The trick will be to what "axioms" we incline.
As Lam was still crying ""foul or belly aching before even seeing how I would represent truely random processes I think before I start to present my own work I will stick to arguing from some points in Gladyshev's as any evolutionist who wants to disgree with Gladyshev is going to have a lot if not too much explaining to do and so here a highlight relative to this thread head I hyperlinked in another thread.
Gladyshev wrote,
quote:
In the final analysis, the DNA structure determines the structure of a population. At the same time, the existence of feedback makes it possible to transcribe, for instance, the newly emergent behavioural reactions of a population (ones that are shaped in consequence of environmental changes) as new nucleotide sequences in DNA and RNA molecules. This should not be surprising if one bears in mind the existence of the law of temporal hierarchies and examines the processes of transcription of thermodynamic information (transmitted from one hierarchical level to another) on the given time scales. The principle of the stability of substance of all hierarchies (in particular, the principle of stability of chemical substances) [4,9] makes it possible to explain the reasons of the practically illimitable evolution of the biological world in terms of general laws of nature.
We see that the processes of direct reading off of information from DNA and its transmission to the level of population, on the one hand, and the reverse processes of adaptation of lower-lever structures to the nature of the structures located at a higher hierarchical level (i.e., the nature of the environment) have different development rates.
If one assumes any kind of "feedback" (the place in this quote to disagree with GP if on researching the subject results etc) as describably out of the second paragraph I truncated then the answer to the question posed here is some relation of "thermodynamic information" to the bits"". My concern elsewhere will be if there is not some more homogenously desginable solution to the same subject matter. Crashfrog has already opted out that it is all "chemical" but we saw recently a thread discussing "perfect wiring" and should this connection be that way I see no reason on what little understanding I have of macrothermodynamics relative to the issue of finding said axioms that the algorhtim or word of a more complex program need be so limited to covalent bonds vs ionic as we well likely even techincally come more to appreciate as fiber optic communications come into there own.