Do flying monks described in Buddhist texts contradict with physics? So the Buddhist texts must be stating something incorrectly since we now know that we can't fly without the help of technology. How could they fly then?
One of the main pieces of advice in the Buddha Dhamma is verification by trying it yourself (Ehipassiko) and to be open to scientific scrutiny (Sandiṭṭhiko). Hence you can develop the Jhanas and see for your self if this is possible or not. Self-verification and experience is more convincing than people arguing in-favor or against something like this.
Having said this, there is much research in these areas under Parapsychology though this might be view as pseudoscience.