How do i advance my research career and publish papers without university affiliation?
Short answer: Simply write your paper and submit it and wait for feedback. If it is good enough a conference will publish it. 

Longer Answer: A contribution is a contribution, and conferences and journals are always hungry for a good content. Affiliation does not mean much, as most high ranking conferences only allow double-blind submissions; and after acceptance you can put your name, email and the company you are working for. You then will be considered an independent researcher on the subject matter. I have seen many submissions from big to small companies over the years, on subjects that were important to them and their work, who decided to submit their contribution to a research conference and get feedback.