The relative nature of time is kind of what Mercati is working with (I think). He's trying to describe entropy using only a self-relative framework. That is, without using fixed metrics like temperature or distance in an absolute frame of reference.
There was another article about this on HN previously.[1]
Why is it that the causal relations existing as a result of elementary forces spreading from one particle to another only ever change in one direction in time? When you map the space of the universe onto two dimensions, you see the effects of forces radiating from their origins as circles. But when you reduce all of space to one dimension and add another dimension of time, those forces only appear as cones, all pointing the same direction. What is stopping the forces from flowing backward, or even sideways in time? The math we're using gives no indication why this is the case. That's what has physicists scratching their heads.
There was another article about this on HN previously.[1]
Why is it that the causal relations existing as a result of elementary forces spreading from one particle to another only ever change in one direction in time? When you map the space of the universe onto two dimensions, you see the effects of forces radiating from their origins as circles. But when you reduce all of space to one dimension and add another dimension of time, those forces only appear as cones, all pointing the same direction. What is stopping the forces from flowing backward, or even sideways in time? The math we're using gives no indication why this is the case. That's what has physicists scratching their heads.
[1] https://news.ycombinator.com/item?id=8561654