An electron is a point-like particle of zero radius, so it is natural to wonder whether an electron could be a black hole. However, a black hole of mass M cannot have an arbitrary amount of angular momentum L and charge Q. These values must satisfy an inequality,
(cGM)2≥G(cQ)2+(ML)2.
If this inequality were violated, the singularity would be found outside the event horizon, in violation of the Law of Cosmic Censorship. Use ℏ/2 for the electron's angular momentum to determine whether or not an electron is a black hole.