  In the Entropic Dynamics (ED) framework quantum theory is derived as an
application of entropic methods of inference. The physics is introduced through
appropriate choices of variables and of constraints that codify the relevant
physical information. In previous work, a manifestly covariant ED of quantum
scalar fields in a fixed background spacetime was developed. Manifest
relativistic covariance was achieved by imposing constraints in the form of
Poisson brackets and of intial conditions to be satisfied by a set of local
Hamiltonian generators. Our approach succeeded in extending to the quantum
domain the classical framework that originated with Dirac and was later
developed by Teitelboim and Kuchar. In the present work the ED of quantum
fields is extended further by allowing the geometry of spacetime to fully
partake in the dynamics. The result is a first-principles ED model that in one
limit reproduces quantum mechanics and in another limit reproduces classical
general relativity. Our model shares some formal features with the so-called
semi-classical approach to gravity.
