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.
Minimal Length in quantum gravity and gravitational measurements
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abstract
The existence of a minimal length is a common prediction of various theories of quantum gravity. This minimal length leads to a modification of the Heisenberg uncertainty principle to a Generalized Uncertainty Principle (GUP). Various studies showed that a GUP modifies the Hawking radiation of black holes. In this paper, we propose a modification of the Schwarzschild metric based on the modified Hawking temperature derived from the GUP. Based on this modified metric, we calculate corrections to the deflection of light, time delay of light, perihelion precession, and gravitational redshift. We compare our results with gravitational measurements to set an upper bound on the GUP parameter.
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gr-qc 1years
2025 1verdicts
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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.