As far as I know, Roger Penrose first proposed the idea that quantum effects on neural processes will make computational modeling of said processes impossible. It is highly speculative, and the strongest evidence it's got going for it is that an eminent physicist wrote a book based on it (The Emperor's New Mind.)
The Emperors New Mind is an excellent primer in physics but it failed to sell the quantum idea of the brain in a convincing way.
I expected a rather stronger argument, especially from someone as high up in the hierarchy of science as Roger Penrose, and after laying such a huge foundation.
Maybe there is one but if there is I haven't found it in that book.
The Emperor's New Mind was (IMO) abysmal, and I was really embarrassed to see someone with such indisputable genius as Penrose put out such drivel. You're very right, the strongest evidence for his theory there is that an eminent physicist wrote on it. That's not a good thing.
Please, if you've subjected yourself to that nonsense, cleanse your palette with The Road To Reality - math/physics is where Penrose shines, and that book is him at his brightest.
