Is quantum mechanics mystical or just unintuitive?
After watching What the bleep?! the other day, I’ve been thinking about something that they said in the movie, i.e., that quantum mechanics is “utterly astounding” or “magical”. They really pushed the connection that because quantum mechanics is mystical, and mysticism is, well, mystical, that the two must be related. That quantum mechanics is astounding is probably up to personal opinion (and how long you’ve been studying it!) but should it be considered magical or mystical? I would argue that quantum mechanics is just unintuitive and unfamiliar, and that once you’ve learned about it and understand it a bit more it’s not magical. It’s a little hard to exactly put into words what I’m saying here, and were it not for the recurring nightmares I should probably see the movie again, but I hope you get the gist.
What makes QM seem mystical? Things like quantum tunneling (the ability to pass through barriers), superpositions (being in two places at once) or entanglement (”spooky action at a distance”, where the state (or fate) of two objects becomes linked, no matter how far apart they are). These are all strange and bizarre, no doubt, and are literally straight out of the pages of science fiction. Yet physicists claim that these are the underlying laws of the universe - something that many people have a hard time believing.
I think the point is, though, that these effects aren’t “weird” or “mystical” - they’re just unfamiliar since they don’t apply to world on the scale where we usually interact. There are other laws of physics that we take for granted, even though they predict equally astounding things - take gravity for example. Imagine that you’d lived your whole life on a space ship in deep space, far away from any stars or planets. Your whole life has been in zero-G, and you’ve never even heard of gravity. Then, one day, your captain brings you news of this strange theory of gravity which says “every object attracts every other object”. This seems pretty strange and unlikely - after all, objects don’t clump together as it floats around the ship, and nor do you stick to the walls. And why should you? Why should objects attract at all? It would probably sound intuitive, and probably flat out wrong. But if you studied the theory close enough, you’d realise that it just never mattered to you before because you’d never been near anything big enough or worked with anything small enough. If, however, you could go and visit a planet, or carried out some simple but subtle experiments, you’d find that the theory of gravity explains everything very nicely, and you’d probably come to accept it.
Similarly, quantum mechanics makes predictions which are very hard to understand in terms of what we’re used to. But a few simple experiments give you a tantalising hint of the truth, and eventually quantum mechanics becomes, if not intuitive, then at least acceptable. I’ve been at it for a mere six years or so, so I can’t claim to understand quantum mechanics, but things like tunnelling or wave-particle duality don’t freak me out anymore. And I think a part of it, too, is that science shows and books love to make a big thing about how strange quantum mechanics is (”it’s both a particle and a wave! Oooooh!”).
So I’m not sure what the real aim of this meander was - I guess just to point out that the predictions of quantum mechanics aren’t really as bizarre as they’re often made out to be. They’re different, unfamiliar and at times counter-intuitive, but there’s nothing magical about it!
A relevant quote from John von Neumann (who I think came up with the modern (rigorous) Hilbert space approach to quantum mechanics):
“Young man, in mathematics we don’t understand things, we just get used to them!”
I saw this movie too and thought the makers of it were trying to squeeze far too much into the tiny gap that quantum mechanics leaves open for mental causality. But the visuals were fun (and enlightening) and the message about not becoming addicted to neurochemicals that make you unhappy was a good one.
I was fascinated by (and fairly sceptical about) the claim that European ships were invisible to the people of South America when they first appeared on the horizon but I have since thought of two examples where something as large as a person was invisible in circumstances where s/he was completely out of context, so perhaps the claim is true.
I agree - it did have some interesting messages in there, and it’s a pity it didn’t focus more on the messages, and less on the quantum mechanics!
Out of curiousity, what were your examples of something large, but out of context, being invisible?
Regarding the invisibility of ships, there is an amazing effect known as ‘attentional blink’, which sounds very similar: if you are paying heavy attention to some aspect of what you are seeing, your mind blocks out other stimuli. The classic experiment to show this (results published under what has to be one of my all time favourite paper titles: “Gorillas in our midst”) involved subjects watching a video with a group of people passing a basketball to each other. The subjects were instructed to count the number of passes of the basketball. Afterwards they were asked whether they perceived anything unusual during the video. Only a small fraction of subjects (30%, I think) noticed that a man in a gorilla suit walked through the middle of the group!
Perhaps more relevent to the ‘invisible approaching ships’ is the ‘change blindness effect’: If changes are made to a visual scene slowly, or the image is ‘flashed’ on and off with a change made each time, it can be remarkably difficult to see what the change actually is — even for very large changes. To see a great demo of this, have a look at this!
Love the demo! That’s so amazing - I couldn’t believe the plane one, in particular. I just didn’t see it until I put it on no gap.
The gorillas one was awesome - it won an Ig Nobel year, which was how I found out about it, and I totally didn’t see it. I even knew the summary of the award (”…not even a man in a gorilla suit!”) and completely got caught by surprise when I decided the repeat the test to check my count before looking at the answers, and suddenly noticed this gorilla! Totally awesome!
If you accept that things are operators, then it becomes intuitive to think of it as obvious that observables are Hermitian operators, and if states didn’t live in a Banach space, then Cauchy sequences of states wouldn’t converge to a state, and that would be really weird.
I sometimes ponder which of quantum mechanics and relativity is most intuitive. I have far less problems with QM than GR, but perhaps that’s because I’ve only done one semester of GR.