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arXiv 1606.04738gr-qchep-thquant-ph
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评“量子Raychaudhuri方程”

Comment on "Quantum Raychaudhuri equation"

E. I. Lashin, Djamel Dou

备注：
5 pages, More condensed and focused than the previous long detailed version. Accepted in Phys. Rev. D
发表信息：
Phys. Rev. D 95, 068501 (2017)
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摘要：

我们解决的有效性的形式和结果在[ S。Das，Phys. Rev. { \bf D89} 084068（2014）]中关于量子Raychaudhuri方程的描述。作者将经典的测地线用由布姆力学导出的量子轨道代替，得到了所谓的量子Raychaudhuri方程。由此产生的修改后的方程被用来得出一些结论的必然性的聚焦和形成的共轭点，因此奇点。我们发现，整个过程是充满问题的点，在物理相关性和数学的正确性。特别是，我们说明了与所谓的量子Raychaudhuri方程的技术推导相关的问题，以及其无效的物理含义。

英文摘要：

We address the validity of the formalism and results presented in [ S. Das, Phys. Rev. {\bf D89} 084068 (2014)] with regard to quantum Raychaudhuri equation. The author obtained the so called quantum Raychaudhuri equation by replacing classical geodesics with quantal trajectories arising from Bhommian mechanics. The resulting modified equation was used to draw some conclusions about the inevitability of focussing and the formation of conjugate points and therefore singularity. We show that the whole procedure is full of problematic points, on both physical relevancy and mathematical correctness. In particular, we illustrate the problems associated with the technical derivation of the so called quantum Raychaudhuri equation, as well as its invalid physical implications.

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