Here’s something I believe but cannot prove:
The common interpretation of quantum mechanics that most scientists hold today is completely and hopelessly wrong. True randomness does not exist in the behavior of subatomic particles. Apparent randomness is just unexplained complexity. Left to itself, all physical matter and energy behaves deteministically, though a supernatural agency (such as God, an angel, or an embodied human soul) can cause matter to act in accord with the free-will decisions of the agency (which are not random, either).
In short, "God does not play dice with the universe."
That means that I agree with Albert Einstein on this (except that I don’t know what he thought about supernatural agency and free will).
This is something that I believe but cannot prove because of the technological limitation resulting in the uncertainty principle.
If we ever find a particle that is acted-upon by electrons without the reverse being true then the limitation vanishes. That would push the problem back one step as we’d now be able to measure what we need about electrons without affecting them, though we still might not be able to measure what we need about the new electron-testing particle. The problem would go away altogether if we found a way to measure all we need about the electron-testing particles without disturbing them and without getting into a regress of new particle-testing particles.
Regardless of whether the problem would be pushed back a step or totally solved, I still believe that all physical matter and energy behaves deterministically, even though we can’t (at least at the moment) prove it.
I’m not a scientist, but
HERE’S AN ARTICLE IN WHICH A BUNCH OF SCIENTISTS WERE ASKED WHAT THEY BELIEVE BUT ARE UNABLE TO PROVE, THUS REVEALING THEIR OWN LEAPS OF FAITH.
Interesting stuff!
(Richard Dawkins’ contribution is no surprise, but at least he admitted that he can’t prove it.)
What do you believe that you cannot prove?