The Generalized Uncertainty Principle in (A)dS Space and the Modification of Hawking Temperature from the Minimal Length

By Mu-In Park. 2007

191 citations recorded by the source corpus.

Recently, the Heisenberg's uncertainty principle has been extended to incorporate the existence of a large (cut-off) length scale in de Sitter or anti-de Sitter space, and the Hawking temperatures of the Schwarzshild–(anti) de Sitter black holes have been reproduced by using the extended uncertainty principle. I generalize the extended uncertainty to the case with an absolute minimum length and compute its modification to the Hawking temperature. I obtain a general trend that the generalized uncertainty principle due to the absolute minimum length “always” increases the Hawking temperature, implying “faster” decay, which is in conformity with the result in the asymptotically flat space. I also revisit the black hole-string phase transition, in the context of the generalized uncertainty principle.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/22d73e4715aaa2900df1900947645b3fb2ff2e4d

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Astronomy and Astrophysics

1. Abdel Nasser Tawfik
2. A. Diab

In Nuclear and High Energy Physics

1. Abdel Nasser Tawfik
2. A. Diab
3. M. Drewes
4. Sourendu Gupta
5. C. Fuchs
6. Supriyo Datta

In Statistical and Nonlinear Physics

1. Abdel Nasser Tawfik
2. A. Diab

Citations in the corpus

• Generalized Uncertainty Principle: Approaches and Applications (2014, background): “The energy of absorbed or emitted particle as uncertainty of the momentum can be identified as dE ≃ ∆p [151].”