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Aug 20 at 18:09 comment added controlgroup I’m saying that if there’s a strong enough magnetic field then the electric field would also be strong enough to repulse the electrons to infinity.
Aug 20 at 17:24 comment added vengaq @controlgroup so even the cloud's own magnetic field wouldn't be enough to have them stable?
Aug 20 at 16:21 comment added controlgroup @vengaq An external one, perhaps (i.e. the Earth's magnetic field), but the electric field would still dominate the cloud's own magnetic field in most physically-reasonable scenarios.
Aug 20 at 16:18 comment added controlgroup @HiddenBabel One, note that $r_Q^2$ scales with $Q^2$, not $r_Q$. That confused me for a second too, Wikipedia could do better. If $r_Q\propto Q^2$ my answer still holds. Also, the RN metric already accounts for the black hole's added mass due to EM field mass energy.
Aug 20 at 12:52 comment added vengaq @controlgroup and could a bunch of electrons be bound to each other by magnetic interactions?
Aug 20 at 3:11 comment added HiddenBabel Are you saying the mass of an individual electron is $10^{-11}$ times that of its own mass? How do you answer OP's thought that by combining tons of electrons together, the energy of their interaction increases the mass? This is shown on the Wiki article you linked, and it seems $M$ also scales with $Q^2$, so how does the full math work out?
Aug 20 at 0:01 vote accept vengaq
Aug 20 at 22:37
Aug 19 at 23:19 history edited controlgroup CC BY-SA 4.0
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Aug 19 at 23:13 history edited controlgroup CC BY-SA 4.0
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Aug 19 at 23:04 history answered controlgroup CC BY-SA 4.0