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<p>Recently, Dunajski and Gundry (Commun. Math. Phys., <b>342</b>(3), 2016) have developed a version of twistor theory for the non-relativistic domain. Unlike relativistic twistor theory, their approach is able to reproduce the entire space of models of Newton–Cartan theory. We critically assess the significance of non-relativistic twistors, in particular with respect to proposals by Dunajski and Penrose (Ann. Phys., <b>451</b>, 2023) that using non-relativistic twistors to describe gravitationally induced collapse could play a part in solving the quantum measurement problem.</p>

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Non-relativistic Twistor Theory: Newtonian Limits and Gravitationally Induced Collapse

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年7月13日

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  • Eleanor March,
  • James Read

摘要

Recently, Dunajski and Gundry (Commun. Math. Phys., 342(3), 2016) have developed a version of twistor theory for the non-relativistic domain. Unlike relativistic twistor theory, their approach is able to reproduce the entire space of models of Newton–Cartan theory. We critically assess the significance of non-relativistic twistors, in particular with respect to proposals by Dunajski and Penrose (Ann. Phys., 451, 2023) that using non-relativistic twistors to describe gravitationally induced collapse could play a part in solving the quantum measurement problem.