相对论运动快照:特雷尔效应可视化

Dominik Hornof, Victoria Helm, Enar de Dios Rodriguez, Thomas Juffmann, Philipp Haslinger, Peter Schattschneider
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引用次数: 0

摘要

特雷尔效应是罗杰-彭罗斯(Roger Penrose)和詹姆斯-特雷尔(James Terrell)于 1959 年预言的一种光学现象,它揭示了运动物体的洛伦兹收缩在快照照片中是不可见的。利用fs激光脉冲和门控强化照相机(其成像时间可短至300 ps),我们实现了将飞行速度虚拟降低到2 m/s以下,从而实现了相对论运动物体的实时可视化。通过捕捉故意洛伦兹收缩物体反射的光线,我们的装置有效地重建了它们的视觉外观。这种说教式的可视化不仅是为了纪念安顿-兰帕(Anton Lampa)1924 年关于相对论长度收缩的开创性论文发表一百周年,而且还首次在实验室装置中提供了特雷尔效应的实验证据。我们的研究成果包括详细的相对论图解、模拟以及一个球体和一个立方体的照片快照,这两个球体和立方体以接近光速的速度运动,揭示了相对论理论所预测的明显旋转效应和扭曲现象。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
A Snapshot of Relativistic Motion: Visualizing the Terrell Effect
We present an experimental visualization of the Terrell effect, an optical phenomenon predicted in 1959 by Roger Penrose and James Terrell, which reveals that the Lorentz contraction of a moving object is not visible in a snapshot photograph. Using fs-laser pulses and a gated intensified camera that allows gating times as short as 300 ps, we achieve a virtual reduction of the speed of light to less than 2 m/s, enabling the visualisation of relativistically moving objects in real time. By capturing light reflected from deliberately Lorentz-contracted objects, our setup effectively reconstructs their visual appearance. This didactic visualization not only commemorates the centennial of Anton Lampa's seminal 1924 paper on relativistic length contraction but also provides the first experimental evidence of the Terrell effect in a laboratory setup. Our results comprise detailed relativistic illustrations, simulations and photographic snapshots of a sphere and a cube, which are animated to velocities close to the speed of light, revealing the apparent rotation effect and the distortion predicted by relativistic theory.
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