You could look at the Streaming API, more specifically:
http://stream.twitter.com/1/statuses/sample.json. I don't know if this
is a full stream of new public tweets or not (could someone specify
this for me too please?), but it looks like a nice start...

On Nov 2, 10:37 am, Kal <kallin.nagelb...@gmail.com> wrote:
> Hi everyone. I've been working on a twitter app with a small team for
> about half a year now that is focused on geocoding and mapping of
> tweets. Work so far has been done with dummy data, since the geocoding
> APIs aren't available yet. I've been looking at how I might use the
> upcoming APIs to access real twitter geo data, but it doesn't seem
> possible to get the data that we need.
>
> Right now in our test application we have a database of fake tweets
> that include lat/lon coordinates. This allows us to do queries for
> specific regions, periods of time, etc. For example, we need to know
> how many tweets were made within a certain rectangular area (someone's
> mobile screen) within the last hour, week etc. Right now I can get all
> of the tweets in one query, and then perform clustering to display
> them on a map. I cannot see anything in the upcoming APIs that allows
> me access to this sort of data.
>
> I've looked 
> athttp://search.twitter.com/search.json?geocode=40.757929%2C-73.985506%...,
> but that only gives tweets within a certain radius, and only up to 100
> at a time. This isn't practical when I need to identify on a map where
> perhaps thousands of tweets have happened over an extended time
> period. I've looked elsewhere and can't see anything that would help
> our situation, save the firehose. I know it says don't contact twitter
> about access, they'll contact you, but there is no way to launch our
> app without access to it.
>
> I would love to hear any suggestions people might have as to how I
> could perform the queries I need to perform, or perhaps alternative
> techniques I have neglected to think of.
>
> Thanks,
> Kallin Nagelberg

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