Science progresses when new paradigms are discovered. From that new mathematical models can be derived and tested.
For example, there is an experiment that breaks with quantum mechanics. It does not break it completely, but it replaces it with a different model that is so simple that it is the best according to Occam's Razor.
Like: Null-hypothesis: quantum mechanics shows that there are no photons https://saidit.net/s/Physics/comments/18rz/nullhypothesis_qu...
With the experiments we can see that photons are not only complicated, but also breaking with the observations. This breaks the paradigm of the particle-model. Instead we have something else, which we can test now with simple experiments.
Experiments are on: http://thresholdmodel.com
And I don't know if the conclusions are correct, but I am excited to see a testable breakthrough in the stalemate of quantum interpretations.