If cost of replication and distribution of every product globally can be driven (close) to zero, only a few best products in each category can have economic existence. Therefore as distribution gets more efficient it's winner-takes-all market. In winner-takes-all markets wealth distribution is extremely skewed by definition.
So if technology takes us so much further that a lot of people won't be able to add more value to the economy than they will be 'taking away', the governments will have to find a way to keep balance before social unrest takes the main stage.
Some more thought should be put in this direction. Here's a milder possibility of controlling for winners-take-all phenomenon - limiting the maximum market cap of companies and then splitting them up after they reach it. This wouldn't shock the economy as much and would provide sort of balancing and competition at the top. Also stock owners wouldn't be too much worse off.