Can't think of any such way.

Similarly, the existence or non-existence of some sorts of inactive Gods doesn't affect your observations in any way.

Occam's Razor would eliminate both those Gods and a time-continuous self, though.

(But personally, I propose that we may have faith in a time-continuous self, if it is sufficiently useful psychologically. And that it's an open question whether there are other supernatural things that at least some should also have faith in.)