Modified Newton's Law of Gravitation due to Minimal Length in Quantum Gravity

A recent theory about the origin of the gravity suggests that the gravity is originally an entropic force. In this work, we discuss the effects of generalized uncertainty principle (GUP) which is proposed by some approaches to quantum gravity such as string theory, black hole physics, and doubly spe...

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Main Authors: Ahmed Farag Ali, A. Tawfik
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Advances in High Energy Physics
Online Access:http://dx.doi.org/10.1155/2013/126528
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author Ahmed Farag Ali
A. Tawfik
author_facet Ahmed Farag Ali
A. Tawfik
author_sort Ahmed Farag Ali
collection DOAJ
description A recent theory about the origin of the gravity suggests that the gravity is originally an entropic force. In this work, we discuss the effects of generalized uncertainty principle (GUP) which is proposed by some approaches to quantum gravity such as string theory, black hole physics, and doubly special relativity theories (DSR), on the area law of the entropy. This leads to a area -type correction to the area law of entropy which implies that the number of bits N is modified. Therefore, we obtain a modified Newton’s law of gravitation. Surprisingly, this modification agrees with different sign with the prediction of Randall-Sundrum II model which contains one uncompactified extra dimension. Furthermore, such modification may have observable consequences at length scales much larger than the Planck scale.
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spelling doaj-art-d0c66e5d2552488ca1367a28cd542e0e2025-02-03T06:00:57ZengWileyAdvances in High Energy Physics1687-73571687-73652013-01-01201310.1155/2013/126528126528Modified Newton's Law of Gravitation due to Minimal Length in Quantum GravityAhmed Farag Ali0A. Tawfik1Department of Physics, Faculty of Sciences, Benha University, Benha 13518, EgyptEgyptian Center for Theoretical Physics (ECTP), MTI University, Cairo, EgyptA recent theory about the origin of the gravity suggests that the gravity is originally an entropic force. In this work, we discuss the effects of generalized uncertainty principle (GUP) which is proposed by some approaches to quantum gravity such as string theory, black hole physics, and doubly special relativity theories (DSR), on the area law of the entropy. This leads to a area -type correction to the area law of entropy which implies that the number of bits N is modified. Therefore, we obtain a modified Newton’s law of gravitation. Surprisingly, this modification agrees with different sign with the prediction of Randall-Sundrum II model which contains one uncompactified extra dimension. Furthermore, such modification may have observable consequences at length scales much larger than the Planck scale.http://dx.doi.org/10.1155/2013/126528
spellingShingle Ahmed Farag Ali
A. Tawfik
Modified Newton's Law of Gravitation due to Minimal Length in Quantum Gravity
Advances in High Energy Physics
title Modified Newton's Law of Gravitation due to Minimal Length in Quantum Gravity
title_full Modified Newton's Law of Gravitation due to Minimal Length in Quantum Gravity
title_fullStr Modified Newton's Law of Gravitation due to Minimal Length in Quantum Gravity
title_full_unstemmed Modified Newton's Law of Gravitation due to Minimal Length in Quantum Gravity
title_short Modified Newton's Law of Gravitation due to Minimal Length in Quantum Gravity
title_sort modified newton s law of gravitation due to minimal length in quantum gravity
url http://dx.doi.org/10.1155/2013/126528
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AT atawfik modifiednewtonslawofgravitationduetominimallengthinquantumgravity