Have been considering the ToK through the complexification lens and wondering what the specific quantitative metrics might be in each domain of complexification. Each new information system would complexify along its own trajectory, meaning the specific metric used to measure it would be different than the one before. Moreover, each metric would be dependent upon and relate to the ones on which it rests. Here's what I was playing with:

At the level of matter, I think the work of Eric Chaisson on cosmic evolution is helpful, and he uses the free energy rate density (Øm) as his metric.

At the level of life, some preliminary searches yielded genomic complexity (C) as a potential metric, as according to the work of Adami, Ofria, and Collier (2003), but I suspect there is better/more recent work on measuring biological complexity.

At the level of mind, I was wondering whether IIT would be the best fit, which uses the metric of Ø of increasing sentience.

Finally, at the level of culture, I'm intrigued by the potential for the Model of Hierarchical Complexity to measure justification systems and other cultural phenomena.

Again, each new metric would map onto the other, such that Øm would increase as C increased as Ø increased as MHC increased. That's a hypothesis, anyway.

Perhaps I'm re-inventing the wheel here, so let me know if there's already work that's done this. But I wanted to hear people's perspectives on the prospect of identifying different complexity metrics for each unique level of the stack.

Cheers,

Brendan