Are there any applied results (inventions) based on physics beyond quantum field theory? By beyond QFT I mean any physical theory that is (maybe slightly) different from classical physics, relativity, quantum physics and quantum field theories. By applied results I mean not-only-on-paper results.
Answer
If by results you mean only inventions, the answer is, to my knowledge, no, since how could we engineer something we don't know anything about? Unfortunately we are not anymore at the times where inventors could build things without really knowing the underlying physics.
If you accept Topological field theories as 'beyond',which are widely used in condensed matter, then yes. They are actually trying to build quantum processors using anyons, so you can consider this as an invention.
A group of theoretical physicists at NASA is trying to build a warp engine using (almost)-beyond-GR. Not invented though! (yet?)
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