论文标题

关于黑洞和浴缸涡流之间的类比

On the analogy between black holes and bathtub vortices

论文作者

Patrick, Sam

论文摘要

类似思维是理论物理学中有价值的工具,因为它使我们能够将我们在一个系统中开发的理解并将其应用于另一个系统中。在本论文中,我们研究了两个看似不太可能的系统之间的类比:旋转黑洞,难以捉摸的宇宙实体,这些实体将我们对现代物理学的理论理解推向其极限和浴缸涡流,这是如此常见,以至于几乎所有家庭中都可以观察到它们。尽管这两个系统之间有明显的差异,但我们认为每个系统都可以用来学习有关另一个的东西。 我们研究了浅水中的表面波传播与有效时空上无质量标量场的传播之间的等效性,尤其集中在旋转的黑洞几何形状上,该几何形状由旋转的排水涡流流提供。使用此类比,我们首次验证了在实验室实验中也发生了旋转黑洞周围发生的三种效应。这些是超高,这是一种能量增强过程,波浪从系统中提取旋转能量,准正常环,描述了系统朝着平衡的放松,以及逆变,从而介导了波动和它们所经历的背景之间的能量交换。

Analogical thinking is a valuable tool in theoretical physics, since it allows us to take the understanding we have developed in one system and apply it to another. In this thesis, we study the analogy between two seemingly unlikely systems: rotating black holes, elusive cosmic entities that push our theoretical understanding of modern physics to its limits, and bathtub vortices, an occurrence so common that they can be observed on a day-to-day basis in almost any household. Despite the clear difference between these two systems, we argue that lessons from each can be used to learn something about the other. We investigate the equivalence between surface wave propagation in shallow water and the propagation of a massless scalar field on an effective spacetime, focussing in particular on the rotating black hole geometry sourced by a rotating draining vortex flow. Using this analogy, we verify for the first time that three effects predicted to occur around rotating black holes also occur in a laboratory experiment. These are superradiance, an energy enhancement process whereby waves extract rotational energy from the system, quasi-normal ringing, describing the relaxation of the system toward equilibrium, and the backreaction, which mediates the exchange of energy between fluctuations and the background they experience.

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