Gravity's rainbow: A bridge between LQC and DSR

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• 作者：M.A. Gorji^a ; ^{m.gorji@stu.umz.ac.ir} ; K. Nozari^a ; ^{knozari@umz.ac.ir} ; B. Vakili^b ; ^{b.vakili@iauctb.ac.ir}
• 关键词：Phenomenology of quantum gravity ; Doubly special relativity
• 刊名：Physics Letters B
• 出版年：2017
• 出版时间：10 February 2017
• 年：2017
• 卷：765
• 期：Complete
• 页码：113-119
• 全文大小：510 K
• 卷排序：765

文摘

The doubly special relativity (DSR) theories are constructed in order to take into account an observer-independent length scale in special relativity framework. Gravity's rainbow is a simple generalization of DSR theories to incorporate gravity. In this paper, we show that the effective Friedmann equations that are suggested by loop quantum cosmology (LQC) can be exactly reobtained in rainbow cosmology setup. The deformed geometry of LQC then fixes the modified dispersion relation and results in a unique DSR model. In comparison with standard LQC scenario where only the geometry is modified, both geometry and matter parts get modified in our setup. In this respect, we show that the total number of microstates for the universe is finite which suggests the statistical origin of the energy and entropy density bounds. These results explicitly show that the DSR theories are appropriate candidates for the flat limit of loop quantum gravity.