How do I solve this 'lights-on' puzzle?
Solution 1:
It isn't a puzzle, it's a joke in that it's a red herring for over-complicated puzzles in past Cyan games.
Double spoiler:
There is an achievement later for destroying it that refers to it as the "Box of Infinite Complexity".
Solution 2:
I'm struggling with that puzzle too. So while I can't be much help with that, I havended disabled the red beam in this world (Kaptar). Hint: There's a sphere near the red beam that can be teleported back to Hunrath. You can pick up with you need there.