I've had a fair share of lucid dreams by now and I've noticed this. In lucid dreams, especially the very vivid ones where I am very aware, i feel like my mind tends to work differently than when I am awake, and I come up with things that I don't know how I could have ever come up with. It is difficult to explain. I've noticed that it feels different to think in a lucid dream, like ideas flow easier and your mind is clear and creative.

Does anyone else feel this way? You could try this if you haven't. Think of some problem and try to find a solution, or anything really.