes a singularity-resolution mechanism grounded in physical processes rather than mathematical techniques. The quantum vortex field generates a repulsive potential within the critical radius r∗ ≈ 8.792 × 10−11m, dynamically preventing matter from reaching r = 0 and avoiding curvature divergence. The derived Huang metric (Schwarzschild metric with quantum corrections) enables parameter-free prediction of black hole shadow angular diameters, without post-observation fitting of Kerr black hole spin. Observational verification shows: the theoretical shadow of Sgr A* is 53.3 μas (EHT: 51.8 ± 2.3 μas), and that of M87* is 46.2 μas (EHT: 42 ± 3 μas), resolving contradictions of the Kerr model. This framework unifies singularity elimination, information conservation, and shadow prediction, providing a testable quantum gravity paradigm.