Because of conservation of both momentum and energy, particles coming out of the LHC are no slouch either. So although under extremely hypothetical conditions, stable black holes can exist without the sun being destroyed by cosmic rays, even then you need to add even more hypotheticals to make the LHC dangerous.
Note that their very hypothetical scenario is already discouraged by many orders of magnitude by Occam’s razor. I’m not sure what the simplest theory that doesn’t have black holes radiate but does have pair production near them is, but it’s probably really complicated. And then these guys push it even further by requiring that these black hole-like objects not destroy neutron stars either!
I certainly don’t disagree that there are a number of unlikely hypotheticals here that together are very improbable.
My impression from reading had been that, while the typical black hole that would be created by LHC would have too high momentum relative to Earth, there would be a distribution and with reasonably high probability at least one hole (per year, say) would accidentally have sufficiently low momentum relative to Earth. I can’t immediately find that calculation though.
If P(black holes lose charge | black holes don’t Hawking-radiate) is very low, then it becomes more reasonable to skip over the white dwarf part of the argument. Still, in that case, it seems like an honest summary of the argument would have to mention this point, given that it’s a whole lot less obvious than the point about different momenta. G & M seem to have thought it non-crazy enough to devote a few sections of paper to the possibility.
Even producing a black hole per year is doubtful under our current best guesses, but if one of a few extra-dimension TOEs are right (possible) we could produce them. So there’s sort of no “typical” black hole produced by the LHC.
But you’re right, you could make a low-momentum black hole with some probability if the numbers worked out. I don’t know how to calculate what the rate would be, though—it would probably involve gory details of the particular TOE. 1 per year doesn’t sound crazy, though, if they’re possible.
Because of conservation of both momentum and energy, particles coming out of the LHC are no slouch either. So although under extremely hypothetical conditions, stable black holes can exist without the sun being destroyed by cosmic rays, even then you need to add even more hypotheticals to make the LHC dangerous.
Note that their very hypothetical scenario is already discouraged by many orders of magnitude by Occam’s razor. I’m not sure what the simplest theory that doesn’t have black holes radiate but does have pair production near them is, but it’s probably really complicated. And then these guys push it even further by requiring that these black hole-like objects not destroy neutron stars either!
I certainly don’t disagree that there are a number of unlikely hypotheticals here that together are very improbable.
My impression from reading had been that, while the typical black hole that would be created by LHC would have too high momentum relative to Earth, there would be a distribution and with reasonably high probability at least one hole (per year, say) would accidentally have sufficiently low momentum relative to Earth. I can’t immediately find that calculation though.
If P(black holes lose charge | black holes don’t Hawking-radiate) is very low, then it becomes more reasonable to skip over the white dwarf part of the argument. Still, in that case, it seems like an honest summary of the argument would have to mention this point, given that it’s a whole lot less obvious than the point about different momenta. G & M seem to have thought it non-crazy enough to devote a few sections of paper to the possibility.
Even producing a black hole per year is doubtful under our current best guesses, but if one of a few extra-dimension TOEs are right (possible) we could produce them. So there’s sort of no “typical” black hole produced by the LHC.
But you’re right, you could make a low-momentum black hole with some probability if the numbers worked out. I don’t know how to calculate what the rate would be, though—it would probably involve gory details of the particular TOE. 1 per year doesn’t sound crazy, though, if they’re possible.