If a proton is moving through space without any change in its velocity, then its electric and magnetic fields are not interacting with any other electromagnetic fields. There are no other fields present, and about the only place where a proton can move without interference is deep space. There will still be some electromagnetic radiation, even there. And this will have an effect on the protons's fields. There may also be another charged particle or two about as well. In reality, there is no place that is completely free of electromagnetic fields. But if there were, it would be a perfect vacuum with no light or any other electromagnetic radiation moving through it.
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