Seem to imply under normal intuitive logic. You don't seem very sure.
"Material" doesn't mean "atoms" and "quarks". Material as in "materialism" includes energy and all that is observable.
Otherwise the rest of your post sounds like "I don't understand the physics behind all this, so I'd rather believe differently".
My knowledge of quantum physics is admittedly not that great, but I do make attempts to understand it. Obviously I'm not sure about what quantum physics implies in totality, but that's not a big deal because the scientific community is also not sure. This is why there are so many "quantum interpretations", some of which conclude that that there are parallel universes and others which posit that consciousness itself can cause the collapse of the wave function.
If you know more than me on the subject of physics, why would you make a statement such as this:
"I also think we'd all agree to say that something cannot exist and not exist at the same time, or rather, that something and its opposite cannot both be true simultaneously. The glass is either full or it isn't, the engine is either running or it isn't, and an event is either caused or not. But it can't be both or neither. That's very important because we have to be able to draw definitive conclusions based on observation. Once a proposition is known to be true, it can't be false, and vice-versa."
The possibility of the existence of simultaneous opposing states has been considered an open question of quantum physics for the last 80 years. Although some scientists but not all consider it partially resolved, there is still much unresolved "spookiness" to quantum physics, even in the words of quantum physicists themselves. Since you take for granted that opposing states can not concurrently exist, please feel free to tell us your solution to the famous Schrodinger's Cat thought paradox..
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