Linear and quadratic GUP, Liouville theorem, cosmological constant, and Brick Wall entropy
Abstract Motivated by the works on equivalence principle in the context of linear generalized uncertainty principle and, independently, in the context of quadratic generalized uncertainty principle, we expand these endeavors in the context of generalized uncertainty principle when both linear and qu...
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Series: | European Physical Journal C: Particles and Fields |
Online Access: | http://link.springer.com/article/10.1140/epjc/s10052-019-6908-z |
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doaj-708b97df58744c53a5f1cada2978b7862020-11-25T02:40:33ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522019-05-017951910.1140/epjc/s10052-019-6908-zLinear and quadratic GUP, Liouville theorem, cosmological constant, and Brick Wall entropyElias C. Vagenas0Ahmed Farag Ali1Mohammed Hemeda2Hassan Alshal3Theoretical Physics Group, Department of Physics, Kuwait UniversityDepartment of Physics, Faculty of Science, Benha UniversityDepartment of Mathematics, Faculty of Science, Ain Shams UniversityDepartment of Physics, Faculty of Science, Cairo UniversityAbstract Motivated by the works on equivalence principle in the context of linear generalized uncertainty principle and, independently, in the context of quadratic generalized uncertainty principle, we expand these endeavors in the context of generalized uncertainty principle when both linear and quadratic terms in momentum are include. We demonstrate how the definitions of equations of motion change upon that expansion. We also show how to obtain an analogue of Liouville theorem in the presence of linear and quadratic generalized uncertainty principle. We employ the corresponding modified invariant unit volume of phase space to discuss the resulting density of states, the problem of cosmological constant, the black body radiation in curved spacetime, the concurrent energy and consequent no Brick Wall entropy.http://link.springer.com/article/10.1140/epjc/s10052-019-6908-z |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Elias C. Vagenas Ahmed Farag Ali Mohammed Hemeda Hassan Alshal |
spellingShingle |
Elias C. Vagenas Ahmed Farag Ali Mohammed Hemeda Hassan Alshal Linear and quadratic GUP, Liouville theorem, cosmological constant, and Brick Wall entropy European Physical Journal C: Particles and Fields |
author_facet |
Elias C. Vagenas Ahmed Farag Ali Mohammed Hemeda Hassan Alshal |
author_sort |
Elias C. Vagenas |
title |
Linear and quadratic GUP, Liouville theorem, cosmological constant, and Brick Wall entropy |
title_short |
Linear and quadratic GUP, Liouville theorem, cosmological constant, and Brick Wall entropy |
title_full |
Linear and quadratic GUP, Liouville theorem, cosmological constant, and Brick Wall entropy |
title_fullStr |
Linear and quadratic GUP, Liouville theorem, cosmological constant, and Brick Wall entropy |
title_full_unstemmed |
Linear and quadratic GUP, Liouville theorem, cosmological constant, and Brick Wall entropy |
title_sort |
linear and quadratic gup, liouville theorem, cosmological constant, and brick wall entropy |
publisher |
SpringerOpen |
series |
European Physical Journal C: Particles and Fields |
issn |
1434-6044 1434-6052 |
publishDate |
2019-05-01 |
description |
Abstract Motivated by the works on equivalence principle in the context of linear generalized uncertainty principle and, independently, in the context of quadratic generalized uncertainty principle, we expand these endeavors in the context of generalized uncertainty principle when both linear and quadratic terms in momentum are include. We demonstrate how the definitions of equations of motion change upon that expansion. We also show how to obtain an analogue of Liouville theorem in the presence of linear and quadratic generalized uncertainty principle. We employ the corresponding modified invariant unit volume of phase space to discuss the resulting density of states, the problem of cosmological constant, the black body radiation in curved spacetime, the concurrent energy and consequent no Brick Wall entropy. |
url |
http://link.springer.com/article/10.1140/epjc/s10052-019-6908-z |
work_keys_str_mv |
AT eliascvagenas linearandquadraticgupliouvilletheoremcosmologicalconstantandbrickwallentropy AT ahmedfaragali linearandquadraticgupliouvilletheoremcosmologicalconstantandbrickwallentropy AT mohammedhemeda linearandquadraticgupliouvilletheoremcosmologicalconstantandbrickwallentropy AT hassanalshal linearandquadraticgupliouvilletheoremcosmologicalconstantandbrickwallentropy |
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1724780897909080064 |