My background is not in quantum mechanics, so I could be totally misunderstanding the idea of quantum indeterminacy, but I thought it had to do with what we can know based on measurement. But a truly omniscient being would not have to rely on measurement.
So ...
Are you saying an omniscient being is impossible, because something about quantum mechanics implies that it is impossible to possess all possible knowledge?
Or are you saying that even if an omniscient being possesses all possible knowledge, they would nevertheless be unable to accurately predict all sequences because of some knowledge we have about quantum mechanics?
Turning the math into words is subject to interpretation (because it's _so weird_, it's not clear what it means; and I'm no physicist or mathematician either, but my understanding is...), but quantum mechanics seems to say there are physical laws actually limiting how precisely something can be known. Which is part of what makes it not just "what we can know based on measurement."
That is, a "truly omniscient being that would not have to rely on measurement" would apparently violate the laws of physics, is one thing quantum mechanics maybe seems to say.
"Thus, the uncertainty principle actually states a fundamental property of quantum systems and is not a statement about the observational success of current technology"
> Are you saying an omniscient being is impossible, because something about quantum mechanics implies that it is impossible to possess all possible knowledge?
> Or are you saying that even if an omniscient being possesses all possible knowledge, they would nevertheless be unable to accurately predict all sequences because of some knowledge we have about quantum mechanics?
That's an extremely astute question. I'm impressed that you managed to realize that that's an important distinction and that you don't know which it is.
It's actually the latter, and incredibly we can prove it. And the proof of this is surprisingly accessible:
I'm still not sold on this. I'm no quantum mechanics expert, but I do have a philosophy background, and it seems as if true omniscience -- possessing all possible knowledge -- seems like it should transcend this limitation.
Maybe I'm thinking about a form of omniscience that exists outside of time, in which case, of course an omniscient being would know what happens next, because they would know the future just as well as the past. (Example: Any omniscient being will know which photons will pass through a polarizing lens not based on prediction but based on already knowing the outcome.)
There are always hidden assumptions. The proof only applies up to half-omniscience being that know everything in the current and past of the universe, but not in the future.
As a less powerful entity, if you know all the result in the lab until now, you can consider an experiment made 1 hour ago and "predict" the outcome without breaking the laws of quantum mechanics.
We experience the world as a series of observations. Predicting those seems to be fundamentally impossible.
Of course that still leaves room for an omniscient being that never collapses the wave function and just deals in probabilities. But then your predicitions sound like "there's a 99.978% probability you will be hit by a car on tuesday at 10:04 am." with the remaining 0.022% accounting for quantum flactuations adding up to produce a different result. Whether you call that "all knowing" and whether that proves that nothing is random sounds like an interesting philosophical question.
Quantum mechanics theoretically is just another deterministic universe or hidden variables and effecting our deterministic universe to appear random but in reality is deterministic.
So ...
Are you saying an omniscient being is impossible, because something about quantum mechanics implies that it is impossible to possess all possible knowledge?
Or are you saying that even if an omniscient being possesses all possible knowledge, they would nevertheless be unable to accurately predict all sequences because of some knowledge we have about quantum mechanics?