Without injury the input should be shared just fine, but since the difference is so severe when the connections are damaged I guess (with no credentials or so to back it up) that there could be some hard-to-measure differences in thoughts formed depending on which eye is used.
Scientific American Frontiers : severed corpus callosum https://youtu.be/lfGwsAdS9Dc
Try it, YMMV.
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Normally when you look into your own eyes in a mirror they are each looking into themselves.
If you cross your eyes and get the distance just right, you can look into each eye from the other.
For me it causes a strange effect, or seems to. I would be interested to hear reports from others of their subjective experience of doing that?
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Edit to add: Reading aloud also has different effects than reading silently. I surmise that the extra feedback loop from voice to ear has something to do with it.
A common proofreading trick is to read your writing aloud. You catch errors that are [negative hallucination?] elided by, uh, non-external loops.
I find that it no longer works very well for me though: I often read aloud without experiencing or remembering anything I’ve read at all. It’s the same autopilot that takes over driving.
For others interested, look up Roger Sperry's split-brain experiments[1], done at CalTech. He received the 1981 Nobel Prize for the work. I'm surprised the above article doesn't mention it.
We don't cut cut peoples' brains in half any more, so it was a unique moment in time when they had people available with this condition, and the results are quite illuminating.
Here's a video with some interviews with real patients: https://www.youtube.com/watch?v=aCv4K5aStdU
And a here's a timestamp where one of the experiments is performed: https://www.youtube.com/watch?v=aCv4K5aStdU&t=101s
Cutting (or partially severing) the corpus callosum connecting the hemispheres of the brain has been shown to have some interesting results along those lines, though: https://en.wikipedia.org/wiki/Split-brain
It seems un-testable in terms of eliminating any sort of placebo/expectation effect though.
I personally was born with a crossed eye. It's been corrected, but the reading acuity of my secondary eye is worse than my primary. Everything is in focus optically, but reading is more strenuous. It's almost as if there's some letter or syllable sized gaps my brain is interpolating around. Perhaps I only notice it when reading because of the density of high frequency content in all the letters.
left field of retina in both eyes communicates contralaterally with right hemispheric optic cortex, vice versa.