We did an experiment and the results unexpectedly support a famous theory. I am not entirely sure how to write the full paper or sell the results because I am not too familiar with that theory. And I don't know which journals welcome that theory. I think chatting with that theorist will surely help.
Shall I directly send our results and drafts to that professor, or shall I send a short cover letter first, which concisely describes our results and shows how his theory is supported, and then send the paper only if the theorist agrees?
I talked to my advisor and they agree I could contact this person, but I'm not sure how to start. The theory is famous for its philosophical and mathematical elegancy but one of its important implications is hard to test.