Types of experimental sciences that we should look deeply into are; warp drives, hyper drives, Prolonged life, quantum communications and possibly teleportation of larger things rather than just communications. Another experiment should be to advance and expand our memory and learning capabilities ( either genetically or electronically). This is highly advised in order to make technological and scientific breakthroughs much quicker and with more ease than it would take with our current brain power. Just think of it as a computer upgrade for the mind. 

PaulCis, you have quite an interesting idea. The universe does have many great and hidden capabilities. May you elaborate more on your idea?