ImperialFighter said:
Having looked at all the relevant scenes, we never see that path and door (to Vader's quarters) clearly. What we do see is Vader turning the corner on his right, once he's past the 'control room' section, after Piett tells him that the Emperor wishes him to make contact. We then cut to a few seconds (approx. 5 or 6) of the 'Executor' coming out of the asteroid field, before cutting back to Vader inside his quarters.
I reckon this brief cut to the Executor works fine in 'real-time' before we cut back to Vader in his quarters, because I think the dooway to his quarters is literally just around that right corner that he turns into.
Unfortunately I don't have a screenshot of it, but later on, just after Vader has choked Captain Needa, he then disappears off around that right corner again, and just before the scene ends, we can see that he begins to go down steps. The 2 'security guards' seen standing in front of the doors in the 'unused' shot seen below here (one can be seen in the actual shot above), are not at the top of the stairs that Vader goes down after he chokes Needa....because I believe they are the 2 'security guards' that happen to be disposing of Needa at this point.
Here's an 'unused' shot showing the outside doorway to Vader's quarters, which is just barely out of shot at the end of the Captain Needa scene....showing the steps that Vader goes down at that point -
'Security guards' are normally stationed outside (as they seem to be at various other doorways, too), but were carrying Needa away in the scene where they would have been positioned here normally, which would have identified the positioning easier for us to begin with.
Just to clarify, the area I was referring to which ends in Vader being seen to go down steps is behind where those crewmembers are looking on here. Where the steps led to was just barely out of sight here, but I always thought that the doorway to Vader's control quarters were just down there, as seen in the 'unused' shot above -
vaderios, there is indeed a momentary 'dimming' in this shot, and it's on the GOUT too. It looks as if there was a deliberate (?) slight dimming of the lighting above the main walkway only, at this point in your right-hand shot.