Hmmmmmmm.... Maybe the reason that they are invisible to us is not because they're [it's] so tiny, but because they're [it's] so vast? Grandpierre suggests that neurons per se cannot be the mediators of a brain interacting with another brain or nervous system, simply because they are "too large" to be the material carriers of such transmissions. The same holds for cells, molecules, and even atoms. What we're looking for is to be found at least at subatomic, but more likely, at particle/wave levels. Does multistring theory suggest that a teensy little "time window" (extra dimension) must open up to enable wave propagation, and then must close again -- disappear -- once that process is complete? Seems like doing things "the hard way" to me. Kinda kludgey!
But I really don't know; as you say, all this is hypothetical at this point. But I agree with you: a revolution in Galilean science could ensue any time now. We just don't know what that looks like yet!
Thank you so much for writing, RightWhale.
You are sooo close to an article I recently read, that I can probably find again if you are interested - though I'd have to look for it over the weekend most likely. The meat of the article was that the dimension we call time is the consequence of wave function. That puts the time dimension question in the ballpark of Quantum Field Theory - hence the connection. Or as AndrewC once said (paraphrased) when something moves, everything moves.