On the two new types of the higher order GUP with minimal length uncertainty and maximal momentum

In this letter, we present two new types of D-dimensional nonperturbative Generalized Uncertainty Principle (GUP) which are predicted both a minimal length uncertainty and a maximal observable momentum. Then, using these GUPs, we study the density of states for D-dimensional spherical coordinate sys...

Full description

Bibliographic Details
Published in:Physics Letters B
Main Authors: Homa Shababi, Won Sang Chung
Format: Article
Language:English
Published: Elsevier 2017-07-01
Subjects:
Quantum gravity
Generalized uncertainty principle
Minimal length uncertainty
Maximal momentum
Cosmological constant
Online Access:http://www.sciencedirect.com/science/article/pii/S0370269317303726
Description
Summary:In this letter, we present two new types of D-dimensional nonperturbative Generalized Uncertainty Principle (GUP) which are predicted both a minimal length uncertainty and a maximal observable momentum. Then, using these GUPs, we study the density of states for D-dimensional spherical coordinate systems in the momentum space. Also, we investigate the cosmological constant in the presence of these GUPs and finally, compare their massless type with the ones were predicted by Kempf and Pedram in Refs. [1] and [18]. Moreover, using a more general form of the higher order GUP, once again we compare the massless cosmological constants.
ISSN:0370-2693
1873-2445

Similar Items