there is no empirical evidence or experimental results that conclusively prove quantum field theory (QFT) or special relativity (SR) to be incorrect.
Both QFT and SR are highly successful theories that have been extensively tested and have provided accurate predictions in their respective domains of applicability. QFT describes the behavior of elementary particles and their interactions, while SR deals with the behavior of objects moving at speeds close to the speed of light.
However, it's worth noting that QFT and SR are currently incompatible with each other. The mathematical formalism of QFT is consistent with special relativity, but the combination of QFT with general relativity (GR), which describes gravity, has not yet been successfully achieved. Theoretical physicists have been working on developing a theory that reconciles quantum mechanics with gravity, known as a theory of quantum gravity, but a complete and universally accepted theory has not been established.
Nevertheless, it is important to emphasize that the absence of proof for the incompatibility between QFT and SR does not necessarily mean that they are both fundamentally correct. It is always possible that future experimental or theoretical developments could challenge or refine our understanding of these theories. The scientific process continually seeks to refine and expand our knowledge, and any new evidence or breakthroughs in fundamental physics could potentially lead to modifications or even the replacement of existing theories.