Bounds on GUP parameters from GW150914 and GW190521
Ashmita Das, Saurya Das, Noor R. Mansour, Elias C. Vagenas

TL;DR
This paper derives bounds on generalized uncertainty principle (GUP) parameters using gravitational wave data from GW150914 and GW190521, linking quantum gravity phenomenology with observational astrophysics.
Contribution
It introduces a method to constrain GUP parameters by analyzing the speed difference of gravitons and photons in curved spacetime from gravitational wave observations.
Findings
Bounds on GUP parameters are among the best obtained to date.
Graviton and photon speed differences provide a new way to test quantum gravity.
Results improve constraints on quantum gravity models using astrophysical data.
Abstract
We compute bounds on the GUP parameters for two versions of GUP using gravitational wave data from the events GW150914 and GW190521. The speed of the graviton and photon are calculated in a curved spacetime modified by GUP, assuming that these particles have a small mass. The observational bound on the difference in their speeds translates to bounds on the GUP parameters. These bounds are some of the best obtained so far in the context of quantum gravity phenomenology.
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