I like what Proverbs says when it says "There is nothing new under the sun." Knowledge always seems to be uncovered and rediscovered...necessity being the birthing mother of invention.
I think what lies just beyond science is a vast reservoir of knowledge and wisdom (and I don't mean new agism or weird earth shamanistic crap) that science in its current closed method of inquiry has lost the ability to tap. For example...the dreams of two brothers who owned a bicycle shop in Ohio, wishing to fly....
For example, Goedel demonstrated that per general relativity time travel is possible and therefore time is an illusion. Yet, we see time, think in terms of time, and don't have a clue what to do about it.