[andrewflnr]

"Compressibility" is really not that great an illustration for physical entropy. Information-theoretic entropy is not quite the same thing as physical entropy, but close enough to confuse you if you're not paying attention.

[XorNot]

I'm going to need an example on the differences, because in so far as statistical entropy is entropy - it's ultimately describing an information function (and the lean in quantum mechanics these days is that information is describing physical properties as well - hence holography and the blackhole information paradox).

The heat-deathed universe for example would be the ultimate compressible information: 1 measurable state, across all space, for the rest of infinite time.