Hi Rene! Of course, I am looking for a great constructive feedback!
Yes, there is some sort of relationship with the container first. The container is the entire primitive ocean, or better layers of the ocean with different circulation paths.
The information is merely to stay bellow a certain level or above a certain level. This is too simple, but that's the most basic information life can carry without a system specialized in carrying information, like DNA. I tried to explain in the papaer how these informations could accumulate, that is, where currents would cross, they would mixture. In this case, more layers of control could accumulate.
Note that when currents meet, there is turbulance, so, this would be the first selecting pressure life, as I defined, would suffer. The selection would be, since there is no protection barrier to protect contents, like a cell, more sturd reaction would be selected. In this sense, a more stable reaction would "survive".
So, while currents of the ocean ciculated, this more complex reaction would be selected and spread to other currents. The overall chemichal composition of the oceans would change gradually because of these. There would be inputs from impacts from asteroids, input from volcanoes and so on. But, so, these would be inputs that would disturb the life as I put it, which would force them to gradually accumulate more and more complex reactions, that would further increase the chemistry of the oceans or many of its currents.
Note that deeper in the ocean, there are currents that passes through vents. But these are very turbulent, at a time, some very mechanism would be sturd enough enter one of those and begin to use the organic reactions there.