This seems to try and make a parallel between neutron stars and his proposal of a "dark energy star". This uber-dense matter would stop matter from collapsing enough to form an event horizon.
But there is a serious problem with this. If you measure the density of a black hole by using it's even horizon you'll find that the mass and event horizon do not scale together. For instance, calculated in this way, a galactic mass black hole has a density of only 200kg/m³.
It actually is true thought, that some supermassive blackholes have a density thats pretty close to that of water, and their event horizons are very very gentle.
But there is a serious problem with this. If you measure the density of a black hole by using it's even horizon you'll find that the mass and event horizon do not scale together. For instance, calculated in this way, a galactic mass black hole has a density of only 200kg/m³.