?? so(3,4) (?? and / or pso(3,4) ?? .... ???? ....) ... grassmanian of 2d isotropics .... ?? subvariety consisting of nil subalgs of split octonions, vs subvariety consisting of ... ?? rolling trajectories for fermion rolling on projective plane with 1:3 radius ratio ... ?? whether these two subvarieties are "equivalent" in certain sense .... ??? so(3,4)-equivariantly, maybe ??? .... ???? ..... ?? and what yes / no ( / ?? ...) answer would mean, conceptually ..... ???? .....

?? first subvariety here as, what, cubic ??? .... ??? ... not quite sure actually .... ??? for some reason vaguely reminds me of "generalized pluecker embedding" issues .... ??? .....