标题： 重新审视扩散复杂度率与径向动量之间的关系 显示英文标题

标题： Revisit the relationship between spread complexity rate and radial momentum

摘要： 本文讨论了在AdS/CFT框架下，边界扩散复杂度率与体内的径向动量之间的关系。 我们证明了自由下落粒子的径向动量，由体内的静止观测者测量，等于边界共形场论的扩散复杂度率。 对于一个质量粒子（无论具体质量如何），该粒子在$t=0$处位于渐近边界且速度为零。 此外，我们提供了一种利用光学几何从径向动量获得扩散复杂度的简单方法。 显示英文摘要

摘要： This article discusses the relationship between the boundary spread complexity rate and the radial momentum in the bulk within the framework of AdS/CFT. We demonstrate that the radial momentum of a freely falling particle, as measured by a stationary observer in the bulk, is equal to the spread complexity rate of the boundary conformal field theory. For a massive particle (no matter what the specific mass is), the particle is located at the asymptotic boundary with zero velocity at $t=0$. Additionally, we provide a simple method for obtaining spread complexity from radial momentum using optical geometry.