2021/04/26 by G. X. A. Petronilo, Petronilo, G. X. A., S. C. Ulhoa +3
Mathematics · Physics and Astronomy · #Algebraic and Geometric Analysis #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematics and Applications #Relativity and Gravitational Theory #hep-th
paper · pdf · doi:10.48550/arxiv.2104.12535
7 pages, no figures
openalex publication_date 2021/04/26 · arxiv created 2021/05/19 · arxiv updated 2021/05/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Carroll's group is presented as a group of transformations in a 5-dimensional space (C) obtained by embedding the Euclidean space into a (4; 1)-de Sitter space. Three of the five dimensions of C are related to R3, and the other two to mass and time. A covariant formulation of Caroll's group, analogous as introduced by Takahashi to Galilei's group, is deduced. Unit representations are studied.