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arXiv · 2405.13040

The role of the Silberstein/Thomas/Wigner-rotation in the rod and slit paradox

Mads Vestergaard Schmidt·Erich Schoedl
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Abstract

The rod and slit paradox, as first proposed by R. Shaw, is revisited. In this paradox, a rod of rest length $l_0$ moves parallel to the horizontal x-axis. Simultaneously, a thin sheet parallel to the horizontal xz-plane with a rod-shaped slit of rest length $d < l_0$ moves along the vertical y-axis. The rod passes through the slit due to relativistic effects. Earlier papers do not link the thought experiment to the Silberstein/Thomas/Wigner-rotation (STW-rotation), which is essential to its outcome. In this paper the role of the STW-rotation is discussed, and additional clarifying figures are provided. Some misleading aspects of earlier treatments are pointed out and corrected.

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Mads Vestergaard Schmidt, Erich Schoedl. 2024-05-17. The role of the Silberstein/Thomas/Wigner-rotation in the rod and slit paradox. https://doi.org/10.1119/5.0175922

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