Formation of a social group generates a shared mathematical value between the group and each of its individuals. What really happens if an individual forgoes the portion of the constant? The value goes to the group. In turn, this forgone value for the group creates a few special individuals who instead own it now on behalf of the group. The foregone value creates two types of individuals within same group-one with the lost portion and special individuals with advantage of gained portion. The simultaneous existence of weaker and powerful individuals in a group brings forward the distinct characteristics of slavery. The constant is mathematically pivoting the group behavior. It can be used to analyze mass psychological, economical, capitalist, historical and evolutionary patterns of the group. The same constant can be used in generating ancillary physics for the group.