Primordial Remnants as Dark Matter: Number Density and Mean Separation Implied by the Limit Remnant

The remnant mass is 8.659e+10 kilograms and the required number density is 8.235e-33 per cubic metre, giving a mean separation of 4.952e+10 metres, about 4.952e+07 kilometres, and a flux of 1.812e-27 remnants per square metre per second. The picture is therefore the opposite of a dense swarm: the halo's mass is carried by heavy, widely separated relics, with tens of millions of kilometres between neighbours, each individually undetectable by any present technique and collectively accounting for the halo's gravity. That combination, enormous separation with negligible individual effect, is the signature difficulty of remnant dark matter and the numbers make it precise. Computed from stated assumptions, not measured.