The name "Ballmer Peak" is a Physics nerd pun.
In atomic physics, "Balmer peaks" (with one L) are real physical phenomena, referring to peaks in the emission spectrum of hydrogen (named after the 19th century scientist Johann Balmer). Randall Munroe of XKCD fame was certainly familiar with this when he coined the phrase "Ballmer peak".[0]
[0]https://www.explainxkcd.com/wiki/index.php/323:_Ballmer_Peak...).