- Jun 8, 2021
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This question actually stems from my pondering of the notion of free will. But in the process of thinking about free will I was forced to consider the concepts of quantum indeterminacy and wave function collapse, and those questions are better suited for a sciencey forum like this one.
So here goes.
I only have a 9th grade education so I tend to be a visual thinker. Give me a good gedankenexperiment and I can be lost for hours of pointless mental meandering. A good example of this is 'Schrodinger's cat'. But the more that I consider this seemingly elegant thought experiment, the more confused I get.
One of the main sticking points of Schrodinger's cat is the question of whether the cat is dead, alive, or a combination thereof, before we open the box. There are those who'll argue that the cat was either dead or alive long before we opened the box, for the simple reason that the 'environment causes collapse'. Initially this seems like a logical explanation because the box is full of stuff to interact with... there's the cat, and the detector, and the bottle of poison, and the hammer, and the emitter, and the walls of the box, and the air... that's a lot of stuff for a radioactive decay particle to weave its way through undetected.
Thus the dilemma is resolved, the environment causes collapse, there is no dead and alive cat.
But if you're anything like me then your stupid brain won't stop thinking, and here's what my stupid brain thinks. It's easy to consider the environment as all of this physical 'stuff', but in reality everything in the box, and even the box itself is nothing more than a bunch of indeterminate particles, absolutely no different from the one that I'm concerned about measuring. There's nothing special about those other particles. They're no more entangled with the environment than the particle that I'm concerned about measuring. That radioactive decay particle was emitted by the environment just like all those other particles were. So if those particles are entangled with the environment, then by the same reasoning, so is that radioactive decay particle. But instead, everything inside that box is one big indeterminate cloud of particles.
So that's the first thing that my brain starts to do. It stops visualizing the environment as a bunch of stuff, and starts visualizing it for what it really is, a nebulous cloud of probability. There's nothing different or special about my radioactive decay particle, compared to any other particle.
The second thing that my brain gets confused about is the state of the radioactive emitter. Because until something happens to collapse the wave function, the emitter is also in a state of indeterminacy, of having both emitted, and not emitted a particle. Which means that it has always emitted a particle. There's never a point in time when it isn't in an indeterminate state of having emitted a particle. And this idea can be extended to every other particle in the box. They're all in an indeterminate state of having interacted with that potential radioactive decay particle, and not interacted with that radioactive decay particle. There's never a time when that potential radioactive decay particle isn't being interacted with by a practically infinite number of other indeterminate particles.
This is the point at which my brain gets really confused, because if every particle in the box can be said to have potentially interacted with every other particle in the box, with a greater or lesser degree of probability, then what makes one particular interaction of such preeminent importance that it collapses the entire wave function, and we go from an infinite number of possibilities to just one?
What is it about one particular arrangement of that cloud that makes it collapse the wave function when none of the others do, and if none of them have any particular significance, then what makes it reasonable to assume that one of them just randomly will?
This is where we come full circle back to the question of free will, and the significance of an observer. Because the observer is the only thing that would seem to have a unique perspective that nothing else does... at least relative to me. And if I'm not the cause of the collapse, then that collapse would appear to be random, and how do random events create a determinate reality? @Bradskii, a la Schrodinger, we've got a cat walking around for no other reason than sheer dumb luck.
Now I'm pretty darn sure that me and my 9th grade education have screwed something up in this... I'm just wondering what the heck it is. I'm not here to argue. I'm here to find out where I'm wrong.
So here goes.
I only have a 9th grade education so I tend to be a visual thinker. Give me a good gedankenexperiment and I can be lost for hours of pointless mental meandering. A good example of this is 'Schrodinger's cat'. But the more that I consider this seemingly elegant thought experiment, the more confused I get.
One of the main sticking points of Schrodinger's cat is the question of whether the cat is dead, alive, or a combination thereof, before we open the box. There are those who'll argue that the cat was either dead or alive long before we opened the box, for the simple reason that the 'environment causes collapse'. Initially this seems like a logical explanation because the box is full of stuff to interact with... there's the cat, and the detector, and the bottle of poison, and the hammer, and the emitter, and the walls of the box, and the air... that's a lot of stuff for a radioactive decay particle to weave its way through undetected.
Thus the dilemma is resolved, the environment causes collapse, there is no dead and alive cat.
But if you're anything like me then your stupid brain won't stop thinking, and here's what my stupid brain thinks. It's easy to consider the environment as all of this physical 'stuff', but in reality everything in the box, and even the box itself is nothing more than a bunch of indeterminate particles, absolutely no different from the one that I'm concerned about measuring. There's nothing special about those other particles. They're no more entangled with the environment than the particle that I'm concerned about measuring. That radioactive decay particle was emitted by the environment just like all those other particles were. So if those particles are entangled with the environment, then by the same reasoning, so is that radioactive decay particle. But instead, everything inside that box is one big indeterminate cloud of particles.
So that's the first thing that my brain starts to do. It stops visualizing the environment as a bunch of stuff, and starts visualizing it for what it really is, a nebulous cloud of probability. There's nothing different or special about my radioactive decay particle, compared to any other particle.
The second thing that my brain gets confused about is the state of the radioactive emitter. Because until something happens to collapse the wave function, the emitter is also in a state of indeterminacy, of having both emitted, and not emitted a particle. Which means that it has always emitted a particle. There's never a point in time when it isn't in an indeterminate state of having emitted a particle. And this idea can be extended to every other particle in the box. They're all in an indeterminate state of having interacted with that potential radioactive decay particle, and not interacted with that radioactive decay particle. There's never a time when that potential radioactive decay particle isn't being interacted with by a practically infinite number of other indeterminate particles.
This is the point at which my brain gets really confused, because if every particle in the box can be said to have potentially interacted with every other particle in the box, with a greater or lesser degree of probability, then what makes one particular interaction of such preeminent importance that it collapses the entire wave function, and we go from an infinite number of possibilities to just one?
What is it about one particular arrangement of that cloud that makes it collapse the wave function when none of the others do, and if none of them have any particular significance, then what makes it reasonable to assume that one of them just randomly will?
This is where we come full circle back to the question of free will, and the significance of an observer. Because the observer is the only thing that would seem to have a unique perspective that nothing else does... at least relative to me. And if I'm not the cause of the collapse, then that collapse would appear to be random, and how do random events create a determinate reality? @Bradskii, a la Schrodinger, we've got a cat walking around for no other reason than sheer dumb luck.
Now I'm pretty darn sure that me and my 9th grade education have screwed something up in this... I'm just wondering what the heck it is. I'm not here to argue. I'm here to find out where I'm wrong.