A minimum purification time for evaporating black holes is derived as scaling with M0^4/hbar^{3/2}, becoming exponential in initial area under a metastability assumption for Planck-scale holes, implying white-hole remnants.
Exponentially Long Evaporation of Noncommutative Black Hole
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abstract
We investigate Hawking radiation in noncommutative spacetime. For a dynamical black hole formed by the collapse of a matter shell, we demonstrate that spacetime noncommutativity modifies the interaction between the radiation field and the background geometry. In particular, the collapsing shell is effectively shifted by an amount proportional to the momentum of an outgoing Hawking mode. While the nonlocality inherent in noncommutative spacetime invalidates the conventional arguments for the robustness of Hawking radiation, the radiation decays substantially after the scrambling time, resulting in an exponentially long evaporation time.
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gr-qc 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
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Minimum lifetime of a black hole
A minimum purification time for evaporating black holes is derived as scaling with M0^4/hbar^{3/2}, becoming exponential in initial area under a metastability assumption for Planck-scale holes, implying white-hole remnants.