Statistical Mechanics - What Are the Atoms of Space?

Economics has been using distributions than are more like this one. The whole idea is that maybe you don't need to know the mean, you need to know other properties. Just like there are discreet gas molecules bouncing round in boxes to make fluids and things, so also, there are a kind of discreet atoms of space that make space time and so on. So if i maximize anthropy under no constraint, i don't know if you can get a distribution under no constraint. I think under no constraint you get cushy oriverso if you maximise anthropy under constraint of variance, and a mean end variance, i think i have the mathematical filed here somewhere, you get a ga