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arxiv: 0704.1261 · v1 · submitted 2007-04-10 · 🌀 gr-qc

Quantum-corrected black hole thermodynamics to all orders in the Planck length

classification 🌀 gr-qc
keywords blackevaporationhawkinglengthplanckzeroentropyhole
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We investigate the effects to all orders in the Planck length from a generalized un- certainty principle (GUP) on black holes thermodynamics. We calculate the corrected Hawking temperature, entropy, and examine in details the Hawking evaporation process. As a result, the evaporation process is accelerated and the evaporation end-point is a zero entropy, zero heat capacity and finite non zero temperature black hole remnant (BHR). In particular we obtain a drastic reduction of the decay time, in comparison with the results obtained in the Hawking semi classical picture and with the GUP to leading order in the Planck length.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. From minimal-length quantum theory to modified gravity

    gr-qc 2025-11 unverdicted novelty 5.0

    A systematic mapping is derived from GUP parameters in minimal-length quantum theory to higher-order curvature coefficients in extended gravity, with an application yielding an upper bound on the minimal measurable le...

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    gr-qc 2025-07 unverdicted novelty 3.0

    Quantum-corrected thermodynamics of conformal Weyl gravity black holes via GUP and exponential entropy reveals parameter-dependent divergences in heat capacity and shifts in Joule-Thomson inversion points indicating p...