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stanleykorn
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Consider the following thought experiment. Electrons are propelled into an ordinary (nonrotating) black hole until the black hole has a sufficient electrostatic charge so that the electrostatic repulsive force on the next electron is greater than the gravitational attractive force. Since both the electrostatic force and gravity vary inversely with the square of the distance from the black hole, this next electron will experience a net inverse square repulsive force. Now suppose that this next electron is propelled towards the black hole with sufficient initial velocity so that it crosses the event horizon of the black hole. While an observer on this electron would observe the electron cross the event horizon in a finite amount of time, an infinite amount of time will have elapsed in the outside universe. Once inside the event horizon, the electron cannot fall into the singularity due to the net repulsive force, but must at some point be propelled away from the singularity until it recrosses the event horizon. Meanwhile, an infinite amount of time will have gone by in the outside universe into which the electron has re-entered, while the observer on the electron will have experienced the elapse of only a finite amount of time. Is that possible?
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