In a previous thread, I brought up the subject of entropy being subjective and got a lot of interesting responses. One point of contention was that if you know the positions and velocities of all the molecules in a hot cup of tea, then its temperature is actually at absolute zero (!). I realized that the explanation of this in usual terms is a bit clumsy and awkward. I'm thinking maybe if this could be explained in terms of reversible operations on strings of bits (abstracting away from molecules and any solid physical grounding), it might be easier to precisely see why this is the case. In other words, I'm looking for a dynamical systems interpretation of this idea. I googled a bit but couldn't find any accessible material on this. There's a book about dynamical systems approaches to thermodynamics but it's extremely heavy and does not seem to have been reviewed in any detail so I'm not even sure of the validity of the arguments. Anyone know of any accessible materials on ideas like this?