Speaker
Description
The canonical quantization of gravity leads to the Hamiltonian constraint: physical states of the theory are annihilated by the Hamiltonian. Combined with the Schrodinger equation, the Hamiltonian constraint dictates that the physical states of the theory do not evolve in time. Given that the physical states do not evolve, how do we explain the time evolution we see around us? The conditional probability interpretation of time offers an answer. In this talk, I will review this interpretation of time and extend the formalism to include the possibility of clocks interacting with the system whose evolution they are tracking and to include finite size clocks. These generalizations are necessary if the conditional probability interpretation of time is to be applied in a quantum gravitational setting.
