Year: 2022
Type: preprint
Abstract: Foundational cases of the generalized Stokes' theorem are visualized using geometric algebra. From considering bivector valued fields, two seldom used instances of the theorem are obtained. Graphical representations are given, showing a radial spin structure corresponding to the generalized curl and a toroidal vortex for the generalized divergence. Dualities and applications to natural phenomena with non-trivial topology are discussed.
Source: arXiv (Cornell University)
Author: Klausen, Kristjan Ottar
Institution: Reykjavík University
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4283013888