3 ms·
I started reading last night to try to give you some feedback, then bedtime for my kids arrived, etc. I haven't found a way to start people into quantum mechan
by madhadron 7y ago
I started reading last night to try to give you some feedback, then bedtime for my kids arrived, etc.
I haven't found a way to start people into quantum mechanics that I like. All the material on states and superposition really doesn't help unless you've got a lot more math than a highschooler does. It also is a complete departure from the previous material because suddenly it's this mass of abstraction without reference to a physical system.
The best that I've found so far goes something like this:
When we talked about a ball flying through the air, we talked about its path. But our eyes can only distinguish changes that take at least a thousandth of a second. A camera takes a series of snapshots. We idealize that we can do 2000 measurements, or 4000, or any number and so in the usual passage from discrete to continuous we get the idea of a bath.
Implicit in this is that shining a light on the ball and measuring where it is has negligible effect on the ball.
But when we assume quantization, when we assume that there are photons and leptons, smallest particles and smallest units of interaction, we reach a point where we can't neglect the effect of the measurement. Any interaction that lets us measure it will disturb the system. So if we double the frame rate of our measurement, we disturb the system twice as often, so measuring it at 1000fps is not the same as measuring it as 2000fps and ignoring half of the frames. The more often we measure, the more disturbance we have, and it doesn't converge to a path anymore.
It's probably worth pausing and pointing out that a measurement here is linking what occurs from the interaction with the system we're measuring with a macroscopic, irreversible process. For example, a photomultiplier tube where a single incoming electron kicks off a cascade of more electrons, which kicks off even more in the next layer.
But if a measurement consists of this giant thing, and more measurements don't converge to a path, there's this big gap. Is there actually an underlying position of the particle outside of that measurement? It's not accessible to us, even if there is.
And at this point you go straight into Bell's inequalities to rule out hidden variables.
There's a lot of pedagogical problems with this, but I feel like it's the most promising route I know of.
- lilgreenland 7y agoGood improvement, I've added "include something about the nature of measurement and irreversibility to QM notes"