How to model divisions of everything with spin geometry?
Concepts
- The chain of perspectives {$PPP$} is modeled by reversion and the chain of Human's and God's perspectives {$HGHGH$} is modeled by conjugation.
Odd {$n=2m+1$}
{$V=W\oplus W'\oplus U$} has an extra dimension given by {$U=\langle u \rangle$}.
Even {$n=2m$}
There are two irreducible spin representations and they model the two minds.
{$n=8k$}
In the case of {$SO(8)$} there is triality which I expect models the three minds.