Output and price level behavior across several economies

I thought I'd aggregate the price level vs monetary base (which I've shown before at this link) and nominal output vs monetary base data into graphs and compare them with their expected behavior in the information transfer model (using 100 aggregated economies each built from 100 random markets based on the results at this link).

The result is pretty remarkable:

Note that this not only reproduces the relative curvatures of the theoretical graphs, but their variance (the nominal output vs monetary base being a tighter curve than the price level vs monetary base). Another interesting aspect is that the overall behavior only becomes apparent when looking at the time series for many countries.
This model unifies "the Great Stagnation"/"secular stagnation" and "neo-Fisherite" models in a larger synthesis. The slowing of economic growth and prolonged low interest rates leading to lower inflation are two facets of the same general behavior of economies. The concept of convergence (smaller economies experiencing "catch-up" growth) also falls under this general behavior.