OP here. I'm reworking the essay quite a bit, e.g. removing the vector space stuff, and the clumsy usage of the word "God".
I've been thinking about these things for so long while not really discussing it with anyone, so there's this soup of associations that doesn't make any sense to any outsider, nor even to me, now when I finally put it down into writing.
Anyway, the essay title will be updated to:
> Is there a canonical parametrization of all social groups that describes their culture?
which captures what I really want to talk about.
If anyone else is interested in this topic, feel free to email me.
I've been thinking about these things for so long while not really discussing it with anyone, so there's this soup of associations that doesn't make any sense to any outsider, nor even to me, now when I finally put it down into writing.
Anyway, the essay title will be updated to:
> Is there a canonical parametrization of all social groups that describes their culture?
which captures what I really want to talk about.
If anyone else is interested in this topic, feel free to email me.