So, a particle - anti particle pair appear out of nothingness, one just inside the black hole's event horizon, getting sucked in, and the other just outside, getting away. Wouldn't that increase the mass of the black hole by the mass of the particle that got sucked in? Wouldn't that also increase the mass of the universe by the mass of the two particles, therefore violating the conservation of mass and energy?

I'm probably just displaying my ignorance. Please straighten me out.

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"For the world is hollow and I have touched the sky"