Exploding black holes rain down on Earth

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Black holes are theorized to rain down on Earth, but their small size and rapid evaporation make it unlikely for them to grow by absorbing nearby particles. The discussion highlights the fascinating intersection of quantum mechanics and special relativity regarding the behavior of these tiny black holes. While they radiate high-energy photons and dissipate quickly, the probability of them accumulating enough mass from surrounding matter appears to be nearly zero. The critical density of matter required for a small black hole to successfully absorb particles remains uncertain, with suggestions that such conditions may not exist in our atmosphere or celestial bodies. The potential detection of these black holes by radio observatories is questioned due to their extremely short lifespan and instability.
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Part of what's fascinating to me is the rate at which these black holes dissipate; that they are so small, and their massive gravity extended for so short a distance that it is virtually impossible for them to come into contact with another particle so that they actually grow.

But I do wonder, does the existing model actually give a non-zero probability that they will grow? Or is there some other contraint as to why they do not absorb another nearby particle (thus making this probability actually zero)?
 
Originally posted by Soveraign
Part of what's fascinating to me is the rate at which these black holes dissipate; that they are so small, and their massive gravity extended for so short a distance that it is virtually impossible for them to come into contact with another particle so that they actually grow.

But I do wonder, does the existing model actually give a non-zero probability that they will grow? Or is there some other contraint as to why they do not absorb another nearby particle (thus making this probability actually zero)?

As black holes get smaller, they radiate higher energy photons, and 'evaporate' more rapidly. That means that it's very unlikely for a small black hole to stay around for very long at all, and the mass of a stray molecule or two in the air will probably not tip the balance to make them large enough to start sucking in air.

AFAIK, the behavior of super-small black holes is extremely interesting to scientists because it is at a crux between Qantum Mechanics and Special relativity which both make different assumptions about the universe, and both make very good predicitions.
 
I'm aware of the evaporation of black holes (at any size) and the fact they have such a short life time on that small scale that they are not expected to suck in nearby particles. What I'm curious about though is that probability actually zero or only nearly zero? Or, even if it isn't quite zero, the density of matter in the atmosphere just isn't enough no matter what the circumstance to cause the thing to grow (which I suspect is closer to the truth considering we are still around :) ).

If that is the case, then what, exactly, would be the critical density of matter to cause a super-small black hole, created possibly from some stray high energy particle, to successfully suck in nearby matter? Would such a condition exist inside known celestial bodies?

OR, are the mechanics at that level such that it is quite litterally impossible for a nearby particle to actually get close enough to be sucked in, thus the question of critical density being irrelavent?

I'm curious if anyone has attempted to work out some theoretical predictions? (something possibly testable by the LHC)
 
These black holes would be invisibly small, with a mass of only 10 micrograms or so. And they would be so unstable that they would explode in a burst of particles within around a billion-billion-billionth of a second.

Why wouldn't these be detected by radio observatories since they explode at such a rate?
 
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