Aaaaah now this is becoming interesting!

Where do you guys recommend for me to look at in order to get a step further? I am a software developer with quite some experience but not so much mathematical background.

I don't mind if the entire bitcoin community would consider my new coins/fork invalid. I don't need them to agree to my approach, and I don't want to attack the original either. I am trying to use the formidable technology and thinking behind bitcoin for application in another context. In other words, it would become another parallel currency  - a fork.

Thanks!!!