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I think that you are saying that it doesn't matter if currency is fiat or backed by gold. That just is wrong.What is the difference in basing the value on a metal and any other means. Both are subject to the laws of supply and demand but instead of being able to devalue currency simply by printing more of it it woud be backed by something.
Economist Paul Samuelson put it, money is a "social contrivance" whose value is more or less conjured out of thin air.
If the value of the dollar is based upon gold, then the metal's wild price movements, up to $1,600 an oz. and then down to $1,200, would cause wild fluctuations in prices and inflation and deflation. It would also prevent the Fed from expanding its balance sheet many times over without inflation. That would essentially put chains on the Fed's ability to deal with recessions.
Green pieces of paper have no intrinsic value, except that I accept green paper from you because I am confident that I can turn over the paper to someone else in exchange for what I want. There's nothing to prevent that process of monetary circulation from going on forever. But gold also has no intrinsic value. It is valuable because we accept it is valuable.
Thus, it boils down to gold constricts what governments can do to manage their economies and fiat money frees governments to manage economies. That is why the 100 years preceding the creation of the Fed are marked by wild hyperinflation and deflation that was absent the 100 years after the Fed's creation.