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  1. NTU Theses and Dissertations Repository
  2. 理學院
  3. 物理學系
請用此 Handle URI 來引用此文件: http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/64427
完整後設資料紀錄
DC 欄位值語言
dc.contributor.advisor陳丕燊(Pisin Chen)
dc.contributor.authorHsiao-Heng Yehen
dc.contributor.author葉曉恆zh_TW
dc.date.accessioned2021-06-16T17:46:33Z-
dc.date.available2021-03-03
dc.date.copyright2020-03-03
dc.date.issued2020
dc.date.submitted2020-02-27
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dc.identifier.urihttp://tdr.lib.ntu.edu.tw/jspui/handle/123456789/64427-
dc.description.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。zh_TW
dc.description.abstractThe 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.en
dc.description.provenanceMade available in DSpace on 2021-06-16T17:46:33Z (GMT). No. of bitstreams: 1
ntu-109-R06222077-1.pdf: 2678029 bytes, checksum: 3dfe0ee1ea3b9be6582a77df20e708a0 (MD5)
Previous issue date: 2020
en
dc.description.tableofcontents口試委員會審定書 iii
Acknowledgements v
vii
Abstract ix
1 Introduction 1
2 Power spectrum from the no-boundary wave function 5
2.1 TheHartle-Hawkingno-boundaryproposal . . . . . . . . . . . . . . . . 5
2.2 Harmonicexpansioninacloseduniverse ................. 7
2.3 Calculatingcosmologicalobservables ................... 9
3 Numerical solution and connection with CMB observations 11
3.1 Solvingequations.............................. 11
3.2 Starobinskymodel ............................. 13
3.3 ModifiedStarobinskymodel ........................ 14
3.4 ConnectionwiththeCMBspectrum .................... 18
4 Conclusion 23
5 Appendix 25
Bibliography 31
dc.language.isoen
dc.title以複數化瞬子當作宇宙形成之初始條件zh_TW
dc.titleComplex Instanton as the Initial Condition of the Universeen
dc.typeThesis
dc.date.schoolyear108-1
dc.description.degree碩士
dc.contributor.oralexamcommittee陳俊瑋(Jiunn-Wei Chen),賀培銘(Pei-Ming Ho),陳哲佑(Che-Yu Chen)
dc.subject.keywordHartle-Hawking波函數,Starobinsky模型,原始功率譜,封閉宇宙,宇宙微波背景輻射大尺度抑制,zh_TW
dc.subject.keywordHartle-Hawking wave function,Starobinsky model,primordial power spectrum,closed universe,CMB large scale suppression,en
dc.relation.page33
dc.identifier.doi10.6342/NTU202000557
dc.rights.note有償授權
dc.date.accepted2020-02-27
dc.contributor.author-college理學院zh_TW
dc.contributor.author-dept物理學研究所zh_TW
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