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Minimal Length in quantum gravity and gravitational measurements
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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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Cited by 4 Pith papers
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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 Bek...
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A winding number analysis of Schwarzschild black hole stability in light of Planck-scale modified kinematics
For the cubic entropy correction S=πr_h²−αr_h³ arising from a Planck-scale modified dispersion relation, all physically allowed Schwarzschild-like branches have winding number w=−1, so no stable phase appears.
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Light front holographic QCD theory in the generalized uncertainty principle framework
A fitted GUP term added to light-front holographic QCD shifts meson masses upward, but the claimed improvement is not a prediction and does not apply to the pion.
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Minimal length effect on meson form factors in light front AdS$_{5}$/QCD
A GUP-corrected pion wave function with multiple Fock states yields a positive correction to the form factor, but the decisive coefficients are asserted rather than derived.
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