I think remembering that, at least in movies, it originated with Event Horizon is critical because it is the only one that takes into account any downside to transdimensional travel...and what a downside it was.
I will always mourn the loss of any possible director's cut of Event Horizon where the footage was so insanely over the top that the execs almost shit their pants.
I wonder if the movie still holds up. I haven't seen it in 20 years, but it was the most terrifying movie I had seen up until that point, and for a long time afterwards too.