Three conflicts between quantum theory and general relativity, which make it implausible that a quantum theory of gravity can be arrived at by quantising Einsteinian gravity We highlight three conflicts between quantum theory and classical general relativity, which make it implausible that a quantum theory of gravity can be
arrived at by quantising classical gravity. These conflicts are: quantum nonlocality
and space-time structure; the problem of time in quantum theory; and the quantum
measurement problem. We explain how these three aspects bear on each other, and
how they point towards an underlying noncommutative geometry of space-time.