'. . . fractional deviations in these constants are not arbitrary, but correspond precisely to
the geometric cross-sections of “Sturmian worms” (topological defects) required to enforce
aperiodicity.'
https://indico.phy.anl.gov/event/2/contributions/19/attachme...
The ratio of the electron mass to, I dunno, the top quark mass might be a fundamental quality that can be calculated in a few lines, but I've been seeing outsiders write simple formulas for mₚ/mₑ for most of my life and haven't been impressed.