Abstract
In this paper, we demonstrate that there is an absolute physical limit on how small the smallest money unit can be, no matter how much we are able to improve our technology. The smallest money unit seems to be directly linked to the smallest possible energy unit needed to store one bit. If the smallest money unit is smaller than the cost of energy of storing one bit then there seems to be an arbitrage, which will also constrain money producers such as central banks from issuing money with a smaller denomination than this minimum money unit.
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