The individual electron just behaves randomly in a way that we can only predict statistically and not absolutely.
That’s the non-boring part, for lack of a better expression. Quantum Mechanics only predicts the outcome for an ensemble, and that imperfectly. It can say nothing at all about the outcome for a single particle.
Well, what is boring and non-boring I guess is in the eye of the beholder. What I moreso was referring to is what is difficult to wrap your head around.
The nondeterminism is kind of unavoidable as long as you don’t want to change the mathematics of the theory itself, but I also don’t really consider nondeterminism to be that unintuitive or difficult to “understand.” I mean, throughout most of human history, it wasn’t that common for humans to actually believe in determinism in the Laplacian sense of being able to make absolute prediction to the future based on complete knowledge of the past, that was largely popularized with the rise of Newtonian mechanics, and even by the 19th century you had even a lot of materialist philosophers calling it into question on grounds of logical consistency. Personally, I think the strong desire to maintain Laplacian determinism is really a physicist thing. They work with Newtonian mechanics first and it becomes so intuitive some don’t want to let it go when it comes to quantum mechanics. But I doubt if you went and talked to the average person, most probably wouldn’t be that strongly adherent to Laplacian determinism.
The kinds of views I was talking about are more things like people who try to interpret the state vector as literally representing a physical wave spreading out in space that collapses like a house of cards when you perturb it, or try to envision a literal multiverse where everything is just a big “universal wave function.” A lot of these bizarre views are not only unintuitive but literally impossible to visualize, and they run into a lot of problems in logical consistency and there have been mountains papers and books published on the subject trying to work out all the conceptual issues. If you are a person just learning QM and the philosophical interpretation around it bothers you, if you listen to people who talk about these weird things, you will need to read through dozens of books and maybe even hundreds of papers just to get a general idea of what is going on, and even then most of these interpretations still have not resolved their mountain of conceptual issues.
To me this really bothered me when I got into quantum computing for the first time. I wanted to not just learn the math but have some sort of intuition of what is actually going on. I then went down a rabbit hole of reading tons and tons and tons of books and academic papers to try and find some way to make the math make sense on a philosophical level. Most of the mainstream views you see in the popular media just overcomplicate things for no reason because the person wants to make QM sound more mystical than it actually is. What I ultimately came to realize is that most of this confusion is just self-imposed in the sense that they are based on assumptions which are not actually demanded by the mathematics and entirely optional (such as interpreting a list of probability amplitudes a literal entity in a physical space) and thus most can be stripped away.
You can’t strip away every aspect of QM that makes it unique, because it clearly does differ from classical mechanics, but by dong this you do really hone down on what actually makes QM unique and what is genuinely an unavoidable consequence of the mathematics. And what you get down to is just interference effects, which arise from the fact that probability amplitudes are complex-valued, thus can cancel each other out, which can’t occur in classical probability theory. Nondeterminism and context-dependence then follow from this as a necessity for the theory to be logically consistent, but both of those are fairly easy to have an intuition for.
That’s the non-boring part, for lack of a better expression. Quantum Mechanics only predicts the outcome for an ensemble, and that imperfectly. It can say nothing at all about the outcome for a single particle.
Well, what is boring and non-boring I guess is in the eye of the beholder. What I moreso was referring to is what is difficult to wrap your head around.
The nondeterminism is kind of unavoidable as long as you don’t want to change the mathematics of the theory itself, but I also don’t really consider nondeterminism to be that unintuitive or difficult to “understand.” I mean, throughout most of human history, it wasn’t that common for humans to actually believe in determinism in the Laplacian sense of being able to make absolute prediction to the future based on complete knowledge of the past, that was largely popularized with the rise of Newtonian mechanics, and even by the 19th century you had even a lot of materialist philosophers calling it into question on grounds of logical consistency. Personally, I think the strong desire to maintain Laplacian determinism is really a physicist thing. They work with Newtonian mechanics first and it becomes so intuitive some don’t want to let it go when it comes to quantum mechanics. But I doubt if you went and talked to the average person, most probably wouldn’t be that strongly adherent to Laplacian determinism.
The kinds of views I was talking about are more things like people who try to interpret the state vector as literally representing a physical wave spreading out in space that collapses like a house of cards when you perturb it, or try to envision a literal multiverse where everything is just a big “universal wave function.” A lot of these bizarre views are not only unintuitive but literally impossible to visualize, and they run into a lot of problems in logical consistency and there have been mountains papers and books published on the subject trying to work out all the conceptual issues. If you are a person just learning QM and the philosophical interpretation around it bothers you, if you listen to people who talk about these weird things, you will need to read through dozens of books and maybe even hundreds of papers just to get a general idea of what is going on, and even then most of these interpretations still have not resolved their mountain of conceptual issues.
To me this really bothered me when I got into quantum computing for the first time. I wanted to not just learn the math but have some sort of intuition of what is actually going on. I then went down a rabbit hole of reading tons and tons and tons of books and academic papers to try and find some way to make the math make sense on a philosophical level. Most of the mainstream views you see in the popular media just overcomplicate things for no reason because the person wants to make QM sound more mystical than it actually is. What I ultimately came to realize is that most of this confusion is just self-imposed in the sense that they are based on assumptions which are not actually demanded by the mathematics and entirely optional (such as interpreting a list of probability amplitudes a literal entity in a physical space) and thus most can be stripped away.
You can’t strip away every aspect of QM that makes it unique, because it clearly does differ from classical mechanics, but by dong this you do really hone down on what actually makes QM unique and what is genuinely an unavoidable consequence of the mathematics. And what you get down to is just interference effects, which arise from the fact that probability amplitudes are complex-valued, thus can cancel each other out, which can’t occur in classical probability theory. Nondeterminism and context-dependence then follow from this as a necessity for the theory to be logically consistent, but both of those are fairly easy to have an intuition for.