https://doi.org/10.1140/epjc/s10052-023-11848-6
Regular Article - Theoretical Physics
Investigating the connection between generalized uncertainty principle and asymptotically safe gravity in black hole signatures through shadow and quasinormal modes
1
Dipartimento di Fisica “E.R Caianiello”, Università degli Studi di Salerno, Via Giovanni Paolo II, 132, 84084, Fisciano, SA, Italy
2
Istituto Nazionale di Fisica Nucleare-Gruppo Collegato di Salerno-Sezione di Napoli, Via Giovanni Paolo II, 132, 84084, Fisciano, SA, Italy
3
Physics Department, Mapúa University, 658 Muralla St., Intramuros, 1002, Manila, Philippines
4
Department of Physics, Dibrugarh University, 786004, Dibrugarh, Assam, India
5
Physics Department, Eastern Mediterranean University, North Cyprus via Mersin 10, 99628, Famagusta, Turkey
Received:
6
June
2023
Accepted:
16
July
2023
Published online:
30
July
2023
The links between the deformation parameter 
of the generalized uncertainty principle (GUP) to the two free parameters 
and 
of the running Newtonian coupling constant of the Asymptotic Safe gravity (ASG) program, has been conducted recently in [Phys. Rev. D 105 (2022) 12, 124054. https://doi.org/10.1103/PhysRevD.105.124054] In this paper, we test these findings by calculating and examining the shadow and quasinormal modes of black holes, and demonstrate that the approach provides a theoretical framework for exploring the interplay between quantum gravity and GUP. Our results confirm the consistency of ASG and GUP, and offer new insights into the nature of black holes and their signatures. The implications of these findings for future studies in quantum gravity are also discussed.
© The Author(s) 2023
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