Well, there is a fair amount of theoretical physics that is based on logical argument backed up by complex math that may or may not have anything to do with reality.
That's what makes it theoretical. It's not science until you figure out a way to test it, like building a particle accelerator. I'm no physicist, but I imagine there is no shortage of theories that have fallen by the wayside when someone figured out a way to test the hypothesis.
true but many of those hypothesese, when supported by mathematical/logical arguments are used as basis for other theories that are then tested as true without ever testing the original hypothesis. still science just not theory yet, only hypothesis. Gravity is accepted as scientific even though there is no empirical evidence of exactly why it happens.
just saying that science isn't defined by the empirical evidence but by the method of research, and even that can be argued.