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| DC 欄位 | 值 | 語言 |
|---|---|---|
| dc.contributor.advisor | 陳丕燊 | zh_TW |
| dc.contributor.advisor | Pisin Chen | en |
| dc.contributor.author | 林冠男 | zh_TW |
| dc.contributor.author | Kuan-Nan Lin | en |
| dc.date.accessioned | 2025-07-02T16:08:26Z | - |
| dc.date.available | 2025-07-03 | - |
| dc.date.copyright | 2025-07-02 | - |
| dc.date.issued | 2025 | - |
| dc.date.submitted | 2025-06-18 | - |
| dc.identifier.citation | [1] Kuan-Nan Lin, Evgenii Ievlev, Michael RR Good, and Pisin Chen. Classical acceleration temperature from evaporated black hole remnants and accelerated electron mirror radiation. The European Physical Journal C, 84(6):641, 2024.
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| dc.identifier.uri | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/97490 | - |
| dc.description.abstract | 本論文主要由三個與量子重力相關的篇章所組成。在第一部分，我們以平坦 時空中的相對論性飛翔鏡來類比彎曲時空中的黑洞所輻射出的半古典霍京輻射。 然而，要把傳統的相對論性飛翔鏡應用到現實的實驗中，有幾件事項需要新的擴 展。我們研究該如何把鏡子的反射率、幾何形狀、以及不同的時空維度納入考 量。這些考量對於未來的實驗設計至關重要。
在本論文的第二個部分，我們研究歐幾里德氏量子宇宙學。在歐氏量子宇宙 學中，我們所生存的宇宙的誕生可以藉由無中生有來解釋。此外，憑藉量子效應 而凝結出的多重宇宙可以藉由歐氏蟲洞建立起彼此的連結。我們研究了歐氏蟲洞 對於原初宇宙的起始條件的影響，以及蟲洞兩端的宇宙之間的量子糾纏對於觀測 天文學中的宇宙微波背景輻射所可能遺留的訊號特徵。 在本論文的最終章，我們將在歐氏量子宇宙學中學到的技巧應用到黑洞蒸發 來解決黑洞資訊悖論。我們將黑洞蒸發想像成一個衰變過程，而這衰變正是藉由 凝結時空泡膜所達成的。凝結出的時空泡膜不再具有黑洞，並且原本半古典霍京 輻射的量子糾纏對可以藉由時空泡膜的擴張而被原本黑洞外的觀察者所觀察到， 進而提供一種另類解決黑洞資訊悖論的方法。 | zh_TW |
| dc.description.abstract | This thesis mainly consists of three pieces related to quantum gravity. In the first part, we first investigate the semiclassical black hole Hawking radiation with the conventional relativistic flying mirror model in flat spacetime, which is one of the earliest analogue gravity models proposed right after the discovery of Hawking radiation. We subsequently make extension of the flying mirror model to incorporate the effects of the mirror’s non-trivial reflectivity and geometry in higher spacetime dimension, which are essential for laboratory experiments.
