Sorry for the maybe-trivial post, but I really cannot figure it out...
Let's suppose you have some 3d glasses or something that allows you a 3d stereo vision.
What happens if you invert left and right image??? Thinking at it I cannot really figure out it. Should you see the reverse of the image? Or just some axis-shift?
Unfortunately I cannot try it out in any way, but even if possible, I'd love to try to figure out and understand the thing with my mind before trying it.
So, please, any help, any idea, any hit that can help me to understand or to deeply discuss are welcome.
For the human brain it's next to impossible to give a formal answer, because frankly, neurologists still don't fully understand how it works in detail. But so much we know:
Our brain does no absolute "measurement" on the parallax in stereo images. The whole depth perception works on parallax differences. You could say, the brain takes the derivative of the parallax to build it's mental representation of depth. Derivative of Parallax and depth are taken to be (nearly) proportional. By swapping the pictures the derivative gets negative, so at every point the brain sums up depth in the wrong direction.
However parallax is not the only source for depth perception. Of similar importance is experienced knowledge about typical object in the world. For example faces are "known" to be never inside out, so even with negative parallax the knowledge will overrule and the face being percept in the right form (however it'll clash hilariously with the surroundings).