muscle wise, of course moving your eyes in opposite directions is possible. But the control of our eye muscles is only partially conscious, and the brain just doesn’t allow us to do it. I presume with heavy training early in life it might be possible, but very uncomfortable.
As a side note, if you damage one of the nerves controlling you eye muscles, your eyes will both be looking in different directions and you will see 2 separate images, that you brain will try to reconcile into a single image. I imagine this would give you a serious headache!
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