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There are many theories linking consciousness and quantum physics, and it's important to say that this research doesn't prove any of them. However, if the research can be replicated in a proper peer reviewed way, it will provide startling new correlations between observed effects of consciousness and quantum physics.
These tryptophan networks are common in microtubules, structural components widespread in all cells. Although no one knows why anesthetics cause people to lose consciousness, there is evidence for them having effects in these microtubules. There is also existing research that seems to show correlations between quantum behavior in these microtubules and the actions of anesthesia. With this fresh research, now it seems there may be a further link between these microtubules and quantum physics.
Its possible implications for AI may be huge too. Some assume current approaches to AI will lead to some form of machine consciousness; this suggests that belief may be misplaced, as 3D structures like microtubules may play a role in creating it.