?? form quaternion (e-g)j + (f-h)k .... and another (e+g)j + (f+h)k + jl .... ???? ....

??and then impose that the first one conjugated by a+bj+ck+dl is the second one .... ???? ....

??? maybe "grading problems" here ??? ....

???? very vague feeling about some sort of resemblance here to ... ??? dirac approach to clifford algebra ... ??? ....

?? j collision here ... ??? use u,v,w for basic imaginary quaternions for the moment ...

((e-g)u+(f-h)v)(a + bu + cv + dw) = (a + bu + cv + dw)((e+g)u + (f+h)v + jw) ??? .....

(gb-eb+hc-fc) + (ea-ga+fd-hd)u + (fa-ha+gd-ed)v + (ec-gc+hb-fb)w = (-be-bg-cf-ch-dj) + ()u + ()v + ()w

2bg+2ch + dj = 0 ????

??? ......