Quasicrystals, characterized by long-range order without translational periodicity, host electronic states that fundamentally differ from those in crystalline solids. Their intrinsic quasiperiodicity gives rise to critical wavefunctions with multifractal spatial structure, which profoundly reshapes the nature of interactions and collective phenomena. Here, we show that multifractal states generically mediate long-range, highly nonlocal couplings, effectively promoting short-range interactions into system-wide connectivity. In addition, we demonstrate unconventional superconductivity in which multifractal pairing is uniquely stabilized, with enhanced robustness arising from multiscale coherence.
