Twitter has an eye on your location — and is testing ways to share it with other nearby users. The short-messaging service appears to be testing a new timeline for its mobile app, called “Nearby.” It shows recent nearby tweets, whether you follow the tweeter or not. The “Nearby” timeline has appeared occasionally in recent days on the phones of users who allow Twitter to see and use their location. The apparent test could be part of an effort to prompt more users to share their location. That would make the network more locally relevant, in the manner of Foursquare. It also would allow Twitter to offer advertisers more precise targeting capabilities. Twitter has allowed users to add their location to tweets since 2010. But that feature is turned off by default and must be turned on by the user.