Apart from technical problems of any cryptocurrency that are not going away anytime soon, there's also the problem of adjusting the cryptocurrency to inflation. Without inflation, the economy as it is today would stagnate. It has to be calibrated centrally from data describing the economy (unemployment, export deficit, etc etc).
I could imagine in the distant future every single action contributing to the economy being digitally recorded and then the data would be used to algorithmically adjust the cryptocurrency supply. Could that ever be implemented, I don't know... In theory maybe, but practically I'd guess no, because of the complexity of such a system.