Journal
PHYSICS LETTERS B
Volume 770, Issue -, Pages 445-450Publisher
ELSEVIER
DOI: 10.1016/j.physletb.2017.05.015
Keywords
Quantum gravity; Generalized uncertainty principle; Minimal length uncertainty; Maximal momentum; Cosmological constant
Funding
- National Research Foundation of Korea Grant - Korean Government [NRF-2015R1D1A1A01057792]
- Gyeongsang National University Fund for Professors on Sabbatical Leave
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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. (C) 2017 The Author(s). Published by Elsevier B.V.
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