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<p>We discuss the (in)equivalence of various formulations of teleparallel gravity, building upon recent work by Weatherall and Meskhidze&#xa0;(<CitationRef CitationID="CR60">2024</CitationRef>). We then think about these different versions of teleparallel gravity from the point of view of reduction/sophistication—a distinction drawn by Dewar (<CitationRef CitationID="CR17">2019</CitationRef>) in the context of philosophical literature on symmetries—and along the way introduce and scrutinise the resources of Cartan geometry and of higher gauge theory.</p>

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Equivalence, reduction, and sophistication in teleparallel gravity

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年5月28日

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  • Eleanor March,
  • James Read,
  • Lu Chen

摘要

We discuss the (in)equivalence of various formulations of teleparallel gravity, building upon recent work by Weatherall and Meskhidze (2024). We then think about these different versions of teleparallel gravity from the point of view of reduction/sophistication—a distinction drawn by Dewar (2019) in the context of philosophical literature on symmetries—and along the way introduce and scrutinise the resources of Cartan geometry and of higher gauge theory.