A logarithmic entropy correction, combined with the GEVAG varying-G correspondence, yields a metric whose Hawking temperature exactly matches the GUP temperature, implying a negative GUP parameter under the strict Bekenstein bound.
Hawking Temperature and the Inverse-Radius Scale of the Horizon
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abstract
The Hawking temperature of a Schwarzschild black hole can be heuristically derived by identifying the temperature with the inverse radius of the horizon up to a multiplicative constant. This does not work for more general black holes such as the Kerr and Reissner-Nordstr\"om solutions. Expounding on the details of how it fails to work nevertheless uncovers interesting connections with the "spring constant" of black holes and with black hole thermodynamics.
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GUP Effective Metric Without GUP: Implications for the Sign of GUP Parameter and Quantum Bounce
A logarithmic entropy correction, combined with the GEVAG varying-G correspondence, yields a metric whose Hawking temperature exactly matches the GUP temperature, implying a negative GUP parameter under the strict Bekenstein bound.