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A No-go Theorem Prohibiting Inflation in the Entropic Force Scenario · Around

2010

A No-go Theorem Prohibiting Inflation in the Entropic Force Scenario

Li, Miao, Pang, Yi

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We show that to accommodate inflation in the entropic force scenario of Verlinde, it is necessary to introduce a negative temperature on a holographic screen, this will introduce several puzzles such as energy non-conservation.

If one tries to modify the derivation of the Einstein equations to avoid a negative temperature, we prove that it is impossible to find a proper new definition of temperature to derive the Einstein equations.

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T. Jacobson, Phys. Rev. Lett. 75
1995
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T. Padmanabhan, arXiv:1001.3380 [gr-qc]. F. W. Shu and Y. Gong, arXiv:1001.3237 [gr-qc]. R. G. Cai, L. M. Cao and N. Ohta, Phys. Rev. D 81
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2010
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E. P. Verlinde, arXiv:1001.0785 [hep-th]. For a related work, see T. Padmanabhan, arXiv:0912.3165 [gr-qc]
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L. Smolin, arXiv:1001.3668 [gr-qc]. S. W. Wei, Y. X. Liu and Y. Q. Wang, arXiv:1001.5238 [hep-th]. F. Caravelli and L. Modesto, arXiv:1001.4364 [gr-qc]. Y. Zhang, Y. g. Gong and Z. H. Zhu, arXiv:1001.4677 [hep-th]. C. Gao, arXiv:1001.4585 [hep-th]. Y. Wang, arXiv:1001.4786 [hep-th]. J. W. Lee, H. C. Kim and J. Lee, arXiv:1001.5445 [hep-th]. T. Wang, arXiv:1001.4965 [hep-th]. Y. Ling and J. P. Wu, arXiv:1001.5324 [hep-th]. Y. S. Myung, arXiv:1002.0871 [hep-th]. Y. Tian and X. Wu, arXiv:1002.1275 [hep-th]. L. Zhao, arXiv:1002.0488 [hep-th]. I. V. Vancea and M. A. Santos, arXiv:1002.2454 [hep-th]. X. G. He and B. Q. Ma, arXiv:1003.2510 [hep-th]
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M. Li and Y. Wang, Phys. Lett. B 687
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2010
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