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An accelerating electron or proton emits light via synchrotron radiation, but an accelerating ring of charge does not and Larmor suggests that a standing wave of charge wouldn't either {1}.

Are there any other special cases where accelerating charges don't emit light?

{1} "[S]teady motion which does not involve radiation is really a state of stationary undulation arising from the superposition of a wave-train traveling outwards on another travelling inwards". (Page 511)

WaveInPlace
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  • I wouldn't call it an 'accelerating ring of charges'. The linked question is about a rotating ring wherein each individual charge may be accelerated (on their circular motion), but the charge and current density are both steady. – kricheli Mar 16 '23 at 13:09
  • A more physical example would be the superconducting magnet in an NMR or MRI magnet. As with a synchrotron electrons are moving in a circle, each individually experiencing angular acceleration, but the system is very stable. – WaveInPlace Mar 16 '23 at 13:13

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