Friendliness philosophy and FAI research are two different domains
Which are, nevertheless, more closely related than friendliness and chakras. It is also fundamentally necessary for many of the most useful fields that you mention. There is no way math deserves to be left out.
I listed all the math I know of that seems relevant to Friendliness philosophy and isn't particularly obscure (like metacompilation). What did I miss?
It seems like algorithmic probability theory and complex systems are the most conceptually rich fields I listed.
I just realized that my 'Interests' list on The Facebook made an okay ad hoc list of fields potentially related to Friendliness-like philosophy. They sorta kinda flow into each other by relatedness and are not particularly prioritized. This is my own incomplete list, though it was largely inspired by many conversations with Singularity Institute folk. Plus signs mean I'm moderately more certain that the existing field (or some rationalist re-interpretation of it) has useful insights.
Friendliness philosophy: