Question about Black Hole types

[Detective_Blizzard]

So, I've been looking around and I've noticed something about how we used black holes in general. Basically every single example of black holes used utilize the logic and mathematics of cosmic black holes however there are different versions of them that exist. The one I want to know about is if there is any precedent on quantum black holes and how they operate on here? These are a type of black hole generated from protons colliding which can theoretically be generated from superconductive particle accelerators if given enough energy (as otherwise the black hole would dissipate too quickly on account of not having enough math which is what would normally happen if we tried to do it with today's tech). As a result of their nature they are far weaker than normal ones in power and can have less mass than that of a mountain.

Mainly asking all of this because I actually do have a feat of one and want to know how to handle it properly