Personally, I've had a few papers that I'd like to spend several months understanding. There was a world changing paper in 2013 titled "Causal Entropic Forces" by Wiesner-Gross and Freer, that I only understand conceptually. I have a strong suspicion, that if I knew how to apply the knowledge it could lead to breakthroughs in many areas of applied computation and data modelling.
I also have a lot of interest in autonomous drone swarms, and could easily spend 6 months working on those.
Similarly, I could lose 6 months playing with the limits of nylon (twisted monofilament fiber) muscles.