Black hole firewalls require huge energy of measurement
Black hole firewalls require huge energy of measurement
复制标题
黑洞防火墙需要巨大的测量能量
DOI：
10.1103/physrevd.89.124023
复制
发表时间：
2014
影响因子：
5
通讯作者：
Jiro Matsumoto and Ken Funo
中科院分区：
文献类型：
--
作者：
Masahiro Hotta;Jiro Matsumoto and Ken Funo
统一运动镜像模型是检验almheieet等人原始防火墙悖论推理的最佳量子系统之一[J]。高能物理学报，02 (2013):062 [j]。虽然镜面辐射的后期部分与早期部分完全纠缠在一起，但在这个模型中不存在具有致命的、巨大的平均能量通量的防火墙。这是因为在几乎最大纠缠态的离散系统的高能纠缠结构被修改，从而产生低能有效场论的正确描述。利用一般单粒子态的非局域性和零点涨落纠缠，解决了防火墙的强次可加性悖论。由于量子场论中的Reeh-Schlieder定理，在模型中进行量子远程测量时不可避免地会产生另一个防火墙悖论。我们从测量能量成本的角度来解决这个矛盾。只要测量的能量远小于紫外线截止尺度，就不会出现防火墙。
The unitary moving mirror model is one of the best quantum systems for checking the reasoning of the original firewall paradox of Almheiriet al.[J. High Energy Phys. 02 (2013) 062] in quantum black holes. Though the late-time part of radiations emitted from the mirror is fully entangled with the early part, no firewall exists with a deadly, huge average energy flux in this model. This is because the high-energy entanglement structure of the discretized systems in almost maximally entangled states is modified so as to yield the correct description of low-energy effective field theory. Furthermore, the strong subadditivity paradox of firewalls is resolved using nonlocality of general one-particle states and zero-point fluctuation entanglement. Due to the Reeh-Schlieder theorem in quantum field theory, another firewall paradox is inevitably raised with quantum remote measurements in the model. We resolve this paradox from the viewpoint of the energy cost of measurements. No firewall appears, as long as the energy for the measurement is much smaller than the ultraviolet cutoff scale.