arXivDaily arXiv每日学术速递 周一至周五更新
北美退伍军人节(Veterans Day),12 日无更新
arXiv 0812.2246hep-thastro-phgr-qc
收藏

暴胀后的宇宙体积与de Sitter熵

The Volume of the Universe after Inflation and de Sitter Entropy

Sergei Dubovsky, Leonardo Senatore, Giovanni Villadoro

摘要:

我们计算的概率分布后,宇宙的体积缓慢卷膨胀在永恒和非永恒的制度。远离永恒的制度的概率分布的e-折叠的数量,定义为三分之一的对数的体积,是尖锐的峰值周围的经典暴胀子轨迹的e-折叠的数量。在过渡到永恒的制度,这个概率仍然是高峰(与一阶e折叠的宽度)周围的平均值,这得到两倍大的过渡点。当一个人进入永恒状态时,体积为有限的概率迅速变得指数级小。除了开发研究永恒暴胀的技术外,我们的结果还使我们能够建立最近提出的关于非永恒区域中e折叠数量的量子推广:慢卷暴胀产生大于e^(S_dS/2)的有限体积的概率,其中S_dS是暴胀阶段结束时的de Sitter熵,小于非微扰量子引力效应引起的不确定性。这样一个界限的存在提供了一个一致性检查的想法德西特互补。

英文摘要:

We calculate the probability distribution for the volume of the Universe after slow-roll inflation both in the eternal and in the non-eternal regime. Far from the eternal regime the probability distribution for the number of e-foldings, defined as one third of the logarithm of the volume, is sharply peaked around the number of e-foldings of the classical inflaton trajectory. At the transition to the eternal regime this probability is still peaked (with the width of order one e-folding) around the average, which gets twice larger at the transition point. As one enters the eternal regime the probability for the volume to be finite rapidly becomes exponentially small. In addition to developing techniques to study eternal inflation, our results allow us to establish the quantum generalization of a recently proposed bound on the number of e-foldings in the non-eternal regime: the probability for slow-roll inflation to produce a finite volume larger than e^(S_dS/2), where S_dS is the de Sitter entropy at the end of the inflationary stage, is smaller than the uncertainty due to non-perturbative quantum gravity effects. The existence of such a bound provides a consistency check for the idea of de Sitter complementarity.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