I've been thinking about going through the process of writing and publishing a paper about the topic of a project I'm pursuing in my free time (purposefully keeping it vague because it's niche enough to doxx me).
The issue is, it's not at all related to my field of study, there is no way I'll be able to pursue this in the context of my current studies.
I casually inquired with some of my university friends and they said to contact a professor from a relevant field to mentor me and that the professor would probably be excited that someone would voluntarily be interested in such pursuits.
My questions are:
Is this something that is allowed? I'm afraid that if I reach out to a professor, they'll just laugh at me.
How much should you already have prepared before reaching out to a professor? I have a topic in mind and an idea for a methodology but I haven't actually put together anything yet specifically for this (though I do have a lot of raw data from research I've done for fun).
I know this is closely related to the idea of publishing as a non-academic. But in my head—with the caveat that I have no clue how this works—I would pursue this formally through my university as opposed to writing it up without any guidance and then trying to get it published. (I haven't found anything at my uni about how this would work but I first want to make sure that it's not a waste of time on account of it being a dumb idea).