In
quantum gravity, the
problem of time is a conceptual conflict between
general relativity and
quantum mechanics. Roughly speaking, the problem of time is that there
is none in general relativity. This is because in general relativity, the
Hamiltonian is a
constraint that must vanish. However, in theories of quantum mechanics, the
Hamiltonian generates the time evolution of
quantum states. Therefore, we arrive at the conclusion that "nothing moves" ("there is no time") in general relativity. Since "there is no time", the usual interpretation of quantum mechanics measurements at given moments of time breaks down. This problem of time is the broad banner for all interpretational problems of the formalism.