Exploring symmetries through the action on the Torsors of the eight connected components Janus Symplectic Group
David Pigeon, Gilles Dagostini, Hicham Zejli, Jean-Pierre Petit · HAL (Le Centre pour la Communication Scientifique Directe) · 2023
In this article, after presenting the physical foundations leading to the construction of the Janus Cosmological Model, its principles and consequences, we focus on the Janus symplectic group associated with it.We explore the different symmetries, its action on the various elements of the dual of its Lie algebra, highlighting a charge symmetry, that is, the matter-antimatter duality in both sets of components.Contents 1 The physico-mathematical foundations of this approach 2 2 When observations suggest the introduction of negative masses 5 3 When the theory of dynamic groups illuminates the traveled path 12 4 Janus Symplectic Group 13 5 Discussion & Conclusion 20 1