The GPS receiver only works properly because we understand and account for general relativity.
The radio relies on a lot of stuff related to information theory. Which might be science, depending on how you think of applied math.
The screen and battery are built on a lot of materials science, which I don't know much of anything about.
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What failure means when you try to consider your phone as an experiment is very unclear to me
A phone is far to complex and intertwingled to be a proper experiment; if it works it proves a lot of things, but because of that if it doesn't work it doesn't disprove much of anything.
If the phone works, it says "all of these things are true", which is a lot of information.
If the phone doesn't work, it says "at least one of these things is not true", which is correspondingly less information.
Those things are tied together. Someone who knows more about statistics and information theory could probably explain how a lot better than I can.
Just because technology that is built on top of science works doesn't mean that it is 100% correct. It isn't that our theories are outright wrong, but they probably still are incomplete or are only approximations.
Interesting you would say that. They were calculated and the orbit of Mercury was not predicted correctly according to Newtonian Physics. Using Einstein's general relativity, the calculations matched observations.
If any phone ever works, it means that some of the underlying theories might be true. Any specific phone means nothing. And a phone that isn't working has absolutely nothing to do with any proof.
Implementations of objects that rely on theories are emphatically not proofs of them. And failed implementations of those objects are not disproof.