A mathematical derivation of the Maxwell equations | r(3)so(3) https://r3so3.com/forums/topic/2022-10-05-mathematical-derivation-maxwell-equations/feed/ Sat, 31 May 2025 04:04:30 +0000 https://bbpress.org/?v=2.6.9 en-US https://r3so3.com/forums/topic/2022-10-05-mathematical-derivation-maxwell-equations/#post-943 <![CDATA[A mathematical derivation of the Maxwell equations]]> https://r3so3.com/forums/topic/2022-10-05-mathematical-derivation-maxwell-equations/#post-943 Wed, 05 Oct 2022 18:15:19 +0000 Anton Vrba 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]

]]> https://r3so3.com/forums/topic/2022-10-05-mathematical-derivation-maxwell-equations/#post-1639 <![CDATA[Reply To: A mathematical derivation of the Maxwell equations]]> https://r3so3.com/forums/topic/2022-10-05-mathematical-derivation-maxwell-equations/#post-1639 Sun, 20 Nov 2022 10:36:12 +0000 Anton Vrba 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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