Beautiful Analogue of Quantum Mechanical Phenomena

This is really wonderful to watch! See Eric Laithwaite on Understanding Analogues.

Here's a video about Louis de Broglie and his famous PhD thesis.

Here's an introduction to Bohmian mechanics, or Pilot Wave theory from Looking Glass Universe:

Now, on the non-local nature of quantum spin measurement demonstrated by the EPR-type experiments, bear in mind Laithwaite's advice that you don't need to completely understand an analogy before you use it to explain something else, watch this:

Which is about this Russian film:

Now watch this CrazyRussianHacker video demonstrating how the magnetic spikes developed by a ferrofluid in a magnetic field are the result of a dynamic interaction between the magnet and the ferrofluid particles.

This interaction is the same way that the lines which develop in iron filings when they are sprinkled onto a sheet of paper with a magnet underneath, are the result of a non-linear dynamic process where the magnetic field developed by the iron particles interacts with the field of the magnet which induced it in the first place. So the analogy I am suggesting is that the "quantization" in the Stern-Gerlach experiment is also explained by this sort of dynamic pilot-wave theory where the particles are the result of self-interactions with the fields which produce them. This sort of dynamic self-interaction can fairly easily explain the "contextuality" of spin-measurements:

As for the non-local hidden variable involved in spin measurement, see this essay on The Logic of Aristotle for a philosophical explanation of why we cannot reduce whole phenomena to being effects of properties of parts which are logically prior. In particular, note Section 13 on page 26, and section 5 on page 9. See also Aristotle on The Continuum.

Here's an interesting bit about spin and charge of electrons:

See also this talk by Carlo Rovelli, at 14 minutes 51 seconds, where he describes Werner Heisenberg's thoughts on the nature of electrons whilst walking at night in a park.

Imanes y miraglos, ...Pink Floyd - High Hopes.

And on the classical dynamics of spunning objects, see this discussion on mathoverflow.net:

Vladimir Dzhanibekov who observed this in 1985 is a famous Russian cosmonaut http://en.wikipedia.org/wiki/Vladimir_Dzhanibekov He was in space 5 times (as far as I know he is the champion in this). In 1985 his "mission impossible" was saving the Soviet space station "Salut-7" which due to some problems had run out of control...

If this can be explained I think it can be a beautiful illustration for students in lectures on rigid body mechanics... Also if one would want to add some humor in such a lecture one may add that our Earth is this kind of finger nut so it might also do such things ... (Maybe it really can?)

To which I will add, maybe it already has done so? Talk about climate change!

Derek Muller's discussion at 10 minutes 29 seconds does not to take into account the possibility of changes of the magma flows inside the earth, ...

But, back to Quantum Mechanics, here is another analogue that might prove fruitful when thinking about how continuous global conditions can constrain the possible outcomes of discrete measurements, watch these two videos:

... then this update, which connects the aforementioned problem to a discrete combinatorial condition, ...

It might be thought-provoking to consider that problem in this context, which is that of Conway and Kochen's Free Will Theorem:

If you want to skip the embarrassing introduction, go straight to 3 minutes 33 seconds.

See https://en.m.wikipedia.org/wiki/Free_will_theorem and also this discussion of consciousness and free will: On Free Will and Conscious Awareness.