Unsure as to where the term 'public good' was utilized along the thread. Regarding 'military conquest' or 'martial law' or 'military rule' its rather widely known that 'military imperium' has a source.
Regarding United Nations, such is a military and economic alliance similar to NATO.
What does any of this have to do with 'natural law' when neither NATO nor the United Nations actually exist in nature?
P.S. No offense but your post seems to make no sense in the context of the thread.