Schematic illustration of the proposed structure of a cored DM halo under the DID mechanism within the hierarchical cosmic structure formation paradigm. Compact degenerate inner cores (purple dots) form early within the smallest subhalos during hierarchical assembly. These local degeneracies deplete the surrounding DM, collectively producing a large-scale, low-density core (dark gray) embedded within the broader dark matter halo (light gray). The luminous galaxy is shown in blue.