Imagine you are minding your own business when you receive an email from someone who claims to have discovered the Answer to the Ultimate Question of Life, the Universe, and Everything. He provides some "details" about his theory, then says he wants to meet you and / or arrange a time for a phone conservation to discuss it. What should you do?
The only thing I've seen is this 1983 article by Underwood Dudley about what to do when the trisector comes. Dudley says not to examine the trisector's proof, and also not to direct the trisector to the proof that trisection is impossible. Instead one should send computer-generated results showing that the trisection is imperfect. Problem with this is that it only works for questions that can be attacked by computers - there was a recent question here on Academia SE challenging conservation of angular momentum which this won't work for.
What are some general guidelines for dealing with these situations?
Edit: ignoring an email is easy, but what if the crank calls or visits in person?
Answer
This happens far less frequently than inappropriate requests for postdocs that have absolutely nothing to do with your area, invitations to participate in conferences that have nothing to do with you, invitations to serve as section editor on predatory journals, .....
Handle them all the same. Use your delete button.
A call or visit is harder to deal with. A polite "... very interesting, but I don't have the time to follow up on this" might get you off the hook. If the person shows up at your door more than once, I recommend calling security.
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