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  • 學位論文

晚期霍金輻射的紫外起源

UV Origin of Late-Time Hawking Radiation

指導教授 : 賀培銘

摘要


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。

並列摘要


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.

參考文獻


[1] S. W. Hawking, “Black hole explosions”, Nature 248, 30–31 (1974).
[2] S. W. Hawking, “Particle Creation by Black Holes”, Commun. Math. Phys. 43, edited by G. W. Gibbons and S. W. Hawking, [Erratum: Commun.Math.Phys. 46, 206 (1976)], 199–220 (1975).
[3] C. W. Misner, K. S. Thorne, and J. A. Wheeler, Gravitation (W. H. Freeman, San Francisco, 1973).
[4] S. W. Hawking, “Breakdown of Predictability in Gravitational Collapse”, Phys. Rev. D 14, 2460–2473 (1976).
[5] R. M. Wald, “On Particle Creation by Black Holes”, Commun. Math. Phys. 45, 9–34(1975).

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