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when a charged particle moves the area around it moves at the same speed as the particle itself so if the particle had a velocity of 10m/s down then the electric waves at a 10m radius around it moves that the exact speed according to khan academy, but shouldn't they move at a slightly different velocity since there is another velocity down?

photo for clarity this is a picture of what I mean but in a different direction

Abd
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    You seem to be assuming that particles have a spatial extent, but in 1915's General Relativity, they've been treated as "point-like", and, consequently, lack any. There's a 1929 version of Einsteinian relativity, worked out thru conversations between Einstein and the mathematician Cartan, known as Einstein-Cartan-Sciama-Kibble Theory (after more recent modifications by Sciama & Kibble), that assigns a tiny spatial extent to fermions, but the only application of it I've seen has been in a cosmological model by Nikodem Poplawski, found by his name on <>. – Edouard Nov 22 '22 at 04:39
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    there is another velocity down What do you mean by that? – Ghoster Nov 22 '22 at 05:18
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    Related : Electric field associated with moving charge. – Frobenius Nov 22 '22 at 08:13
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    @Edouard I think the question is about the field near a moving point charge. – Ghoster Nov 22 '22 at 21:26
  • @Ghoster --Yes, I think you're right, given the tags, the graphic, the other comments, and the lack of edits. I hope my ineptitude did not contribute unduly to the closure of what I believe had been a "first question" when I saw it. – Edouard Nov 23 '22 at 16:38

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