A new proof-of-concept video has demonstrated the second-generation Apple TV’s ability to run iPad applications full-screen on an external display. According to 9to5Mac, the hack was achieved by jailbreaking the device, and completely rewriting the springboard, or app launcher, allowing for display of apps at full 720p resolution. As the device lacks any touch input methods, developers Steven Troughton-Smith and TheMudKip use a combination of…