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完整後設資料紀錄
DC 欄位 | 值 | 語言 |
---|---|---|
dc.contributor.advisor | 賀培銘 | zh_TW |
dc.contributor.advisor | Pei-Ming Ho | en |
dc.contributor.author | 王正宗 | zh_TW |
dc.contributor.author | Cheng-Tsung Wang | en |
dc.date.accessioned | 2024-01-26T16:12:22Z | - |
dc.date.available | 2024-04-03 | - |
dc.date.copyright | 2024-01-26 | - |
dc.date.issued | 2024 | - |
dc.date.submitted | 2024-01-16 | - |
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dc.identifier.uri | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/91371 | - |
dc.description.abstract | 我們重新探討了在一個坍縮形成的史瓦茲黑洞上的霍金輻射與具有局域勞倫茲對稱性破缺或存在最小長度的紫外物理間的關係。在兩種情況下,擾亂時間(scrambling time)之後的霍金輻射皆受到了重大的修正,也反應了其紫外敏感性。取決於奇異點上的物理,在修正色散關係下的霍金輻射可能在晚期被大幅度的抑制,其背後之物理是出奇的穿隧效應。在廣義不確定原理之下,因為霍金波包的尺寸已超越黑洞之尺寸,霍金輻射不再依賴於安魯真空,而所以其強度銳減。儘管晚期的霍金輻射在兩種紫外物理下皆收到了大的抑遏,霍金溫度依然保持不變或只受到了微擾性的修正。 | zh_TW |
dc.description.abstract | We reexamined the connection between the Hawking radiation of a Schwarzschild black hole formed from collapse and ultraviolet(UV) physics with the local Lorentz symmetry violation or the existence of a minimal length. Significant modifications are reported after the scrambling time in both cases, which reflects the UV sensitivity of Hawking radiation. Depending on the physics at the singularity, Hawking radiation with the modified dispersion relation may be largely suppressed with a striking tunneling phenomenon behind. The Hawking wavepacket may exceed the size of the black hole under the generalized uncertainty principle that it longer employs the near horizon Unruh vacuum with a diminishing Hawking radiation amplitude. While a turned-off effect is shared in these two implementations, the Hawking temperature remains the same or only perturbatively corrected. | en |
dc.description.provenance | Submitted by admin ntu (admin@lib.ntu.edu.tw) on 2024-01-26T16:12:22Z No. of bitstreams: 0 | en |
dc.description.provenance | Made available in DSpace on 2024-01-26T16:12:22Z (GMT). No. of bitstreams: 0 | en |
dc.description.tableofcontents | 口試委員會審定書 i
謝辭 ii 中文摘要 iii 英文摘要 iv List of Figures viii Chapter 1 Introduction 1 Chapter 2 Brief History of Hawking Radiation, Information loss paradox, and trans-Planckian problem 4 Chapter 3 Hawking Radiation in Vaidya metric 9 3.1 Backward in Time 9 3.1.1 Approaching horizon 11 3.1.2 Exponential blue-shift and distortion of wavepacket 15 3.1.3 Particle picture and uncertainty principle 19 3.2 Particle Creation from Vacuum 21 3.2.1 Bogoliubov transformation 23 3.2.2 Inner product 25 3.2.3 Distortion mixes the positive and negative frequencies 27 3.3 Hawking Radiation 28 3.3.1 Thermality 29 3.3.2 Hawking radiation as a transitional process 31 3.3.3 After srcambling time 33 Chapater 4 Hawking Radiation of Modifed Dispersion Relation 36 4.1 UV Modified Dispersion Relation 36 4.1.1 Unruh’s dumb hole and BMPS’s 𝑔(𝑝) 36 4.1.2 Action and inner product 39 4.2 Subluminal Monotonic Dispersion Relation 40 4.2.1 Hawking quanta and normalization 42 4.2.2 Trans-Planckian distance within horizon 45 4.2.3 Robustness of Hawking radiation 51 4.3 Subluminal Non-Monotonic Dispersion Relation 55 4.3.1 Bouncing off horizon 56 4.3.2 Tunneling across horizon 59 4.3.3 Late-time turned-off and UV sensitivity 61 Chapater 5 Hawking Radiation of Generalized Uncertainty Principle 69 5.1 Generalized Uncertainty Principle 69 5.2 GUP in Vaidya coordinates 71 5.2.1 Solve equation 72 5.2.2 Non-conservation of norm and late-time turned-off 75 5.2.3 Leave from Unruh vacuum 77 5.3 GUP in Freely Falling Frame 81 5.3.1 Gullstrand-Painleve coordinates 81 5.3.2 GUP modified free-fall vacuum 84 5.3.3 Late-time turned-off 87 Chapter 6 Conclusion 91 Bibliography 94 Appendix A Fourier Transformation of the Momentum space solution 107 Appendix B Calculation of the Inner Product 110 Appendix C A Detailed Study of 𝑔(𝑝) = 𝑝/(1 + 𝑝2⁄𝛬2)117 C.1 Solve EOM 117 C.1.1 In position space 117 C.1.2 In momentum space 126 C.1.3 Flux 131 C.2 Wavepacket Description 136 C.2.1 Particle Picture 138 C.2.2 Wave Picture 139 C.3 Hawking Radiation 141 | - |
dc.language.iso | en | - |
dc.title | 晚期霍金輻射的紫外起源 | zh_TW |
dc.title | UV Origin of Late-Time Hawking Radiation | en |
dc.type | Thesis | - |
dc.date.schoolyear | 112-1 | - |
dc.description.degree | 碩士 | - |
dc.contributor.oralexamcommittee | 川合光;太田信義 | zh_TW |
dc.contributor.oralexamcommittee | Hikaru Kawai;Nobuyoshi Ohta | en |
dc.subject.keyword | 霍金輻射,量子黑洞,修正色散關係,廣義不確定原理,霍金溫度, | zh_TW |
dc.subject.keyword | Hawking Radiation,quantum black hole,modified dispersion relation,generalized uncertainty principle,Hawking temperature, | en |
dc.relation.page | 152 | - |
dc.identifier.doi | 10.6342/NTU202400085 | - |
dc.rights.note | 同意授權(全球公開) | - |
dc.date.accepted | 2024-01-18 | - |
dc.contributor.author-college | 理學院 | - |
dc.contributor.author-dept | 物理學系 | - |
顯示於系所單位: | 物理學系 |
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