I will present a consistent theory of classical systems coupled to quantum ones. One can derive the most general classical-quantum evolution by demanding that it be completely positive and trace preserving. The resulting master equation has both Lindbladian and Fokker-Planckian features. In the classical limit, this gives a stochastic processes like a random walk which can produce an entropic force. We then apply the formalism to general relativity, since it's reasonable to question whether spacetime should have a quantum nature given it's status within quantum field theory. Because of the stochastic nature of the theory, we find a deviation from general relativity at low acceleration. We compute how this modifies the expectation value of the metric, and find there is an entropic force which may explain galactic rotation curves without needing to evoke dark matter.


Video Recording