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Waves are described by a novel system of three simultaneous vector equations. These equations when set in the electromagnetic domain are a reformulation of the Maxwell equations, and could describe 3D-EM wave structures, e.g. ball-lightning.
[See the full post at: A mathematical derivation of the Maxwell equations]
[see the Zoom presentation at The mathematical origin of the Maxwell equations]
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For me the important part is Peter Rowland’s feedback during the discussion (https://youtu.be/FK-EdF6uxpQ) starting at the 1:11:40 time mark, transcribed below
Peter Rowlands: Your approach is purely generical and purely mathematical. So, if you got three such starting vectors with those conditions presumably you get Maxwell’s equations for those regardless if it is E or B or whatever.
Anton Vrba: That’s why I …. basically, why in the first part I used the vectors a and r, the activator and reactivator, it is just a nice way of introducing it. I have written a paper on the purely mathematical and generic form, that’s where I coined the term bimodal waves.
Peter Rowlands: So, you should get Maxwell equations of any kind.
Anton Vrba: If you have a medium that allows (…) two phenomena and [they] give you the [mutual] induction. If these equations can be used in liquids, say vortex or smoke rings … I don’t know.
Lauri Love: Are you hinting, Peter, that we may see manifestations of this same thing in other context
Peter Rowlands: Oh, yes indeed.
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