The quantum measurement problem arises from the coexistence of unitary evolution and non unitary collapse. Here we propose a dynamical framework — Information-Copying Cosmology (ICC) —in which collapse is not a fundamental postulate but an emergent phenomenon. Starting from a basis-dependent broadcasting channel, we derive a Lindblad-type master equation with rates that depend on the connectivity of an underlying information-copying network. When the copying density exceeds a critical threshold, the network percolates, and a giant connected component emerges. We show that the effective decoherence rate becomes proportional to the relative size of this giant component, identifying classicality as a percolation order parameter. The ICC model predicts critical slowing down with universal exponents (ν ≈ 0.876, β ≈ 0.418 in 3D) and a power-law scaling of interference visibility with system size near the critical point, which is distinct from standard exponential decoherence. A concrete experimental protocol using trapped ions is proposed. Finally, a speculative extension to black hole horizons suggests a percolation-based mechanism for information retention within the ICC framework.