-
In accordance with the holographic principle， by calculating the entropy of the quantum field just on the event horizon of the Gibbons-Maeda dilaton black hole， the holographic entropy and the Bekenstein-Hawking entropy of the black hole are obtained. By using the non-commutative quantum field theory， the divergence of the state density near the event horizon in usual quantum field theory is removed and the ultraviolet cutoff in the heat gas method of black hole entropy is avoided.Using the residue theorem, the integral difficulty in the calculation is overcome and the results here are obtained quantitatively. The results show that black hole entropy is identical with the statistical entropy of the quantum states at the horizon. Black hole entropy may be obtained by calculating the quantum states only at the event horizon, and in the calculation the influences of quantum states outside the horizon should be avoided.
-
Keywords:
- black hole entropy/
- holographic principle/
- event horizon/
- non-commutative quantum field theory
[1] [2] [3] [4] [5] [6] [7] [8] [9] [10] [11] [12] [13] [14] [15] [16] [17] [18] [19] [20] [21] [22] [23] [24] [25] [26] [27] [28] [29] [30] [31] [32] [33] [34] [35] -
[1] [2] [3] [4] [5] [6] [7] [8] [9] [10] [11] [12] [13] [14] [15] [16] [17] [18] [19] [20] [21] [22] [23] [24] [25] [26] [27] [28] [29] [30] [31] [32] [33] [34] [35] -
[1] 杨维. $\mathbf{S}\mathbf{L}\left(\boldsymbol{n}, \boldsymbol{R}\right)$ 户田黑洞的隧穿效应. 必威体育下载 , 2023, 72(1): 010401.doi:10.7498/aps.72.20221415[2] 杨学军, 赵峥.无截断薄膜模型与Dirac场的黑洞熵. 必威体育下载 , 2011, 60(6): 060401.doi:10.7498/aps.60.060401 [3] 杨学军, 赵峥.砖墙模型不能给出黑洞熵. 必威体育下载 , 2011, 60(8): 080402.doi:10.7498/aps.60.080402 [4] 张丽春, 胡双启, 李怀繁, 赵 仁.轴对称黑洞的量子统计熵. 必威体育下载 , 2008, 57(6): 3328-3332.doi:10.7498/aps.57.3328 [5] 赵 仁, 张丽春, 胡双启.黑洞的统计熵. 必威体育下载 , 2006, 55(8): 3902-3905.doi:10.7498/aps.55.3902 [6] 张建华, 张青松.高自旋场对Vaidya-Bonner黑洞熵的贡献. 必威体育下载 , 2005, 54(11): 5500-5503.doi:10.7498/aps.54.5500 [7] 苏九清, 李传安.高自旋场对静态球对称黑洞熵的贡献. 必威体育下载 , 2005, 54(2): 530-533.doi:10.7498/aps.54.530 [8] 刘成周.动态广义球对称含荷黑洞的量子熵. 必威体育下载 , 2005, 54(5): 1977-1981.doi:10.7498/aps.54.1977 [9] 王波波.环面黑洞背景下量子场的熵. 必威体育下载 , 2004, 53(7): 2401-2406.doi:10.7498/aps.53.2401 [10] 韩亦文, 洪 云.Schwarzschild-de-Sitter黑洞宇宙视界量子态的熵. 必威体育下载 , 2004, 53(10): 3270-3273.doi:10.7498/aps.53.3270 [11] 张丽春, 赵 仁.Sen黑洞熵与能斯特定理. 必威体育下载 , 2004, 53(2): 362-366.doi:10.7498/aps.53.362 [12] 王钢柱, 王纪龙.缓变动态Kerr-Newman黑洞的量子热力学性质. 必威体育下载 , 2004, 53(6): 1669-1674.doi:10.7498/aps.53.1669 [13] 米丽琴.Anti-de Sitter时空中黑洞量子熵的发散结构. 必威体育下载 , 2004, 53(7): 2065-2068.doi:10.7498/aps.53.2065 [14] 李固强.自旋场对Barriola-vilenkin黑洞熵的量子修正. 必威体育下载 , 2003, 52(6): 1346-1349.doi:10.7498/aps.52.1346 [15] 孟庆苗, 苏九清, 李传安.球对称动态黑洞Dirac场的统计熵. 必威体育下载 , 2003, 52(7): 1822-1826.doi:10.7498/aps.52.1822 [16] 李传安, 魏显起, 孟庆苗, 刘景伦.动态广义球对称含荷黑洞的统计熵. 必威体育下载 , 2002, 51(9): 2173-2176.doi:10.7498/aps.51.2173 [17] 赵仁, 张丽春.Kerr-Newman黑洞的统计熵. 必威体育下载 , 2002, 51(6): 1167-1170.doi:10.7498/aps.51.1167 [18] 赵仁, 张丽春.Reissner-Nordstrom几何中标量场的统计熵与能斯特定理. 必威体育下载 , 2001, 50(6): 1015-1018.doi:10.7498/aps.50.1015 [19] 赵仁, 张丽春.Kim黑洞熵与能斯特定理. 必威体育下载 , 2001, 50(4): 593-596.doi:10.7498/aps.50.593 [20] 李传安.黑洞的视界面公式. 必威体育下载 , 2000, 49(8): 1648-1651.doi:10.7498/aps.49.1648
计量
- 文章访问数:9253
- PDF下载量:953
- 被引次数:0
下载: