Definitely electrical engineering - you are basically looking at "Linear motor" style technology as used for lift and propulsion with some Monorail trains. This is the nearest anyone has got so far - they are in limited production at ten grand each.. https://www.kickstarter.com/projects/142...
Mechanical and Electrical engineers both take well-understood laws of physics and develop inventions that rely on those laws. No one has enough of an understanding of how gravity works to even begin to formulate a theory on how a hoverboard might work. If you want to invent one, you'll have to become a scientist, and explore areas of physics we previously had little or no knowledge about.
Engineers, with our current understanding of how the world works, don't know how to build a hoverboard yet.
I cant really gove you an answer,but what I can give you is a way to a solution, that is you have to find the anglde that you relate to or peaks your interest. A good paper is one that people get drawn into because it reaches them ln some way.As for me WW11 to me, I think of the holocaust and the effect it had on the survivors, their families and those who stood by and did nothing until it was too late.