Ğ1 is based on the Relativity Theory of Money (RTM), that demonstrate the possibility for free currencies to exist as it defines them.

To validate the demonstration and the mathematical tools it provides, some experiments have been conducted :

Ğeconomicus is a french game that simulates economy. Its results show that the free currency is more efficient than the debt-currency (€) to solve inequalities, favor the production of values and exchanges.

Ğ1 currency is the first application of a medium-scale free currency. Despite the fact that the sample is still too weak to conclude on the questions of inequalities, we can record that it works.