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Keywords = Dirac supersingletons

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10 pages, 220 KB  
Article
Why Poincare Symmetry Is a Good Approximate Symmetry in Particle Theory
by Felix M. Lev
Symmetry 2025, 17(3), 338; https://doi.org/10.3390/sym17030338 - 24 Feb 2025
Viewed by 1235
Abstract
As shown by Dyson in his famous paper “Missed Opportunities”, it follows, even from purely mathematical considerations, that quantum Poincare symmetry is a special degenerate case of quantum de Sitter symmetries. Thus, the usual explanation of why, in particle physics, Poincare symmetry works [...] Read more.
As shown by Dyson in his famous paper “Missed Opportunities”, it follows, even from purely mathematical considerations, that quantum Poincare symmetry is a special degenerate case of quantum de Sitter symmetries. Thus, the usual explanation of why, in particle physics, Poincare symmetry works with a very high accuracy is as follows. A theory in de Sitter space becomes a theory in Minkowski space when the radius of de Sitter space is very high. However, the answer to this question must be given only in terms of quantum concepts, while de Sitter and Minkowski spaces are purely classical concepts. Quantum Poincare symmetry is a good approximate symmetry if the eigenvalues of the representation operators M4μ of the anti-de Sitter algebra are much greater than the eigenvalues of the operators Mμν (μ,ν=0,1,2,3). We explicitly show that this is the case in the Flato–Fronsdal approach, where elementary particles in standard theory are bound states of two Dirac singletons. Full article
(This article belongs to the Special Issue The Benefits That Physics Derives from the Concept of Symmetry)
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