Also, how is clumpiness defined? Something like variance of the distance between particles? Or maybe something like how warped spacetime is? I would imagine a uniform universe to have spacetime with something like a constant curvature while a lumpy universe would have a curvature which would...
Why is clumpiness important? (Obviously, it's important in the sense that humans care about our existence which depends on lumpiness, but that's very subjective.) Specifically, I've often heard it said that the arrow of time is best understood as the product of the early universe having low...
My understanding is that to define the entropy of a system what you have to do is as follows:
Define the boundaries of your system.
Define a set of "microstates" of the system.
Define a partition of microstates of the system where each element of the partition is measurable and known as a...