The important distinction here (and I get it, analogies are always imperfect) is that the photograph analogy has “hidden variables”. That is, each half is fixed at the moment of their separation and you just don’t know what’s in the envelopes until you open one. That’s not how entangled particles work though, and which “half” is which is not determined until the instant of measurement, at which point the state of both are known and fixed.
I’m open for counterarguments, but I always felt this was a silly way of looking at things. You cannot measure stuff at the quantum level without significantly altering what you measured. (You can never measure without altering what you measured, since we typically blast stuff with photons from a light source to be able to look at it, but for stuff that’s significantly larger than photons, the photons are rather insignificant.)
As such, you can look at measuring quanta in two ways:
Either the quantum had the state that you end up measuring all along. It is only “undetermined”, because strictly nothing can measure it before you do that first measurement.
Or you can declare it to have some magical “superposition”, from which it jumps into an actual state in the instant that you do the measurement.
Well, and isn’t quantum entanglement evidence for 1.? You entangle these quanta, then you measure one of them. At this point, you already know what the other one will give as a result for its measurement, even though you have not measured/altered it yet.
You can do the measurement quite a bit later and still get the result that you deduced from measuring the entangled quantum. (So long as nothing else altered the property you want to measure, of course…)
“it can’t be hidden variables because they’re not as even as this math says they should be!” really just seems to be the whole QM field agreeing to stop arguing about spooky action at a distance.
The distinction between wave-functions as real things that collapse at superluminal speed and the same as mere mathematical placeholders for deterministic local effects which occur without subjective time seems to be a semantic and philosophical one, similar to the “multiple realities” explanation of quantum uncertainty or the “11 dimensions” explanation for why gravity is weaker.
As a practical matter, the only thing that students and non-physicts should remember is that wavefunction collapse allows superluminal coordination but not superluminal communication.
The important distinction here (and I get it, analogies are always imperfect) is that the photograph analogy has “hidden variables”. That is, each half is fixed at the moment of their separation and you just don’t know what’s in the envelopes until you open one. That’s not how entangled particles work though, and which “half” is which is not determined until the instant of measurement, at which point the state of both are known and fixed.
I’m open for counterarguments, but I always felt this was a silly way of looking at things. You cannot measure stuff at the quantum level without significantly altering what you measured. (You can never measure without altering what you measured, since we typically blast stuff with photons from a light source to be able to look at it, but for stuff that’s significantly larger than photons, the photons are rather insignificant.)
As such, you can look at measuring quanta in two ways:
Well, and isn’t quantum entanglement evidence for 1.? You entangle these quanta, then you measure one of them. At this point, you already know what the other one will give as a result for its measurement, even though you have not measured/altered it yet.
You can do the measurement quite a bit later and still get the result that you deduced from measuring the entangled quantum. (So long as nothing else altered the property you want to measure, of course…)
Something something Bell’s Theorem. I don’t really understand it but that one was supposed to be counterevidence to hidden variables.
“it can’t be hidden variables because they’re not as even as this math says they should be!” really just seems to be the whole QM field agreeing to stop arguing about spooky action at a distance.
The distinction between wave-functions as real things that collapse at superluminal speed and the same as mere mathematical placeholders for deterministic local effects which occur without subjective time seems to be a semantic and philosophical one, similar to the “multiple realities” explanation of quantum uncertainty or the “11 dimensions” explanation for why gravity is weaker.
As a practical matter, the only thing that students and non-physicts should remember is that wavefunction collapse allows superluminal coordination but not superluminal communication.