The way people do research is changing so rapidly that by the time you finish reading this answer it will probably be out of date. I'll make the intro short and go straight to what you need to solo your (theoretical) research project.
1. Time. When you work in a team of experts in your field, you get things done much quicker. If you work alone, everything takes much longer.
2. Money. You need money to buy time, mainly. If you need to pay off a student loan or work part time to pay the bills, you will probably not have enough time to finish reading all those articles and books in time.
3. Google Scholar. You can find full texts of most of the papers you will ever need there, and an abstract of virtually every paper.
4. Access to book torrent trackers. Legally, this is a grey area, but it puts everyone on the level playing field, whether you are a student from Harvard or some local college in India. Hey, there was a time when it was illegal for women to read. It still is in some countries.
5. Stack Overflow. Present your research results with working code, making it easily reviewable, replicable, and implementable for industry and other researchers. Leveraging the current tech will catapult you to the top.
6. E-mail spam. Once you have the results you suspect someone might be interested in, find them and let them know. These potential targets can be universities you want to apply to for a PhD program, companies that you want to work for, or journal editors that you suspect might be interested in publishing your work. Send a few emails per day, wait for their response, improve your letter (taking into consideration the responses of previous targets), keep sending your cold e-mails until you get a positive response.
There are so many tools out there for you to do the research independently nowadays, all you need is passion, a lot of time, and a little bit of money. Hey, Einstein figured out his theory of relativity in his patent shop without computers, Internet, Google, Stack Exchange, etc. etc..
Two more things I would like to add. The recent wave of progress is leaving a lot of "old school" researchers behind so you may not get a warm welcome when you cut a bunch of corners with your state-of-the-art tech and get their job with a higher salary just by punching a few keys on a keyboard and clicking some links. Another thing is, a lot of people are doing the same thing. People from South America to Europe, to Africa, to India, to Asia all of a sudden have all these tools to do research that for centuries was only accessible to the western elite. State-of-the-art doesn't stay state-of-the-art for too long so you got to keep up with it or you will be swept aside by the same force that you exploited on your way up.