During my PhD I have developed two research projects in parallel in the same field but with a clear different topic. This was not planned from the beginning, it just happened this way. I am sure each of these could be presented as a PhD and I am thinking on the possibility of presenting both, one after the other one. Would that make sense?

I had a quick talk with my Professor although I didn't ask him about this option because I had the fear he would find it a bit arrogant. So first of all, I wanted to get to know if it is meaningful. 

Thanks in advance