The Effects of Minimal Length in Entropic Force Approach

With Verlinde’s recent proposal which says that gravity can be identified with an entropic force and considering the effects of generalized uncertainty principle in the black hole entropy-area relation we derive the modified equations for Newton’s law of gravitation, modified Newtonian dynamics, and...

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Main Author: Barun Majumder
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Advances in High Energy Physics
Online Access:http://dx.doi.org/10.1155/2013/296836
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author Barun Majumder
author_facet Barun Majumder
author_sort Barun Majumder
collection DOAJ
description With Verlinde’s recent proposal which says that gravity can be identified with an entropic force and considering the effects of generalized uncertainty principle in the black hole entropy-area relation we derive the modified equations for Newton’s law of gravitation, modified Newtonian dynamics, and Einstein’s general relativity. The corrections to the Newtonian potential is compared with the corrections that come from Randall-Sundrum II model and an effective field theoretical model of quantum general relativity. The effect of the generalized uncertainty principle introduces a area type correction term in the entropy-area relation whose consequences in different scenarios are discussed.
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institution Kabale University
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spelling doaj-art-4b5a18178b9043519d1bb1e70ed12a032025-02-03T05:51:21ZengWileyAdvances in High Energy Physics1687-73571687-73652013-01-01201310.1155/2013/296836296836The Effects of Minimal Length in Entropic Force ApproachBarun Majumder0Indian Institute of Technology Gandhinagar, Ahmedabad, Gujarat 382424, IndiaWith Verlinde’s recent proposal which says that gravity can be identified with an entropic force and considering the effects of generalized uncertainty principle in the black hole entropy-area relation we derive the modified equations for Newton’s law of gravitation, modified Newtonian dynamics, and Einstein’s general relativity. The corrections to the Newtonian potential is compared with the corrections that come from Randall-Sundrum II model and an effective field theoretical model of quantum general relativity. The effect of the generalized uncertainty principle introduces a area type correction term in the entropy-area relation whose consequences in different scenarios are discussed.http://dx.doi.org/10.1155/2013/296836
spellingShingle Barun Majumder
The Effects of Minimal Length in Entropic Force Approach
Advances in High Energy Physics
title The Effects of Minimal Length in Entropic Force Approach
title_full The Effects of Minimal Length in Entropic Force Approach
title_fullStr The Effects of Minimal Length in Entropic Force Approach
title_full_unstemmed The Effects of Minimal Length in Entropic Force Approach
title_short The Effects of Minimal Length in Entropic Force Approach
title_sort effects of minimal length in entropic force approach
url http://dx.doi.org/10.1155/2013/296836
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AT barunmajumder effectsofminimallengthinentropicforceapproach