论文标题
Casimir问题中的时间分类参数与表面张力之间的连接。相对论崩溃的相关现象
Connection between time-splitting parameter and surface tension in Casimir problems. Related phenomena in relativistic collapse of a singular shell
论文作者
论文摘要
我们讨论了与Casimir效应有关的四种不同的基本主题：1）我们建议将Casimir理论应用于真实的介电材料，从而将原子间距作为课程粒度长度参数，这使其自然地假设此参数与QFT时分离的参数相同，与QFT时差相同。 2）我们表明，卡西米尔理论在厚的流体壳中的应用（显然是封闭的机械系统），即使不是额外的机械力，通常是表面张力力，实际上会导致情况不稳定。 3）我们分析了径向Casimir排斥压力的存在如何改变无限流体中球形真空孔的填充过程（雷诺问题），结果是在有限的半径上发生了反弹。 4）作为对总体相对论显然相似的情况的评论，我们考虑了奇异外壳的重力崩溃。在这种情况下，也允许在这种情况下允许casimir压力的存在似乎很自然，从而再次获得类似弹跳的情况。但是，我们必须得出结论，这样的程序意味着省略了Casimir领域的重力能量，因此几乎不可判断，尽管值得一提。
We discuss four different, though related, fundamental topics related to the Casimir effect: 1) We suggest that the application of Casimir theory to real dielectric materials, thus implying the atomic spacing as a course-grained length parameter, makes it natural to assume that this parameter is of the same order of magnitude as the QFT time-splitting parameter multiplied with the velocity of light. 2) We show that application of Casimir theory to a thick fluid shell (apparently a closed mechanical system), leads actually to an unstable situation if not extra mechanical forces, typically surface tension forces, are brought into consideration. 3) We analyze how the presence of a radial Casimir repulsive pressure modifies the filling process of a spherical vacuum hole in an infinite fluid (the Reynolds problem), with the result that a bounce occurs at a finite though very small radius. 4) As a comment on an apparently similar situation in general relativity, we consider the gravitational collapse of a singular shell. It might seem natural to allow for the presence of a repulsive Casimir pressure in this case also, thereby obtaining a bounce-like situation again. However, we have to conclude that such a procedure implies an omission of the Casimir field's gravitational energy, and is therefore hardly tenable, although it is in our opinion worth mentioning.
