以複數化瞬子當作宇宙形成之初始條件

Abstract

宇宙微波背景在大尺度下的缺乏相關性可以幫助為探測宇宙暴漲 前的狀態。在本文中，我們研究基於哈妥-霍金無邊界條件的原始功率譜，該提案針對均質，各向同性和空間封閉的宇宙，該宇宙導致經典 化之後的斯塔羅賓斯基型宇宙暴漲。雖然我們發現在標準的理論中沒有大規模抑制，但我們也發現，如果將宇宙暴漲階段引入斯塔羅賓斯基型模型，則有可能充分抑制大尺度功率譜。此外，這種宇宙暴漲前的階段將有助於解釋哈妥-霍金無邊界提案中較大的 e 倍數的偏好。我們計算了宇宙微波背景輻射相關函數，並發現其結果更符合普朗克觀測實驗。這表明我們的宇宙可能是從具有小的正曲率的緊湊哈妥-霍金無邊界狀態開始的。

The lack of correlations on the large scale cosmic microwave background (CMB) anisotropy provides a potential window to probe beyond the standard inflationary scenario. In the thesis, we investigate the primordial power spectrum based on the Hartle-Hawking (HH) no-boundary proposal for a homogeneous, isotropic, and spatially-closed universe that leads to Starobinsky-type inflation after the classicalization. While we found that there is no suppression at large scales in the standard R + R2 theory, it is possible to suppress the large-scale power spectrum if a pre-inflationary stage is introduced to the Starobinsky-type model. In addition, such a pre-inflationary stage will be helpful to explain the preference of large e-foldings of the HH proposal. We calculate the C_TT correlation function and show that our proposal gives a better fit to the Planck CMB data. This suggests that our universe might have begun with a compact HH state with a small positive curvature.