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Noncommutative Schwarzschild geometry and generalized uncertainty principle
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Journal Article
Noncommutative Schwarzschild geometry and generalized uncertainty principle
2019
Overview
We discuss a possible link between the deformation parameter \\[\\Theta ^{\\mu \\nu }\\] arising in the framework of noncommutative geometry and the parameter \\[\\beta \\] of the generalized uncertainty principle (GUP). We compute the shift of the Hawking temperature induced by the \\[\\Theta ^{\\mu \\nu }\\]-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 \\[\\beta \\] allow to constraint the noncommutative parameter \\[\\Theta ^{\\mu \\nu }\\].
Publisher
Springer Nature B.V
Subject
