论文标题
霍金德的演变
Schrödinger evolution of the Hawking state
论文作者
论文摘要
基于使用时间切片平滑越过地平线的ADM分解,给出了不断发展的量子辐射量量子状态的Schrödinger-Picture描述。这种治疗方法避免了跨普兰克模式的作用,可以将其视为霍金原始计算的伪像,并且还支持认为,黑洞中产生的辐射是在“量子气氛”中产生的,其厚度可与地平线大小相当,而不是远离显微镜。特别是针对Schwarzschild几何形状的二维类似物给出了明确的公式。预计该分析将推广到其他黑洞和宇宙学。所得的量子演化还为研究霍金过程的校正提供了重要的背景,这是恢复黑洞衰变的单一演变所必需的。
A Schrödinger-picture description of the evolving quantum state of Hawking radiation is given, based on an ADM decomposition using time slicings that smoothly cross the horizon. This treatment avoids requiring a role for trans-planckian modes, which can be viewed as artifacts of Hawking's original calculation, and also supports arguments that radiation from black holes is produced in a "quantum atmosphere" with thickness comparable to the horizon size, rather than microscopically far from it. Particularly explicit formulas are given for the two-dimensional analog of the Schwarzschild geometry. This analysis is expected to generalize to other black holes, and to cosmology. The resulting quantum evolution also provides important background for investigating corrections to the Hawking process, as are necessary for restoring unitary evolution of black hole decay.