论文标题
由于零点长度
Entropic corrections to Friedmann equations and bouncing universe due to the zero-point length
论文作者
论文摘要
我们采用Verlinde的熵力情景来提取改良的Friedmann方程，并考虑到重力势的零点长度校正。启动由于零点长度而导致的修饰重力电势，我们首先找到对熵表达式的对数校正，然后得出修改的弗里德曼方程。有趣的是，我们观察到校正后的弗里德曼方程与Braneworld场景中的弗里德曼方程相似。此外，从校正后的弗里德曼方程式中，我们指出了与古普原理的可能联系，这可能会对哈勃张力产生影响。为此，我们讨论了零点长度效果下量表因子的演变。最后，考虑到最小的长度是普朗克顺序，我们获得了临界密度和弹跳行为，其临界密度和最小比例因子是普朗克长度的顺序。
We employ Verlinde's entropic force scenario to extract the modified Friedmann equations by taking into account the zero-point length correction to the gravitational potential. Starting form the modified gravitational potential due to the zero-point length, we first find the logarithmic corrections to the entropy expression and then we derive the modified Friedman equations. Interestingly enough, we observe that the corrected Friedmann equations are similar to the Friedmann equations in braneworld scenario. In addition, from the corrected Friedmann equations, we pointed out a possible connection to the GUP principle which might have implications on the Hubble tension. To this end, we discuss the evolution of the scale factor under the effect of zero-point length. Finally, having in mind that the minimal length is of the Planck order, we obtain the critical density and the bouncing behavior of the universe with a critical density and a minimal scale factor of the order of Planck length.
