I have no idea why or what exactly physical money is, since money mostly isn't physical, but it seems to me that it might not disrupt society too much if we redistributed all of the stock in companies in the S&P 500 equally. We already have widely diversified ownership, with index funds and pension funds, so why not take it all the way?
However, the total value of the S&P 500 (which is probably about half the world stock markets value) is about $26 trillion, so that is about $3400 per person or maybe double or triple for a family. And the dividend of 1.75% means an income of $60/year if you hold on to the stock.
So I think doing this redistribution would result in everybody to whom $3400 is a lot immediately selling (assuming they were allowed to). I'm not sure what the distribution of capital would end up being. Someone would buy, say "Barren Wuffet" who fortunately had all their investments in cash, bonds, and small cap stocks. So ownership would end up being concentrated again, but maybe not as concentrated.
Anyone who has a lot of money saved for retirement in a large-cap fund would be unhappy, but why should you be better off than an average citizen of the world?
It seems like a fine experiment to me.
Edit: but just to spell it out, obviously politically impossible given the consequences for first world people who are relatively privileged but don't think of themselves that way. The median IRA balance (note, not the average that is skewed by the rich) is somewhere around $20-30K, so redistribution would affect those people like a 90% market crash.