Can anybody explain how a black hole with mass of few dozens of atoms can gravitationally attract a significant amount of matter to grow? Is there some paper which quantitatively analyses how fast would such a tiny stable BH grow under some plausible circumstances?
If I take 1000 TeV, the expected energy of two colliding Pb ions on LHC, to be the mass of the produced BH (which is certainly a gross overkill), its classical Schwarzschild radius will be of order 10^-48 m. For comparison, the charge diameter of a proton is about 10^-15 m, the interatomic distances are of order 10^-10 m.
A black hole small enough that Hawking radiation is relevant is too small to be a danger to anything. As far as I can tell, a quite large black hole could sit at the center of the earth without doing anything noticeable. I think my calculation was that a 10 micron radius black hole at the center of the earth would have a doubling time of a billion years. That link is to Scott Aaronson's blog where he asks that exact question. I recorded 10 microns there, but otherwise my calculations have been lost. Various people do similar calculations and seem to get si...
http://lifeboat.com/blog/2011/06/dear-dr-hawking
Hey guys, my quantum physics is not powerful enough to understand this guy... Can anyone help me out with this one?
Thanks LW