I have got to say, one should not use the chandrasekhar limit when thinking about the critical density to crush a thing so it collapses on itself under gravity, as the limit is a measurement of mass, not density.
Also, crushing a thing beyond that critical density will not trigger a supernova explosion. As the proper supernovas are triggered by the unresisted in-falling of the outer layers of the star and its abrupt slam and hence rebound on the contracting core, which shoots the material outwards with the added force of nuclear fusion under the increased pressure. As there is no material to fall onto the now blackhole herrscher core, a supernova would not happen. The old chinese explaination at least made more sense (theoretically plausible).
