Well, at least one thing that Doctor Who and the new Star Trek have in common is weird science.
In this episode, we learn that the trio discovered the whereabouts of the Doctor after developing an image which revealed a mirror image of him on the iris of a deceased man. This is bogus science, but I don't question it because this is Doctor Who, and weird science is an essential element of the series.
However, Star Trek has operated on, in my opinion, firmer science than that. Occasionally, it will dip into weird science, sometimes with hilarious ineptitude ("Threshold"). I can take simple scripts, if they are done well. "The Trouble with Tribbles" is a simple script, yet it is a wonderful story.
However, the rebooted Star Trek has overturned the apple cart, so to speak, and we get this gem -