I'd like to warn against paying too much attention either to
thermodynamics or Shannon communication theory. The former is a tarpit
(e.g.: the unit of information is area, because the surface area of a
black hole is proportional to the amount of information lost into it)
and even if there were consensus within physics on what it is, there's
no reason to think it would have any bearing on curation of
biological ... information. Shannon "information" was invented for a
single limited purpose and is only a mathematical model intended to
develop quantitative results around coding and communication channel
capacity. To read too much into Shannon's (or physics's) definition of
the term "information" would be as silly as reading anything into the
mathematician's choice of words such as "group" or "field" or
"catastrophe". Yes, there's a connection in each case, but it's the
relation of a specialized theoretical model to some very narrow slice
of reality that has little bearing on the slice we care about.
The null hypothesis should be that neither of these disciplines has
anything to contribute to the construction of the ontology needed in
the service of OBI, BFO, or anything else connected with biomedical
research. It doesn't hurt to case a wide net, but I think the starting
points for IAO should be use cases, the community's ontology needs,
and common sense.
Jonathan