A note:
Technically if a system can index news stories faster than those people who tend to gradually share on Twitter, your system will always be one step ahead of the crowd. The real-time search on Twitter is the real-time chatter around certain stories not the actual content, that means there will always be a latency. It looks like Twitter will serve better as a real-time public opinion.
Here is a sample among many:
(the search query is picked as a sample trending topic at the time of writing this note)
22 minutes time period for latest 15 tweets:
http://search.twitter.com/search?q=Ivanka+Trump 3 hours time period for latest 20 "controlled" articles comprised of images, summaries and "two-dimensional related keywords":
http://www.rssmicro.com/search/Ivanka-Trump RSSMicro real-time search is not yet fully implemented and considering the resources available to both Twitter and RSSMicro, it seems reasonable to believe that Twitter does not have a significantly higher edge over other content distribution methods and is not a final solution to real-time search.