Quantum fluctuations of the light cone in four-dimensional spacetime with parallel plane boundaries
Quantum fluctuations of the light cone in four-dimensional spacetime with parallel plane boundaries
复制标题
DOI：
10.1103/physrevd.68.084019
复制
发表时间：
2003-08
影响因子：
5
通讯作者：
Hongwei Yu;Puxun Wu
中科院分区：
文献类型：
--
作者：
Hongwei Yu;Puxun Wu
在具有两个平行平面的四维时空中研究了光锥的量子涨落。Dirichlet和Neumann边界条件都被考虑。在我们所研究的所有情况下，量子光锥涨落在施加诺依曼边界条件的地方都更大，这表明量子光锥涨落不仅像在其他地方所讨论的那样取决于时空的几何和拓扑，而且还取决于边界条件。我们的结果还表明，量子光锥的起伏在这里比在单一的平面的情况下更大。因此，由于第二个平面的存在，引力子被限制在一个较小的区域内，这加强了量子涨落，这可以理解为不确定性原理的结果。
Quantum fluctuations of the light cone are examined in a four-dimensional spacetime with two parallel planes. Both the Dirichlet and the Neumann boundary conditions are considered. In all the cases we have studied, quantum light cone fluctuations are greater where the Neumann boundary conditions are imposed, suggesting that quantum light cone fluctuations depend not only on the geometry and topology of the spacetime as has been argued elsewhere but also on boundary conditions. Our results also show that quantum light cone fluctuations are larger here than that in the case of a single plane. Therefore the confinement of gravitons in a smaller region by the presence of a second plane reinforces the quantum fluctuations and this can be understood as a consequence of the uncertainty principle.