The discussion revolves around whether currents in a single wire can attract each other. It notes that in a wire with a finite cross-section and no net charge, the electron density may be slightly higher in the interior due to magnetic fields. However, calculations indicate that this effect is minimal for realistic current flows. The increased electron density leads to repulsion, which counteracts any magnetic attraction. Overall, the forces involved are too small to result in significant attraction between currents in a wire.