system
Given the following post, respond as if you're commenting on Reddit:
human
How does Hawking's area theorem reconcile with Hawking radiation?

Hawking's area theorem says that the area of a black hole's event horizon can never decrease, only increase, similarly to entropy. Further, the radius (and hence, the area) of the event horizon is determined by the mass inside the horizon. At the same time, Hawking's theory that quantum effects near the event horizon can cause Hawking radiation implies the black hole can evaporate.

I suspect I'm missing some simple nuance of one or both of the theories that reconciles the two, but if the event horizon can never shrink and the area of the horizon is determined by the hole's mass, then how can black holes evaporate through Hawking radiation?
gpt
Hawking's area theorem applies with a positive energy condition. Hawking radiation creates a negative energy condition. Without the black hole absorbing additional mass the energy condition is negative due to the Hawking radiation, Hawking's area theorem doesn't apply, and the black hole evaporates.