We outline an unconventional framework for cosmic structure formation in which the underlying Dark Matter (DM) distribution is modeled as a multifractal Cantor Dust (CD). In this scenario, the fractal geometry of CD generates scale-dependent gravitational potentials that seed the collapse of baryonic matter without requiring primordial gravitational fields or particle-like DM clumps. DM resides on a multifractal support with Hausdorff dimension D<3, a gravitational scaffolding which traps baryons into filaments, walls, and voids. Cooling baryonic gas undergoes hierarchical collapse, producing structures from the proto-galactic to stellar scale. This approach can potentially explain the emergence of Newtonian-like galaxies in the interiors of fractal potentials while resolving conceptual issues inherent in standard cosmology, including the cusp—core problem, angular momentum loss, and early formation of massive galaxies. Our results suggest that multifractal gravitational backgrounds provide a physically consistent and predictive alternative paradigm for the formation and evolution of cosmic structures.