One thing we do know is the force from any net charge on the Earth is completely overwhelmed by gravity, the weakest of the fundamental forces. Remember, electromagnetism is about 10^36 times stronger than gravity. This would make detection very hard, indeed, but also suggests that any net charge is very small.
Now, I'm no cosmologist, but my understanding is that current theories require that the universe itself be electrically neutral (but I don't know why this has to be true, personally). So, for the E
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