For example for Gold backed money, experiment shows it has been rejected long time ago yet, like Newton Theory was rejected after Einstein revolution.
That is probably more true than you expected.
Newton's theory is not rejected. Newtonian physics explains perfectly well what can be observed above an atomic scale, such as things we interact with every day as well as planetary orbits.
Einstein added another level of depth or precision to physics, taking us down to atomic units and predicted what was not possible to observe with the human eye. It did not invalidate Newton.
And while gold back money may have been rejected, it was rejected by those who wanted to exploit the monetary system for their own gain. Gold backed money prevented that exploitation.
Isn't that what you are trying to accomplish?