Discrete mechanics on unitary octonions
arXiv:2008.10971 · doi:10.1142/S0219887821500936
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.
arXiv comment19 pages
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