Which experiment (test) should a scientist ask to check if God is real or not?
What you are asking is a really important question. The people who have answered along the lines ‘it is a belief, it is a matter of faith’ are really saying that God (or god or gods) are just in the mind – just made up. That is just assertion and is not part of the scientific process. However part of the problem in constructing a test or series of tests is getting the definition right. A lot of the time you find arguments that go something like: since there is no explanation for this it must have been God. This is logically equivalent to saying that because something isn’t green it must be pink. Just because a phenomenon can’t be explained, all that demonstrates is that there is something beyond current understanding (in the same way that not green simply implies not-green). There could be all sorts of apparently supernatural entities which have effects in the everyday world. I say ‘apparently’ because they too would ultimately be part of nature and no more unnatural than is a human’s