2017
DOI: 10.1016/j.physletb.2017.02.043
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Constraining the generalized uncertainty principle with the gravitational wave event GW150914

Abstract: In this letter, we show that the dimensionless parameter in the generalized uncertainty principle (GUP) can be constrained by the gravitational wave event GW150914, which was discovered by the LIGO Scientific and Virgo Collaborations. Firstly, according to the Heisenberg uncertainty principle (HUP) and the data of gravitational wave event GW150914, we derive the standard energy-momentum dispersion relation and calculate the difference between the propagation speed of gravitons and the speed of light, i.e., ∆υ.… Show more

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Cited by 97 publications
(84 citation statements)
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“…We treat particle processes in this framework in details. On the other hand, detection of gravitational waves via events such as GW170814 [25], which has constrained gravitational theories dramatically (see for instance [26][27][28][29][30]), provides a fascinating framework to constraint GUPs' parameters (see also [31]). This is the issue we shall focus on and investigate via some numerical analysis.…”
Section: Introductionmentioning
confidence: 99%
“…We treat particle processes in this framework in details. On the other hand, detection of gravitational waves via events such as GW170814 [25], which has constrained gravitational theories dramatically (see for instance [26][27][28][29][30]), provides a fascinating framework to constraint GUPs' parameters (see also [31]). This is the issue we shall focus on and investigate via some numerical analysis.…”
Section: Introductionmentioning
confidence: 99%
“…which makes the entropy of the black hole to be the Bekenstein-Hawking entropy. For the special choice of parameters (27), the rainbow functions (19) are rewritten as f (E) = 1 + α GUP L 2 p E 2 and g(E) = 1. And the modified Stefan-Boltzmann law (24) and the temperature (26) are simplified as dM/dt ≃ −A(8π 5 /15)T 4 and T ≃ (8πGM) −1 .…”
Section: Black Hole Complementarity With Gup In Gravity's Rain-bowmentioning
confidence: 99%
“…where l p is the Planck length, and α is a positive constant with length dimension whose upper limits can be given by the recent discovered gravitational waves [45]. On the basis of this relation, the corrected temperature and entropy for some static and stationary black holes were given in [46].…”
Section: Introductionmentioning
confidence: 99%