Considering the situation described in the question, the idea is unconstitutional. The idea does not align with the United States Constitution under Article I, Section 8, Clause 5.
This part of the Constitution is often referred to as coinage power, and it states that "The Congress shall have power... to coin money, regulate the value thereof, and of foreign Coin, and fix the standard of weights and measures."
Thus, given that the power to create money and determine its value is only vested in the US Congress, my idea as a state legislature to create and issue money is unconstitutional.
Hence, in this case, it is concluded that it is only the United States Congress that can create and determine the value of the currency.
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