Real democracy = real people voting on real issues, all the time, bla bla, de expandat.
So, as for the real democracy to work, there has to be a way for people to express their votes on different issues. Electronic voting is the only system capable of handling the scale of such an endeavour. Billions of people voting daily on thousands of issues rules-out the classical ink-on-paper approach. It is highly inneficient to the point of impossibility.
The only problem with e-voting is that there is no real electronic voting system in place today, that satisfies the two requirements of the voting process: authentication and secrecy of the vote.
Authenticity is obvious. We need to make sure that the vote represents the actual wish of the person.
The second problem, secrecy, is equally important. Short explanation: If somebody has access to the information of how a person voted, a whole slew of manipulation opportunities arise. People can be bribed, threatened, forced, or otherwise coerced to vote differently than they would wish. The secrecy of the vote takes care of that problem. Nobody can "buy" votes if they cannot make sure they get what they want.