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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.

fields

gr-qc 1

years

2026 1

verdicts

UNVERDICTED 1

representative citing papers

Minimum lifetime of a black hole

gr-qc · 2026-05-05 · unverdicted · novelty 6.0

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.

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  • Minimum lifetime of a black hole gr-qc · 2026-05-05 · unverdicted · none · ref 98 · internal anchor

    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.