The second part of the thesis investigates quantum cosmology with the Euclidean approach, in which the cosmological singularity is resolved by considering the universe as a nucleation of something from nothing. In Euclidean quantum cosmology, nucleated multiverse can be bridged by a Euclidean wormhole. We investigate the effect of the wormhole on the initial condition of the perturbation of inflaton, and we search for the imprint of the quantum entanglement across the wormhole in the observed cosmic microwave background power spectrum. In the final part of this thesis, we apply the Euclidean approach learned in quantum cosmology to the black hole information loss paradox. In particular, we consider a black hole to decay by nucleating a spacetime bubble without black holes. The entangled pair of the Hawking radiation will be released along with the expansion of the bubble, which provides an alternative scenario for resolving the long-standing information paradox. | en |
| dc.description.provenance | Submitted by admin ntu (admin@lib.ntu.edu.tw) on 2025-07-02T16:08:26Z No. of bitstreams: 0 | en |
| dc.description.provenance | Made available in DSpace on 2025-07-02T16:08:26Z (GMT). No. of bitstreams: 0 | en |
| dc.description.tableofcontents | PhD Dissertation Acceptance Certificate i
致謝 iii 中文摘要 vii Abstract ix Contents xi List of Figures xv List of Tables xxiii 1 Introduction 1 2 Quantum radiation by classical black holes and flying mirrors 7 2.1 Unifying the notions of particle creation...........................7 2.2 Generic recipe of particle creation...........................9 2.3 Analogue black holes...........................22 2.4 Black holes as mirrors...........................24 2.4.1 Mimicking black hole radiation with a perfect mirror..............27 2.4.2 Flying mirrors with generic reflectivity in (1+1)-dimensions..............33 2.5 Laboratory black holes with flying mirrors...........................42 2.5.1 Semitransparent mirror in (3+1)-dimensions..............42 2.5.2 Bogoliubov transformation..............46 2.5.3 Geometry of the mirror..............52 2.5.4 Analogue Hawking radiation spectrum..............54 3 Cosmological singularity and the origin of the Universe 65 3.1 Euclidean wormhole as the origin of α-vacua...........................65 3.1.1 The elegant complex Universe..............66 3.1.2 On-shell wave function of the Universe..............71 3.1.3 No-boundary instanton vs. Bunch-Davies vacuum..............74 3.1.4 Massaging vacua with Euclidean wormholes..............81 3.1.5 Euclidean wormhole vs. α-vacua..............84 3.1.6 Primordial power spectrum in the heaven..............87 3.2 Physics101: a simple harmonic oscillator...........................95 3.2.1 Euclidean path integral quantization..............95 3.2.2 Canonical operator quantization..............98 3.3 Entanglement across the wormhole bridge...........................105 3.3.1 Wormhole cosmology as a simple harmonic oscillator..............106 3.3.2 Tails of wormholes in the inflaton power spectrum..............114 3.3.3 A brief history of the Universe: from the past to the present..............118 3.3.4 Searching for quantum wormholes in the CMB sky..............124 3.3.5 Emergence of non-standard α-vacua..............133 3.3.6 No wormhole, no entanglement..............135 4 Black hole singularity and the fate of black holes 139 4.1 Black hole information loss paradox...........................139 4.2 False vacuum decay vs. spacetime decay...........................150 4.3 Partition of spacetime...........................152 4.4 Junction conditions and the tunneling of thin shell...........................154 4.5 Spacetime bubble with a static and critical thin shell boundary...........................159 4.5.1 Decay of a Schwarzschild