This series is great. But, I’m having a little trouble understanding the fourth diagram, the one with the folded configuration space.
I sort of get it: the original configuration space distinguished between two particles, which is wrong, so in reality only half of the configuration space’s area matters when it comes to information. But I don’t get how that means you delete the probability from half of the space. Why is it wrong to make the space symmetrical across the diagonal line? It seems a little arbitrary to me; is there a physical reason, or is this a standard thing to do?
Also, I don’t get why “this identity cuts down the size of a 2-particle configuration space by 1⁄2, cuts down the size of a 3-particle configuration space by 1⁄6, and so on.” What’s the relationship from 1⁄2 to 1/6? What comes after that? Why isn’t it 1⁄2 to 1⁄4 to 1/8?
Thanks, that explains the 1⁄2, 1⁄6, etc. thing. So 1⁄24 is indeed next.
I still don’t get the folding thing (vs. making the picture diagonally symmetrical) very much, but I kind of get it, so I’ll leave it be.