Resolving the Dark Matter Cusp-Core Problem via Topological Bulk Shadowing

The standard Cold Dark Matter paradigm predicts cuspy inner halos, while dwarf and low-surface-brightness galaxies repeatedly show flatter, core-like rotation curves. In QGEFT, dark matter is interpreted not as a new particulate fluid but as a topological bulk shadow generated by inter-manifold entanglement. That discrete topological origin naturally suppresses divergent central densities and motivates a cored pseudo-density profile, $\rho_{QGEFT}(r)=\rho_0[1+(r/R_c)^2]^{-1}e^{-r/R_E}$. We test that profile directly against eight representative SPARC dwarf and LSB galaxies and compare it to the standard Navarro-Frenk-White cusp under the same fixed-baryon treatment. In the widened-grid benchmark, QGEFT outperforms NFW in `8/8` galaxies, with median reduced $\chi^2\approx1.37$ versus `4.77` for NFW and median $\Delta\chi^2=\chi^2_{NFW}-\chi^2_{QGEFT}\approx10.59`. The narrow claim is not that all dark-matter phenomenology is solved, but that the QGEFT topological core profile provides a systematically favored and quantitatively competitive description of the tested SPARC dwarf sample.