The Effects of Minimal Length, Maximal Momentum and Minimal Momentum in Entropic Force

Understand

In this paper, the modified entropic force law is studied by using a new kind of generalized uncertainty principle which contains a minimal length, a minimal momentum and a maximal momentum.

• Firstly, the quantum corrections to the thermodynamics of a black hole is investigated.
• Then, according to Verlinde's theory, the generalized uncertainty principle (GUP) corrected entropic force is obtained.
• The result shows that the GUP corrected entropic force is related not only to the properties of the black holes, but also to the Planck length and the dimensionless constants $\alpha _{\rm{0}}$ and $\beta _{\rm{0}}$.