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What you call "pattern of splitting" is a feature.

In a decentralized society political power is decentralized, much like you have different music genres, or universities or restaurants.

People are still able to communicate, read and write and influence each other even if they wear slightly different hats.

> How about N ~= 1,000,000,000?

See the stateless democracy in Rojava, which is perfectly compatible with anarchism:

https://iasgazette.com/2021/01/14/democracy-of-the-stateless...