Discuss the below:
Q: How do virtual particles cause black holes to evaporate?
Stephen Hawking has stated that black holes disappear over time. My understanding is that because of the uncertainty principle there are vacuum fluctuations causing positive and negative energy particles to be produced at the event horizon. If the negatively energy particles fall into the black hole they reduce the mass of the object and over time the black hole evaporates. My question is don't these particles have a 50% chance of being of positive or negative energy? And if I'm right the same percentage of positive or negative energy particles will fall into the black hole, yielding no change to the object.