Fantastic! I certainly don't want anyone to think this is "incidental," because who the hell gets excited over that?

I'm excited about this research and especially about the idea of understanding typography through mathematics.

As far as "arbitrary formulae" are concerned, Golden Ratio Typography does take one giant leap past the arbitrary selection of line heights and/or line widths:

The font size, line height, and line width are all constrained and related to one another mathematically. This relationship ties the three dimensions together in a way that arbitrarily selected values for these dimensions cannot.