Zeta male refers to the 4th social hierarchy position among males. (alpha - top, beta - second, omega - the rest). Zeta males consciously reject a the traditional social position as it is based on how they are valued by women. Zeta's can be straight, bi or gay.
I asked Jim to buy be a drink and he said I should pay for it myself. I guess he's a Zeta Male
A term coined from the star Zeta Persei of the constellation Perseus, named for the Greek God Perseus, slayer of Medusa, the female monster that feminists eventually embraced as representative of feminist rage. Zeta Male represents a slayer of the feminist monster.
Why didn't that guy show respect to that woman when he saw she could be placed first? He's a Zeta Male and lives on his own terms. Besides, what reciprocal obligation does that woman have to men but "choices".