The quantum mystery and beyond

John Bell's remarkable theorem profoundly illustrates the problems that quantum theory present us with, for forming some picture of physical reality that can be consistent with experimental facts. In these three lectures I shall discuss Bel l's result and the implications of such puzzles in relation to possible future developments in physical theory. Does quantum gravity have a central importance in relation to "wave-function collapse"? What is its connection with the second law of thermodynamics? Can ideas such as those of twistor theory prove helpful, where there is an essential non-locality of geometric description? Does quantum theory-or an improved quantum theory- have anything to say about the apparent non computability of mental phenomena?