Black Holes and Cosmology in Holographic Duality and Gravitational Waves

于2020财政年度已发表两篇期刊论文：1. 1]在“Universal Upper Bound on the Inflationary Energy Scale from the Trans-Planckian Censorship Conjecture”[Phys. Rev. D 102，021301（2020）]中，我们研究了最近提出的Trans-Planckian Censorship Conjecture（TCC）对暴胀能量尺度的约束。我们发现了哈勃膨胀率H的普遍上限，它完全由再加热温度决定：H < T0/Tr，其中T0是今天的光子温度。上限可以通过具有临界状态方程参数w=-1/3的后暴胀振荡阶段或具有多个阶段的暴胀模型来饱和。在大爆炸核合成所需的最低再加热温度下，CMB尺度下张量标量比r的上限为r < 10^{-8}，这在某些弦激发的暴胀模型中可以实现。B 816（2021）136245]中，我们从具有量子修正的熵束缚，即Bousso束缚和能量条件的量子版本出发，讨论了de Sitter沼泽地和trans-Planckian审查结构（TCC）.我们考虑了准德西特时空中纠缠熵的典型贡献。TCC没有太多的修正，而德西特沼泽地猜想的能量条件的界限可以放宽，由于量子修正。

Two journal papers have been published in FY2020:1.1] In "Universal Upper Bound on the Inflationary Energy Scale from the Trans-Planckian Censorship Conjecture" [Phys. Rev. D 102, 021301 (2020)], we studied the constraint on the inflationary energy scale from the recently proposed Trans-Planckian Censorship Conjecture (TCC). We found a universal upper bound on the inflationary Hubble expansion rate H, which is solely determined by the reheating temperature: H < T0/Tr, where T0 is the photon temperature today. The upper limit can be saturated by a post-inflationary oscillatory stage with the critical equation-of-state parameter w=-1/3, or by an inflation model with multiple stages. In the lowest reheating temperature required for big bang nucleosynthesis, the upper bound on the tensor-to-scalar ratio r at the CMB scales is r < 10^{－8}, which can be realized in some string-inspired inflation models.1.2] In "Notes on the Quantum Corrections of Swampland and Trans-Planckian Censorship Conjecture" [Phys.Lett. B 816 (2021) 136245], we discussed the de Sitter swampland and trans-Planckian censorship conjectures (TCC) from the entropy bound with quantum corrections, namely quantum version of the Bousso bound and energy conditions. We included the typical contributions from the entanglement entropy in quasi-de Sitter spacetime. The TCC is not much corrected, whereas the bounds on de Sitter swampland conjecture from energy conditions can be relaxed due to quantum corrections.