Hold one hand very close to one eye, so it can only see hand and the other eye can’t see your hand. Focus on a distant object. Now focus on your hand.
Note how the brain basically erases the image from the mis-aimed eye. The brain does a lot of post-processing work to the signal your eyes send to create an image. That can include entirely ignoring one eye if it’s blocked or mis-aimed.
On a related and gruesome note, I don’t think the nerves and musculature attached to the eye will allow it to “fall out” without some cutting involved.
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