Discrete mechanics on unitary octonions
Mathematical Physics
2024-11-04 v1 Differential Geometry
math.MP
Abstract
In this article we generalize the discrete Lagrangian and Hamiltonian mechanics on Lie groups to non-associative objects generalizing Lie groups (smooth loops). This shows that the associativity assumption is not crucial for mechanics and opens new perspectives. As a working example we obtain the discrete Lagrangian and Hamiltonian mechanics on unitary octonions.
Keywords
Cite
@article{arxiv.2008.10971,
title = {Discrete mechanics on unitary octonions},
author = {Janusz Grabowski and Zohreh Ravanpak},
journal= {arXiv preprint arXiv:2008.10971},
year = {2024}
}
Comments
19 pages