Interesting, but it seems like a stretch. I think the author effectively calls into question his central thesis in his introduction section:
I doubt very highly that this approach, while mathematically interesting, will yield much. A living thing is not an isolated system. The drive toward something that will be more efficient at dispersing energy (increasing entropy) is not ipso facto going to arise just because a more efficient state exists. That efficient state, itself, carries energetic costs to assemble.
This feels like when physics teachers talk about "tunneling" and give examples related to tennis balls passing through a wall spontaneously. It won't happen because the macro behavior doesn't translate from the micro behavior.
He starts with a chemical test (phosphodiester linkage formation) and extrapolates to bacterial division?