Thanks to everyone for your comments and inputs!
I doubt that. Not because of a lack of intellectual abilities but of interest.
This is an important point. But to play along, my question was more on the ability or the potential of the meditator in question.
The problem is that in most cases the non-meditators can't reproduce or verify the experiences of the meditators unless they undergo a similar meditation practice. I think that there is a rather high risk that the meditator would appear as insane or as a liar to the non-meditator as soon as his words are unverifiable and not in accordance with the belief system of the scientist
I agree with this, but I was kinda trying to go the other way: whether meditators can translate their insights into mathematical language, creating mathematical structures and deriving results in terms of theorems
? There is no question of unverifiability left then. The physicist Edward Witten, for example, has used physical insights in a brilliant way to obtain deep mathematical results( for which he was awarded the Fields Medal, the highest honour in mathematics, even though he is a physicist. He is the first physicist to have done so.)
any discipline -- scientific, artistic, poetic, spiritual, etc. -- will, if the student is truly diligent, lead to the same place.
I'm afraid I do not agree with that, at least in the field of science, and in particular in theoretical physics and mathematics. In my opinion there is a limit to which u can reach simply through diligence and effort, but there are some people whose level you'll never reach. To Richard Feynmann, the great physicist and Nobel laureate, it was said:
"There are two kinds of geniuses: the 'ordinary' and the 'magicians'. An ordinary genius is a fellow whom you and I would be just as good as, if we were only many times better. There is no mystery as to how his mind works. Once we understand what they've done, we feel certain that we, too, could have done it. It is different with the magicians. Even after we understand what they have done it is completely dark. Richard Feynman is a magician of the highest calibre." - Mark Kac
@Moggallana: Thanks for the link! I know of the Mind and life Institute, but to me it seems like its just a dialogue, not really "work", in terms of concrete results. For example, the Dalai Lama or Bhikkhu Thanissaro(just to name a couple) have not appeared as authors of any article in a journal of physics or mathematics. The only real input as far as I can understand has been in the fields of Psychology and neuroscience( one such phenomenon which has been studied in neuroscience with help from Buddhist Meditation is of Brain Plasticity
, see also http://brainimaging.waisman.wisc.edu/publications/2008/DavidsonBuddhaIEEE.pdf
). So things are in its infancy compared to what I have in mind.
I appreciate the replies and look forward to more!