The black hole information problem beyond quantum theory
The black hole information problem beyond quantum theory
复制标题
量子理论之外的黑洞信息问题
DOI：
10.1007/s13130-012-4801-4
复制
发表时间：
2012
影响因子：
5.4
通讯作者：
O. Dahlsten
中科院分区：
文献类型：
--
作者：
Markus P. Mueller;J. Oppenheim;O. Dahlsten
黑洞熵的起源和黑洞信息问题为试图拼凑引力的量子理论提供了重要线索。到目前为止，关于这个主题的讨论大多假设在引力和量子力学的相容理论中，量子理论将是未修改的。在这里，我们研究的背景下，概括的量子理论的黑洞信息问题。特别是，我们研究黑洞的广义概率论，其中量子理论和经典概率论的特殊情况。我们计算信息逃离黑洞所需的时间，假设信息是保存的。我们发现，在一些非常一般的假设下，佩奇的论点（即在霍金光子发射一半之后，信息应该逃离黑洞）以及海登和普雷斯基尔的黑洞镜像结果（即信息可以快速逃逸）需要修改。这种修正完全取决于我们所说的与理论有关的伍特斯-哈代参数。我们发现，虽然信息在足够多的光子被发射后离开了黑洞，但在这一点上它没有出现在黑洞之外是相当普遍的--由于无隐藏定理，这在量子理论中是不可能的。信息既不在黑洞内部，也不在黑洞外部，而是离域的。我们的中心技术成果是一个信息解耦定理，在广义概率框架。
A bstractThe origin of black hole entropy and the black hole information problem provide important clues for trying to piece together a quantum theory of gravity. Thus far, discussions on this topic have mostly assumed that in a consistent theory of gravity and quantum mechanics, quantum theory will be unmodified. Here, we examine the black hole information problem in the context of generalisations of quantum theory. In particular, we examine black holes in the setting of generalised probabilistic theories, in which quantum theory and classical probability theory are special cases. We compute the time it takes information to escape a black hole, assuming that information is preserved. We find that under some very general assumptions, the arguments of Page (that information should escape the black hole after half the Hawking photons have been emitted), and the black-hole mirror result of Hayden and Preskill (that information can escape quickly) need to be modified. The modification is determined entirely by what we call the Wootters-Hardy parameter associated with a theory. We find that although the information leaves the black hole after enough photons have been emitted, it is fairly generic that it fails to appear outside the black hole at this point — something impossible in quantum theory due to the no-hiding theorem. The information is neither inside the black hole, nor outside it, but is delocalised. Our central technical result is an information decoupling theorem which holds in the generalised probabilistic framework.
影响因子：
8.6
作者：
S. Braunstein;M. Patra
通讯作者：
S. Braunstein;M. Patra