So we’ve shown how probabilities can be expressed as vectors, how different random variables can be encoded in the same vector space, how you can rotate between them, how this gives rise to uncertainty and interference, why we need complex numbers, and how the whole thing translates into continuous distributions.
With all that done, we can finally move on to Quantum Mechanics. Here’s a short taster that derives the Schrödinger equation.
I was going to explore a little bit more of QM itself, but I think that’s probably best left to the experts. This has been fun. I might do some more physics videos in the future.