So you have a theory of distribution and need a currency to implement it? I suppose a Bitcoin-like currency could be modified to behave in this manner.
I see two fundamental problems with using a Bitcoin-like system to implement a Universal-Dividend-like system:1. How does the system identify "individuals" ? If you've got a completely automated way of doing that I really want to know about it! freebitcoins.appspot.com could really use a foolproof system for identifying individuals.
2. If everybody gets a dividend, why would anybody bother running a block-generating node? What is the incentive for doing the work needed to support the system?