To not make it zero-sum, money would need to either have to be created in a transaction or somehow raise its value. The former clearly doesn't happen and is a terrible idea and the latter doesn't either and even if it did, it would affect both sides (rich an poor) equally (as a ratio, not absolute) and therefore even widen the gap in purchasing power.

Money is literally created every day. It's exceedingly easy in fact.

Yes, but because the amount in circulation goes up, the value of it goes down. And it's not like the money that is created benefits the poor - it just allows rich people to borrow more probably make even more money from their "investments".