I'm bringing this up mainly because Monz says he's updating his encyclopedia again.
Currently there's an entry on geometric complexity that's clearly incomplete. It refers to a "Graham geometric complexity" which isn't listed on its own. And although that had something to do with me I never understood it anyway.
I thought that maybe my new scalar complexity was really geometric complexity in new clothes. On looking back that doesn't seem to be the case. Geometric complexity is octave-equivalent in some way. And I saw a term like
p_i^2 q_i q_j
which, whatever its significance is, would more likely be
p_i p_j q_i q_j
in scalar complexity.
So, my first question is -- do we agree that scalar complexity, however obvious, is original?
Other questions arise.
Can anybody (I'm looking at Gene ;) define geometric complexity in a way we might understand?
Does anybody still care about it?
Should we tell Monz to drop the entry on it?
Should I say anything about it in my prime errors/complexities PDF?
As scalar complexity has a geometric interpretation, how about we rename that geometric complexity?
Graham