It's a common trope for physics crackpots to try to find closed expressions for things like the fine structure constant, electron/proton mass ratio, etc. The latter is completely nonsensical today because the proton isn't an elementary particle.
I got thinking about the "crackpot physics" subject again because about two weeks ago there were a series of crackpot physics posts to Hacker News by a woman. It might be "You've come a long way baby" but I'd want to check that it isn't a trans woman before announcing that.
(... certainly you see more men than women in real physics but you have Emmy Noether, Lisa Randall, Elise Meitner, Vera Rubin. It's men who get the idea that they are 'very special' and have 'unique insights'.)