English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

It is first shown that the scalar product on any orthogonal space (V, g)allows one to define linear isomorphisms of the vector spaces of bivectors and2-forms on V with the underlying vector spaces of the Lie algebra so(p, q) andits dual, respectively. When those isomorphisms are applied to theelectromagnetic excitation bivector and field strength 2-form, resp., one canassociate various algebraic constructions that pertain to them as bivectorfields and 2-forms with corresponding constructions in terms of so(1, 3) andits dual. The subsequent association with corresponding things in line geometrywill then become straightforward. In particular, the fields can be representedby motors, such as screws and wrenches, while the Cartan-Killing form on so(1,3) is isometric to the scalar product on bivectors that gives the Kleinquadric. When the space of bivectors (and therefore the space of 2-forms) isgiven an almost-complex structure (and therefore, a complex structure), one canalso represent most of the constructions on the former and its dual in terms ofso(3; C) and its dual.

Line geometry and electromagnetism IV: electromagnetic fields as infinitesimal Lorentz transformations