Chapter 2 - Begins at 06:05
in the video below.
Head forward and look at the eye to the right, backing away to raise its platform. Head up the stairs and make sure flame #1 in the stand at the top is lit when you leave (it turns on/off each time you look away and look back at it).
Through the next door you'll see flames #2 and #3 beside the door as you enter, as well as the flame door to the left that will open for an achievement once they're all lit. Make sure both flames are lit before you head downstairs (or leave them for when you come back to the door).
Head toward the door and look to the left just before you enter it for flame #4. Back away from the next door looking at its eye to open it, then look at your feet as you go toward it and through. Around the next corner to your left is flame #5. Make sure it's lit, then head back to the flame door, ensuring that flame #4 is lit as you pass. When you return, you may turn off flame #2 and/or #3 so make sure they're lit and enter the now-open fire door.
The bridge raises and lowers with you when you jump if you're looking at the eye. Look away and jump, looking back at the eye as you fall to lower it to your level. Get onto the bridge and do the opposite, jumping while looking at it and looking away as you fall. Once you raise it up and get to the sign, you'll get the Spirit achievement.
Head back downstairs past the flames and through the two doors with the blue eyes in them and through the 3rd door with the blue eye beside it (keeping the eye in view). In the next room, go down and turn the bridge by looking at its eye and moving about its base, then look away when its in position.
*Painting Alert - Just after this first bridge that you rotate, you'll find Painting #4 to the left. Keep this one in mind for when you come back and view the 5 paintings in order later for the final achievement.*
In the next room you'll have two more bridges you'll need to rotate into place by looking at their eye and moving around the base. Once they're in position head back up and across both. Next you'll need to lift a bridge into place and cross it. Look at its eye and strafe to your left to raise it, then look away and head across it backwards, keeping its eye out of view all the way across.
For the floating platforms, they rotate as you look at the eye and turn your camera. They're lopsided, so rotate the eye away from the next one you're jumping to, then look at your feet and jump across each one. The final room has an eye on the ceiling. Just look up and rotate it 180 degrees to open the door to the dais and exit. You'll unlock Center of the Universe.