Should a dual Charity be built into a P.G.A ?

Vectorspace GA
1

4D Caterion(Handed Quaterion)
Cq^2 =(-a-bi^2-cj^2-dk^2)=+h^2=-1
Cq^2 =(+a-bi^2-cj^2-dk^2)=-h^2=+1
h^0=+1, h^1=0, h^2=-1, h^3=0
A real nuber itself is a duel number?.
Does this not give you Charity in each quadrant ?.
Like a dual Hyper-charge.