|It almost sounds like you're trying to build a Turing machine (google it).|
I'm curious, have you picked out a motherboard for this project? Motherboards are designed around the cpu. That is, MSI or Asus delve into the specs of a new processor and then design a motherboard to work with it. I'm wondering what processor your relay cpu will mimic.
Each pin on a processor does something. Have you designed your relay cpu to provide all the proper signals and voltages the socket expects?
When I was 7 or 8 years old I was home from school a lot due to asthma. One time when I was home there was a mercury or gemini space shot. This was back when astronauts going into space was a big deal. I decided I was going to listen in on their communications with my homemade radio receiver. It consisted of wires, a D cell battery, a window screen and an AC socket. Well, you know what happened. I plugged it into the AC, sparks flew and the breaker blew. What you're wanting to do kind of reminds me of that--not that you're going to blow up anything; it just won't work.
You're obviously a bright kid. There used to be a maganize called Popular Electronics and its offspring Popular Computing. Each month they'd have a project you could build. Those magazines aren't around anymore but there's probably others. I don't keep up. Anyway, check into something like that.
Take a lot of math in high school, where it's easy and EE and CE classes when you get to college and you'll do fine.