I have been thinking about this idea for some time also but a couple of things have always bugged me-
Firstly, how does this interact with privacy? For vote delegation to work, I think the votes would have to be public, or you can’t make a decision on who to delegate your vote to- someone could claim to have one set of views but vote contrary to that. People could come under pressure to vote one way or another.
Also, who crafts the legislation that is voted on? How do you prevent bill rolling (two unrelated ideas are boiled down to a single binary choice) and splitting (a new service is voted through but the taxes to fund it are not)?
You said local government at least so a national or state government could help craft these things, but what if the proposed legislation doesn’t actually hurt local people, but doesn’t take into account the actual problems they have locally? For example, what if it would help to allow building in a particular area, but the state government doesn’t know that and it never becomes a priority?