Are currents significant on cosmological scales?

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mersecske
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It is usually said that gravitation is the dominant "force" on large scale,
because Universe is electrically neutral on large scale.
But what about currents?
Maybe effects of currents are disappearing statistically,
but I think that this is not trivial.
What is the truth?
 
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I think some pretty stringent limits have been placed on this sort of thing, by astronomers who were debunking of the electric universe kooks. I can't remember the details, but you can find it by googling.