This is the trillion dollar question I think.

In principle each of the dimensions should be quantifiable. In physics there were centuries of improvements in the accuracy and precision of the denominators.

I think these principles are rooted in physics and information theory, and the mathematics of networks, probably the kind of mathematics that describes bose-einstein condensates or something like that. But I'm a million miles away from being able to define the units or to determine how to measure the sovereignty of a social system.