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Examines gravitationally induced collapse in non-relativistic twistor theory, indicating its relevance to quantum measurement.
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.
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March et al. (2026) studied this question.
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