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Options for a finite group model of quantum mechanics

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 نشر من قبل Robert Wilson
 تاريخ النشر 2021
  مجال البحث
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 تأليف Robert A. Wilson




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There are four finite groups that could plausibly play the role of the spin group in a finite or discrete model of quantum mechanics, namely the four double covers of the three rotation groups of the Platonic solids. In an earlier paper I have considered in detail how the smallest of these groups, namely the binary tetrahedral group, of order 24, could give rise to a non-relativistic theory that contains much of the structure of the standard model of particle physics. In this paper I consider how one of the two double covers of the rotation group of the cube might extend this to a relativistic theory.



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