black hole to AdS..............164 4.5.2 Decay of a Schwarzschild black hole to SAdS..............169 4.5.3 Sequential decay of black holes to trivial spacetimes..............181 4.6 Decay rates of black holes...........................184 4.6.1 Euclidean action (instanton) of seed configurations..............184 4.6.2 Decay rates of multiple periods and channels..............185 4.6.3 Resolving the information paradox with spacetime bubbles..............186 5 Conclusion 197 Appendix A-Unit conversion 201 Appendix B-Alternative analytic wormhole solution 203 B.1 Analytic model..............203 B.2 Other cases..............205 Appendix C-Reduced density matrix calculation 207 C.1 Two-point function..............207 C.2 Entanglement entropy..............208 Bibliography 209 | - |
| dc.language.iso | en | - |
| dc.subject | 歐幾里德氏量子宇宙學 | zh_TW |
| dc.subject | 量子重力 | zh_TW |
| dc.subject | 相對論性飛翔鏡 | zh_TW |
| dc.subject | 黑洞 | zh_TW |
| dc.subject | 霍京輻射 | zh_TW |
| dc.subject | 反射率 | zh_TW |
| dc.subject | 幾何 | zh_TW |
| dc.subject | 高維時空維度 | zh_TW |
| dc.subject | 量子宇宙學 | zh_TW |
| dc.subject | 奇異點 | zh_TW |
| dc.subject | 凝結 | zh_TW |
| dc.subject | 無中生有 | zh_TW |
| dc.subject | 多重宇宙 | zh_TW |
| dc.subject | 歐氏蟲洞 | zh_TW |
| dc.subject | 起始條件 | zh_TW |
| dc.subject | 量子糾纏 | zh_TW |
| dc.subject | 宇宙微波背景輻射 | zh_TW |
| dc.subject | 黑洞蒸發 | zh_TW |
| dc.subject | 資訊悖論 | zh_TW |
| dc.subject | 衰變 | zh_TW |
| dc.subject | 時空泡膜 | zh_TW |
| dc.subject | Hawking radiation | en |
| dc.subject | reflectivity | en |
| dc.subject | geometry | en |
| dc.subject | higher spacetime dimension | en |
| dc.subject | quantum cosmology | en |
| dc.subject | singularity | en |
| dc.subject | nucleation | en |
| dc.subject | something from nothing | en |
| dc.subject | Euclidean quantum cosmology | en |
| dc.subject | multiverse | en |
| dc.subject | Euclidean wormhole | en |
| dc.subject | initial condition | en |
| dc.subject | quantum entanglement | en |
| dc.subject | cosmic microwave background | en |
| dc.subject | black hole evaporation | en |
| dc.subject | information paradox | en |
| dc.subject | decay | en |
| dc.subject | spacetime bubble | en |
| dc.subject | Quantum gravity | en |
| dc.subject | relativistic flying mirror | en |
| dc.subject | black hole | en |
| dc.title | 量子重力場三重奏: 從飛翔鏡、蟲洞橋、到黑洞蒸發 | zh_TW |
| dc.title | Three Tales/Tails of Quantum Gravity: From Flying Mirrors, Wormhole Bridges, to Evaporation of Black Holes | en |
| dc.type | Thesis | - |
| dc.date.schoolyear | 113-2 | - |
| dc.description.degree | 博士 | - |
| dc.contributor.oralexamcommittee | 陳俊瑋;陳江梅;沈家賢;Daniel Baumann;Dong-han Yeom;Masahiro Hotta | zh_TW |
| dc.contributor.oralexamcommittee | Jiunn-Wei Chen;Chiang-Mei Chen;Chia-Hsien Shen;Daniel Baumann;Dong-han Yeom;Masahiro Hotta | en |
| dc.subject.keyword | 量子重力,相對論性飛翔鏡,黑洞,霍京輻射,反射率,幾何,高維時空維度,量子宇宙學,奇異點,凝結,無中生有,歐幾里德氏量子宇宙學,多重宇宙,歐氏蟲洞,起始條件,量子糾纏,宇宙微波背景輻射,黑洞蒸發,資訊悖論,衰變,時空泡膜, | zh_TW |
| dc.subject.keyword | Quantum gravity,relativistic flying mirror,black hole,Hawking radiation,reflectivity,geometry,higher spacetime dimension,quantum cosmology,singularity,nucleation,something from nothing,Euclidean quantum cosmology,multiverse,Euclidean wormhole,initial condition,quantum entanglement,cosmic microwave background,black hole evaporation,information paradox,decay,spacetime bubble, | en |
| dc.relation.page | 224 | - |
| dc.identifier.doi | 10.6342/NTU202501170 | - |
| dc.rights.note | 同意授權(全球公開) | - |
| dc.date.accepted | 2025-06-19 | - |
| dc.contributor.author-college | 理學院 | - |
| dc.contributor.author-dept | 物理學系 | - |
| dc.date.embargo-lift | 2025-07-03 | - |
| 顯示於系所單位： | 物理學系 | |
文件中的檔案：
| 檔案 | 大小 | 格式 | |
|---|---|---|---|
| ntu-113-2.pdf | 4.93 MB | Adobe PDF | 檢視/開啟 |
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