[BucketSort]

I consider their role to be the people that are exploring mathematical models of phenomena that may or may not exist, so when the regular physicists find something new, there's some mathematical precedent they can use. Physics is about explaining "observable phenomena in a falsifiable way," theoretical physics is broader than that. I think they both have their place. I don't know why people put them at odds against each other, I thought they have been shown to have a long and fruitful relationship ( the experimentalists and the mathematicians ). The relationship between Faraday and Maxwell should be the shining example that shows how the two sides of understanding nature balance each other.