Earlier quoted context omitted.
As far as I can tell, the only reason cold fusion is even a thing is because someone published a paper that has never been reproduced. P=NP is at least possible: it has to be true or untrue. I'm not even sure if our current understand of physics even supports cold fusion. I guess maybe it does seeing as how I got downvoted? Presumably by amazing scientists who have developed cold fusion technology? Or at least have a…
Fwiw, P=NP could be independent from our current commonly used axioms; it doesn't have to be purely true or false.
Edit: So in that case, what would it mean to add an axiom that P=NP? See https://mathoverflow.net/questions/50023/independence-of-p-n... especially the answer by Andreas Blass. Basically, you could add axioms that change the meaning of 'Turing machine' (ie 'computation') by changing the meaning of 'natural number' resulting in an algorithm witnessing P=NP that maybe can't be run on physical computers.
Way off topic...