European Physical Journal C: Particles and Fields (Apr 2020)

Upper bound on the GUP parameter using the black hole shadow

  • Juliano C. S. Neves

DOI
https://doi.org/10.1140/epjc/s10052-020-7913-y
Journal volume & issue
Vol. 80, no. 4
pp. 1 – 10

Abstract

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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 .