Modified Newton's Law of Gravitation due to Minimal Length in Quantum Gravity. (21st February 2013)

• Record Type: Journal Article
• Authors: Farag Ali, Ahmed; Tawfik, A.
• Other Names: Siopsis George Academic Editor.
• Is Part Of: Advances in high energy physics. Volume 2013(2013)
• Publication Date: 2013-02-21
• Subjects: Particles (Nuclear physics) -- Periodicals; Particles (Nuclear physics); Periodicals; 539.76
• DOI: 10.1155/2013/126528
• Languages: English
• ISSNs: 1687-7357

Abstract

Abstract : 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.