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arXiv · 1402.0657

Carroll versus Newton and Galilei: two dual non-Einsteinian concepts of time

C. Duval·G. W. Gibbons·P. A. Horvathy·P. M. Zhang
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Abstract

The Carroll group was originally introduced by Levy-Leblond [1] by considering the limit of the Poincar\'e group as $c\to0$. In this paper an alternative definition, based on the geometric properties of a non-Minkowskian, non-Galilean but nevertheless boost-invariant, space-time structure is proposed. A "duality" with the Galilean limit $c\to\infty$ is established. Our theory is illustrated by Carrollian electromagnetism.

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C. Duval, G. W. Gibbons, P. A. Horvathy, P. M. Zhang. 2014-02-04. Carroll versus Newton and Galilei: two dual non-Einsteinian concepts of time. https://doi.org/10.1088/0264-9381/31/8/085016

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