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An army is just a bunch of people with resources
I’d rephrase to it’s a bunch of people with a potential for work, which is an application of physical force in the real world.
The higher your ambitions and bigger your opposition, the more force required to overcome their force, and the more work required to overcome their inertia. The stronger and better equipped your army, the more work you’re able to perform.
It still all seems arbitrary. I don't see a practical difference between a currency backed by a bunch of rich and powerful people who theoretically have an army and a bunch of rich and powerful people who do not have an army
An army is just a bunch of people with resources