I anticipate a lot of scepticism about my question, but I've written a short paper which identifies and corrects what I believe to be a flaw in the way an age old Newtonian problem is taught in physics. I'm not a student nor an academic, so can't use the services of an established University. So how do lay people like me get a technical paper taken seriously and reviewed by my peers ?.
The fact that you're not in academia is not proibitive for publication, but it sure makes things more difficult. If you think your paper is well written in the sense that it looks like an usual physics paper, you can simply find a proper journal and just submit your work.
But I'd recommend first making your work available online to get opinion from people in the field, as they can point you to the proper journal to submit, they can help you with your writting and, more importantly, they can check if what you claim makes sense or not. I'd recommend posting a question to Physics.SE about the issue you found with a link to your paper.