The arXiv does serve as an online preprint vetting community, and it would provide you a venue in which to publicly disseminate your work. (You might need eithe

The arXiv does serve as an online preprint vetting community, and it would provide you a venue in which to publicly disseminate your work. (You might need either a university-affiliated email or an endorsement, though -- not sure exactly.) But it's not really a good place to attract attention. Dozens of papers are published there every day, and the more unconventional ones tend to get ignored (unless they're authored by people who are already famous). Another thing you might do is attend a scientific conference. If possible, see if there's some small, not-terribly-prestigious conference in a related subject, somewhere within driving distance. In my subject, number theory, these are quite common; they're typically held over weekends and are largely designed to give graduate students a venue in which to speak. Book a hotel, go to all the talks, ask questions. If you strike up conversations with people, you might can ask if you can run your theory by them.