{"title":"西尔伯斯坦/托马斯/维格纳旋转在棒与狭缝悖论中的作用","authors":"Mads Vestergaard Schmidt, Erich Schoedl","doi":"arxiv-2405.13040","DOIUrl":null,"url":null,"abstract":"The rod and slit paradox, as first proposed by R. Shaw, is revisited. In this\nparadox, a rod of rest length $l_0$ moves parallel to the horizontal x-axis.\nSimultaneously, a thin sheet parallel to the horizontal xz-plane with a\nrod-shaped slit of rest length $d < l_0$ moves along the vertical y-axis. The\nrod passes through the slit due to relativistic effects. Earlier papers do not\nlink the thought experiment to the Silberstein/Thomas/Wigner-rotation\n(STW-rotation), which is essential to its outcome. In this paper the role of\nthe STW-rotation is discussed, and additional clarifying figures are provided.\nSome misleading aspects of earlier treatments are pointed out and corrected.","PeriodicalId":501482,"journal":{"name":"arXiv - PHYS - Classical Physics","volume":"45 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-05-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"The role of the Silberstein/Thomas/Wigner-rotation in the rod and slit paradox\",\"authors\":\"Mads Vestergaard Schmidt, Erich Schoedl\",\"doi\":\"arxiv-2405.13040\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The rod and slit paradox, as first proposed by R. Shaw, is revisited. In this\\nparadox, a rod of rest length $l_0$ moves parallel to the horizontal x-axis.\\nSimultaneously, a thin sheet parallel to the horizontal xz-plane with a\\nrod-shaped slit of rest length $d < l_0$ moves along the vertical y-axis. The\\nrod passes through the slit due to relativistic effects. Earlier papers do not\\nlink the thought experiment to the Silberstein/Thomas/Wigner-rotation\\n(STW-rotation), which is essential to its outcome. In this paper the role of\\nthe STW-rotation is discussed, and additional clarifying figures are provided.\\nSome misleading aspects of earlier treatments are pointed out and corrected.\",\"PeriodicalId\":501482,\"journal\":{\"name\":\"arXiv - PHYS - Classical Physics\",\"volume\":\"45 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-05-17\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv - PHYS - Classical Physics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/arxiv-2405.13040\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - PHYS - Classical Physics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2405.13040","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
摘要
本文重新探讨了由 R. Shaw 首次提出的棒与缝悖论。在这个悖论中，一根静止长度为 $l_0$ 的杆平行于水平 x 轴运动，与此同时，平行于水平 xz 平面的薄片沿着垂直 y 轴运动，薄片上有一个静止长度为 $d < l_0$ 的杆状狭缝。由于相对论效应，杆穿过狭缝。早先的论文没有把思想实验与西尔伯斯坦/托马斯/维格纳旋转（STW-rotation）联系起来，而STW-rotation对思想实验的结果至关重要。本文讨论了 STW 旋转的作用，并提供了更多说明性数字，同时指出并纠正了先前论述中的一些误导之处。
The role of the Silberstein/Thomas/Wigner-rotation in the rod and slit paradox
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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