标题： 粒子散射在狭义相对论的声学类比中 显示英文标题

标题： Particle scattering in a sonic analogue of special relativity

摘要： 我们研究了一个在类比引力模型的平直时空极限中的粒子散射的简单玩具模型。 类比引力介质被当作一种满足克莱因-戈登方程的声子标量场，因此相对于介质中的声速$c_\mathrm{s}$具有洛伦兹对称性。 发出声子的粒子是系统之外的，不遵循声子场所遵循的声学洛伦兹对称性。 使用声音交换来操作性地测量距离和持续时间的宇宙内观察者发现，外部粒子似乎是一个声学洛伦兹破坏的粒子。 通过执行类似康普顿散射的声学类比，宇宙内观察者可以确定他们是否相对于介质运动。 如果宇宙内观察者随后正确假设外部粒子的色散关系，他们相对于介质的速度就可以被找到。 显示英文摘要

摘要： We investigate a simple toy model of particle scattering in the flat spacetime limit of an analogue-gravity model. The analogue-gravity medium is treated as a scalar field of phonons that obeys the Klein-Gordon equation and thus admits a Lorentz symmetry with respect to $c_\mathrm{s}$, the speed of sound in the medium. The particle from which the phonons are scattered is external to the system and does not obey the sonic Lorentz symmetry that the phonon field obeys. In-universe observers who use the exchange of sound to operationally measure distance and duration find that the external particle appears to be a sonically Lorentz-violating particle. By performing a sonic analogue to Compton scattering, in-universe observers can determine if they are in motion with respect to their medium. If in-universe observers were then to correctly postulate the dispersion relation of the external particle, their velocity with respect to the medium could be found.