论文标题

DSR-GUP的修改Friedmann方程

Modified Friedmann equations from DSR-GUP

论文作者

Ökcü, Özgür, Corda, Christian, Aydiner, Ekrem

论文摘要

考虑到DSR-GUP的修改熵 - 区域关系(双重相对性的不确定性原理),我们从明显的地平线上获得了热力学第一定律的修改后的Friedmann方程。由于GUP在普朗克量表上的重要性,我们研究了Friedmann方程,并在Planck量表上显示了最大能量密度\ r {HO}。由于GUP意味着最小的长度,因此我们发现了最小的明显视野,它有可能消除大爆炸奇异性。此外,我们分析了DSR-GUP对状态p =ω\ r {ho {ho}方程的减速参数q的影响和平面案例。最后,我们检查热力学的广义第二定律(GSL)的有效性,并表明它在任何空间曲率上都是有效的宇宙时代的有效。

Considering the modified entropy-area relation from DSR-GUP (Doubly special relativity-Generalized uncertainity principle), we obtain the modified Friedmann equations from the first law of thermodynamics at apparent horizon. Due to the importance of GUP at Planck scale, we investigate the Friedmann equations and show the maximum energy density \r{ho} at Planck scale. Since GUP implies a minimal length, we find a minimum apparent horizon which has a potential to remove the Big Bang singularity. Furthermore, we analyse the effects of DSR-GUP on deceleration parameter q for the equation of state p = ω\r{ho} and the flat case. Finally, we check the validity of the generalized second law (GSL) of thermodynamics and show that it is valid all eras of the Universe for any spatial curvature.

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