- Is his generalized thesis that the inverse square law itself, that is so common in physics, is a result of the low pass Kolmogorov filter?
I'll pass the question along, but yes, that is the general thrust of the paper. The def. of causality was imo brilliant. Also note the remark regarding the threshold of broken symmetries is the most tantalizingly clue informing the pervasive phenomena of phi/fibonacci in natural systems I have found to date.
Have you come across D'Arcy Thompson? He spent great effort in his career trying to generalize convergent trends in evolution based on simple mathematical models (well, as simple as he could make them). He was writing before information theory was discovered. I suspect that if physical laws are generalize-able from information theory that evolutionary trends must be, as well, given that species are forged as one possibility among seemingly infinite states. (Interestingly, I first came across Kolmogorov when studying mathematical biology; there's a strange convergence!)
(Yes. I love On Growth and Form. [arch school days and my obsession to create a morphological system for generating buildings. Remember that drawing?])