Halo Density Profiles with a Torsion Correction: The Radius Where the Correction Would Cap a Cusp

Collisionless cold dark matter predicts halo density profiles that rise steeply toward the centre. A density limit suggests a natural cap: no profile should exceed the limiting density. This paper computes where such a cap would bite for a Milky Way-like halo described by the standard Navarro-Frenk-White form, for both the neutron and electron carrier branches of the limit. In both cases the cap radius is far below any physical scale in the halo, smaller than atomic scales for the neutron branch. The correction therefore leaves the predicted profile unchanged at every resolved radius, and it cannot account for the cored profiles reported in some dwarf galaxies. That negative result is useful: it separates the density-limit idea from small-scale profile phenomenology. Headline values are: rho at 1kpc kg m3 = 9.070e-21, cap radius neutron m = 3.175e-59, cap radius electron m = 1.073e-52, correction at 1kpc = 9.334e-79. This study is simulated and computed from stated assumptions; it is not a measurement.