The wave function specifies how the probability of "finding" a particle evolves over all of space and time for any point in space you yourself choose to solve it for. You can't really say the WF is predicting positions...if it's up to you to provide the positions.
> If the electrons and quarks don't have identity, how can a ball?
Macro objects can be separated, to where macro measurements make them appear separate (but they never really are), however at the atomic level this video helps (as a mental visualization) explain why actual electrons have no identity:
In the video, ask yourself, do any of the "humps" in the string have identity? You can count them, see their position, measure velocity, etc., but they're purely an emergent phenomena, and have no true identity.
Nothing about any quantum mechanical wave system has any identities either. So when you "measure" something (i.e. "find" a particle) by collapsing the WF, you have actually not 'found' but 'created' something that seems to have a location in space and time, but it's not because it "moved there". It's because you "created it there".
The wave function specifies how the probability of "finding" a particle evolves over all of space and time for any point in space you yourself choose to solve it for. You can't really say the WF is predicting positions...if it's up to you to provide the positions.
> If the electrons and quarks don't have identity, how can a ball?
Macro objects can be separated, to where macro measurements make them appear separate (but they never really are), however at the atomic level this video helps (as a mental visualization) explain why actual electrons have no identity:
https://www.youtube.com/watch?v=-gr7KmTOrx0
In the video, ask yourself, do any of the "humps" in the string have identity? You can count them, see their position, measure velocity, etc., but they're purely an emergent phenomena, and have no true identity.
Nothing about any quantum mechanical wave system has any identities either. So when you "measure" something (i.e. "find" a particle) by collapsing the WF, you have actually not 'found' but 'created' something that seems to have a location in space and time, but it's not because it "moved there". It's because you "created it there".