European Physical Journal C: Particles and Fields (Apr 2020)
Upper bound on the GUP parameter using the black hole shadow
Abstract
Abstract An upper bound on the parameter that provides a generalized uncertainty principle (GUP) is obtained from the black hole shadow. With the aid of a recent constraint between regular black holes and the GUP parameter, it is indicated a relation between this parameter and the deviation from circularity of the black hole shadow. In the case of the recent announcement of the M87* results from the Event Horizon Telescope collaboration, a deviation from circularity $$\lesssim 10\%$$ ≲10% imposes a GUP parameter $$\beta _0 <10^{90}$$ β0<1090 .