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Why don't electrons turn into black holes?

  1. May 24, 2010 #1
    From my understanding electrons are point particles with zero volume, therefore zero radius.

    F = GMm / r^2
    F = GMm / (0)^2
    F = ∞ N.

    Can someone please explain?
  2. jcsd
  3. May 24, 2010 #2


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    A point particle doesn't exert a force on itself. That formula only applies to two different particles.

    In a broader sense, though, we really don't know why. You're right that treating electrons as point particles causes all sorts of problems. Their true nature is still somewhat mysterious. (This is/was the appeal of string theory, that the fundamental particles could be "strings" or other extended objects rather than points, which helps a lot of problems go away)
  4. May 24, 2010 #3
    Because its Compton wavelength is bigger than its Schwarzschild radius.
    Last edited: May 24, 2010
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