2000 Fiscal Year Final Research Report Summary
Quantum Fluctuation of Event Horizon of Black Hole
| Project/Area Number |
10640258
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
素粒子・核・宇宙線
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| Research Institution | KYOTO UNIVERSITY |
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Principal Investigator |
SAKAGAMI Masaaki Fac.of Integrated Human studies, Kyoto University, Associated Prof., 総合人間学部, 助教授 (70202083)
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| Project Period (FY) |
1998 – 2000
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| Keywords | black hole / Hawking radiation / higher derivative / horizon / fluctuation / fluid / 流体 |
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| Research Abstract |
A black hole means a space-time region from which nobody can send a signal to observers at infinity. And this sort of the space-time can be devided into two regions : one is exterior region which is causally connected to the infinity, another is interior region (black hole). We call a boundary of abobe two region "event horizon".
However classical picture of black holes as "nothing can be emitted from the black hole" is drastically changed, if we take into account of quantum effects arround black holes. Prof.Hawking has been shown that black holes emit radiation originated by change of vacuum due to black hole formation. This so called Hawking radiation is recognized as the one of the most interesting phenomena of black hole.
The Hawking radiation is a central issue of this research project. Radiations from black holes should climb up very deep potential in order to reach infinity. It follows that even if the radiation lies in a ordinary energy range of laboratories, its energy can exceed Planck scale near the horizon. This suggests the possibility that we access the physics beyond the Planck scale by means of Hawking radiation. In this research project, we investigated how the spectrum of the radiation modified, if we introduce a higher derivative term into scalar and electromagnetic fields which seems to mimic the effect of physics beyond the planck scale. Furthermore concentrating on the role of horizon, we propose an experiment in fluid to observe the phenomena which can be recognized as a acoustic analogue of the Hawking radiation. In this case, a sonic point where velocity of fluid exeeds sound velocity carries a role of horizon in the case of black hole. Finally, from a viewpoint of the fluctuation-disspation theorem, we discuss emergence of noise term which is caused by energy-loss by Hawking radiation. This effect suggests the new perspective of black hole with a fluctuating horizon.
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