标题： 随机暴胀与德西特时空中的熵界限 显示英文标题

标题： Stochastic inflation and entropy bound in de Sitter spacetime

摘要： 我们研究宇宙暴胀期间德西特时空的熵动力学。 德西特时空中的宇宙视界，限制了观察者可因果访问的区域，表现出类似于黑洞事件视界的热力学特性。 根据全息原理，一个因果关联区域内的熵被其表面积所限制。 然而，在永恒暴胀阶段，这一熵界限被违反。 为了从量子信息的角度解决这些违反情况，我们采用随机方法来研究宇宙暴胀。 具体而言，我们分析了标量场的概率分布的香农熵，这反映了随机暴胀中哈勃尺度区域的纠缠熵的行为。 利用标量场的体积加权概率分布，我们展示了德西特时空中的显著熵行为。 显示英文摘要

摘要： We investigate the entropy dynamics of de Sitter spacetime during the inflationary phase. The cosmological horizon in de Sitter spacetime, which limits the causally accessible region for an observer, exhibits thermal properties similar to a black hole event horizon. According to holographic principles, the entropy within a causally connected region is bounded by its surface area. However, this entropy bound is violated during the eternal phase of inflation. To address these violations from a quantum information perspective, we adopt a stochastic approach to cosmic inflation. Specifically, we analyze the Shannon entropy of the inflaton field's probability distribution, which mirrors the behavior of the entanglement entropy of a Hubble-sized region in stochastic inflation. Using the volume-weighted probability distribution for the inflaton field, we demonstrate a significant entropy behavior in de Sitter spacetime.