This might be the silliest post I’ve written so far (yes – worse than “Was Disney trying to kill mathematicians?”). I urge you to stop reading now unless (i) you are quite familiar with the mathematical notion of energy (e.g., additive energy), and (ii) you have a horrible sense of humor.
The term energy was coined by Tao and Vu. I like “energy” as a name for this object, but I never had a good answer when asked why this is how it’s called. That is, until a referee report provided me with an answer. And this wonderful referee probably didn’t even know it.
In a recent paper, Cosmin Pohoata and I used “color energy”. We have a graph with colored edges. Denote the color of an edge as . The color energy of is
The referee complained about our notation for the multiplicity of a color (the number of edge of color ), and asked to change it to . After this change of notation, the energy is defined by the standard formula