Teaching Magnetism with Bivectors — mentioned by Steuard

Sat, 10 May 2025 16:03:28 GMT

I don't pretend to know what this simulation is doing, but for the record, electromagnetism works just fine in 2D. You might be thinking "but magnetic fields are intimately tied to cross products, which only work in three dimensions." But you can set up the equations of electromagnetism just fine either using differential forms or bivector magnetism (https://arxiv.org/abs/2309.02548), and it works in any dimension you'd like. (The cross product version is really a narrow and sometimes misleading special case.) Possibly related: there are options to "View B" and "View H" in the scalar…

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Teaching Magnetism with Bivectors · HackerPapers discussions

Teaching Magnetism with Bivectors — mentioned by Steuard