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Did physicist create the concept of electric field to describe the interaction of charge particles at a distance? If they are real, do we have experimental evidence? Please describe some of them. And what about other fields like gravitational field?

Paul T.
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In order for electric fields to be real, we maybe would need electric charges and geometric points to be real. So it is probably a model, but we can't really know for sure and math by itself cannot prove whether these concepts are real or not.