What is the relation of reproducibility and the lack of contigencies with the scientific method?
Quantum mechanics and Statistical physics/mechanics are vurnerable/suspectible to contigencies. We have Heisenberg's Princible to thank for that and the very nature of Statistical physics/mechanics.
Relativistic physics and Astrophysics are vurnerable to the lack of reproducibility. We have not experienced ourselves or produced relativistic speeds with our current technology and we can never attain the speed of light as long as the Lorentz Transform holds. We can only observe stars we cannot reproduce them.
Photonics then are vulnerable to both. We are dealing with particles for which the Heisenberg Principle holds that travel with the speed of light that we can only "attain" by producing photons and have not yet reached relativistic speeds in any other way.
Physics is the first thing that comes to mind when one thinks of science, scientific method and scientific theory.