Monday, December 10, 2018

Are electrons miniature black holes?




For something to be a blackhole, it must have gravity and the radius must be smaller than the schwarzschild radius for its mass.


-Electrons have gravity


-Electron are theoretically believed to be infinitely small points


Since it has gravity it is capable of being a black hole. Since its radius is infinitely small, it must have a schwarzschild radius and thus be a black hole.



Answer



There is no universally accepted quantum theory of gravity.


Quantumly, the "shape" of a fundamental particle is a very fuzzy notion - we know that states are often not localized, so it is wholly unclear what it means to say "the electron is pointlike". The proper formal interpretation of a "pointlike particle" is simply a particle that is not composite - has no substructure we know of.


But the electron is not believed to be a "miniature black hole" because no one expects gravity to work exactly as in GR at the quantum level. Your question is meaningless at the current state of knowledge because black holes are classical macroscopic objects, and the "pointlike structure" of the electron is not meant in the sense that it is a classical point particle.


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