We all talk about Beta and Alpha Males. That all makes sense. But what about the SIGMA male?

This is similar to an alpha, but its the "lonely wolf" Version as i understand.

I wouldnt say im a beta. I dont give a shit about anyone. I dont even need groups, love and stuff like that. I love being in the background, acting smart and not telling anyone anything about it. Im only focused on my own success and advantages. Im not even forgiving people that easy. Can easy kick them out of my life.

I tried out to have relationships, but always i get lazy, comfortable and stuff like that. I dont feel alive. When im single like i am right now, i walk through the town at night alone, listening music and stuff like that. I feel alive when breathing in cold air midnight and having a feeling of "me against the world" looking at the street. (You should try that out - if you are open for such things it can be wonderful. Sometimes i just stay or sit somewhere and listen to the silence - no cars, no one around, just silence).

So i dont wanna write my life story.

TLDR: Why isnt Sigma Male a thing? Everyone calls himself alpha/beta only.