AbstractFractal Cosmology proposes that the Universe is organized through a hierarchy of discrete S-levels—1, 3, 10, 30, 100—that govern structure formation across all scales. Instead of continuous evolution, space, matter and geometry transition through fractal stability platforms defined by the flow coefficient S. Galaxies, clusters, voids, cosmic filaments and subatomic structures emerge as different manifestations of the same fractal flow dynamics. Large-scale cosmic patterns—spirals, branches, rings, webs—arise from universal flow attractors that also appear in planetary systems, biological networks and atmospheric vortices. The model predicts that cosmic expansion, clustering, dark-matter behavior and energy distribution follow S-quantized phases rather than smooth gradients. Fractal Cosmology unifies micro- and macro-physics by showing that the same geometric and energetic rules govern proton structure (S≈3), galactic spirals (S≈10), cosmic web branches (S≈30) and supercluster networks (S≈100). This framework replaces continuous cosmological models with a discrete fractal architecture driven by flow dynamics.