Even if a micro black hole has only a mass on the scale of micrograms it is still a black hole which means it has an event horizon and an escape velocity that equals or exceeds the speed of light at or beyond this event horizon respectively.
Does that mean whatever "touches" the black hole cannot be detached from it since you couldn't possibly pull it off at lightspeed?
it would evaporate due to hawking radiation very quickly and effectively 'explode' because the amount of radiation emitted is inversely proportional to the surface area of the event horizon.
So.... what constitutes the smallest possible blackhole mass needed to actually prevent light from escaping? And, wouldn't any such body totally and absolutely fuck the entire solar system's shit if one should appear in it for whatever reason?
I mean to make a blackhole you have to have x amount of mass in x sized area. I really don't think Planck mass quanta of the smallest blackhole is remotely possible.
Then again, you first have to prove that black holes exist in the first place before moving on to anything to do with their properties.
you can have a black hole that weighs micrograms as some other anon said. Say you have a 1g black hole.
But it will evaporate so quickly that in will be an explosion that will kill you.
that's 90 * 10^12J released in 79 * 10^-27s, or
in comparison, the sun's power has an order of magnitude of 10^26
that's right nigger, that 1g black hole will evaporate with the power of 10 trillion suns in front of you.
Well there wasn't a mathematical proof as far as I know. It is based on observations. Apparently everywhere they look in the universe, the black holes are unable to grow past the accumulated 10 billions times the mass of our Sun. They speculate that as the black holes reach that mass they radiation emitted becomes so strong that it starts to influence and push the gas around it that it stop it from forming solar systems and so it stops growing. Basically it becomes so fat that it pushes, with its ever growing fat belly, the table on which the food is, away from itself and beyond it's reach.