I’m trying to use twitter to gather data about a certain product. Is there a way that I can search all the Tweets in the universe for data on the product I’m researching?
It is not possible. You can search all incoming Tweets by monitoring the Streaming API, and you can search up to around 7 days ago with the Search API, but there is no solution which will give you search capabilities over the entire Tweet corpus.
Will there ever by an Access-Control-Allow-Origin header in the responses from the Twitter / Streaming API? That would enable us developers to create Twitter clients in pure JavaScript…