Black Hole Mass Density

From previously,  if earth were to shrink to a radius of ${r}_{o}=0.00886$m then it is dense enough to be a black hole.  Since,

$\cfrac { { r }_{ e }^{ 3 } }{ { r }_{ o }^{ 3 } } =\cfrac { { d }_{ o } }{ { d }_{ e } }$ , earth density, ${d}_{e}$ = 5.52 g/cm³, earth radius, ${r}_{e}$=6371 km

We have mass density of this black hole, ${d}_{o}$


${ d }_{ o }=\cfrac { { r }_{ e }^{ 3 } }{ { r }_{ o }^{ 3 } } { d }_{ e }$=(6371000/0.00886)^3*5.52= 2.0524*10^27 g/cm³

Space permeates through all matter.  This density may be the limit beyond which space cannot penetrate.