I call this reboot series the Abramsverse, to distinguish it from past Treks. The 24th century era is no longer very 'modern', so Modern Trek doesn't cut it anymore. How about calling it the Bermanverse?
'Nu' has been around for a while. I remember hearing it in the early 2000s, to describe the genre 'nu metal' (there is no longer anything new about nu metal. In fact, it's quite passť now)