https://doi.org/10.1140/epjc/s10052-019-6610-1
Regular Article - Theoretical Physics
Noncommutative Schwarzschild geometry and generalized uncertainty principle
1
Department of Mathematics, Faculty of Science Division II, Tokyo, University of Science, Kagurazaka 1-3, Shinjuku-ku, Tokyo, 162-8601, Japan
2
Dipartimento di Fisica ”E.R. Caianiello” Università di Salerno, 84084, Fisciano, SA, Italy
3
INFN, Gruppo Collegato di Salerno, Fisciano, Italy
* e-mail: lambiase@sa.infn.it
Received:
11
November
2018
Accepted:
19
January
2019
Published online:
30
January
2019
We discuss a possible link between the deformation parameter 
arising in the framework of noncommutative geometry and the parameter 
of the generalized uncertainty principle (GUP). We compute the shift of the Hawking temperature induced by the -deformed Schwarzschild geometry, and then we relate it to one obtained by GUP. Results suggest a granular structure of specetime at the Planck scales. The current bounds on allow to constraint the noncommutative parameter .
© The Author(s), 2019
