论文标题
黑洞内的量子克隆
Quantum clones inside black holes
论文作者
论文摘要
提出了一种系统的程序,以更好地理解黑洞的进化定律。我们从Penrose图中的两个相反区域的I和II开始,并使用量子粒子中夏皮罗效应较早得出的代数来研究这些区域中物质的演变。由于该时空有两个不同的渐近区域,因此必须假设有一种机制可以减少状态数量。在较早的工作中,我们提出II区描述了区域I的角度对抗植物,即“抗死识别”,但这最终导致了矛盾。我们更简单的建议是,II区域中定义的所有状态都是区域I的精确量子克隆。这表明如何通过可观察到的所有量子状态来更精确地恢复单位性,此外建议将可能对其他黑洞结构进行概括。一个明显的并发症是,波函数必须以纯粹的反对称性,虚拟值的哈密顿量进化,但是在对量子力学的现实解释中,这种并发症可以很好地理解。
A systematic procedure is proposed for better understanding the evolution laws of black holes in terms of pure quantum states. We start with the two opposed regions I and II in the Penrose diagram, and study the evolution of matter in these regions, using the algebra derived earlier from the Shapiro effect in quantum particles. Since this spacetime has two distinct asymptotic regions, one must assume that there is a mechanism that reduces the number of states. In earlier work we proposed that region II describes the angular antipodes of region I, the `antipodal identification', but this eventually leads to contradictions. Our much simpler proposal is now that all states defined in region II are exact quantum clones of those in region I. This indicates more precisely how to restore unitarity by making all quantum states observable, and in addition suggests that generalisations towards other black hole structures will be possible. An apparent complication is that the wave function must evolve with a purely antisymmetric, imaginary-valued Hamiltonian, but this complication can be well-understood in a realistic interpretation of quantum mechanics.