3 ms·
Cool question, never thought about it! I'm not a physicist, but hopefully will be able to point at the right direction. Guess the short and boring answer is th
by karlicoss 5y ago
Cool question, never thought about it! I'm not a physicist, but hopefully will be able to point at the right direction.
Guess the short and boring answer is that we don't really know if GR applies at the scales of electrons (or to be more specific, how to apply it), so perhaps the notion of black hole doesn't even make sense, at least conventional sense.
If you try speculating about it, there are some interesting points to ponder:
1. We know that black holes should evaporate via Hawking radiation. If you substitute electron's mass in the formula here [1], you get that electron mass black hole should evaporate in 6 * 10^-107 seconds. Clearly we don't see electrons doing that :) (however note that this formula assumes Schwarzschild solution, more about it further)
2. When you reason that if you narrow down electron's radius sufficiently, at some point is has to become a black hole, you kind of implicitly assume that it behaves according to the Schwarzschild metric [2]. This minimum radius at which you'd reason it's a black hole, would be the Schwarzschild radius. However, electron also has charge and angular momentum. Spin is quite different from a bunch of stellar stuff rotating around its axis, and I don't remember the derivation of GR solutions for spinning matter, but if we do speculate here anyway, still feels like we'd need to use the Kerr-Newman metric, which takes charge and angular momentum into the account [3]. If you use that metric, it's not the case anymore that any object with sufficiently small radius could form an event horizon -- if it has enough charge or angular momentum, it won't, so the electron won't be a black hole! However in a sense it only makes things works -- it exposes a naked singularity which we also don't seem to observe. P.S. the article also references "black hole electron" [4], didn't know it was a thing!
3. P.S. I also found this [5], which argues that even if you assume Schwarzschild radius for an electron, at this scale it's possible that the electroweak symmetry is restored, and the electron starts appearing massless. Can't say I'm fully able to follow this argument, so will just leave it here
[1] https://en.wikipedia.org/wiki/Hawking_radiation#Black_hole_evaporation https://en.wikipedia.org/wiki/Hawking_radiation#Black_hole_e...
[2] https://en.wikipedia.org/wiki/Schwarzschild_metric https://en.wikipedia.org/wiki/Schwarzschild_metric
[3] https://en.wikipedia.org/wiki/Kerr%E2%80%93Newman_metric#Overview_of_the_solution https://en.wikipedia.org/wiki/Kerr%E2%80%93Newman_metric#Ove...
[4] https://en.wikipedia.org/wiki/Black_hole_electron https://en.wikipedia.org/wiki/Black_hole_electron
[5] https://www.reddit.com/r/Physics/comments/7fd7pg/if_an_electron_is_a_point_particle_and_a_black/dqb45lo/ https://www.reddit.com/r/Physics/comments/7fd7pg/if_an_elect...