No. Just no.
Twitter isn't a publisher, it is a communication tool. Users can use it to direct others to content published elsewhere. Its self-imposed length restriction makes it pretty useless for actually publishing anything (and I believe the guy testing the waters by trying to register copyright on a tweet has had no luck to date).
Google Search isn't a publisher, it's...a search engine. (I'm not sure how to highlight the difference if it isn't obvious to you.)
The common point between them is that Twitter and Google themselves aren't determining the content you see - you, the user of their services, are.