The applications of this idea/discovery -- precision in time measurement increases whenever entropy increases -- still seem unclear though, even assuming correctness. They are also not explaining *how* the increase of one quantity relates to the increase of the other, at least from what I could see by browsing this article in five minutes. I bet the next physicists will come up with a logarithmic/polynomial/exponential function to explain the phenomenon, assuming it's further confirmed by experiments, but none of that seems to appear in the current paper ;-) Cheers.