The zero point energy of a vacuum is different depending on speed and gravity. The zero point energy of the curved geometry of spacetime near a blackhole is higher compared to a distant observer, so to a distant observer it looks like there’s positive energy radiation where there should be zero energy. That energy difference is a result of the curved spacetime around the black hole which is related to its mass, so therefore the energy comes from the black hole’s mass, and the loss of this positive energy can be crudely thought of as the addition of negative energy.
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