>>95981416
What aspects of "higher dimensionality" are you looking to capture? And on that subject, how do you imagine a higher-dimension being functioning? Fictional interpretations range from "basically just ghosts" to "nigh-omnipotent gods who can alter this lesser plane of reality at will".

Insubstantiality seems like an obvious way to handle the physical aspects, with Always On unless they can "descend" into the 3rd dimension under their own power. Enhanced Time Sense could also apply if we're going with THAT kind of fourth-dimension. But again, it all depends on what you're envisioning.