The public is not aware of the continous loss of metals due to the forces of friction and corrosion simply because these losses are dwarfed by the continous process of mining new metals. However, the earth is a finite planet which means, that metal ores will be exhausted one day. The question is, how long will the metals continue to exist above the ground once they are mined? I am not an expert on these matters, but I believe that the lifespan of metals can be measured in centuries only (if not less), not millennia. In other words, once the business of mining metals stops simply because in a economy contstrained by the lack of energy resources, food production will be much more important than mining metal ores of poor quality. In other words, we do not fully realize that the cheapness of metals is the result of the cheapness of fossil energy sources (coal, oil and NG).
Back to paper based fiat money. There is less than one ounce of gold per world citizen above ground. That figure will not change dramatically once the mining for gold stops for good as there less gold under ground than there is gold above ground (a staggering thought). Some experts claim that there is less silver above ground than there is gold. These observations, if true, make it clear that we can not have a monetary system based on precious metals only. There is just not enough precious metal around in order to satisfy the needs of more than 6 billion people living on earth. It is therefore clear that we do not have much choice when issuing a currency. That money must be printed on paper or in form of bytes in a computer memory system.
Since paper is a renewable resource, printing money on paper is a sustainable activity while minting coins out of metals is not sustainable since the mass of all coins issued is subject to a decline rate of roughly 2% per year (the decline due to friction, corrosion etc). As long we have trees, we can print paper money. However, metal coins will one day disappear from circulation simply because metals will become very scarce.



