There is no known way of testing, so the only fair answer is that we don’t know.
To say they don’t exist because we can’t test them isn’t fair, and we can’t make a measurement to prove that they do either, so we can’t say either way. Sometimes, you just have to have a bit of faith 🙂
There is none that I know of. Scientific proof requires carefully designed experiments that either supports or disproves a theory. We don’t have the knowledge or technology to design or carry out experiments on the existence of deities. But just because you can’t prove a theory, doesn’t mean it is wrong, and just because you can’t disprove a theory doesn’t meant that it is right. We are left with the very unsatisfying ‘experiment not done’.
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