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Why gravity is not an entropic force

Shan, Gao (2010) Why gravity is not an entropic force. [Preprint]

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The remarkable connections between gravity and thermodynamics seem to imply that gravity is not
fundamental but emergent, and in particular, as Verlinde suggested, gravity is probably an entropic force. In this
paper, we will argue that the idea of gravity as an entropic force is debatable. It is shown that there is no
convincing analogy between gravity and entropic force in Verlinde’s example. Neither holographic screen nor test
particle satisfies all requirements for the existence of entropic force in a thermodynamics system. As a result, there is no entropic force in the gravity system. Furthermore, we show that the entropy increase of the screen is not caused by its statistical tendency to increase entropy as required by the existence of entropic force, but in fact caused by gravity. Therefore, Verlinde’s argument for the entropic origin of gravity is problematic. In addition, we argue that the existence of a minimum size of spacetime, together with the Heisenberg uncertainty principle in quantum theory, may imply the fundamental existence of gravity as a geometric property of spacetime. This provides a further support for the conclusion that gravity is not an entropic force.

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Item Type: Preprint
Keywords: gravity; thermodynamics; entropic force; discrete spacetime
Subjects: Specific Sciences > Physics > Quantum Mechanics
Specific Sciences > Physics > Relativity Theory
Specific Sciences > Physics > Statistical Mechanics/Thermodynamics
Depositing User: Mr. Shan Gao
Date Deposited: 07 Nov 2010 15:13
Last Modified: 25 Sep 2011 14:00
Item ID: 8383

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