From the preface to his current book (on the web[1]): "However, there are two fundamental problems whose difficulty is a clear reminder of our limited knowledg

From the preface to his current book (on the web[1]): "However, there are two fundamental problems whose difficulty is a clear reminder of our limited knowledge, and whose solution would require a more sophisticated understanding than the one currently within our immediate grasp: • The construction of a theory of quantum gravity (QG) • The Riemann hypothesis (RH) The purpose of this book is to explain the relevance of noncommutative geometry (NCG) in dealing with these two problems. Quite surprisingly, in so doing we shall discover that there are deep analogies between these two problems which, if properly exploited, are likely to enhance our grasp of both of them." The connecting of quantum gravity and the Riemann hypothesis blows my mind. I may never get any great understanding of it, but I have to try. [1]http://www.alainconnes.org/docs/bookwebfinal.pdf http://www.alainconnes.org/docs/bookwebfinal.pdf