You think there is no authority in anarchist government? Have you ever read about horizontal-democracies?

Anarchist just means “against coercive authorities” namely “centralized and hierarchical governance”

You realize the fediverse that creates lemmy is an anarchist structure right?

Plenty if you study history and anthropology. How do you think humans lived for millenia before the invention of currency? You do realize thousands of years separate that from advent of trade and long after we settled down to form permanent communities?

Anarchist government, preferably communist in nature but mutualist works too.

While this is true, this is severely short sighted and misses the perspective of being impoverished and constantly being unable to make ends meet even after you have cut luxury from your life.