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Open AccessConcept Paper

About Chirality in Minkowski Spacetime

1
Université de Paris, BFA, CNRS UMR 8251, INSERM ERL U1133, 75013 Paris, France
2
E-pôle de Génoinformatique, CNRS UMR 7592, Institut Jacques Monod, 75013 Paris, France
Symmetry 2019, 11(10), 1320; https://doi.org/10.3390/sym11101320
Received: 2 October 2019 / Revised: 17 October 2019 / Accepted: 18 October 2019 / Published: 21 October 2019
In this paper, we show that Lorentz boosts are direct isometries according to the recent mathematical definitions of direct and indirect isometries and of chirality, working for any metric space. Here, these definitions are extended to the Minkowski spacetime. We also show that the composition of parity inversion and time reversal is an indirect isometry, which is the opposite of what could be expected in Euclidean spaces. It is expected that the extended mathematical definition of chirality presented here can contribute to the unification of several definitions of chirality in space and in spacetime, and that it helps clarify the ubiquitous concept of chirality. View Full-Text
Keywords: chirality definition; symmetry; Mikowski spacetime; isometries chirality definition; symmetry; Mikowski spacetime; isometries
MDPI and ACS Style

Petitjean, M. About Chirality in Minkowski Spacetime. Symmetry 2019, 11, 1320.

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