We discuss a possible link between the deformation parameter Θ μν arising in the framework of noncommutative geometry and the parameter β of the generalized uncertainty principle (GUP). We compute the shift of the Hawking temperature induced by the Θ μν-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 β allow to constraint the noncommutative parameter Θ μν.
Noncommutative Schwarzschild geometry and generalized uncertainty principle
Lambiase, G.;Vilasi, G.;
2019
Abstract
We discuss a possible link between the deformation parameter Θ μν arising in the framework of noncommutative geometry and the parameter β of the generalized uncertainty principle (GUP). We compute the shift of the Hawking temperature induced by the Θ μν-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 β allow to constraint the noncommutative parameter Θ μν.File in questo prodotto:
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