论文标题
特殊相对论的声音类似物中的粒子散射
Particle scattering in a sonic analogue of special relativity
论文作者
论文摘要
我们研究了模拟模型的平面时空极限中的一个简单的粒子散射玩具模型。模拟 - 重力介质被视为遵守klein-gordon方程的声子的标量字段，因此在介质中的声音速度相对于$ c_ \ mathrm {s} $接受了lorentz对称性。声子散射的粒子是系统外部的，并且不遵守声子场服从的声音Lorentz对称性。使用声音交换来测量距离和持续时间的宇宙观察者发现，外部粒子似乎是洛伦兹的侵略粒子。通过执行对康普顿散射的声音类似物，宇宙观察者可以确定他们是否相对于培养基运动。如果然后宇宙观察者正确地假设外部粒子的分散关系，则可以找到它们相对于培养基的速度。
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.
