How would Cherenkov radiation play into GR, the dolphins' version?

[EnumaElish]

If dolphins thought the universe was just a really big ocean, and if they had come up with the theory of general relativity, how would the fact that certain particles radiate faster than light through water shape their version of the theory? Would it be essentially the same with the human version, except "c" would denote the speed of the fastest measured (or the fastest possible) radiation in water?

 

[russ_watters]

If dolphins thought the universe was just a really big ocean, and if they had come up with the theory of general relativity, how would the fact that certain particles radiate faster than light through water shape their version of the theory? Would it be essentially the same with the human version, except "c" would denote the speed of the fastest measured (or the fastest possible) radiation in water?

So are these hypothetical dolphins capable of building a Michelson interferometer but incapable of building a vacuum chamber in which to test it?

 

[EnumaElish]

So are these hypothetical dolphins capable of building a Michelson interferometer but incapable of building a vacuum chamber in which to test it?

That's the premise, "in a seashell." I am not going to attempt to justify it.