Just so you know, asking if twistors are the future in a thread about Feynman diagrams is like asking if smart watches are the future in a thread about cars. It

Just so you know, asking if twistors are the future in a thread about Feynman diagrams is like asking if smart watches are the future in a thread about cars. It's pretty off topic. That said, nobody really knows about the future of twistors in physics. Twistors have some really interesting algebraic properties that may eventually get leveraged in a main-stream theory but they could also just end up being a mathematical curiosity that never has any real impact. I think I feel pretty confident saying that twistors will never have the cultural / philosophical impact on physics that Feynman diagrams have had (for good or for ill).