>>12970557First you can't prove CT, it's a phenomenological statement akin to physical laws. Do you prove Maxwell's equations? No, you make experiments to try to refute it.
Second, it does not even matter. Even if we were to discover a supercomputational device, it wouldn't change the results since they are relativized to the class of Turing-complete computations. FYI there is actually a whole subfield dedicated to the study of computation when extended with non-computational primitives, see e.g. Turing degrees.
