A Snapshot of Relativistic Motion: Visualizing the Terrell Effect

Fuente: arXiv
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Autores principales: Hornof, Dominik, Helm, Victoria, Rodriguez, Enar de Dios, Juffmann, Thomas, Haslinger, Philipp, Schattschneider, Peter
Formato: Preprint
Publicado: 2024
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author Hornof, Dominik
Helm, Victoria
Rodriguez, Enar de Dios
Juffmann, Thomas
Haslinger, Philipp
Schattschneider, Peter
author_facet Hornof, Dominik
Helm, Victoria
Rodriguez, Enar de Dios
Juffmann, Thomas
Haslinger, Philipp
Schattschneider, Peter
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2409_04296
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle A Snapshot of Relativistic Motion: Visualizing the Terrell Effect
Hornof, Dominik
Helm, Victoria
Rodriguez, Enar de Dios
Juffmann, Thomas
Haslinger, Philipp
Schattschneider, Peter
Optics
General Relativity and Quantum Cosmology
Physics Education
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.
title A Snapshot of Relativistic Motion: Visualizing the Terrell Effect
topic Optics
General Relativity and Quantum Cosmology
Physics Education
url https://arxiv.org/abs/2409.04296