The Case for discrete energy levels of a black hole

The Case for discrete energy levels of a black hole
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黑洞离散能级的情况

DOI:
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发表时间:
2001
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影响因子:
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通讯作者:
J. Bekenstein
J. Bekenstein
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文献类型:
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作者:
J. Bekenstein

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经典引力中黑洞视界面积的绝热不变性质表明,在量子理论中,相应的算符具有离散谱。我在这里进一步发展的代数方法,黑洞量子化,从非常基本的假设,并利用对称性的收益。它预言了所有电荷和角动量的均匀分布的面积谱。面积本征值是简并的;与黑洞熵的对应关系决定了本征值之间的间隔的精确值。
The adiabatic invariant nature of black hole horizon area in classical gravity suggests that in quantum theory the corresponding operator has a discrete spectrum. I here develop further an algebraic approach to black hole quantization which starts from very elementary assumptions, and proceeds by exploiting symmetry. It predicts a uniformly spaced area spectrum for all charges and angular momenta. Area eigenvalues are degenerate; correspondence with black hole entropy then dictates a precise value for the interval between eigenvalues.